Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze103.0ms (1.4%)

Memory

-23.2MiB live, 51.0MiB 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)

sample1.1s (15.9%)

Memory

56.3MiB live, 1 191.3MiB allocated

Samples

468.0ms	8 256×	0	valid
291.0ms	2 645×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 421.0ms

ival-log1p: 120.0ms (28.5% of total)

ival-mult: 108.0ms (25.7% of total)

ival-exp: 90.0ms (21.4% of total)

ival-sub: 50.0ms (11.9% of total)

adjust: 40.0ms (9.5% of total)

ival-true: 9.0ms (2.1% of total)

ival-assert: 5.0ms (1.2% of total)

Bogosity

explain100.0ms (1.4%)

Memory

-17.0MiB live, 143.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	86	(-4.419044716714334e+268 -1.4465424302960113e+124)	-	`(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	86	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	0
-	86	168

Precision

0.022727272727272728

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	86	0	168

Precision?

0.022727272727272728

Recall?

1.0

Freqs

test

number	freq
0	168
1	88

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 91 to 36 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log1p: 5.0ms (23.7% of total)

ival-mult: 5.0ms (23.7% of total)

ival-exp: 4.0ms (19% of total)

ival-add: 3.0ms (14.2% of total)

ival-sub: 2.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess29.0ms (0.4%)

Memory

-10.6MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	58	49
2	121	49
3	235	49
4	322	49
5	446	49
6	502	49
7	547	49
8	551	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	163	9
8	213	9
9	240	9
10	264	9
11	273	9
0	273	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.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 (0.1%)

Memory

11.1MiB live, 11.1MiB 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	163	26
8	213	26
9	240	26
10	264	26
11	273	26
0	273	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

localize25.0ms (0.4%)

Memory

-8.3MiB live, 30.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(exp.f64 x)
accuracy	0.00390625	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.5037247755750789	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

19.0ms

256×

valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

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

ival-log1p: 3.0ms (31.8% of total)

ival-exp: 2.0ms (21.2% of total)

ival-mult: 2.0ms (21.2% of total)

ival-sub: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series57.0ms (0.8%)

Memory

20.1MiB live, 55.3MiB allocated

Counts

5 → 25

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)
(*.f64 x y)

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))))))
(* x y)
(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
25.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
25.0ms	x	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
3.0ms	y	@	0	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
1.0ms	y	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
1.0ms	y	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))

simplify135.0ms (1.9%)

Memory

-19.3MiB live, 100.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	197
1	180	197
2	399	197
3	1386	197
4	4230	187
5	7018	187
0	8031	153

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

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))))))
(* x y)
(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))
(* x y)
(*.f64 y x)
(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)))

rewrite213.0ms (3%)

Memory

-0.8MiB live, 281.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	13	23
1	47	23
2	311	23
3	2719	23
0	9082	19

Stop Event

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

Counts

5 → 368

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)
(*.f64 x y)

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

eval47.0ms (0.7%)

Memory: 19.2MiB live, 95.8MiB allocated
Compiler: Compiled 13 339 to 1 491 computations (88.8% saved)

prune10.0ms (0.1%)

Memory

-12.2MiB live, 27.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	380	9	389
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	9	390

Accuracy

99.7%

Counts

390 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
▶	59.5%	(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x)))) (.f64 x y))
	35.5%	(-.f64 (-.f64 (log.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (expm1.f64 x))) (.f64 x y))
▶	65.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
▶	90.2%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	71.8%	#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 (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
	74.6%	#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))))
	81.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))

Compiler

Compiled 316 to 242 computations (23.4% saved)

simplify288.0ms (4%)

Memory

16.4MiB live, 137.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
cost-diff	0	(log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
cost-diff	0	(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x))))
cost-diff	128	(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x)))) (.f64 x y))
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	(-.f64 x #s(literal -2 binary64))
cost-diff	0	#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
cost-diff	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
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	(*.f64 x y)
cost-diff	0	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff	0	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff	0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	221
0	67	221
1	115	221
2	196	221
3	438	221
4	971	221
5	2422	221
6	4740	221
7	5619	221
8	6043	221
9	6509	221
10	6672	221
11	6755	221
12	6887	221
13	6887	221
14	6911	221
15	6911	221
16	6911	221
17	7358	221
0	8066	216

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 x y)
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))))
(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 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x)))) (.f64 x y))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 (neg.f64 (expm1.f64 x)))
(neg.f64 (expm1.f64 x))
(expm1.f64 x)
(*.f64 x y)
y

Outputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))))
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 x y)
(*.f64 y x)
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))))
#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 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x)))) (.f64 x y))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 y x (log.f64 (neg.f64 (expm1.f64 x)))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 (neg.f64 (expm1.f64 x)))
(neg.f64 (expm1.f64 x))
(expm1.f64 x)
(*.f64 x y)
(*.f64 y x)
y

localize247.0ms (3.5%)

Memory

-11.6MiB live, 154.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 (neg.f64 (expm1.f64 x)))
accuracy	0.0	(expm1.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(expm1.f64 x)
accuracy	1.496428974043816	(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x))))
accuracy	0.01171875	(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	0.01953125	(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	0.26294218177922724	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	17.7624758907045	#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	0.0	(-.f64 x #s(literal -2 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
accuracy	21.692136588740606	#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
accuracy	0.0	(*.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	12.518903328880722	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0.0	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy	18.140723904219396	#s(approx (+ 1 (exp x)) #s(literal 2 binary64))

Samples

132.0ms	86×	1	valid
24.0ms	99×	0	invalid
18.0ms	71×	0	valid

Compiler

Compiled 431 to 76 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-sub: 71.0ms (46.8% of total)

ival-log: 30.0ms (19.8% of total)

ival-mult: 14.0ms (9.2% of total)

ival-add: 11.0ms (7.3% of total)

adjust: 6.0ms (4% of total)

const: 5.0ms (3.3% of total)

ival-neg: 4.0ms (2.6% of total)

ival-expm1: 4.0ms (2.6% of total)

ival-log1p: 3.0ms (2% of total)

ival-exp: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series183.0ms (2.6%)

