Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze59.0ms (1.2%)

Memory

21.8MiB live, 21.8MiB allocated

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)

sample925.0ms (18.5%)

Memory

315.3MiB live, 315.3MiB allocated

Samples

402.0ms	8 256×	0	valid
182.0ms	2 586×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-log1p: 108.0ms (30% of total)

ival-exp: 81.0ms (22.5% of total)

ival-mult: 74.0ms (20.5% of total)

ival-sub: 44.0ms (12.2% of total)

adjust: 38.0ms (10.6% of total)

ival-true: 9.0ms (2.5% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain125.0ms (2.5%)

Memory

83.5MiB live, 83.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	82	(-4234442623741629.0 2.079585487179913e-136)	-	`(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	83	0

Confusion

	Predicted +	Predicted -
+	1	0
-	82	173

Precision

0.012048192771084338

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	82	0	173

Precision?

0.012048192771084338

Recall?

1.0

Freqs

test

number	freq
0	173
1	83

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 117 to 50 computations (57.3% 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-sub: 2.0ms (10.9% of total)

ival-add: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess25.0ms (0.5%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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 (exp.f64 x)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify9.0ms (0.2%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff	0	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize21.0ms (0.4%)

Memory

9.0MiB live, 9.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.08843902227063309	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

15.0ms

256×

valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 2.0ms (23% of total)

ival-log1p: 2.0ms (23% of total)

ival-mult: 2.0ms (23% of total)

ival-sub: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

4 → 24

Calls

Call 1

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

Outputs
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
18.0ms	x	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
3.0ms	y	@	0	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))

simplify106.0ms (2.1%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	194
1	180	194
2	388	194
3	1351	194
4	3977	184
5	6744	184
0	8075	150

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))

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

rewrite129.0ms (2.6%)

Memory

55.7MiB live, 55.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	13	20
1	47	20
2	311	20
3	2718	20
0	9051	16

Stop Event

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

Counts

4 → 359

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x)))))))
(neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(neg.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 (exp.f64 x))) (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))) (/.f64 (pow.f64 (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))
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(-.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.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 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 x)

eval49.0ms (1%)

Memory: 33.8MiB live, 33.8MiB allocated
Compiler: Compiled 13 221 to 1 466 computations (88.9% saved)

prune16.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	370	9	379
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	371	9	380

Accuracy

100.0%

Counts

380 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
	51.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))))
▶	51.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
	99.9%	(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x y))
	89.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	71.4%	#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))))
	75.5%	#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))))
▶	80.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Compiler

Compiled 390 to 258 computations (33.8% saved)

simplify144.0ms (2.9%)

Memory

41.4MiB live, 41.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 x)
cost-diff	0	(log1p.f64 (exp.f64 x))
cost-diff	0	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))
cost-diff	0	(-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
cost-diff	0	(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))
cost-diff	0	(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)))
cost-diff	0	#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))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(log1p.f64 (exp.f64 x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	283
0	71	283
1	123	283
2	244	283
3	784	283
4	2889	283
5	5576	283
0	8084	283

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (2.4%)

Memory

43.1MiB live, 43.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.66796875	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
accuracy	0.670253759768442	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
accuracy	0.6926637816206538	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))
accuracy	21.78353939723478	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
accuracy	0.0234375	(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))
accuracy	0.02734375	(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)))
accuracy	0.07650375976844201	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	18.268261807738043	#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))))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	12.31430521147769	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	31.792626306849833	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0	(neg.f64 y)
accuracy	0	(exp.f64 x)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy	0.01171875	(log1p.f64 (exp.f64 x))

Samples

88.0ms

256×

valid

Compiler

Compiled 602 to 82 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 17.0ms (26.4% of total)

ival-pow: 13.0ms (20.2% of total)

ival-add: 9.0ms (14% of total)

ival-sub: 5.0ms (7.8% of total)

const: 4.0ms (6.2% of total)

ival-log: 3.0ms (4.7% of total)

ival-log1p: 3.0ms (4.7% of total)

ival-pow2: 3.0ms (4.7% of total)

ival-div: 2.0ms (3.1% of total)

ival-exp: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

exact: 1.0ms (1.6% of total)

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

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

series77.0ms (1.5%)

