Metrics for Logistic regression 2

start0.0ms (0%)

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

analyze78.0ms (1.5%)

Memory

-3.1MiB live, 87.9MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.1s (59.2%)

Memory

-134.5MiB live, 3 224.9MiB allocated; 1.5s collecting garbage

Samples

1.7s	2 671×	5	exit
504.0ms	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-log1p: 845.0ms (49% of total)

adjust: 459.0ms (26.6% of total)

ival-sub: 146.0ms (8.5% of total)

ival-exp: 142.0ms (8.2% of total)

ival-mult: 128.0ms (7.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain99.0ms (1.9%)

Memory

-7.8MiB live, 135.8MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	81	(-4.628081108750892e+289 -4.3791382307129124e-234)	-	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`
0	0	-	-	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	sensitivity	81	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	1	0
↳	`(exp.f64 x)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	81	174

Precision

0.012195121951219513

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	81	0	174

Precision?

0.012195121951219513

Recall?

1.0

Freqs

test

number	freq
0	174
1	82

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log1p: 5.0ms (27.1% of total)

ival-exp: 4.0ms (21.7% of total)

ival-mult: 4.0ms (21.7% of total)

ival-add: 3.0ms (16.3% of total)

ival-sub: 2.0ms (10.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess272.0ms (5.2%)

Memory

33.4MiB live, 256.2MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	54	58
2	130	58
3	294	58
4	1178	58
5	5705	58
0	8	9
0	13	9
1	23	9
2	46	9
3	97	9
4	316	9
5	2915	9
0	8106	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Outputs

(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

(fma.f64 (neg.f64 y) x (log1p.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 9 to 8 computations (11.1% saved)

series63.0ms (1.2%)

Memory

9.2MiB live, 93.9MiB allocated; 12ms collecting garbage

Counts

8 → 29

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
26.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
3.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite163.0ms (3.1%)

Memory

6.3MiB live, 143.7MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	433
0	108	424
1	562	422
0	4885	350

Stop Event

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

Counts

37 → 90

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) (-.f64 (.f64 #s(literal -1 binary64) (*.f64 y x)) (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (fma.f64 (.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))) (neg.f64 (fma.f64 (.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))))) (fma.f64 (.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))) (neg.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 y x) (log1p.f64 (exp.f64 x)))))))
(/.f64 (.f64 (fma.f64 (.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (fma.f64 (.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))) (fma.f64 (.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x))))
(/.f64 (.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))))) (fma.f64 (.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 y x)) (.f64 #s(literal -1 binary64) x)) y (-.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y x)))))
(/.f64 (.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))))) (fma.f64 (.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))))))
(fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
(fma.f64 y (*.f64 #s(literal -1 binary64) x) (log1p.f64 (exp.f64 x)))
(fma.f64 x (*.f64 #s(literal -1 binary64) y) (log1p.f64 (exp.f64 x)))
(-.f64 (/.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
(-.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 y x) (log1p.f64 (exp.f64 x)))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) (.f64 y x)))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(.f64 #s(literal 1 binary64) (.f64 y x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 y x)))
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(literal -1 binary64) (.f64 y x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (.f64 (.f64 #s(literal -1 binary64) y) y))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (.f64 (.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) x))
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x)))
#s(approx (+ 1 (exp x)) (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (.f64 (.f64 #s(literal -1 binary64) x) x))) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (.f64 (.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) y)))

eval11.0ms (0.2%)

Memory: 20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 742 to 344 computations (80.3% saved)

prune16.0ms (0.3%)

Memory

-25.5MiB live, 19.8MiB allocated; 6ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	2	93

Accuracy

99.7%

Counts

93 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))
▶	85.9%	(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 x y))

Status

Accuracy

Program

▶

99.6%

(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))

▶

85.9%

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

Compiler

Compiled 25 to 22 computations (12% saved)

series127.0ms (2.4%)