Memory

-2.2MiB live, 114.1MiB allocated

Counts

22 → 84

Calls

Call 1

Inputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #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 (-.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x)))) (.f64 x y))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(expm1.f64 x)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(log.f64 (neg.f64 (expm1.f64 x)))

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) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x 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)))
(- (log -2) (log -1))
(- (+ (log -2) (* x (- 1/2 y))) (log -1))
(- (+ (log -2) (* x (- (+ 1/2 (* 1/8 x)) y))) (log -1))
(- (+ (log -2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) (log -1))
(- (+ (log -2) (* 1/2 x)) (log -1))
(- (+ (log -2) (* x (+ 1/2 (* 1/8 x)))) (log -1))
(- (+ (log -2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) (log -1))
(+ (log -2) (log x))
(+ x (+ (log -2) (log x)))
(+ (log -2) (+ (log x) (* x (+ 1 (* 1/6 x)))))
(+ (log -2) (+ (log x) (* x (+ 1 (* x (+ 1/6 (* -1/180 (pow x 2))))))))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -4/3 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2/3 x) 4/3)) 2)) 2))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(+ (log -1) (log x))
(+ (log -1) (+ (log x) (* 1/2 x)))
(+ (log -1) (+ (log x) (* x (+ 1/2 (* 1/24 x)))))
(+ (log -1) (+ (log x) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2))))))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(* x (+ 1 (* 2 (/ 1 x))))
(* -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))
(* x (- (/ (log (- 1 (exp (* 2 x)))) x) (+ y (/ (log (- 1 (exp x))) x))))
(- (log (- 1 (exp (* 2 x)))) (log (- 1 (exp x))))
(log (- 1 (exp (* 2 x))))
(- 1 (exp (* 2 x)))
(- (exp x) 1)
(- (exp (* 2 x)) 1)
(log (- 1 (exp 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))))))
(* -1 (* x (- (* -1 (/ (- (log (- 1 (exp (* 2 x)))) (log (- 1 (exp x)))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -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))))))
(- (+ (log (- 1 (exp (* 2 x)))) (* -1 (* x y))) (log (- 1 (exp x))))
(* 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 (- (/ (log (- 1 (exp (* 2 x)))) y) (+ x (/ (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 (/ (- (log (- 1 (exp (* 2 x)))) (log (- 1 (exp x)))) y)) (* -1 x))))

Calls

6 calls:

Time	Variable		Point	Expression
95.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -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 (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (* x y)) (- (log (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (log (neg (- (exp (* 2 x)) 1))) (neg (- (exp (* 2 x)) 1)) (- (exp x) 1) (- (exp (* 2 x)) 1) (log (neg (- (exp x) 1))))
57.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -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 (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (* x y)) (- (log (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (log (neg (- (exp (* 2 x)) 1))) (neg (- (exp (* 2 x)) 1)) (- (exp x) 1) (- (exp (* 2 x)) 1) (log (neg (- (exp x) 1))))
12.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -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 (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (* x y)) (- (log (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (log (neg (- (exp (* 2 x)) 1))) (neg (- (exp (* 2 x)) 1)) (- (exp x) 1) (- (exp (* 2 x)) 1) (log (neg (- (exp x) 1))))
11.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -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 (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (* x y)) (- (log (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (log (neg (- (exp (* 2 x)) 1))) (neg (- (exp (* 2 x)) 1)) (- (exp x) 1) (- (exp (* 2 x)) 1) (log (neg (- (exp x) 1))))
5.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg y) x) (neg y) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- x -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 (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (* x y)) (- (log (neg (- (exp (* 2 x)) 1))) (log (neg (- (exp x) 1)))) (log (neg (- (exp (* 2 x)) 1))) (neg (- (exp (* 2 x)) 1)) (- (exp x) 1) (- (exp (* 2 x)) 1) (log (neg (- (exp x) 1))))

simplify146.0ms (2.1%)

Memory

9.6MiB live, 161.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	948
1	724	931
2	1911	917
3	5942	914
0	8501	803

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

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) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x 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)))
(- (log -2) (log -1))
(- (+ (log -2) (* x (- 1/2 y))) (log -1))
(- (+ (log -2) (* x (- (+ 1/2 (* 1/8 x)) y))) (log -1))
(- (+ (log -2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) (log -1))
(- (+ (log -2) (* 1/2 x)) (log -1))
(- (+ (log -2) (* x (+ 1/2 (* 1/8 x)))) (log -1))
(- (+ (log -2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) (log -1))
(+ (log -2) (log x))
(+ x (+ (log -2) (log x)))
(+ (log -2) (+ (log x) (* x (+ 1 (* 1/6 x)))))
(+ (log -2) (+ (log x) (* x (+ 1 (* x (+ 1/6 (* -1/180 (pow x 2))))))))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -4/3 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2/3 x) 4/3)) 2)) 2))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(+ (log -1) (log x))
(+ (log -1) (+ (log x) (* 1/2 x)))
(+ (log -1) (+ (log x) (* x (+ 1/2 (* 1/24 x)))))
(+ (log -1) (+ (log x) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2))))))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(* x (+ 1 (* 2 (/ 1 x))))
(* -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))
(* x (- (/ (log (- 1 (exp (* 2 x)))) x) (+ y (/ (log (- 1 (exp x))) x))))
(- (log (- 1 (exp (* 2 x)))) (log (- 1 (exp x))))
(log (- 1 (exp (* 2 x))))
(- 1 (exp (* 2 x)))
(- (exp x) 1)
(- (exp (* 2 x)) 1)
(log (- 1 (exp 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))))))
(* -1 (* x (- (* -1 (/ (- (log (- 1 (exp (* 2 x)))) (log (- 1 (exp x)))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -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))))))
(- (+ (log (- 1 (exp (* 2 x)))) (* -1 (* x y))) (log (- 1 (exp x))))
(* 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 (- (/ (log (- 1 (exp (* 2 x)))) y) (+ x (/ (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 (/ (- (log (- 1 (exp (* 2 x)))) (log (- 1 (exp x)))) y)) (* -1 x))))