Memory

35.3MiB live, 35.3MiB allocated

Counts

19 → 98

Calls

Call 1

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

Outputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(pow (log 2) 6)
(+ (* 2 (* x (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (+ (* x (+ (* 2 (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* 2 (* (pow (log 2) 3) (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2)))))) (pow (log 2) 6))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(pow (log 2) 3)
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(pow (log 2) 2)
(+ (* x (log 2)) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2))))))) (pow (log 2) 2))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1 (* (pow x 6) (pow y 6)))
(* (pow x 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow x 6)) (pow y 6)))
(pow (log (+ 1 (exp x))) 6)
(* x y)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(pow (log (+ 1 (exp x))) 3)
(pow (log (+ 1 (exp x))) 2)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (log (+ 1 (exp x)))) x)))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ (* -1 (* (pow x 6) (pow y 6))) (pow (log (+ 1 (exp x))) 6))
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x)))))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* (pow y 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow y 6)) (pow x 6)))
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (log (+ 1 (exp x)))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
15.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
14.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
11.0ms	x	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
8.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (pow (log (+ 1 (exp x))) 6) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))

simplify124.0ms (2.5%)

Memory

37.0MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	457	2289
1	1530	2033
2	5596	1909
0	8171	1697

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 98

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* -1 (* x y))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(pow (log 2) 6)
(+ (* 2 (* x (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (+ (* x (+ (* 2 (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* 2 (* (pow (log 2) 3) (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2)))))) (pow (log 2) 6))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(pow (log 2) 3)
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(pow (log 2) 2)
(+ (* x (log 2)) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2))))))) (pow (log 2) 2))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1 (* (pow x 6) (pow y 6)))
(* (pow x 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow x 6)) (pow y 6)))
(pow (log (+ 1 (exp x))) 6)
(* x y)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(pow (log (+ 1 (exp x))) 3)
(pow (log (+ 1 (exp x))) 2)
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (log (+ 1 (exp x)))) x)))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(+ (* -1 (* (pow x 6) (pow y 6))) (pow (log (+ 1 (exp x))) 6))
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x)))))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* (pow y 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow y 6)) (pow x 6)))
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (log (+ 1 (exp x)))) y)))))

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(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)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(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)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 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)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) 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)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(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))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/192 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(pow (log 2) 6)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))
(+ (* 2 (* x (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))))) (pow (log 2) 6))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2))))) (pow (log 2) 6))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))) x (.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal 2 binary64))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (+ (* x (+ (* 2 (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* 2 (* (pow (log 2) 3) (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2)))))) (pow (log 2) 6))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 3 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))) x (.f64 #s(literal 9/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) x (.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal 2 binary64))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
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(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(*.f64 (-.f64 y (/.f64 (log1p.f64 (exp.f64 x)) x)) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (log (+ 1 (exp x)))) x)))))
(.f64 (-.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 y y)) #s(literal -2 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (log1p.f64 (exp.f64 x)) x)) x)
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(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)))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
(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))
(+ (* -1 (* (pow x 6) (pow y 6))) (pow (log (+ 1 (exp x))) 6))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x)))))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 0 binary64)) y (neg.f64 x)) y (log1p.f64 (exp.f64 x)))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y)) x) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) y) x (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) y)
(* (pow y 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow y 6)) (pow x 6)))
(*.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(.f64 (-.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 x x)) #s(literal -2 binary64) #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) x) (.f64 y y)) (/.f64 (log1p.f64 (exp.f64 x)) y)) (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) x) (.f64 y y)))) y)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) (neg.f64 y))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(.f64 (-.f64 x (/.f64 (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))) y)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) y (neg.f64 y))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (log (+ 1 (exp x)))) y)))))
(.f64 (-.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 x x)) #s(literal -2 binary64) #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (log1p.f64 (exp.f64 x)) y)) y)

rewrite180.0ms (3.6%)

Memory

73.5MiB live, 73.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	177
0	71	145
1	305	145
2	2256	145
0	8980	145