Memory

-16.2MiB live, 94.5MiB allocated; 99ms collecting garbage

Counts

16 → 42

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log 2)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* -1 y))))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x)))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (* -1 y) #s(hole binary64 (* -1 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
103.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (* -1 y) -1 (log (+ 1 (exp x))) (exp x))
8.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (* -1 y) -1 (log (+ 1 (exp x))) (exp x))
8.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (* -1 y) -1 (log (+ 1 (exp x))) (exp x))
3.0ms	x	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (* -1 y) -1 (log (+ 1 (exp x))) (exp x))
2.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (* x y) y (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (* -1 y) -1 (log (+ 1 (exp x))) (exp x))

rewrite187.0ms (3.6%)

Memory

-1.2MiB live, 184.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	664
0	158	615
1	858	606
0	7497	574

Stop Event

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

Counts

58 → 150

Calls

Call 1

Inputs
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 x y))
#s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
y
(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log 2)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* -1 y))))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x)))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (* -1 y) #s(hole binary64 (* -1 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))

Outputs
(/.f64 (fma.f64 (.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))) #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (neg.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))) (neg.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) #s(literal 2 binary64)) (.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1 binary64) y) x)))))
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(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))) (-.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) (log1p.f64 (exp.f64 x))))
(/.f64 (.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) x) (.f64 #s(literal -1 binary64) y) (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))))) (fma.f64 (.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) x) (.f64 #s(literal -1 binary64) y) (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))))))
(/.f64 (.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) x) (.f64 #s(literal -1 binary64) y) (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))))) (fma.f64 (.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) (.f64 #s(literal -1 binary64) x)) y (.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x))))))
(fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log1p.f64 (exp.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x)))
(fma.f64 y (*.f64 #s(literal -1 binary64) x) (log1p.f64 (exp.f64 x)))
(fma.f64 x (*.f64 #s(literal -1 binary64) y) (log1p.f64 (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 (*.f64 #s(literal -1 binary64) y) x) (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) x) (.f64 #s(literal -1 binary64) y) (.f64 (.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) x) (.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))
(-.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 (*.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)))
(-.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) (.f64 #s(literal -1 binary64) x)) y (.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) (.f64 #s(literal -1 binary64) x)) y (.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (.f64 y x) #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) x) (.f64 #s(literal -1 binary64) y) (.f64 (.f64 y x) (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) x) (.f64 #s(literal -1 binary64) y) (.f64 (.f64 y x) (log1p.f64 (exp.f64 x)))))))
(+.f64 (.f64 (.f64 #s(literal -1 binary64) y) x) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 #s(literal -1 binary64) y) x))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(literal -1 binary64)
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (+ 1 (exp x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (.f64 (.f64 #s(literal -1 binary64) y) x))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (/.f64 (.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (.f64 (.f64 #s(literal -1 binary64) y) y)) x) (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)))))
#s(approx (log (+ 1 (exp x))) (log1p.f64 (exp.f64 x)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (.f64 (.f64 #s(literal -1 binary64) y) x))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (/.f64 (.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (.f64 (.f64 #s(literal -1 binary64) y) y)) x) (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)))))
#s(approx (exp x) (exp.f64 x))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) y))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) (.f64 (.f64 (-.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) y))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (log1p.f64 (exp.f64 x)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))
#s(approx y y)
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (log1p.f64 (exp.f64 x)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))
#s(approx (* -1 y) (*.f64 #s(literal -1 binary64) y))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (/.f64 (.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (.f64 (.f64 #s(literal -1 binary64) x) x)) y) (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (/.f64 (.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (.f64 (.f64 #s(literal -1 binary64) x) x)) y) (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)))))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) y)))
#s(approx (+ (* (* -1 y) x) (log (+ 1 (exp x)))) (.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal -1 binary64) y)))

eval19.0ms (0.4%)

Memory: 32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 855 to 481 computations (87.5% saved)

prune24.0ms (0.5%)

Memory

-13.4MiB live, 31.8MiB allocated; 7ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	146	2	148

Accuracy

99.7%

Counts

148 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))
▶	73.2%	(-.f64 #s(approx (log (+ 1 (exp x))) (-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))))) (*.f64 x y))

Status

Accuracy

Program

✓

99.6%

(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))

▶

73.2%

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

Compiler

Compiled 66 to 31 computations (53% saved)

series40.0ms (0.8%)