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 (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)))
(+ (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)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 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))
(* x y)
(*.f64 y x)
(* -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))
(- (log -2) (log -1))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64)))
(- (+ (log -2) (* x (- 1/2 y))) (log -1))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64))))
(- (+ (log -2) (* x (- (+ 1/2 (* 1/8 x)) y))) (log -1))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64))))
(- (+ (log -2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) (log -1))
(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 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64))))
(- (+ (log -2) (* 1/2 x)) (log -1))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64))))
(- (+ (log -2) (* x (+ 1/2 (* 1/8 x)))) (log -1))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64))))
(- (+ (log -2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) (log -1))
(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 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64))))
(+ (log -2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ x (+ (log -2) (log x)))
(+.f64 (+.f64 (log.f64 x) x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (+ (log x) (* x (+ 1 (* 1/6 x)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))
(+ (log -2) (+ (log x) (* x (+ 1 (* x (+ 1/6 (* -1/180 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) x (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 x) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x)
(* x (- (* x (- (* -4/3 x) 2)) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x)
(* x (- (* x (- (* x (- (* -2/3 x) 4/3)) 2)) 2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal -4/3 binary64)) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(+ (log -1) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log x) (* 1/2 x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal -1 binary64))) (log.f64 x))
(+ (log -1) (+ (log x) (* x (+ 1/2 (* 1/24 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/2 binary64)) x (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (log x) (* x (+ 1/2 (* x (+ 1/24 (* -1/2880 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2880 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) x (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* -1/192 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (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)))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/192 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/192 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/192 binary64))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/192 binary64)) x) x)
(* x (- (/ (log (- 1 (exp (* 2 x)))) x) (+ y (/ (log (- 1 (exp x))) x))))
(*.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (neg.f64 (expm1.f64 x)))) x) y) x)
(- (log (- 1 (exp (* 2 x)))) (log (- 1 (exp x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (neg.f64 (expm1.f64 x))))
(log (- 1 (exp (* 2 x))))
(log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(- 1 (exp (* 2 x)))
(neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(- (exp x) 1)
(expm1.f64 x)
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(log (- 1 (exp x)))
(log.f64 (neg.f64 (expm1.f64 x)))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) #s(literal -1/192 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1/192 binary64)))
(* -1 (* x (- (* -1 (/ (- (log (- 1 (exp (* 2 x)))) (log (- 1 (exp x)))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (neg.f64 (expm1.f64 x)))) x) y) 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)) (* 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))
(- (+ (log (- 1 (exp (* 2 x)))) (* -1 (* x y))) (log (- 1 (exp x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (fma.f64 y x (log.f64 (neg.f64 (expm1.f64 x)))))
(* 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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.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))
(fma.f64 (fma.f64 (/.f64 x y) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) y)) y (neg.f64 y))
(* y (- (/ (log (- 1 (exp (* 2 x)))) y) (+ x (/ (log (- 1 (exp x))) y))))
(*.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (neg.f64 (expm1.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) (* 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)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
(neg.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64) y))
(* -1 (* y (- (* -1 (/ (- (log (- 1 (exp (* 2 x)))) (log (- 1 (exp x)))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (neg.f64 (expm1.f64 x)))) y) x) y)

rewrite234.0ms (3.3%)

Memory

22.5MiB live, 211.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	184
0	67	182
1	267	176
2	1983	172
0	9483	164

Stop Event

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

Counts

22 → 549

Calls

Call 1

Inputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #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 (-.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x)))) (.f64 x y))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(expm1.f64 x)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(log.f64 (neg.f64 (expm1.f64 x)))

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

eval169.0ms (2.4%)

Memory: 6.2MiB live, 133.3MiB allocated
Compiler: Compiled 24 384 to 2 956 computations (87.9% saved)

prune23.0ms (0.3%)

Memory

-14.4MiB live, 55.5MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	624	7	631
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	629	11	640

Accuracy

99.7%

Counts

640 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.6%	(fma.f64 (.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (log1p.f64 (exp.f64 x))) (pow.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)) (.f64 (neg.f64 y) x))
	32.4%	(-.f64 (-.f64 (log.f64 #s(approx (neg (- (exp (* 2 x)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x))) (log.f64 (neg.f64 (expm1.f64 x)))) (.f64 x y))
✓	65.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
✓	90.2%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	74.6%	#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))))
▶	81.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
	52.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (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))))
▶	28.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
✓	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	47.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	71.8%	#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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)))

Compiler

Compiled 484 to 362 computations (25.2% saved)

simplify127.0ms (1.8%)

Memory

16.6MiB live, 183.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
cost-diff	0	(.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (log1p.f64 (exp.f64 x)))
cost-diff	256	(.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))
cost-diff	46784	(fma.f64 (.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (log1p.f64 (exp.f64 x))) (pow.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)) (.f64 (neg.f64 y) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)))
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	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff	192	(+.f64 #s(literal 0 binary64) y)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	430
0	102	424
1	186	424
2	423	372
3	1231	372
4	3734	363
5	7751	363
0	8009	358

Stop Event

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

Calls

Call 1

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

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

localize419.0ms (5.9%)

Memory

-0.3MiB live, 357.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(pow.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64))
accuracy	0.21484375	(.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (log1p.f64 (exp.f64 x)))
accuracy	0.49591227557507894	(log1p.f64 (exp.f64 x))
accuracy	18.79501025431147	(log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
accuracy	0.0078125	(fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
accuracy	0.1640625	(/.f64 (log.f64 #s(literal 2 binary64)) y)
accuracy	0.24635899647551568	#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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)))
accuracy	0.3472032186015517	(.f64 (fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)
accuracy	0.00390625	(fma.f64 #s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y))
accuracy	0.015625	(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	0.24635899647551568	#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	1.2685111514941145	#s(approx (+ (* (* x x) -1/192) 1/8) #s(literal 1/8 binary64))
accuracy	0.0	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)
accuracy	0.0	(*.f64 y y)
accuracy	19.73136458276115	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
accuracy	30.244623164395733	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(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	0.46240709692465654	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))

