Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze120.0ms (1.5%)

Memory

-6.0MiB live, 181.2MiB allocated; 42ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.7s (34.7%)

Memory

27.4MiB live, 3 312.1MiB allocated; 489ms collecting garbage

Samples

1.6s	2 709×	5	exit
601.0ms	8 256×	0	valid

Precisions

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

ival-log1p: 890.0ms (53.9% of total)

adjust: 327.0ms (19.8% of total)

ival-exp: 209.0ms (12.6% of total)

ival-mult: 110.0ms (6.7% of total)

ival-sub: 103.0ms (6.2% of total)

ival-true: 8.0ms (0.5% of total)

ival-assert: 5.0ms (0.3% of total)

Bogosity

explain109.0ms (1.4%)

Memory

13.1MiB live, 60.7MiB allocated; 2ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
4	81	(-7.079089658753732e+202 -2.2141897787625028e+76)	-	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`
0	0	-	-	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	sensitivity	81	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	4	0
↳	`(exp.f64 x)`	overflow	4
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	4

Confusion

	Predicted +	Predicted -
+	4	0
-	81	171

Precision

0.047058823529411764

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	81	0	171

Precision?

0.047058823529411764

Recall?

1.0

Freqs

test

number	freq
0	171
1	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-log1p: 5.0ms (27.6% of total)

ival-exp: 4.0ms (22.1% of total)

ival-mult: 4.0ms (22.1% of total)

ival-add: 2.0ms (11.1% of total)

ival-sub: 2.0ms (11.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess261.0ms (3.3%)

Memory

-15.9MiB live, 99.5MiB allocated; 114ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	52	49
2	118	49
3	249	49
4	912	49
5	7599	49
0	8	9
0	13	9
1	23	9
2	43	9
3	82	9
4	221	9
5	1548	9
6	5632	9
7	7927	9
0	8417	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify157.0ms (2%)

Memory

-0.4MiB live, 90.7MiB allocated; 21ms collecting garbage

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	2	(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	23	26
2	43	26
3	82	26
4	221	26
5	1548	26
6	5632	26
7	7927	26
0	8417	22

Stop Event

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

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.015625	(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.9838990232432661	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

15.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-exp: 2.0ms (23.2% of total)

ival-mult: 2.0ms (23.2% of total)

ival-log1p: 2.0ms (23.2% of total)

ival-add: 1.0ms (11.6% of total)

ival-sub: 1.0ms (11.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.8%)

Memory

-8.4MiB live, 38.5MiB allocated; 3ms collecting garbage

Counts

4 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
20.0ms	x	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
3.0ms	y	@	0	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms	y	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))

simplify186.0ms (2.4%)

Memory

-26.6MiB live, 77.0MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	194
1	212	194
2	648	194
3	2113	194
4	4357	184
5	7784	184
0	8104	150

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite164.0ms (2.1%)

Memory

18.6MiB live, 107.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	13	20
1	49	20
2	335	20
3	3391	20
0	8375	16

Stop Event

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

Counts

4 → 261

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (neg.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(/.f64 (fabs.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 (exp.f64 x)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))))
(/.f64 (fabs.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)))) (fabs.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))
(/.f64 (fabs.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 (exp.f64 x)) #s(literal 3 binary64)))) (fabs.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 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))))))
(/.f64 (fabs.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)))) (fabs.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 (exp.f64 x)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.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 (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 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.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)))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (log.f64 (+.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))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))))
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eval82.0ms (1%)

Memory: 13.8MiB live, 67.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 6 790 to 1 195 computations (82.4% saved)

prune27.0ms (0.3%)

Memory

-28.1MiB live, 19.6MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	273	8	281
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	8	282

Accuracy

99.4%

Counts

282 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	67.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
	66.1%	(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
	89.3%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶	73.5%	#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))))
	78.0%	#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))))
▶	83.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	51.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))

Compiler

Compiled 272 to 200 computations (26.5% saved)

simplify129.0ms (1.6%)

Memory

49.2MiB live, 137.9MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	222
0	65	222
1	112	222
2	270	222
3	1020	222
4	3773	222
5	7762	222
0	8108	222

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (2%)