Stop Event

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

Counts

19 → 805

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (+.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))) (/.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 18 binary64)) (.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 12 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64))))) (/.f64 (pow.f64 (.f64 x y) #s(literal 18 binary64)) (.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 12 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))))) (.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) (.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))) (/.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 12 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) (.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 12 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64)))) (.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))) (/.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 12 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64)))) (.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))) (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) #s(literal -1 binary64))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64) (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))

eval123.0ms (2.5%)

Memory: 78.3MiB live, 78.3MiB allocated
Compiler: Compiled 40 256 to 3 154 computations (92.2% saved)

prune31.0ms (0.6%)

Memory

34.6MiB live, 34.6MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	827	10	837
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	834	12	846

Accuracy

100.0%

Counts

846 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	89.6%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	51.3%	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
▶	2.3%	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))
▶	52.8%	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶	75.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	80.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
	32.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	71.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)))
▶	51.7%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 607 to 423 computations (30.3% saved)

simplify166.0ms (3.3%)

Memory

48.0MiB live, 48.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))
cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	250
0	72	249
1	130	249
2	258	249
3	779	249
4	2765	249
5	5516	249
0	8101	233

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (2.2%)

Memory

36.9MiB live, 36.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
accuracy	0.07650375976844201	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	18.268261807738043	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
accuracy	28.415545227242347	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.0234375	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
accuracy	0.02734375	(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy	18.268261807738043	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
accuracy	21.28649236946445	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	30.931439204077137	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
accuracy	0	(*.f64 x y)
accuracy	31.972177941859073	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy	0.01171875	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy	21.256597110425975	#s(approx (exp x) #s(literal 1 binary64))

Samples

81.0ms

256×

valid

Compiler

Compiled 462 to 98 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 15.0ms (24.3% of total)

ival-pow: 13.0ms (21% of total)

ival-add: 8.0ms (12.9% of total)

ival-sub: 5.0ms (8.1% of total)

const: 4.0ms (6.5% of total)

ival-log: 3.0ms (4.9% of total)

ival-log1p: 3.0ms (4.9% of total)

ival-pow2: 3.0ms (4.9% of total)

ival-div: 2.0ms (3.2% of total)

ival-exp: 2.0ms (3.2% of total)

ival-neg: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

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

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

series33.0ms (0.7%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

17 → 73

Calls

Call 1

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

Outputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(* x y)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x)))))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
1/2
(+ 1/2 (* -1 y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (* x y) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))
9.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (* x y) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))
4.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (* x y) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))
4.0ms	y	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (* x y) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))
3.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (* x y) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (- 1/2 y))

simplify122.0ms (2.4%)

Memory

36.3MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	375	1802
1	1227	1614
2	4427	1336
0	8741	1193

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 73

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(* x y)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
1/8
(+ 1/8 (* -1/192 (pow x 2)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(log (+ 1 (exp x)))
(exp x)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x)))))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))
1/2
(+ 1/2 (* -1 y))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))

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

rewrite145.0ms (2.9%)

Memory

48.2MiB live, 48.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	224
0	72	223
1	344	209
2	2632	183
0	9503	175

Stop Event

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

Counts

17 → 213

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))) (.f64 (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) y (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 x (neg.f64 y) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(fma.f64 y (neg.f64 x) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (.f64 x (neg.f64 y)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))))
(-.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x y))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
(+.f64 (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))) (*.f64 x (neg.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))) (log1p.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64))) (log.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (*.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64))) #s(approx (exp x) #s(literal 1 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 x y))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 x y)
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 x y)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
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(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x))) (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(+.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -1/1536 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/192 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -1/1536 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64))) (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/192 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (.f64 (*.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -1/1536 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)))))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (.f64 (*.f64 x x) #s(literal -1/1536 binary64)))))
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -1/1536 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/512 binary64))))
(fma.f64 (*.f64 #s(literal -1/192 binary64) x) x #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 #s(literal -1/192 binary64) x) #s(literal 1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (-.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/192 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36864 binary64)) (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal -1/8 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))

eval41.0ms (0.8%)

Memory: 25.8MiB live, 25.8MiB allocated
Compiler: Compiled 11 931 to 1 167 computations (90.2% saved)

prune15.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	5	5
Picked	0	5	5
Done	0	2	2
Total	269	12	281