Samples

138.0ms	39×	4	exit
132.0ms	47×	3	exit
81.0ms	170×	0	valid

Compiler

Compiled 834 to 115 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-log: 123.0ms (40% of total)

adjust: 58.0ms (18.9% of total)

ival-mult: 53.0ms (17.2% of total)

ival-pow: 24.0ms (7.8% of total)

ival-add: 11.0ms (3.6% of total)

ival-div: 7.0ms (2.3% of total)

ival-sub: 7.0ms (2.3% of total)

ival-expm1: 6.0ms (2% of total)

ival-neg: 5.0ms (1.6% of total)

ival-log1p: 5.0ms (1.6% of total)

const: 5.0ms (1.6% of total)

ival-exp: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

series205.0ms (2.9%)

Memory

-0.8MiB live, 153.3MiB allocated

Counts

26 → 103

Calls

Call 1

Inputs
#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))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#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)) #s(approx (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y))
(fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))
(/.f64 x y)
(fma.f64 (.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (log1p.f64 (exp.f64 x))) (pow.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)) (.f64 (neg.f64 y) x))
(.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (log1p.f64 (exp.f64 x)))
(log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
(*.f64 y y)
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)
(.f64 (fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y)
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(log1p.f64 (exp.f64 x))
(pow.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal -1 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)))
(- 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)))
(/ (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))
(/ x y)
(+ (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))))))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3 x)))
(* (pow x 2) (+ 2 (* x (+ 3 (* 8/3 x)))))
(* (pow x 2) (+ 2 (* x (+ 3 (* x (+ 8/3 (* 7/4 x)))))))
(* (log 2) (+ (log 2) (* 2 (log x))))
(+ (* x (+ (* 1/2 (+ (log 2) (* 2 (log x)))) (* 3/2 (log 2)))) (* (log 2) (+ (log 2) (* 2 (log x)))))
(+ (* x (+ (* 1/2 (+ (log 2) (* 2 (log x)))) (+ (* 3/2 (log 2)) (* x (+ 3/4 (+ (* 1/8 (+ (log 2) (* 2 (log x)))) (* 5/24 (log 2)))))))) (* (log 2) (+ (log 2) (* 2 (log x)))))
(+ (* x (+ (* 1/2 (+ (log 2) (* 2 (log x)))) (+ (* 3/2 (log 2)) (* x (+ 3/4 (+ (* 1/8 (+ (log 2) (* 2 (log x)))) (+ (* 5/24 (log 2)) (* 7/24 x)))))))) (* (log 2) (+ (log 2) (* 2 (log x)))))
(+ (log 2) (* 2 (log x)))
(+ (log 2) (+ (* 3/2 x) (* 2 (log x))))
(+ (log 2) (+ (* 2 (log x)) (* x (+ 3/2 (* 5/24 x)))))
(+ (log 2) (+ (* 2 (log x)) (* x (+ 3/2 (* x (+ 5/24 (* -17/2880 (pow x 2))))))))
(* -1 (* x y))
(+ (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)))))
(+ (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 (+ (log 2) (* 2 (log x))))
(+ (* -3/2 (/ x (pow (+ (log 2) (* 2 (log x))) 2))) (/ 1 (+ (log 2) (* 2 (log x)))))
(+ (* x (- (* x (- (* 9/4 (/ 1 (pow (+ (log 2) (* 2 (log x))) 3))) (* 5/24 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2))))) (* 3/2 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2))))) (/ 1 (+ (log 2) (* 2 (log x)))))
(+ (* x (- (* x (- (+ (* 9/4 (/ 1 (pow (+ (log 2) (* 2 (log x))) 3))) (* x (- (* 5/16 (/ 1 (pow (+ (log 2) (* 2 (log x))) 3))) (* 3/2 (/ (- (* 9/4 (/ 1 (pow (+ (log 2) (* 2 (log x))) 3))) (* 5/24 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2)))) (+ (log 2) (* 2 (log x)))))))) (* 5/24 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2))))) (* 3/2 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2))))) (/ 1 (+ (log 2) (* 2 (log 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))
(* -1/192 (/ (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)))))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* (- 1 (exp x)) (- 1 (exp (* 2 x))))
(* (log (* (- 1 (exp x)) (- 1 (exp (* 2 x))))) (log (+ 1 (exp x))))
(log (* (- 1 (exp x)) (- 1 (exp (* 2 x)))))
(* (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))
(log (+ 1 (exp x)))
(/ 1 (log (* (- 1 (exp x)) (- 1 (exp (* 2 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))))))
(* (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 (* x (+ y (* -1 (/ (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))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(* -1 y)
y
(* -1 (pow y 2))
(+ (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))))))
(/ (+ (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)
(pow y 2)
(* 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))
(* -1 x)
(- (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)) x)
(* y (+ (* -1 x) (/ (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 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)) x)
(* -1 (* y (+ x (* -1 (/ (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
73.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (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 y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) (/ x y) (+ (* (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1)) (* (neg y) x)) (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1))) (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (+ (* (/ x y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) y) (/ (log 2) y) (log (+ 1 (exp x))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1))
48.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (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 y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) (/ x y) (+ (* (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1)) (* (neg y) x)) (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1))) (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (+ (* (/ x y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) y) (/ (log 2) y) (log (+ 1 (exp x))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1))
28.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (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 y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) (/ x y) (+ (* (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1)) (* (neg y) x)) (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1))) (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (+ (* (/ x y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) y) (/ (log 2) y) (log (+ 1 (exp x))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1))
27.0ms	x	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (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 y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) (/ x y) (+ (* (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1)) (* (neg y) x)) (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1))) (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (+ (* (/ x y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) y) (/ (log 2) y) (log (+ 1 (exp x))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1))
14.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (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 y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) (/ x y) (+ (* (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1)) (* (neg y) x)) (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1))) (* (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (log (+ 1 (exp x)))) (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) (* y y) (* (/ (- 0 (* y y)) (+ 0 y)) x) (* (+ (* (/ x y) (+ (* (+ (* (* x x) -1/192) 1/8) x) 1/2)) (- (/ (log 2) y) x)) y) (/ (log 2) y) (log (+ 1 (exp x))) (pow (log (* (neg (- (exp x) 1)) (neg (- (exp (* 2 x)) 1)))) -1))

simplify169.0ms (2.4%)

Memory

-8.1MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	1595
1	1094	1566
2	3219	1515
0	8428	1363

