Metrics for ln(1 + x)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample788.0ms (26.8%)

Memory

61.4MiB live, 549.3MiB allocated; 932ms collecting garbage

Samples

594.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-log1p: 98.0ms (94.8% of total)

ival-assert: 3.0ms (2.9% of total)

adjust: 2.0ms (1.9% of total)

Bogosity

explain52.0ms (1.8%)

Memory

-31.0MiB live, 63.9MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
173	-	1	(-0.014464609567201386)	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	172	1

Confusion

	Predicted +	Predicted -
+	172	1
-	0	83

Precision

1.0

Recall

0.9942196531791907

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	172	1	0
-	0	0	83

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	84
1	172

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 8.0ms (59.3% of total)

ival-log1p: 4.0ms (29.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess250.0ms (8.5%)

Memory

45.3MiB live, 234.4MiB allocated; 49ms 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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

series2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB 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)

rewrite194.0ms (6.6%)

Memory

-12.4MiB live, 78.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	235
1	479	221
0	4605	188

Stop Event

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

Counts

21 → 42

Calls

Call 1

Inputs
(log (+ 1 x))
(+ 1 x)
1
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)))

eval4.0ms (0.1%)

Memory: 5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 455 to 145 computations (68.1% saved)

prune3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	5	42

Accuracy

100.0%

Counts

42 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	67.8%	#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))
▶	68.8%	#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))
▶	67.5%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
▶	68.3%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 100 to 80 computations (20% saved)

series37.0ms (1.3%)

Memory

-47.6MiB live, 15.0MiB allocated; 15ms 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
32.0ms	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

32.0ms

-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)

rewrite181.0ms (6.2%)

Memory

34.4MiB live, 164.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	1531
1	1014	1513
0	8613	1299

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 272

Calls

Call 1

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

eval88.0ms (3%)

Memory: -2.3MiB live, 55.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 6 883 to 1 210 computations (82.4% saved)

prune11.0ms (0.4%)

Memory

-15.8MiB live, 30.6MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	293	5	298

Accuracy

100.0%

Counts

298 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
▶	67.8%	#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))
▶	68.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))
▶	67.5%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	68.3%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 50 to 37 computations (26% saved)

series4.0ms (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)

rewrite982.0ms (33.5%)

Memory

23.7MiB live, 206.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	1048
1	862	1034
2	7997	1034
0	8001	889

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 223

Calls

Call 1

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

eval93.0ms (3.2%)

Memory: -32.2MiB live, 56.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 6 076 to 950 computations (84.4% saved)

prune8.0ms (0.3%)

Memory

25.7MiB live, 25.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	273	5	278

Accuracy

100.0%

Counts

278 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	67.8%	#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))
✓	68.8%	#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x))
✓	67.5%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	68.3%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 146 to 68 computations (53.4% saved)

regimes8.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB 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:

3.0ms	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)

regimes11.0ms (0.4%)

Memory

-45.1MiB live, 14.0MiB allocated; 8ms collecting garbage

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

Calls

3 calls:

7.0ms	x
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
2.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
68.8%	1	`(+.f64 #s(literal 1 binary64) x)`
68.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
68.8%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

4 → 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))

Outputs
#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))

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
68.8%	1	`(+.f64 #s(literal 1 binary64) x)`
68.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
68.8%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Accuracy

Total -1.0b remaining (-5.1%)

Threshold costs -1b (-5.1%)

Counts

3 → 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))

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
68.3%	1	`(+.f64 #s(literal 1 binary64) x)`
68.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
68.3%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

simplify75.0ms (2.6%)

Memory

-24.0MiB live, 70.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	18	36
2	21	36
3	33	36
4	62	36
5	258	36
6	2552	36
7	6475	36

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations71.0ms (2.4%)

Memory

31.9MiB live, 78.8MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 36 to 16 computations (55.6% saved)

preprocess61.0ms (2.1%)

Memory: -16.5MiB live, 37.8MiB allocated; 24ms collecting garbage
Compiler: Compiled 118 to 58 computations (50.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample788.0ms (26.8%)

explain52.0ms (1.8%)

preprocess250.0ms (8.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0.1%)

rewrite194.0ms (6.6%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

series37.0ms (1.3%)

rewrite181.0ms (6.2%)

eval88.0ms (3%)

prune11.0ms (0.4%)

series4.0ms (0.2%)

rewrite982.0ms (33.5%)

eval93.0ms (3.2%)

prune8.0ms (0.3%)

regimes8.0ms (0.3%)

regimes11.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

simplify75.0ms (2.6%)

derivations71.0ms (2.4%)

preprocess61.0ms (2.1%)

end0.0ms (0%)

Profiling