Accuracy

100.0%

Counts

281 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	89.6%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
▶	51.3%	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
✓	2.3%	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))
✓	52.8%	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	75.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
▶	80.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
▶	32.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶	71.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)))
✓	51.7%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 477 to 336 computations (29.6% saved)

simplify137.0ms (2.7%)

Memory

37.9MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64))
cost-diff	0	(-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)
cost-diff	0	(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
cost-diff	0	(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
cost-diff	832	(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	496
0	104	494
1	166	494
2	323	494
3	969	494
4	3324	494
5	6595	473
0	8143	461

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (3%)

Memory

53.6MiB live, 53.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.66796875	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
accuracy	0.670253759768442	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
accuracy	0.6793937988422102	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64))
accuracy	21.78353939723478	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
accuracy	0.26953125	(/.f64 (log.f64 #s(literal 2 binary64)) y)
accuracy	1.5486066303310948	(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)
accuracy	1.9002578825748235	(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y)
accuracy	18.268261807738043	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)))
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.0078125	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy	12.31430521147769	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
accuracy	28.415545227242347	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.01953125	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	12.31430521147769	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
accuracy	31.897378244957004	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0078125	(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)
accuracy	0.1171875	(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
accuracy	0.2578125	(/.f64 (log.f64 #s(literal 2 binary64)) x)
accuracy	12.31430521147769	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))

Samples

108.0ms

256×

valid

Compiler

Compiled 938 to 122 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 20.0ms (24.7% of total)

ival-pow: 18.0ms (22.3% of total)

ival-add: 11.0ms (13.6% of total)

ival-sub: 8.0ms (9.9% of total)

ival-div: 7.0ms (8.7% of total)

const: 4.0ms (4.9% of total)

ival-log: 3.0ms (3.7% of total)

ival-log1p: 3.0ms (3.7% of total)

ival-pow2: 3.0ms (3.7% of total)

ival-exp: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series134.0ms (2.7%)

Memory

71.7MiB live, 71.7MiB allocated

Counts

25 → 122

Calls

Call 1

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

Outputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(* x (- 1/2 y))
(/ (log 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))
(/ 1/2 y)
(+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))
(+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(pow (log 2) 6)
(+ (* 2 (* x (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (+ (* x (+ (* 2 (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* 2 (* (pow (log 2) 3) (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2)))))) (pow (log 2) 6))
(pow (log 2) 4)
(+ (* 2 (* x (pow (log 2) 3))) (pow (log 2) 4))
(+ (* x (+ (* 2 (pow (log 2) 3)) (* x (+ (* 2 (* (pow (log 2) 2) (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))))) (pow (log 2) 4))
(+ (* x (+ (* 2 (pow (log 2) 3)) (* x (+ (* 2 (* (pow (log 2) 2) (+ 1/4 (* 1/4 (log 2))))) (+ (* x (+ (* 1/4 (pow (log 2) 2)) (* 2 (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))))) (pow (log 2) 4))
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))
(+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))
(pow (log 2) 3)
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(pow (log 2) 2)
(+ (* x (log 2)) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2))))))) (pow (log 2) 2))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(- 1/2 y)
(- (+ 1/2 (/ (log 2) x)) y)
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (/ (pow x 4) y))
(* (pow x 4) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* -1/192 (/ (pow x 3) y))
(* (pow x 3) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 3) (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (* 1/192 (/ 1 y))))
(* x y)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* -1 (* (pow x 6) (pow y 6)))
(* (pow x 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow x 6)) (pow y 6)))
(pow (log (+ 1 (exp x))) 6)
(pow (log (+ 1 (exp x))) 4)
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3))) 1/192))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (+ (/ (log 2) (pow x 4)) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3)))) 1/192))
(pow (log (+ 1 (exp x))) 3)
(pow (log (+ 1 (exp x))) 2)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (- 1 (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (* -1 (/ (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* -1 (* (pow x 3) (- (* 1/192 (/ 1 y)) (* 1/8 (/ 1 (* (pow x 2) y))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/8 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) (pow x 2))) (* 1/192 (/ 1 y)))))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (log (+ 1 (exp x)))) x)))))
(* (pow x 4) (- (+ (* -1 (/ (* y (- 1 (* 1/2 (/ 1 y)))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y))))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* x (+ 1/2 (/ (log 2) x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ 1/2 (/ (log 2) x))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)
(/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x)))))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (* -1 (* (pow x 6) (pow y 6))) (pow (log (+ 1 (exp x))) 6))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* -1 x)
(- (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)) x)
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* (pow y 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow y 6)) (pow x 6)))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(- (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)) x)
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ x (+ (* -1 (/ (log 2) y)) (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))))

