Metrics for ln(1 + x)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB 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)

sample598.0ms (31.7%)

Memory

21.7MiB live, 908.9MiB allocated; 205ms collecting garbage

Samples

337.0ms	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-log1p: 118.0ms (98.7% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

explain44.0ms (2.3%)

Memory

11.7MiB live, 106.3MiB allocated; 4ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
173	-	-	`(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	173	0

Confusion

	Predicted +	Predicted -
+	173	0
-	0	83

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	173	0	0
-	0	0	83

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	83
1	173

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

16.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-log1p: 5.0ms (76.3% of total)

ival-add!: 2.0ms (30.5% of total)

adjust: 0.0ms (0% of total)

preprocess211.0ms (11.2%)

Memory

15.2MiB live, 249.6MiB allocated; 25ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.8%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

series12.0ms (0.7%)

Memory

-33.7MiB live, 8.3MiB allocated; 12ms 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
11.0ms	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)

rewrite209.0ms (11.1%)

Memory

-5.0MiB live, 141.4MiB allocated; 65ms 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 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.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 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 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 #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) (pow.f64 x #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (-.f64 (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64) (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64)))) (/.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)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ 1 x)) (+.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (log (+ 1 x)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))

eval13.0ms (0.7%)

Memory: 11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 455 to 145 computations (68.1% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Accuracy

100.0%

Counts

42 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
✓	36.8%	(log.f64 (+.f64 #s(literal 1 binary64) x))
▶	68.1%	#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))
▶	69.1%	#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))
▶	68.1%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
▶	69.2%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 104 to 84 computations (19.2% saved)

series7.0ms (0.4%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

19 → 75

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) 1/3 (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (* -1/4 x) 1/3) -1/4)
2.0ms	x	@	-inf	((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) 1/3 (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (* -1/4 x) 1/3) -1/4)
1.0ms	x	@	0	((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) 1/3 (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (* -1/4 x) 1/3) -1/4)

Time

Variable

Point

Expression

2.0ms

inf

((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) 1/3 (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (* -1/4 x) 1/3) -1/4)

2.0ms

-inf

((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) 1/3 (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (* -1/4 x) 1/3) -1/4)

1.0ms

((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (+ 1 x)) (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (+ (* (+ (* 1/3 x) -1/2) x) 1) (+ (* 1/3 x) -1/2) 1/3 (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (* -1/4 x) 1/3) -1/4)

rewrite166.0ms (8.8%)

Memory

17.8MiB live, 247.9MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1437
0	251	1333
1	1038	1300
0	8610	1299

Stop Event

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

Counts

94 → 272

Calls

Call 1

Inputs
(log1p.f64 x)
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))
(*.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)
#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))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#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))
(*.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)
(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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 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 (* (+ (* -1/2 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 (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/3 x) 1/2)))))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 (- (* 1/3 x) 1/2)))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/3 x) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (- (* 1/3 x) 1/2)))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 (+ 1/3 (* -1/4 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 (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 (* x (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 (* -1/4 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (* -1/4 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 (* -1/4 x)))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 (* x (- (* 1/3 (/ 1 x)) 1/4))))
#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 (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 (* -1 (* x (- 1/4 (* 1/3 (/ 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 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x (neg.f64 x))))
(log.f64 (-.f64 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))
(*.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)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
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(+.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (*.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 (*.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) #s(literal -1/4 binary64)))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (*.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
#s(literal -1/4 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)
#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 (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 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 (+ (* (+ (* 1/3 x) -1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* 1/3 x) -1/2) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 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 (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 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 (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (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)))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)))
#s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* -1/4 x) 1/3) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
#s(approx (log (+ 1 x)) (log.f64 x))
#s(approx (log (+ 1 x)) (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (-.f64 (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64) (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) x))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x x)))
#s(approx (+ (* 1/3 x) -1/2) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (+ (* 1/3 x) -1/2) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1/4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/4 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal -1/4 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x) x))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (* -1/4 x) 1/3) (*.f64 #s(literal -1/4 binary64) x))
#s(approx (+ (* -1/4 x) 1/3) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ 1 x)) (+.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (log (+ 1 x)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (+ (* -1/2 x) 1) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (+ (* 1/3 x) -1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) x) 1) (.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) (.f64 x x)))
#s(approx (+ (* 1/3 x) -1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) x) #s(literal -1/4 binary64))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/4 binary64)) x) x))
#s(approx (+ (* -1/4 x) 1/3) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))

eval67.0ms (3.5%)

Memory: 13.8MiB live, 58.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 883 to 1 210 computations (82.4% saved)

prune37.0ms (2%)

Memory

-19.1MiB live, 25.2MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	293	6	299

Accuracy

100.0%

Counts

299 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	36.8%	(log.f64 (+.f64 #s(literal 1 binary64) x))
▶	68.1%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	69.1%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	68.1%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	69.2%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 54 to 41 computations (24.1% saved)

series5.0ms (0.2%)