Memory

20.0MiB live, 65.5MiB allocated; 6ms collecting garbage

Counts

20 → 67

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (log 2)))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (log 2)))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/4 (/ x (log 2))))))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ (* 1/8 (/ x (pow (log 2) 2))) (* 1/4 (/ 1 (log 2))))))))))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) #s(hole binary64 (log 2)))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) #s(hole binary64 (+ (log 2) (* -1/2 x))))
#s(approx (- (pow (log 2) 2) (* 1/4 (* x x))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (- (pow (log 2) 2) (* 1/4 (* x x))) #s(hole binary64 (+ (* -1/4 (pow x 2)) (pow (log 2) 2))))
#s(approx (* 1/4 (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* 1/4 (/ (pow x 2) (log 2)))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (/ x (pow (log 2) 2))) (* 1/4 (/ 1 (log 2)))))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* x (+ (* 1/16 (/ x (pow (log 2) 3))) (* 1/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ 1 (log 2)))))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* x (+ (* x (+ (* 1/32 (/ x (pow (log 2) 4))) (* 1/16 (/ 1 (pow (log 2) 3))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ 1 (log 2)))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x)))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* x (- (+ 1/2 (* -1 (/ (+ (* -8 (pow (log 2) 4)) (* 8 (pow (log 2) 4))) (pow x 4)))) (* -1 (/ (log 2) x))))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* x (- (+ 1/2 (* -1 (/ (+ (* -16 (pow (log 2) 5)) (* 16 (pow (log 2) 5))) (pow x 5)))) (+ (* -8 (/ (pow (log 2) 4) (pow x 4))) (+ (* -1 (/ (log 2) x)) (* 8 (/ (pow (log 2) 4) (pow x 4)))))))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -2 (/ (pow (log 2) 2) x))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (/ (+ (* -4 (/ (pow (log 2) 3) x)) (* -2 (pow (log 2) 2))) x)))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (/ (+ (* -8 (/ (pow (log 2) 4) (pow x 2))) (+ (* -4 (/ (pow (log 2) 3) x)) (* -2 (pow (log 2) 2)))) x)))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (/ (- (+ (* -16 (/ (pow (log 2) 5) (pow x 3))) (+ (* -4 (/ (pow (log 2) 3) x)) (* -2 (pow (log 2) 2)))) (* 8 (/ (pow (log 2) 4) (pow x 2)))) x)))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) #s(hole binary64 (* x (- (/ (log 2) x) 1/2))))
#s(approx (- (pow (log 2) 2) (* 1/4 (* x x))) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (- (pow (log 2) 2) (* 1/4 (* x x))) #s(hole binary64 (* (pow x 2) (- (/ (pow (log 2) 2) (pow x 2)) 1/4))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x)))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* x (- (* -1 (/ (log 2) x)) 1/2))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* x (- (+ (* -2 (/ (pow (log 2) 2) (pow x 2))) (* -1 (/ (log 2) x))) 1/2))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* x (- (+ (* -4 (/ (pow (log 2) 3) (pow x 3))) (+ (* -2 (/ (pow (log 2) 2) (pow x 2))) (* -1 (/ (log 2) x)))) 1/2))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -8 (/ (pow (log 2) 4) (pow x 3))) (* 8 (/ (pow (log 2) 4) (pow x 3)))) (* -1 (log 2))) x)) 1/2)))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (pow (log 2) 5) x)) (* 16 (/ (pow (log 2) 5) x))) (+ (* -8 (pow (log 2) 4)) (* 8 (pow (log 2) 4)))) (pow x 3))) (* -1 (log 2))) x)) 1/2)))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -1 (/ (+ (* 2 (pow (log 2) 2)) (* 4 (/ (pow (log 2) 3) x))) x))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow (log 2) 4) x)) (* -4 (pow (log 2) 3))) x)) (* 2 (pow (log 2) 2))) x))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow (log 2) 3)) (* -1 (/ (- (* 16 (/ (pow (log 2) 5) x)) (* -8 (pow (log 2) 4))) x))) x)) (* 2 (pow (log 2) 2))) x))))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) #s(hole binary64 (* -1 (* x (+ 1/2 (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -1 (* x (+ 1/2 (/ (log 2) x))))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -1 (* x (+ 1/2 (* -1 (/ (+ (* -2 (/ (pow (log 2) 2) x)) (* -1 (log 2))) x)))))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -1 (* x (+ 1/2 (* -1 (/ (+ (* -1 (log 2)) (* -1 (/ (+ (* 2 (pow (log 2) 2)) (* 4 (/ (pow (log 2) 3) x))) x))) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (pow (log 2) 2) (log 2) 2 (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (* 1/4 (* x x)) 1/4 (* x x) x (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 1 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* x y) y)
10.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (pow (log 2) 2) (log 2) 2 (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (* 1/4 (* x x)) 1/4 (* x x) x (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 1 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* x y) y)
7.0ms	x	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (pow (log 2) 2) (log 2) 2 (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (* 1/4 (* x x)) 1/4 (* x x) x (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 1 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* x y) y)
2.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (pow (log 2) 2) (log 2) 2 (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (* 1/4 (* x x)) 1/4 (* x x) x (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 1 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* x y) y)
2.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (pow (log 2) 2) (log 2) 2 (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (* 1/4 (* x x)) 1/4 (* x x) x (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 1 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* x y) y)