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (/ (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (log (+ 1 (exp x))) 4) (/ (log 2) x) (* (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) y) (/ (log 2) y) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
28.0ms	x	@	inf	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (/ (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (log (+ 1 (exp x))) 4) (/ (log 2) x) (* (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) y) (/ (log 2) y) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
23.0ms	x	@	-inf	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (/ (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (log (+ 1 (exp x))) 4) (/ (log 2) x) (* (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) y) (/ (log 2) y) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
19.0ms	y	@	0	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (/ (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (log (+ 1 (exp x))) 4) (/ (log 2) x) (* (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) y) (/ (log 2) y) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
16.0ms	y	@	-inf	((* (- (+ (/ (log 2) x) 1/2) y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- (+ (/ (log 2) x) 1/2) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) (/ (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (- (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (* y x) 6)) (pow (pow (log (+ 1 (exp x))) 4) 3/2) (pow (log (+ 1 (exp x))) 4) (/ (log 2) x) (* (+ (* (/ (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2) y) x) (- (/ (log 2) y) x)) y) (/ (log 2) y) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))

simplify134.0ms (2.7%)

Memory

39.2MiB live, 39.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	573	2846
1	1883	2569
2	6771	2439
0	8267	2211

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 122

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(* x (- 1/2 y))
(/ (log 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))
(/ 1/2 y)
(+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))
(+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(+ (log 2) (* x (- (+ (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (* x (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (+ (* x (- (+ (* 2 (/ (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 5))) (+ (* 2 (/ (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))) (/ (pow y 3) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (* 1/4 (/ 1 (log 2))) (+ (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 4)) (+ (/ (* (+ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (+ (* (pow (log 2) 2) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (* (pow (log 2) 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (+ (* 2 (/ (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5))) (+ 5/8 (+ (/ 1 (log 2)) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5)))))))) (pow (log 2) 5))))))))))) (/ (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2) (pow (log 2) 5)))) (+ 5/8 (+ (* 2 (* 1/2 (/ 1 (log 2)))) (+ (/ (* y (+ 1/2 y)) (log 2)) (+ (/ (* (+ (log 2) (* y (log 2))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 4)) (/ (* (+ (* (pow (log 2) 2) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (* (pow (log 2) 3) (+ (log 2) (* y (log 2))))) (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))) (pow (log 2) 5))))))))) (+ 5/2 y))))
(pow (log 2) 6)
(+ (* 2 (* x (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2))))) (pow (log 2) 6))
(+ (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* x (+ (* 2 (* (pow (log 2) 3) (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (+ (* x (+ (* 2 (* (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)))) (* 2 (* (pow (log 2) 3) (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))))))) (pow (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) 2)))))) (pow (log 2) 6))
(pow (log 2) 4)
(+ (* 2 (* x (pow (log 2) 3))) (pow (log 2) 4))
(+ (* x (+ (* 2 (pow (log 2) 3)) (* x (+ (* 2 (* (pow (log 2) 2) (+ 1/4 (* 1/4 (log 2))))) (pow (log 2) 2))))) (pow (log 2) 4))
(+ (* x (+ (* 2 (pow (log 2) 3)) (* x (+ (* 2 (* (pow (log 2) 2) (+ 1/4 (* 1/4 (log 2))))) (+ (* x (+ (* 1/4 (pow (log 2) 2)) (* 2 (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))))) (pow (log 2) 4))
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(+ (log 2) (* x (+ (* 1/8 x) (* y (- (* 1/2 (/ 1 y)) 1)))))
(+ (log 2) (* x (+ (* x (+ 1/8 (* -1/192 (pow x 2)))) (* y (- (* 1/2 (/ 1 y)) 1)))))
(pow (log 2) 3)
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(pow (log 2) 2)
(+ (* x (log 2)) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* x (+ (log 2) (* x (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2))))))) (pow (log 2) 2))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(- 1/2 y)