Memory

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

Counts

14 → 53

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

Time

Variable

Point

Expression

1.0ms

-inf

((log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) x -1/2 (log (+ 1 x)) (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (+ (* 1/3 x) -1/2) 1/3 (log (+ 1 x)) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (* -1/4 x) 1/3) -1/4)

1.0ms

inf

((log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) x -1/2 (log (+ 1 x)) (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (+ (* 1/3 x) -1/2) 1/3 (log (+ 1 x)) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (* -1/4 x) 1/3) -1/4)

1.0ms

((log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) x -1/2 (log (+ 1 x)) (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (+ (* 1/3 x) -1/2) 1/3 (log (+ 1 x)) (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (+ (* -1/4 x) 1/3) -1/4)

rewrite220.0ms (11.7%)

Memory

-9.0MiB live, 227.2MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	1020
0	194	949
1	884	923
0	8015	889

Stop Event

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

Counts

67 → 223

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)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
#s(literal 1/3 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 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 (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 (- (* 1/3 x) 1/2)))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (- (* 1/3 x) 1/2)))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (- (* x (+ 1/3 (* -1/4 x))) 1/2)))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 (+ 1/3 (* -1/4 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 (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 (* x (- 1/3 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 (* -1/4 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 (* -1/4 x)))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 (* x (- (* 1/3 (/ 1 x)) 1/4))))
#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 (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))))
#s(approx (+ (* 1/3 x) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))))
#s(approx (+ (* -1/4 x) 1/3) #s(hole binary64 (* -1 (* x (- 1/4 (* 1/3 (/ 1 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)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 x (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) x)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) 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 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)))
(-.f64 x (.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64)))
(-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)
(+.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.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 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))
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(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1/3 binary64) (-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))))
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(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (pow.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) #s(literal -1/4 binary64)))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
#s(literal -1/4 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)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (+ (* (* x x) -1/2) x) x)
#s(approx (+ (* (* x x) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) x)
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (+ (* 1/3 x) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* 1/3 x) -1/2) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) x)
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)))
#s(approx (+ (* -1/4 x) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* -1/4 x) 1/3) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
#s(approx (log (+ 1 x)) (log.f64 x))
#s(approx (log (+ 1 x)) (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (-.f64 (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64) (+.f64 (log.f64 x) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (+ (* (* x x) -1/2) x) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) x) (.f64 (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* 1/3 x) -1/2) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (+ (* 1/3 x) -1/2) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/3 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x) x))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (.f64 x x)))
#s(approx (+ (* -1/4 x) 1/3) (*.f64 #s(literal -1/4 binary64) x))
#s(approx (+ (* -1/4 x) 1/3) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) x))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ 1 x)) (+.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (log (+ 1 x)) (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))))
#s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64))))
#s(approx (+ (* 1/3 x) -1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (* x x)) x) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -1/4 x) 1/3) x) -1/2) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/4 binary64)) x) x))
#s(approx (+ (* -1/4 x) 1/3) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))

eval99.0ms (5.3%)

Memory: 22.5MiB live, 67.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 076 to 950 computations (84.4% saved)

prune29.0ms (1.5%)

Memory

-14.9MiB live, 30.9MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	273	6	279

Accuracy

100.0%

Counts

279 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	36.8%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	68.1%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	69.1%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	68.1%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	69.2%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 150 to 72 computations (52% saved)

regimes15.0ms (0.8%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs
(log1p.f64 x)

Calls

3 calls:

5.0ms	x
4.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
4.0ms	(+.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)

regimes16.0ms (0.9%)

Memory

-19.9MiB live, 24.0MiB allocated; 6ms collecting garbage

Accuracy

Total -1.0b remaining (-5.1%)

Threshold costs -1b (-5.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
4.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
3.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
69.2%	1	`(+.f64 #s(literal 1 binary64) x)`
69.2%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
69.2%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

simplify83.0ms (4.4%)

Memory

-6.8MiB live, 49.0MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	9	8
2	12	8
3	24	8
4	53	8
5	249	8
6	2470	8
7	6306	8

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations31.0ms (1.6%)

Memory

10.2MiB live, 56.6MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 8 to 6 computations (25% saved)

preprocess20.0ms (1%)

Memory: 8.4MiB live, 54.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 62 to 38 computations (38.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample598.0ms (31.7%)

explain44.0ms (2.3%)

preprocess211.0ms (11.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series12.0ms (0.7%)

rewrite209.0ms (11.1%)

eval13.0ms (0.7%)

prune4.0ms (0.2%)

series7.0ms (0.4%)

rewrite166.0ms (8.8%)

eval67.0ms (3.5%)

prune37.0ms (2%)

series5.0ms (0.2%)

rewrite220.0ms (11.7%)

eval99.0ms (5.3%)

prune29.0ms (1.5%)

regimes15.0ms (0.8%)

regimes16.0ms (0.9%)

simplify83.0ms (4.4%)

derivations31.0ms (1.6%)

preprocess20.0ms (1%)

end0.0ms (0%)

Profiling