Memory

-27.2MiB live, 220.9MiB allocated; 33ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.639003759768442	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
accuracy	0.640625	(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
accuracy	0.9760865232432661	(log1p.f64 (exp.f64 x))
accuracy	19.34575659214779	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (.f64 y x) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
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	0.01171875	(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	0.270140585064951	(fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64))
accuracy	16.949534749829468	#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 #s(literal 1/2 binary64) y)
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	10.558568416894985	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	31.31158874308934	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(exp.f64 x)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
accuracy	0.9760865232432661	(log1p.f64 (exp.f64 x))

Samples

103.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 238 to 38 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 32.0ms (37.6% of total)

const: 18.0ms (21.1% of total)

ival-pow: 8.0ms (9.4% of total)

ival-add: 7.0ms (8.2% of total)

ival-pow2: 6.0ms (7% of total)

ival-sub: 3.0ms (3.5% of total)

ival-exp: 2.0ms (2.3% of total)

ival-log: 2.0ms (2.3% of total)

ival-log1p: 2.0ms (2.3% of total)

ival-neg: 2.0ms (2.3% of total)

ival-div: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series54.0ms (0.7%)

Memory

13.2MiB live, 107.1MiB allocated; 7ms collecting garbage

Counts

19 → 91

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
11.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
9.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
6.0ms	x	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))
5.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) x) (log 2)) (+ (* (+ (* (* x x) -1/192) 1/8) x) (- 1/2 y)) (+ (* (* x x) -1/192) 1/8) (/ (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (pow (log (+ 1 (exp x))) 2))) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) (pow (log (+ 1 (exp x))) 3) (pow (log (+ 1 (exp x))) 2))

simplify181.0ms (2.3%)

Memory

21.2MiB live, 242.6MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	1624
1	1356	1330
2	5540	1308
0	8062	1151

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 91

Calls

Call 1

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

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (+ 1/2 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 x)
(neg.f64 x)
(- 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))
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rewrite263.0ms (3.3%)

Memory

1.6MiB live, 379.3MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	162
0	65	142
1	268	142
2	1943	142
0	8582	142

Stop Event

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

Counts

19 → 670

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
(.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))) (-.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y))) (pow.f64 (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))) (.f64 (-.f64 (.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x))) (-.f64 (.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) (.f64 (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (.f64 (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(fma.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (.f64 (neg.f64 x) y) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (log1p.f64 (exp.f64 x))))
(fma.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (log1p.f64 (exp.f64 x)) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (.f64 (neg.f64 x) y)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 x)) (.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 x)) (.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (*.f64 x y)))
(fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 x)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 (.f64 x y) (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 x) y) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (*.f64 x y)))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(fma.f64 x (fabs.f64 (.f64 y (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 x (.f64 y (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(fma.f64 y (.f64 x (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))))
(-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))))
(-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (log1p.f64 (exp.f64 x))))
(-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (*.f64 x y)))
(-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))))))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 x y) #s(literal 9 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (neg.f64 x) y) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 x) y) (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))))
(+.f64 (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (.f64 (neg.f64 x) y)) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (log1p.f64 (exp.f64 x))))
(+.f64 (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (log1p.f64 (exp.f64 x))) (.f64 (fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 x y) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (*.f64 x y)))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)))
(fabs.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64) (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 3 binary64))))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))
(*.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))

eval160.0ms (2%)

Memory: -4.4MiB live, 317.3MiB allocated; 84ms collecting garbage
Compiler: Compiled 34 594 to 2 865 computations (91.7% saved)

prune49.0ms (0.6%)

Memory

-11.2MiB live, 91.5MiB allocated; 33ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	784	9	793
Fresh	3	0	3
Picked	1	4	5
Done	0	0	0
Total	788	13	801

Accuracy

99.4%

Counts

801 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	89.3%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	73.5%	#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))))
	53.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
	78.0%	#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))))
✓	83.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	49.6%	#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))))
	64.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))
✓	51.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	83.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
▶	83.5%	#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)))
▶	36.4%	#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)))
	49.2%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 483 to 376 computations (22.2% saved)

simplify130.0ms (1.6%)

Memory

46.0MiB live, 131.5MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	280
0	57	280
1	86	280
2	138	280
3	240	280
4	528	280
5	2172	274
6	6627	274
0	8069	257

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (1.2%)