rewrite194.0ms (3.7%)

Memory

-2.3MiB live, 235.3MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2515
0	353	2127
1	1814	2121
0	9092	1917

Stop Event

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

Counts

87 → 220

Calls

Call 1

Inputs
(-.f64 #s(approx (log (+ 1 (exp x))) (-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))))) (*.f64 x y))
#s(approx (log (+ 1 (exp x))) (-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))))))
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#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
#s(literal 1/4 binary64)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 x y)
y
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#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (log 2)))
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#s(approx (* 1/4 (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (log 2)))
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#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
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#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (/ x (pow (log 2) 2))) (* 1/4 (/ 1 (log 2)))))))
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#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* x (+ (* x (+ (* 1/32 (/ x (pow (log 2) 4))) (* 1/16 (/ 1 (pow (log 2) 3))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ 1 (log 2)))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
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#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
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#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* x (+ 1/2 (/ (log 2) x)))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* x (- (+ 1/2 (* -1 (/ (+ (* -8 (pow (log 2) 4)) (* 8 (pow (log 2) 4))) (pow x 4)))) (* -1 (/ (log 2) x))))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (* x (- (+ 1/2 (* -1 (/ (+ (* -16 (pow (log 2) 5)) (* 16 (pow (log 2) 5))) (pow x 5)))) (+ (* -8 (/ (pow (log 2) 4) (pow x 4))) (+ (* -1 (/ (log 2) x)) (* 8 (/ (pow (log 2) 4) (pow x 4)))))))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -2 (/ (pow (log 2) 2) x))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (/ (+ (* -4 (/ (pow (log 2) 3) x)) (* -2 (pow (log 2) 2))) x)))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (/ (+ (* -8 (/ (pow (log 2) 4) (pow x 2))) (+ (* -4 (/ (pow (log 2) 3) x)) (* -2 (pow (log 2) 2)))) x)))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (/ (- (+ (* -16 (/ (pow (log 2) 5) (pow x 3))) (+ (* -4 (/ (pow (log 2) 3) x)) (* -2 (pow (log 2) 2)))) (* 8 (/ (pow (log 2) 4) (pow x 2)))) x)))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) #s(hole binary64 (* -1/2 x)))
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#s(approx (- (pow (log 2) 2) (* 1/4 (* x x))) #s(hole binary64 (* -1/4 (pow x 2))))
#s(approx (- (pow (log 2) 2) (* 1/4 (* x x))) #s(hole binary64 (* (pow x 2) (- (/ (pow (log 2) 2) (pow x 2)) 1/4))))
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#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* x (- (* -1 (/ (log 2) x)) 1/2))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* x (- (+ (* -2 (/ (pow (log 2) 2) (pow x 2))) (* -1 (/ (log 2) x))) 1/2))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* x (- (+ (* -4 (/ (pow (log 2) 3) (pow x 3))) (+ (* -2 (/ (pow (log 2) 2) (pow x 2))) (* -1 (/ (log 2) x)))) 1/2))))
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#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
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Outputs
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#s(approx (+ (* (* 1/2 x) 1) (log 2)) (.f64 (.f64 (-.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (.f64 (.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) x) #s(literal 4 binary64) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) x) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) y)) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) x))))

eval64.0ms (1.2%)

