Metrics for Hyperbolic arc-(co)tangent

start0.0ms (0%)

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

analyze13.0ms (0.3%)

Memory

-38.5MiB live, 5.7MiB allocated; 8ms 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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample2.9s (67.7%)

Memory

77.3MiB live, 2 758.5MiB allocated; 365ms collecting garbage

Samples

1.5s	3 244×	2	valid
947.0ms	4 848×	1	valid
12.0ms	164×	0	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-log: 1.2s (55.8% of total)

adjust: 358.0ms (16.8% of total)

ival-div: 204.0ms (9.6% of total)

ival-add: 131.0ms (6.1% of total)

ival-mult: 126.0ms (5.9% of total)

ival-sub: 109.0ms (5.1% of total)

exact: 12.0ms (0.6% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain315.0ms (7.3%)

Memory

-9.8MiB live, 204.6MiB allocated; 69ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
255	-	1	(0.00645589843062687)	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	0	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`	sensitivity	254	1

Confusion

	Predicted +	Predicted -
+	254	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	1	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

127.0ms	302×	1	valid
93.0ms	204×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 94 to 31 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-log: 81.0ms (41.9% of total)

ival-add: 61.0ms (31.6% of total)

adjust: 21.0ms (10.9% of total)

ival-div: 15.0ms (7.8% of total)

ival-mult: 8.0ms (4.1% of total)

ival-sub: 7.0ms (3.6% of total)

ival-true: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

preprocess337.0ms (7.8%)

Memory

-26.7MiB live, 158.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	39	34
2	70	34
3	136	30
4	528	30
5	3876	30
0	9	10
0	16	10
1	24	10
2	29	10
3	47	10
4	130	10
5	779	10
6	7821	10
0	8163	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.9%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 12 to 9 computations (25% saved)

series5.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

9 → 37

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 1))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#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 (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (log -1)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 -1))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

rewrite200.0ms (4.6%)

Memory

1.5MiB live, 97.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	692
0	172	653
1	1024	633
0	8311	581

Stop Event

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

Counts

46 → 96

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(literal 1 binary64) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 1))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#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 (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (log -1)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 -1))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Outputs
(.f64 (-.f64 (log1p.f64 x) (log1p.f64 (.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 #s(literal -1 binary64) x))))
(log.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (.f64 (log1p.f64 (.f64 #s(literal -1 binary64) x)) (log1p.f64 (.f64 #s(literal -1 binary64) x)))) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (log1p.f64 (.f64 #s(literal -1 binary64) x)) (log1p.f64 (.f64 #s(literal -1 binary64) x)) (.f64 (log1p.f64 x) (log1p.f64 (.f64 #s(literal -1 binary64) x))))))
(-.f64 (log.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(-.f64 (log1p.f64 x) (log1p.f64 (*.f64 #s(literal -1 binary64) x)))
(log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x)) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(+.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1 binary64) x) x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal -1 binary64) x) x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(-.f64 x (.f64 (.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))) (/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1 binary64) x) x) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (+.f64 x #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal -1 binary64))))))
(-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) x) x) x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (+ 1 x) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) x))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) (log.f64 #s(literal -1 binary64)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 2/5 binary64) (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) x)))) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (+ 1 x) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ 1 x) (- 1 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) x)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (-.f64 x #s(literal -1 binary64)))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) x))))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/3 binary64)) x) #s(literal -2 binary64)) (.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(approx (- 1 x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64)))

eval12.0ms (0.3%)

Memory: 11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 034 to 456 computations (77.6% saved)

prune9.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	2	100

Accuracy

100.0%

Counts

100 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 #s(literal -1 binary64) x))))
▶	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

Status

Accuracy

Program

▶

100.0%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 #s(literal -1 binary64) x))))

▶

99.7%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

Compiler

Compiled 42 to 29 computations (31% saved)

series11.0ms (0.3%)

Memory

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

Counts

20 → 97

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
#s(literal 2/7 binary64)
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 #s(literal -1 binary64) x))))
(-.f64 (log1p.f64 x) (log1p.f64 (*.f64 #s(literal -1 binary64) x)))
(log1p.f64 x)
(log1p.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (+ 2 (* 2/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 2/5 (pow x 2)))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
#s(approx (+ (* 2/7 (* x x)) 2/5) #s(hole binary64 2/5))
#s(approx (+ (* 2/7 (* x x)) 2/5) #s(hole binary64 (+ 2/5 (* 2/7 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* -1 x)))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* x (- (* x (- (* -1/3 x) 1/2)) 1))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))))
#s(approx (* -1 x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (log -1)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* 2/7 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (* 2/7 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (* 2/7 (pow x 4))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/7 (* x x)) 2/5) #s(hole binary64 (* 2/7 (pow x 2))))
#s(approx (+ (* 2/7 (* x x)) 2/5) #s(hole binary64 (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* -1/2 (log -1))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* -1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* -1 (log -1))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (- (* 2 (/ 1 x)) (log -1))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 x))))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (log -1)))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (- (* -1 (log (/ -1 x))) (/ 1 x))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (/ 1 2) 1 2 (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) 2/7 (* x x) x 2/5 2/3 (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) (log (+ 1 x)) (log (+ 1 (* -1 x))) (* -1 x) -1)
3.0ms	x	@	inf	((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (/ 1 2) 1 2 (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) 2/7 (* x x) x 2/5 2/3 (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) (log (+ 1 x)) (log (+ 1 (* -1 x))) (* -1 x) -1)
3.0ms	x	@	-inf	((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (/ 1 2) 1 2 (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) 2/7 (* x x) x 2/5 2/3 (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) (log (+ 1 x)) (log (+ 1 (* -1 x))) (* -1 x) -1)