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 102

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)))
(- 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)))
(/ (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))
(/ x y)
(+ (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))))))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3 x)))
(* (pow x 2) (+ 2 (* x (+ 3 (* 8/3 x)))))
(* (pow x 2) (+ 2 (* x (+ 3 (* x (+ 8/3 (* 7/4 x)))))))
(* (log 2) (+ (log 2) (* 2 (log x))))
(+ (* x (+ (* 1/2 (+ (log 2) (* 2 (log x)))) (* 3/2 (log 2)))) (* (log 2) (+ (log 2) (* 2 (log x)))))
(+ (* x (+ (* 1/2 (+ (log 2) (* 2 (log x)))) (+ (* 3/2 (log 2)) (* x (+ 3/4 (+ (* 1/8 (+ (log 2) (* 2 (log x)))) (* 5/24 (log 2)))))))) (* (log 2) (+ (log 2) (* 2 (log x)))))
(+ (* x (+ (* 1/2 (+ (log 2) (* 2 (log x)))) (+ (* 3/2 (log 2)) (* x (+ 3/4 (+ (* 1/8 (+ (log 2) (* 2 (log x)))) (+ (* 5/24 (log 2)) (* 7/24 x)))))))) (* (log 2) (+ (log 2) (* 2 (log x)))))
(+ (log 2) (* 2 (log x)))
(+ (log 2) (+ (* 3/2 x) (* 2 (log x))))
(+ (log 2) (+ (* 2 (log x)) (* x (+ 3/2 (* 5/24 x)))))
(+ (log 2) (+ (* 2 (log x)) (* x (+ 3/2 (* x (+ 5/24 (* -17/2880 (pow x 2))))))))
(* -1 (* x y))
(+ (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)))))
(+ (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 (+ (log 2) (* 2 (log x))))
(+ (* -3/2 (/ x (pow (+ (log 2) (* 2 (log x))) 2))) (/ 1 (+ (log 2) (* 2 (log x)))))
(+ (* x (- (* x (- (* 9/4 (/ 1 (pow (+ (log 2) (* 2 (log x))) 3))) (* 5/24 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2))))) (* 3/2 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2))))) (/ 1 (+ (log 2) (* 2 (log x)))))
(+ (* x (- (* x (- (+ (* 9/4 (/ 1 (pow (+ (log 2) (* 2 (log x))) 3))) (* x (- (* 5/16 (/ 1 (pow (+ (log 2) (* 2 (log x))) 3))) (* 3/2 (/ (- (* 9/4 (/ 1 (pow (+ (log 2) (* 2 (log x))) 3))) (* 5/24 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2)))) (+ (log 2) (* 2 (log x)))))))) (* 5/24 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2))))) (* 3/2 (/ 1 (pow (+ (log 2) (* 2 (log x))) 2))))) (/ 1 (+ (log 2) (* 2 (log 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))
(* -1/192 (/ (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)))))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(* (- 1 (exp x)) (- 1 (exp (* 2 x))))
(* (log (* (- 1 (exp x)) (- 1 (exp (* 2 x))))) (log (+ 1 (exp x))))
(log (* (- 1 (exp x)) (- 1 (exp (* 2 x)))))
(* (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))
(log (+ 1 (exp x)))
(/ 1 (log (* (- 1 (exp x)) (- 1 (exp (* 2 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))))))
(* (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 (* x (+ y (* -1 (/ (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))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(* -1 y)
y
(* -1 (pow y 2))
(+ (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))))))
(/ (+ (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)
(pow y 2)
(* 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))
(* -1 x)
(- (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)) x)
(* y (+ (* -1 x) (/ (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 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)) x)
(* -1 (* y (+ x (* -1 (/ (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 (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)))
(- 1/2 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))
(/ (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 #s(literal 1 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #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 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/192 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) x (/.f64 (log.f64 #s(literal 2 binary64)) y))
(/ x y)
(/.f64 x y)
(+ (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)))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 3 x)))
(.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* x (+ 3 (* 8/3 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 3 binary64)) x #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ 2 (* x (+ 3 (* x (+ 8/3 (* 7/4 x)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7/4 binary64) x #s(literal 8/3 binary64)) x #s(literal 3 binary64)) x #s(literal 2 binary64)) x) x)
(* (log 2) (+ (log 2) (* 2 (log x))))
(*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(+ (* x (+ (* 1/2 (+ (log 2) (* 2 (log x)))) (* 3/2 (log 2)))) (* (log 2) (+ (log 2) (* 2 (log x)))))
(fma.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64) (log.f64 x)) x (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
(+ (* x (+ (* 1/2 (+ (log 2) (* 2 (log x)))) (+ (* 3/2 (log 2)) (* x (+ 3/4 (+ (* 1/8 (+ (log 2) (* 2 (log x)))) (* 5/24 (log 2)))))))) (* (log 2) (+ (log 2) (* 2 (log x)))))
(fma.f64 (fma.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 x) #s(literal 3/4 binary64))) x (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64) (log.f64 x))) x (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
(+ (* x (+ (* 1/2 (+ (log 2) (* 2 (log x)))) (+ (* 3/2 (log 2)) (* x (+ 3/4 (+ (* 1/8 (+ (log 2) (* 2 (log x)))) (+ (* 5/24 (log 2)) (* 7/24 x)))))))) (* (log 2) (+ (log 2) (* 2 (log x)))))
(fma.f64 (fma.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (fma.f64 #s(literal 7/24 binary64) x #s(literal 3/4 binary64)))) x (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64) (log.f64 x))) x (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
(+ (log 2) (* 2 (log x)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* 3/2 x) (* 2 (log x))))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (fma.f64 #s(literal 3/2 binary64) x (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 2 (log x)) (* x (+ 3/2 (* 5/24 x)))))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 5/24 binary64) x #s(literal 3/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(+ (log 2) (+ (* 2 (log x)) (* x (+ 3/2 (* x (+ 5/24 (* -17/2880 (pow x 2))))))))
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(* -1 (* x y))
(*.f64 (neg.f64 y) x)
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(.f64 (+.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1/192 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/192 binary64))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/192 binary64))) (pow.f64 x #s(literal 3 binary64)))
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(* -1/192 (/ (pow x 4) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1/192 binary64))
(* (pow x 4) (- (* 1/8 (/ 1 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
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(* (pow x 4) (- (+ (/ 1/8 (* (pow x 2) y)) (* 1/2 (/ 1 (* (pow x 3) y)))) (+ (* 1/192 (/ 1 y)) (/ 1 (pow x 3)))))
(.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) y) (/.f64 #s(literal 1/192 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (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)))))
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(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* (- 1 (exp x)) (- 1 (exp (* 2 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(* (log (* (- 1 (exp x)) (- 1 (exp (* 2 x))))) (log (+ 1 (exp x))))
(.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) (log1p.f64 (exp.f64 x)))
(log (* (- 1 (exp x)) (- 1 (exp (* 2 x)))))
(log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(* (pow x 4) (- (+ (* 1/8 (/ 1 (pow x 2))) (/ (* y (- (* 1/2 (/ 1 y)) 1)) (pow x 3))) 1/192))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (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))
(.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(/ 1 (log (* (- 1 (exp x)) (- 1 (exp (* 2 x))))))
(/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)) (/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)))
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 4) (- (+ (* -1 (/ (- 1 (* 1/2 (/ 1 y))) (pow x 3))) (/ 1/8 (* (pow x 2) y))) (* 1/192 (/ 1 y))))
(.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) y) (/.f64 #s(literal 1/192 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (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))))
(.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/192 binary64) y)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* (pow x 4) (- (+ (* -1 (/ (* y (- 1 (* 1/2 (/ 1 y)))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (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))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/192 binary64)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) y y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (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)
(* -1 y)
(neg.f64 y)
y
(* -1 (pow y 2))
(*.f64 (neg.f64 y) 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))
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)
(/.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)
(/ (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)
(/.f64 (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))) y)
(pow y 2)
(*.f64 y 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 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x (/.f64 (log.f64 #s(literal 2 binary64)) y)) 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 (-.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)
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))
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(* -1 x)
(neg.f64 x)
(- (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)) x)
(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 (+ (* -1 x) (/ (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 (fma.f64 #s(literal -1 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 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)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
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(- (* -1 (/ (+ (* -1 (log 2)) (* -1 (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) y)) x)
(-.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)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) 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)