Memory: 14.4MiB live, 104.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 28 803 to 2 088 computations (92.8% saved)

prune66.0ms (1.3%)

Memory

-7.7MiB live, 96.2MiB allocated; 25ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	415	2	417
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	416	3	419

Accuracy

99.8%

Counts

419 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))
▶	72.5%	(-.f64 #s(approx (log (+ 1 (exp x))) (-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (.f64 (.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))))) (.f64 x y))
▶	73.3%	(-.f64 #s(approx (log (+ 1 (exp x))) (-.f64 #s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))))) (*.f64 x y))

Status

Accuracy

Program

✓

99.6%

(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))

▶

72.5%

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

▶

73.3%

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

Compiler

Compiled 156 to 78 computations (50% saved)

series55.0ms (1%)

Memory

-5.5MiB live, 85.2MiB allocated; 15ms collecting garbage

Counts

34 → 111

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (log 2)))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (log 2)))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/4 (/ x (log 2))))))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ (* 1/8 (/ x (pow (log 2) 2))) (* 1/4 (/ 1 (log 2))))))))))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (log 2)))
#s(approx (+ (* (* 1/2 x) 1) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* 1/4 (/ (pow x 2) (log 2)))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (/ x (pow (log 2) 2))) (* 1/4 (/ 1 (log 2)))))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* x (+ (* 1/16 (/ x (pow (log 2) 3))) (* 1/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ 1 (log 2)))))))
#s(approx (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* x (+ (* x (+ (* 1/32 (/ x (pow (log 2) 4))) (* 1/16 (/ 1 (pow (log 2) 3))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ 1 (log 2)))))))
#s(approx (* 1/4 (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) #s(hole binary64 (log 2)))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) #s(hole binary64 (+ (log 2) (* -1/2 x))))
#s(approx (- (pow (log 2) 2) (* 1/4 (* x x))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (- (pow (log 2) 2) (* 1/4 (* x x))) #s(hole binary64 (+ (* -1/4 (pow x 2)) (pow (log 2) 2))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (log 2)))
#s(approx (- (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (log 2)))
#s(approx (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/4 (/ x (log 2))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* 1/4 (* x x)) 1/4 (* x x) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (pow (log 2) 2) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2))) (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x)) (* (* 1/4 x) x) (* 1/4 x) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x)) (* -1 (log 2)) -1)
14.0ms	x	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* 1/4 (* x x)) 1/4 (* x x) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (pow (log 2) 2) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2))) (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x)) (* (* 1/4 x) x) (* 1/4 x) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x)) (* -1 (log 2)) -1)
13.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* 1/4 (* x x)) 1/4 (* x x) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (pow (log 2) 2) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2))) (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x)) (* (* 1/4 x) x) (* 1/4 x) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x)) (* -1 (log 2)) -1)
2.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* 1/4 (* x x)) 1/4 (* x x) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (pow (log 2) 2) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2))) (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x)) (* (* 1/4 x) x) (* 1/4 x) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x)) (* -1 (log 2)) -1)
2.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (+ (* (* 1/2 x) 1) (log 2)) (* 1/2 x) 1/2 x 1 (log 2) 2 (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (* 1/4 (* x x)) 1/4 (* x x) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (- (pow (log 2) 2) (* 1/4 (* x x))) (pow (log 2) 2) (* x y) y (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (- (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (/ (pow (log 2) 2) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (+ (* (* 1/2 x) 1) (log 2))) (/ (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x))) (- (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x))) (pow (pow (log 2) 2) 2) (* (* (* 1/4 x) x) (* (* 1/4 x) x)) (* (* 1/4 x) x) (* 1/4 x) (+ (* (* -1 (log 2)) (* -1 (log 2))) (* (* 1/4 x) x)) (* -1 (log 2)) -1)

rewrite182.0ms (3.5%)

Memory

5.9MiB live, 193.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	5570
0	564	4184
1	2892	3857
0	8222	3520