Time

Variable

Point

Expression

3.0ms

((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (/ 1 2) 1 2 (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) 2/7 (* x x) x 2/5 2/3 (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) (log (+ 1 x)) (log (+ 1 (* -1 x))) (* -1 x) -1)

3.0ms

inf

((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (/ 1 2) 1 2 (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) 2/7 (* x x) x 2/5 2/3 (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) (log (+ 1 x)) (log (+ 1 (* -1 x))) (* -1 x) -1)

3.0ms

-inf

((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (/ 1 2) 1 2 (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) 2/7 (* x x) x 2/5 2/3 (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) (log (+ 1 x)) (log (+ 1 (* -1 x))) (* -1 x) -1)

rewrite192.0ms (4.4%)

Memory

-29.2MiB live, 106.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2284
0	371	2087
1	2000	2050
0	8898	1993

Stop Event

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

Counts

117 → 207

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
#s(literal 2/7 binary64)
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 #s(literal -1 binary64) x))))
(-.f64 (log1p.f64 x) (log1p.f64 (*.f64 #s(literal -1 binary64) x)))
(log1p.f64 x)
(log1p.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (+ 2 (* 2/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* 2/5 (pow x 2)))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))
#s(approx (+ (* 2/7 (* x x)) 2/5) #s(hole binary64 2/5))
#s(approx (+ (* 2/7 (* x x)) 2/5) #s(hole binary64 (+ 2/5 (* 2/7 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* -1 x)))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* x (- (* x (- (* -1/3 x) 1/2)) 1))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))))
#s(approx (* -1 x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (log -1)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* 2/7 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (* 2/7 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) #s(hole binary64 (* (pow x 6) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (* 2/7 (pow x 4))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/7 (* x x)) 2/5) #s(hole binary64 (* 2/7 (pow x 2))))
#s(approx (+ (* 2/7 (* x x)) 2/5) #s(hole binary64 (* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* -1/2 (log -1))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* -1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (* -1 (log -1))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (- (* 2 (/ 1 x)) (log -1))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 x))))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))))
#s(approx (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (- (log (+ 1 x)) (log (+ 1 (* -1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (log -1)))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (- (log (+ 1 x)) (log (+ 1 (* -1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (- (* -1 (log (/ -1 x))) (/ 1 x))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))))
#s(approx (log (+ 1 (* -1 x))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))))

Outputs
(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x) x)) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x) x)))))
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(fma.f64 x #s(literal 2 binary64) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)))
(fma.f64 #s(literal 2 binary64) x (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x) x))
(fma.f64 #s(literal 2 binary64) x (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x) x))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x) x)))
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(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64))
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#s(approx (log (+ 1 (* -1 x))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 x))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (log (+ 1 (* -1 x))) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 x))) #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64))))
#s(approx (log (+ 1 (* -1 x))) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 x))) #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) #s(literal 1 binary64)) x) #s(literal -1 binary64))))

eval30.0ms (0.7%)

Memory: 30.3MiB live, 30.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 9 519 to 1 230 computations (87.1% saved)

prune141.0ms (3.2%)

Memory

-23.6MiB live, 122.3MiB allocated; 16ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	250	2	252

Accuracy

100.0%

Counts

252 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 #s(literal -1 binary64) x))))
✓	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

Status

Accuracy

Program

✓

100.0%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 #s(literal -1 binary64) x))))

✓

99.7%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

Compiler

Compiled 96 to 59 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

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

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 #s(literal -1 binary64) x))))

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (.f64 #s(literal -1 binary64) x))))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
100.0%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes4.0ms (0.1%)

Memory

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

Accuracy

Total -58.9b remaining (-28698.1%)

Threshold costs -58.9b (-28698.1%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

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

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
99.7%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.7%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

simplify31.0ms (0.7%)

Memory

-23.1MiB live, 23.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	41
1	34	41
2	44	41
3	75	41
4	245	41
5	2280	41

Stop Event

1×	node limit

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 #s(literal -1 binary64) x))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (log1p.f64 x) (log1p.f64 (*.f64 #s(literal -1 binary64) x))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))

derivations49.0ms (1.1%)

Memory

39.6MiB live, 39.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 42 to 25 computations (40.5% saved)

preprocess45.0ms (1%)

Memory: -11.0MiB live, 36.2MiB allocated; 51ms collecting garbage
Compiler: Compiled 108 to 68 computations (37% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze13.0ms (0.3%)

sample2.9s (67.7%)

explain315.0ms (7.3%)

preprocess337.0ms (7.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.1%)

rewrite200.0ms (4.6%)

eval12.0ms (0.3%)

prune9.0ms (0.2%)

series11.0ms (0.3%)

rewrite192.0ms (4.4%)

eval30.0ms (0.7%)

prune141.0ms (3.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify31.0ms (0.7%)

derivations49.0ms (1.1%)

preprocess45.0ms (1%)

end0.0ms (0%)

Profiling