rewrite195.0ms (2.7%)

Memory

33.3MiB live, 226.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	352
0	102	338
1	402	324
2	3432	304
0	8290	302

Stop Event

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

Counts

26 → 657

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal 3 binary64))) (.f64 y y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (.f64 y y) (.f64 y y)) (neg.f64 y) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1/2 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))
(-.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(-.f64 #s(literal 1/2 binary64) y)
(+.f64 (neg.f64 y) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 y))
(neg.f64 (log.f64 #s(literal 1/2 binary64)))
(log.f64 #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -4 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y))
(.f64 (/.f64 (.f64 y y) (*.f64 y y)) (neg.f64 y))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 y) y))
(*.f64 #s(literal -1 binary64) y)
(.f64 (.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64)))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (pow.f64 y #s(literal 5 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) y)
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64))) (.f64 y y))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal -1 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 5 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (*.f64 y (pow.f64 y #s(literal 4 binary64))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (*.f64 y (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(fma.f64 (pow.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
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(fma.f64 y (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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) (.f64 #s(literal 0 binary64) (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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))))
(fma.f64 y (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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) 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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) #s(literal 0 binary64)))
(fma.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x) (.f64 y (.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (/.f64 x y))))
(+.f64 (.f64 #s(literal 0 binary64) (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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) 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)) (/.f64 x y) (-.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)) (/.f64 x y)) 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 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (/.f64 x y)) y))
(+.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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) #s(literal 0 binary64)) (.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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y))
(+.f64 (.f64 y (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (/.f64 x y))) (.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 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (/.f64 x y))))
(+.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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y) (.f64 #s(literal 0 binary64) (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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x))))
(+.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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) y) (.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)) (/.f64 x y) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) #s(literal 0 binary64)))
(.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))
(.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 y y)) (neg.f64 y))
(*.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)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(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 (neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (log.f64 #s(literal 2 binary64)))))
(/.f64 (log.f64 #s(literal 2 binary64)) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (log.f64 #s(literal 2 binary64))))))
(/.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))))
(neg.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (log.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(log1p.f64 (exp.f64 x))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (log.f64 (expm1.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -1/2 binary64)) (pow.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x))))))
(pow.f64 (/.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
(exp.f64 (fma.f64 (log.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal -1/2 binary64) (.f64 (log.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)))

eval204.0ms (2.9%)

Memory: -9.6MiB live, 203.7MiB allocated
Compiler: Compiled 32 299 to 3 368 computations (89.6% saved)

prune38.0ms (0.5%)

Memory

-14.6MiB live, 67.1MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	804	16	820
Fresh	1	2	3
Picked	5	0	5
Done	0	3	3
Total	810	21	831

Accuracy

99.7%

Counts

831 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
✓	90.2%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	50.7%	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶	48.5%	#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))))
	52.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (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))))
	25.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
	52.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	25.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
	22.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
▶	28.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
	21.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y))) x))
	19.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y)))
	52.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
▶	28.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
	25.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
✓	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	47.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	81.3%	#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)))
▶	35.2%	#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)))
	52.4%	#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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 y y)) (neg.f64 y)) x)) y)))
	71.7%	#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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x)) y)))

Compiler

Compiled 966 to 724 computations (25.1% saved)

simplify112.0ms (1.6%)

Memory

1.3MiB live, 77.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
cost-diff	1216	(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
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	40	280
0	57	263
1	98	257
2	202	233
3	521	233
4	1499	233
5	3438	227
6	5390	227
7	7114	227
0	8030	210

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)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
(.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)
(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
(*.f64 y y)
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(literal 0 binary64)
(*.f64 y y)
y
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
#s(literal -1 binary64)
(/.f64 #s(literal -1 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)