Stop Event

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

Counts

145 → 406

Calls

Call 1

Inputs
(-.f64 #s(approx (log (+ 1 (exp x))) (-.f64 #s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))))) (*.f64 x y))
#s(approx (log (+ 1 (exp x))) (-.f64 #s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))))))
(-.f64 #s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
#s(literal 1/4 binary64)
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(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 x y)
y
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(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) x) (.f64 (.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))))
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(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
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(*.f64 #s(literal 1/4 binary64) x)
(fma.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) x) x))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
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#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log 2)))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (log 2)))
#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) #s(hole binary64 (log 2)))
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Outputs
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#s(approx (- (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (/ (* 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))))) (.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 7/2 binary64)) x) #s(literal 0 binary64)) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 6 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) x) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) x) #s(literal 4 binary64) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) x) #s(literal -1 binary64)))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -8 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) x) #s(literal -1 binary64)))
#s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 5/2 binary64)) x) #s(literal 16 binary64) (.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) x) #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) x) #s(literal -1 binary64)))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (.f64 (.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 0 binary64) (log.f64 #s(literal 2 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2))) (.f64 (.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) x) #s(literal -4 binary64) (fma.f64 (.f64 (log.f64 #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 0 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) x) #s(literal 4 binary64)))) (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (*.f64 #s(literal -1 binary64) x) y (log1p.f64 (exp.f64 x))))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) y)) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 #s(literal -1 binary64) y) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) x))))

eval125.0ms (2.4%)

Memory: 4.5MiB live, 191.6MiB allocated; 30ms collecting garbage
Compiler: Compiled 68 031 to 3 969 computations (94.2% saved)

prune101.0ms (2%)

Memory

-20.4MiB live, 121.4MiB allocated; 19ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	803	1	804
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	804	3	807

Accuracy

99.8%

Counts

807 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.6%

(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))

✓

72.5%

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

85.5%

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

Compiler

Compiled 473 to 146 computations (69.1% saved)

regimes8.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))

Calls

3 calls:

3.0ms	x
3.0ms	y
2.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes7.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.6%	1	`x`
99.6%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes10.0ms (0.2%)

Memory

-32.9MiB live, 12.9MiB allocated; 3ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 x y))

Calls

3 calls:

5.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
85.9%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
85.9%	1	`x`
85.9%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Accuracy

Total -8.7b remaining (-93.1%)

Threshold costs -8.7b (-93.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
85.5%	1	`x`
85.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
85.5%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify48.0ms (0.9%)

Memory

1.8MiB live, 48.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	101
1	86	101
2	235	101
3	845	101
4	4370	101

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 #s(literal -1 binary64) y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 #s(approx (log (+ 1 (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (.f64 x y))
(-.f64 #s(approx (log (+ 1 (exp x))) (-.f64 #s(approx (/ (pow (log 2) 2) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(approx (/ ( 1/4 (* x x)) (/ (- (pow (log 2) 2) (* 1/4 (* x x))) (+ (* (* 1/2 x) 1) (log 2)))) (.f64 #s(literal -1/2 binary64) x)))) (.f64 x y))

derivations120.0ms (2.3%)

Memory

-19.2MiB live, 79.4MiB allocated; 26ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 106 to 44 computations (58.5% saved)

preprocess33.0ms (0.6%)

Memory: 26.6MiB live, 70.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 230 to 104 computations (54.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze78.0ms (1.5%)

sample3.1s (59.2%)

explain99.0ms (1.9%)

preprocess272.0ms (5.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series63.0ms (1.2%)

rewrite163.0ms (3.1%)

eval11.0ms (0.2%)

prune16.0ms (0.3%)

series127.0ms (2.4%)

rewrite187.0ms (3.6%)

eval19.0ms (0.4%)

prune24.0ms (0.5%)

series40.0ms (0.8%)

rewrite194.0ms (3.7%)

eval64.0ms (1.2%)

prune66.0ms (1.3%)

series55.0ms (1%)

rewrite182.0ms (3.5%)

eval125.0ms (2.4%)

prune101.0ms (2%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

simplify48.0ms (0.9%)

derivations120.0ms (2.3%)

preprocess33.0ms (0.6%)

end0.0ms (0%)

Profiling