(- (+ 1/2 (/ (log 2) x)) y)
(* -1/192 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))
(* -1/192 (/ (pow x 4) y))
(* (pow x 4) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (+ (* 1/2 (/ 1 (* (pow x 3) y))) (/ (log 2) (* (pow x 4) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(* -1/192 (/ (pow x 3) y))
(* (pow x 3) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 3) (- (+ (/ 1/8 (* (pow x 2) y)) (/ 1/2 (* (pow x 3) y))) (* 1/192 (/ 1 y))))
(* x y)
(* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y)) (pow x 2)))) (/ (log (+ 1 (exp x))) x)))
(* x (- (+ y (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) y))) (pow x 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))
(* -1 (* (pow x 6) (pow y 6)))
(* (pow x 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow x 6)) (pow y 6)))
(pow (log (+ 1 (exp x))) 6)
(pow (log (+ 1 (exp x))) 4)
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3))) 1/192))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (+ (/ (log 2) (pow x 4)) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3)))) 1/192))
(pow (log (+ 1 (exp x))) 3)
(pow (log (+ 1 (exp x))) 2)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (- 1 (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* (pow x 4) (- (+ (* -1 (/ (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(* -1 (* (pow x 3) (- (* 1/192 (/ 1 y)) (* 1/8 (/ 1 (* (pow x 2) y))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/8 (/ 1 y)) (* 1/2 (/ 1 (* x y)))) (pow x 2))) (* 1/192 (/ 1 y)))))
(* -1 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (log (+ 1 (exp x)))) x)))))
(* (pow x 4) (- (+ (* -1 (/ (* y (- 1 (* 1/2 (/ 1 y)))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y))))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(* x (+ 1/2 (/ (log 2) x)))
(+ (* -1 (* x y)) (* x (+ 1/2 (/ (log 2) x))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(+ 1/2 (/ (log 2) x))
(+ 1/2 (+ (* -1 y) (/ (log 2) x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)
(/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)
(+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x)))))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))
(+ (* -1 (* (pow x 6) (pow y 6))) (pow (log (+ 1 (exp x))) 6))
(* y (+ (* -1 x) (/ (* x (+ 1/2 (/ (log 2) x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 y)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))
(* -1 x)
(- (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)) x)
(* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x)) (pow y 2)))) (/ (log (+ 1 (exp x))) y)))
(* y (- (+ x (* -1 (/ (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) x))) (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))
(* (pow y 6) (- (/ (pow (log (+ 1 (exp x))) 6) (pow y 6)) (pow x 6)))
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (/ (log 2) x))) y)))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (/ (log 2) x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))
(- (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)) x)
(* -1 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (log (+ 1 (exp x)))) y)))))
(* -1 (* y (+ x (+ (* -1 (/ (log 2) y)) (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))))

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (log.f64 #s(literal 2 binary64)))
(/ (log 2) x)
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (log 2) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+ (* x (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) (/ (log 2) y))
(fma.f64 (fma.f64 (/.f64 x y) #s(literal 1/8 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y))))) 1)) (/ (log 2) y))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) y)) x (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y)))
(fma.f64 (/.f64 x y) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) y))
(+ (* x (+ (* -1/192 (/ (pow x 2) y)) (* 1/8 (/ 1 y)))) (* 1/2 (/ 1 y)))
(fma.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) y)) x (/.f64 #s(literal 1/2 binary64) y))
(+ (log 2) (* x (- (* 2 (/ (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (pow (log 2) 2))) (+ 5/2 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
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(*.f64 (-.f64 x (/.f64 (log1p.f64 (exp.f64 x)) y)) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (log (+ 1 (exp x)))) y)))))
(.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (/.f64 (.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (*.f64 x x))) y)) y) x) y)
(* -1 (* y (+ x (+ (* -1 (/ (log 2) y)) (* -1 (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))))
(.f64 (-.f64 (/.f64 (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))) y) x) y)

rewrite198.0ms (4%)

Memory

70.5MiB live, 70.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	362
0	104	354
1	424	342
2	3331	342
0	10134	336