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 (/.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 (/.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)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 (neg.f64 x) y)
(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
(neg.f64 y)
(*.f64 y y)
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x)
(*.f64 (neg.f64 x) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) y)
#s(literal 0 binary64)
(*.f64 y y)
y
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
y
#s(literal -1 binary64)
(/.f64 #s(literal -1 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)

localize114.0ms (1.6%)

Memory

8.4MiB live, 124.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.015625	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy	11.969863123559737	#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	31.410114312129096	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	0.22265625	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
accuracy	29.973013605561473	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
accuracy	30.244623164395733	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
accuracy	0.0	(.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)
accuracy	0.0	(*.f64 y y)
accuracy	30.074576105561473	(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
accuracy	30.244623164395733	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	11.969863123559737	#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	30.03393931625974	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0	#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))
accuracy	0.11328125	(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
accuracy	0.23046875	(/.f64 (log.f64 #s(literal 2 binary64)) x)
accuracy	11.969863123559737	#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

94.0ms

256×

valid

Compiler

Compiled 473 to 70 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-sub: 43.0ms (60.2% of total)

ival-mult: 11.0ms (15.4% of total)

ival-div: 7.0ms (9.8% of total)

ival-log: 3.0ms (4.2% of total)

ival-log1p: 3.0ms (4.2% of total)

ival-add: 2.0ms (2.8% of total)

ival-exp: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series52.0ms (0.7%)

Memory

-13.2MiB live, 75.4MiB allocated

Counts

21 → 42

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)
(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
(.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 y y)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 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))
(log.f64 #s(literal 2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) x)

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))
(* -1 (* x y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(- 1/2 y)
(- (+ 1/2 (/ (log 2) x)) y)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* 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))
(* -1 y)
(pow y 2)
y
(* -1 (pow y 2))
(* 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))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -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)))))

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	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) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ -1 (/ -1 y)) (/ (- 0 (* y y)) (/ -1 (/ -1 y))) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (log 2) x))
10.0ms	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) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ -1 (/ -1 y)) (/ (- 0 (* y y)) (/ -1 (/ -1 y))) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (log 2) x))
9.0ms	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) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ -1 (/ -1 y)) (/ (- 0 (* y y)) (/ -1 (/ -1 y))) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (log 2) x))
4.0ms	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) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ -1 (/ -1 y)) (/ (- 0 (* y y)) (/ -1 (/ -1 y))) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (log 2) x))
4.0ms	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) (* (* y y) (/ -1 y)) (- (log (+ 1 (exp x))) (* x y)) (* (* (* y y) (/ -1 y)) x) (* y y) (/ -1 (/ -1 y)) (/ (- 0 (* y y)) (/ -1 (/ -1 y))) (- 0 (* y y)) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (/ (log 2) x))

simplify109.0ms (1.5%)

Memory

20.8MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	281
1	327	280
2	924	280
3	3547	276
4	6779	276
0	8014	247

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

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))
(* -1 (* x y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(- 1/2 y)
(- (+ 1/2 (/ (log 2) x)) y)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* 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))
(* -1 y)
(pow y 2)
y
(* -1 (pow y 2))
(* 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))))
(* y (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* -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)))))

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

rewrite189.0ms (2.7%)

Memory

-25.3MiB live, 289.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	233
0	57	222
1	216	215
2	1628	195
0	8195	181

Stop Event

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

Counts

21 → 789

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)
(.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
(.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 y y)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 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))
(log.f64 #s(literal 2 binary64))
(/.f64 (log.f64 #s(literal 2 binary64)) x)

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

eval126.0ms (1.8%)

Memory: 33.5MiB live, 193.2MiB allocated
Compiler: Compiled 30 121 to 4 000 computations (86.7% saved)

prune39.0ms (0.6%)

Memory

-32.1MiB live, 85.6MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	815	9	824
Fresh	3	10	13
Picked	2	3	5
Done	0	3	3
Total	820	25	845

Accuracy

99.7%

Counts

845 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
✓	90.2%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	50.7%	#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 #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓	48.5%	#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))))
	52.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (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))))
	25.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
	52.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
	25.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
	22.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
	21.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) y))) x))
	28.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
	25.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 x) y) (.f64 y y)))
	52.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
	25.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) x)))
✓	28.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
✓	52.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))
	33.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 (neg.f64 x) y))))
	47.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	17.9%	#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)))))
✓	35.2%	#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)))
	81.2%	#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 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) x)))
	48.5%	#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)))
	3.8%	#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)))
	52.4%	#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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 y y)) (neg.f64 y)) x)) y)))
	71.7%	#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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) x)) y)))

Compiler

Compiled 1 638 to 687 computations (58.1% saved)

regimes35.0ms (0.5%)

Memory

13.5MiB live, 51.7MiB allocated

Counts

42 → 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 (- (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)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 x) y) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) 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)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
#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 #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 #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 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (+ (/ (log 2) x) 1/2) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) 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))))
#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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.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)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 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)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 y y)) (neg.f64 y)) x)) y)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (log.f64 #s(approx (neg (- (exp (* 2 x)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x))) (log.f64 (neg.f64 (expm1.f64 x)))) (.f64 x y))
(-.f64 (-.f64 (log.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (expm1.f64 x))) (.f64 x y))
(-.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (log.f64 (neg.f64 (expm1.f64 x)))) (.f64 x y))
(fma.f64 (.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (log1p.f64 (exp.f64 x))) (pow.f64 (log.f64 (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)) (.f64 (neg.f64 y) x))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))

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

Calls

3 calls:

12.0ms	x
11.0ms	y
10.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes47.0ms (0.7%)

Memory

4.3MiB live, 59.0MiB allocated

Counts

36 → 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 (- (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)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 x) y) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) 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)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
#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 #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 #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 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (+ (/ (log 2) x) 1/2) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) 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))))
#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 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.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)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 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)) (.f64 (fma.f64 (/.f64 x y) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 y y)) (neg.f64 y)) x)) y)))

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:

27.0ms	y
9.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	2	`x`
90.2%	1	`y`
97.9%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes11.0ms (0.2%)

Memory

-19.9MiB live, 19.2MiB allocated

Counts

32 → 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 (- (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)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 x) y) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) 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)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
#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 #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 #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 #s(approx (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (+ (/ (log 2) x) 1/2) y) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))) x)) 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 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