Memory

-31.7MiB live, 115.2MiB allocated; 29ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
accuracy	0.13671875	(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
accuracy	5.6826574160246555	(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
accuracy	10.558568416894985	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
accuracy	0.00390625	(-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y)
accuracy	0.10546875	(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
accuracy	0.20703125	(/.f64 (log.f64 #s(literal 2 binary64)) x)
accuracy	10.558568416894985	#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)))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.01171875	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy	10.558568416894985	#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	31.73573109800453	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	10.558568416894985	#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	30.834496520250894	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy	0.9760865232432661	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy	22.221829324509446	#s(approx (exp x) #s(literal 1 binary64))

Samples

73.0ms

256×

valid

Compiler

Compiled 187 to 27 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 21.0ms (50.5% of total)

ival-add: 4.0ms (9.6% of total)

ival-sub: 4.0ms (9.6% of total)

ival-div: 3.0ms (7.2% of total)

ival-exp: 2.0ms (4.8% of total)

ival-log: 2.0ms (4.8% of total)

ival-log1p: 2.0ms (4.8% of total)

ival-neg: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series153.0ms (1.9%)

Memory

-3.9MiB live, 280.2MiB allocated; 57ms collecting garbage

Counts

23 → 73

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	x	@	-inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (- (+ (/ (log 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 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (/ (log 2) x) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)))
31.0ms	x	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (- (+ (/ (log 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 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (/ (log 2) x) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)))
23.0ms	x	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (- (+ (/ (log 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 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (/ (log 2) x) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)))
18.0ms	y	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (- (+ (/ (log 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 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (/ (log 2) x) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)))
15.0ms	y	@	inf	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (* (- (+ (/ (log 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 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (/ (log 2) x) (/ (+ (* 1/2 x) (log 2)) y) (+ (* 1/2 x) (log 2)))

simplify111.0ms (1.4%)

Memory

11.4MiB live, 156.3MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	658
1	612	631
2	2125	606
3	6974	605
0	8289	541

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 73

Calls

Call 1

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

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

rewrite178.0ms (2.3%)

Memory

6.0MiB live, 234.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	253
0	57	253
1	216	253
2	1614	253
0	8298	239

Stop Event

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

Counts

23 → 286

Calls

Call 1

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

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

eval61.0ms (0.8%)

Memory: 10.8MiB live, 107.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 15 370 to 1 814 computations (88.2% saved)

prune18.0ms (0.2%)

Memory

-10.2MiB live, 35.5MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	330	8	338
Fresh	1	3	4
Picked	1	4	5
Done	0	4	4
Total	332	19	351

Accuracy

99.4%

Counts

351 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	89.3%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	73.5%	#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))))
	53.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
	78.0%	#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))))
✓	83.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	49.6%	#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))))
	52.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.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))) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))
✓	51.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	19.0%	#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 #s(literal 1/2 binary64) y))))
▶	21.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
✓	83.5%	#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)))
✓	36.4%	#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)))
	49.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
	36.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
▶	49.6%	#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)))
▶	3.5%	#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)))
▶	83.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (log.f64 #s(literal 2 binary64))))))
▶	49.2%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 836 to 620 computations (25.8% saved)

simplify156.0ms (2%)

Memory

30.0MiB live, 129.0MiB allocated; 99ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (+ (/ (log 2) x) 1/2) y) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(approx (- (+ (/ (log 2) x) 1/2) y) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) x)
cost-diff	0	#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))
cost-diff	0	#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)))
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.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 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
cost-diff	1	(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)
cost-diff	0	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
cost-diff	0	#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)))
cost-diff	0	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (log.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (log.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (log.f64 #s(literal 2 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	395
0	70	395
1	114	394
2	209	394
3	455	394
4	1167	394
5	3844	394
0	8017	370

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

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

localize127.0ms (1.6%)

Memory

-18.7MiB live, 171.3MiB allocated; 31ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(*.f64 #s(approx (- (+ (/ (log 2) x) 1/2) y) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) x)
accuracy	0.20703125	(/.f64 (log.f64 #s(literal 2 binary64)) x)
accuracy	10.558568416894985	#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)))
accuracy	22.224238772738207	#s(approx (- (+ (/ (log 2) x) 1/2) y) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	32.51226300063771	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))
accuracy	0.0078125	(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)
accuracy	10.558568416894985	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
accuracy	16.358266113555796	(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
accuracy	30.834496520250894	#s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x))
accuracy	0.0078125	(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy	10.558568416894985	#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)))
accuracy	30.834496520250894	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy	31.73573109800453	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (log.f64 #s(literal 2 binary64))))
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
accuracy	0.08203125	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (log.f64 #s(literal 2 binary64)))
accuracy	10.558568416894985	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (log.f64 #s(literal 2 binary64))))))