Stop Event

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

Counts

25 → 578

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y) x)
(*.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y)) x) (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y))) (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x (*.f64 (neg.f64 x) y))
(fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 (neg.f64 x) y))
(fma.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x) (.f64 (neg.f64 x) y))
(+.f64 (.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (.f64 (neg.f64 x) y))
(+.f64 (.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) x)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) y) x))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (.f64 y y)) (pow.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (neg.f64 (neg.f64 x)) (.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) (log.f64 #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x (.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (neg.f64 (/.f64 x (log.f64 #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 (/.f64 x (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (neg.f64 x) (.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 x (log.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 x (log.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x (.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) (log.f64 #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y)) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 x)) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (log.f64 #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (/.f64 x (log.f64 #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (neg.f64 (/.f64 x (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (log.f64 #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (neg.f64 x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (log.f64 #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (/.f64 x (log.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) (log.f64 #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))) x))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y))) x (.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) x))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (neg.f64 (/.f64 x (log.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 x (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (neg.f64 x) (.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 x (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) (/.f64 x (log.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y))) x (.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (+.f64 y #s(literal 1/2 binary64))) x))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) x))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (/.f64 x (log.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 x (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 #s(literal 1/2 binary64)))) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (log.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 x (log.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 y (+.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) x))
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(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 12 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 12 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 12 binary64)))))
(-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))
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(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 5 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 8 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 8 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x))
(*.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (log.f64 #s(literal 2 binary64)))))
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (log.f64 #s(literal 2 binary64))))
(/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (log.f64 #s(literal 2 binary64)) x)
(neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) x))
(neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)
(.f64 y (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) #s(literal 2 binary64))) y) (+.f64 (/.f64 (-.f64 (.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))) y) x))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) #s(literal 3 binary64))) y) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x)) (pow.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 (.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))) y) x))
(/.f64 (.f64 y (+.f64 (pow.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (-.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x)) (pow.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) y (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y))
(fma.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y (.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) y))
(fma.f64 y (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) (*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(fma.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (.f64 y (.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x)))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) y) (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y))
(+.f64 (.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) y) (.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x) y))
(+.f64 (.f64 y (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x)) (.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)))
(+.f64 (.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) (.f64 y (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(*.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 y (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (log.f64 #s(literal 2 binary64)))))
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (log.f64 #s(literal 2 binary64))))
(/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 y)))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) y))
(neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (log.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 3/4 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 8 binary64)) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64) (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))

eval107.0ms (2.2%)

Memory: 69.3MiB live, 69.3MiB allocated
Compiler: Compiled 39 824 to 3 684 computations (90.7% saved)

prune35.0ms (0.7%)

Memory

32.9MiB live, 32.9MiB allocated

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	681	7	688
Fresh	0	0	0
Picked	0	5	5
Done	1	6	7
Total	682	18	700

Accuracy

100.0%

Counts

700 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	51.3%	(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
✓	2.3%	#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))
✓	52.8%	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	75.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
✓	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
✓	50.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	52.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	32.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 x) y))))
	17.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
	19.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
	19.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) x)))
✓	80.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
✓	32.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	51.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (+ (/ (log 2) x) 1/2) y) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) x)))
	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
✓	71.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)))
✓	51.7%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 1 190 to 533 computations (55.2% saved)

regimes27.0ms (0.5%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 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 #s(approx (+ (* (* x x) -1/192) 1/8) #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)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (+ (/ (log 2) x) 1/2) y) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)))
#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) 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))) (* x y)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) y) x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 x y))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 y x) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))))

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Calls

3 calls:

9.0ms	y
8.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes22.0ms (0.4%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

#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))))

Calls

3 calls:

7.0ms	x
7.0ms	y
6.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
89.6%	1	`y`
98.8%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes8.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

#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))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))

Outputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

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

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Calls

2 calls:

4.0ms	x
4.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.3%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
84.1%	2	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes4.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Outputs

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

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

#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
98.0%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes11.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) x) (+.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) x)))

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Calls

3 calls:

4.0ms	x
4.0ms	y
3.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`y`
50.3%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes6.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1b (-1.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (- (pow (log (+ 1 (exp x))) 6) (pow (* y x) 6)) (* (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (*.f64 x y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.4%	1	`y`
3.4%	1	`x`
3.4%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch14.0ms (0.3%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-14.252425591521295	-0.19465549361038254