26 → 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 (- (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)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 x) y) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) 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)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (-.f64 x #s(literal -2 binary64)))) (*.f64 x y))
#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 #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 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

-23.0MiB live, 16.2MiB allocated

Counts

23 → 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 (- (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)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 x) y) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) 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)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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))

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:

7.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

22 → 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 (- (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)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 x) y) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) 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)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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:

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

Results

Accuracy	Segments	Branch
97.4%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
82.0%	2	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes6.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

21 → 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 (- (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)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 x) y) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) 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)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (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)) (log.f64 #s(literal 2 binary64)))

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
96.7%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes54.0ms (0.8%)

Memory

-13.5MiB live, 25.4MiB allocated

Counts

20 → 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 (- (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)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 y (.f64 y (/.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 x) y) (.f64 y y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (*.f64 y y) 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)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 (neg.f64 y) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (.f64 y y)) (neg.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (/.f64 (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) y))) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) y))) x))

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

Calls

3 calls:

42.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
6.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
52.7%	1	`x`
52.7%	1	`y`
52.7%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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)))

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:

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

Results

Accuracy	Segments	Branch
3.8%	1	`y`
3.8%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
3.8%	1	`x`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch16.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-2005208.4183104823	-0.05894329570787611

Samples

9.0ms

144×

valid

Compiler

Compiled 363 to 299 computations (17.6% saved)

Precisions

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

ival-exp: 2.0ms (37.6% of total)

ival-log1p: 2.0ms (37.6% of total)

ival-sub: 1.0ms (18.8% of total)

ival-mult: 1.0ms (18.8% of total)

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

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

bsearch17.0ms (0.2%)

Memory

-32.0MiB live, 9.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-2005208.4183104823	-0.05894329570787611

Samples

11.0ms

112×

valid

Compiler

Compiled 318 to 272 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 6.0ms (73.5% of total)

ival-log1p: 1.0ms (12.3% of total)

ival-mult: 1.0ms (12.3% of total)

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

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

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

bsearch9.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-2005208.4183104823	-0.05894329570787611

Samples

5.0ms

80×

valid

Compiler

Compiled 291 to 254 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (34.4% of total)

ival-log1p: 1.0ms (34.4% of total)

ival-mult: 1.0ms (34.4% 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

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2005208.4183104823	-0.05894329570787611

Compiler

Compiled 237 to 218 computations (8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6958813478271414	68.72633366187196
0.0ms	4.310432460432652e-19	0.6676306364282358

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6958813478271414	68.72633366187196
0.0ms	4.310432460432652e-19	0.6676306364282358

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify92.0ms (1.3%)

Memory

-1.5MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	303
1	93	303
2	125	303
3	163	303
4	218	303
5	293	303
6	516	303
7	3808	303

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(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 -43 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 -43 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 1298074214633707/2596148429267413814265248164610048 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 1298074214633707/2596148429267413814265248164610048 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)) (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
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(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 -43 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 -43 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 1298074214633707/2596148429267413814265248164610048 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 (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (not (<=.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)) (.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)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1298074214633707/2596148429267413814265248164610048 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)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) x))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (not (<=.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)) (.f64 (neg.f64 y) x)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (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)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness1.4s (20.2%)

Memory

5.9MiB live, 558.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	197
1	180	197
2	399	197
3	1386	197
4	4230	187
5	7018	187
0	8031	153
0	109	281
1	327	280
2	924	280
3	3547	276
4	6779	276
0	8014	247
0	254	948
1	724	931
2	1911	917
3	5942	914
0	8501	803
0	361	1595
1	1094	1566
2	3219	1515
0	8428	1363

Stop Event

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

Compiler

Compiled 428 to 185 computations (56.8% saved)

preprocess118.0ms (1.6%)

Memory: -7.0MiB live, 110.9MiB allocated
Compiler: Compiled 676 to 184 computations (72.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	51
1	58	49
2	121	49
3	235	49
4	322	49
5	446	49
6	502	49
7	547	49
8	551	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	163	9
8	213	9
9	240	9
10	264	9
11	273	9
0	273	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	163	26
8	213	26
9	240	26
10	264	26
11	273	26
0	273	22

Iter	Nodes	Cost
0	22	51
1	58	49
2	121	49
3	235	49
4	322	49
5	446	49
6	502	49
7	547	49
8	551	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	163	9
8	213	9
9	240	9
10	264	9
11	273	9
0	273	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	163	26
8	213	26
9	240	26
10	264	26
11	273	26
0	273	22

start0.0ms (0%)

analyze103.0ms (1.4%)

sample1.1s (15.9%)

explain100.0ms (1.4%)

preprocess29.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify9.0ms (0.1%)

localize25.0ms (0.4%)

series57.0ms (0.8%)

simplify135.0ms (1.9%)

rewrite213.0ms (3%)

eval47.0ms (0.7%)

prune10.0ms (0.1%)

simplify288.0ms (4%)

localize247.0ms (3.5%)

series183.0ms (2.6%)

simplify146.0ms (2.1%)

rewrite234.0ms (3.3%)

eval169.0ms (2.4%)

prune23.0ms (0.3%)

simplify127.0ms (1.8%)

localize419.0ms (5.9%)

series205.0ms (2.9%)

simplify169.0ms (2.4%)

rewrite195.0ms (2.7%)

eval204.0ms (2.9%)

prune38.0ms (0.5%)

simplify112.0ms (1.6%)

localize114.0ms (1.6%)

series52.0ms (0.7%)

simplify109.0ms (1.5%)

rewrite189.0ms (2.7%)

eval126.0ms (1.8%)

prune39.0ms (0.6%)

regimes35.0ms (0.5%)

regimes47.0ms (0.7%)

regimes11.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes54.0ms (0.8%)

regimes4.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify92.0ms (1.3%)

soundness1.4s (20.2%)

preprocess118.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	51
1	58	49
2	121	49
3	235	49
4	322	49
5	446	49
6	502	49
7	547	49
8	551	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	163	9
8	213	9
9	240	9
10	264	9
11	273	9
0	273	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	163	26
8	213	26
9	240	26
10	264	26
11	273	26
0	273	22