Samples

7.0ms

112×

valid

Compiler

Compiled 285 to 235 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (22% of total)

ival-exp: 1.0ms (22% of total)

ival-log1p: 1.0ms (22% of total)

ival-mult: 1.0ms (22% of total)

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

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

bsearch6.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-13966.212985652879	-11243.980408308704

Samples

3.0ms

48×

valid

Compiler

Compiled 114 to 98 computations (14% saved)

Precisions

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

ival-exp: 1.0ms (60.1% of total)

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

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

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

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

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

bsearch12.0ms (0.2%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-14.252425591521295	-0.19465549361038254

Samples

6.0ms

96×

valid

Compiler

Compiled 229 to 200 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 1.0ms (26.2% of total)

ival-log1p: 1.0ms (26.2% of total)

ival-mult: 1.0ms (26.2% of total)

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

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

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

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-13966.212985652879	-11243.980408308704

Compiler

Compiled 87 to 80 computations (8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931958478347702	129836.36069231892
0.0ms	0.06939653518324528	0.6005483200835028

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6931958478347702	129836.36069231892
0.0ms	0.06939653518324528	0.6005483200835028

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify31.0ms (0.6%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	328
1	88	328
2	98	328
3	103	328
4	105	328

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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)))))
(if (<=.f64 x #s(literal -11500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -11500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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)))))
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #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)))))
(if (<=.f64 x #s(literal -11500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #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)))))
(if (<=.f64 x #s(literal -11500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #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)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -11500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 y) x)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 x #s(literal -11500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 x (neg.f64 y))) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 x (neg.f64 y))) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 x (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness914.0ms (18.3%)

Memory

7.3MiB live, 7.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	457	2289
1	1530	2033
2	5596	1909
0	8171	1697
0	573	2846
1	1883	2569
2	6771	2439
0	8267	2211
0	67	194
1	180	194
2	388	194
3	1351	194
4	3977	184
5	6744	184
0	8075	150
0	8	20
0	13	20
1	47	20
2	311	20
3	2718	20
0	9051	16

Stop Event

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

Compiler

Compiled 497 to 208 computations (58.1% saved)

preprocess69.0ms (1.4%)

Memory: 36.3MiB live, 36.3MiB allocated
Compiler: Compiled 726 to 194 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22

start0.0ms (0%)

analyze59.0ms (1.2%)

sample925.0ms (18.5%)

explain125.0ms (2.5%)

preprocess25.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

localize21.0ms (0.4%)

series50.0ms (1%)

simplify106.0ms (2.1%)

rewrite129.0ms (2.6%)

eval49.0ms (1%)

prune16.0ms (0.3%)

simplify144.0ms (2.9%)

localize121.0ms (2.4%)

series77.0ms (1.5%)

simplify124.0ms (2.5%)

rewrite180.0ms (3.6%)

eval123.0ms (2.5%)

prune31.0ms (0.6%)

simplify166.0ms (3.3%)

localize107.0ms (2.2%)

series33.0ms (0.7%)

simplify122.0ms (2.4%)

rewrite145.0ms (2.9%)

eval41.0ms (0.8%)

prune15.0ms (0.3%)

simplify137.0ms (2.7%)

localize152.0ms (3%)

series134.0ms (2.7%)

simplify134.0ms (2.7%)

rewrite198.0ms (4%)

eval107.0ms (2.2%)

prune35.0ms (0.7%)

regimes27.0ms (0.5%)

regimes22.0ms (0.4%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch14.0ms (0.3%)

bsearch6.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify31.0ms (0.6%)

soundness914.0ms (18.3%)

preprocess69.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	51
1	58	49
2	113	49
3	227	49
4	311	49
5	429	49
6	483	49
7	515	49
8	518	49
0	8	9
0	13	9
1	22	9
2	33	9
3	45	9
4	60	9
5	84	9
6	123	9
7	160	9
8	205	9
9	231	9
10	255	9
11	264	9
0	264	7

Iter	Nodes	Cost
0	8	26
0	13	26
1	22	26
2	33	26
3	45	26
4	60	26
5	84	26
6	123	26
7	160	26
8	205	26
9	231	26
10	255	26
11	264	26
0	264	22