Samples

81.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 203 to 37 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 14.0ms (31.2% of total)

ival-div: 9.0ms (20% of total)

ival-add: 8.0ms (17.8% of total)

ival-sub: 6.0ms (13.4% of total)

ival-log1p: 3.0ms (6.7% of total)

ival-exp: 2.0ms (4.5% of total)

ival-log: 2.0ms (4.5% of total)

exact: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

series55.0ms (0.7%)

Memory

7.5MiB live, 97.0MiB allocated; 9ms collecting garbage

Counts

20 → 57

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (+ (* (+ (/ 1/2 y) -1) (* x y)) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (+ (/ (log 2) x) 1/2) y) x) (- (+ (/ (log 2) x) 1/2) y) (+ (/ 1/2 y) -1) (/ (log 2) x))
14.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (+ (* (+ (/ 1/2 y) -1) (* x y)) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (+ (/ (log 2) x) 1/2) y) x) (- (+ (/ (log 2) x) 1/2) y) (+ (/ 1/2 y) -1) (/ (log 2) x))
12.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (+ (* (+ (/ 1/2 y) -1) (* x y)) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (+ (/ (log 2) x) 1/2) y) x) (- (+ (/ (log 2) x) 1/2) y) (+ (/ 1/2 y) -1) (/ (log 2) x))
5.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (+ (* (+ (/ 1/2 y) -1) (* x y)) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (+ (/ (log 2) x) 1/2) y) x) (- (+ (/ (log 2) x) 1/2) y) (+ (/ 1/2 y) -1) (/ (log 2) x))
5.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (+ (* (+ (/ 1/2 y) -1) (* x y)) (log 2)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (* (/ (- 1/4 (* y y)) (+ 1/2 y)) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (/ (- 1/4 (* y y)) (+ 1/2 y)) (+ (* (neg y) x) (log (+ 1 (exp x)))) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (+ (/ (log 2) x) 1/2) y) x) (- (+ (/ (log 2) x) 1/2) y) (+ (/ 1/2 y) -1) (/ (log 2) x))

simplify139.0ms (1.8%)

Memory

9.0MiB live, 102.0MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	427
1	518	427
2	1729	399
3	6415	399
0	8146	353

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

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

rewrite751.0ms (9.5%)

Memory

-173.5MiB live, 233.4MiB allocated; 1.2s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	353
0	70	329
1	266	328
2	1973	328
0	9383	307

Stop Event

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

Counts

20 → 151

Calls

Call 1

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

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

eval23.0ms (0.3%)

Memory: -3.0MiB live, 42.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 610 to 967 computations (88.8% saved)

prune19.0ms (0.2%)

Memory

-7.6MiB live, 38.8MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (8 fresh and 13 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	0	6	6
Picked	0	5	5
Done	0	8	8
Total	181	21	202

Accuracy

99.4%

Counts

202 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	89.3%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
✓	73.5%	#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))))
	53.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
	78.0%	#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))))
✓	83.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓	49.6%	#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))))
	52.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.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))) (-.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))))
✓	51.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	49.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	19.0%	#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 #s(literal 1/2 binary64) y))))
✓	21.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) y)) x)))
✓	83.5%	#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)))
✓	36.4%	#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)))
	20.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
	49.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
	36.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- (/ (+ ( 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
✓	49.6%	#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)))
✓	3.5%	#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)))
✓	83.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (log.f64 #s(literal 2 binary64))))))
✓	49.2%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 1 209 to 560 computations (53.7% saved)

regimes46.0ms (0.6%)

Memory

-3.7MiB live, 52.1MiB allocated; 13ms collecting garbage

Counts

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

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

Calls

3 calls:

8.0ms	y
7.0ms	x
6.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
98.5%	1	`x`
98.5%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes18.0ms (0.2%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

3 calls:

6.0ms	y
6.0ms	x
5.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
97.8%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
98.7%	2	`x`
89.3%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes43.0ms (0.5%)

Memory

-30.5MiB live, 14.2MiB allocated; 3ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.1%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.1%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

-28.0MiB live, 16.1MiB allocated; 5ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
3.0ms	x

Results

Accuracy	Segments	Branch
97.0%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
83.4%	3	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0%)

Memory

9.6MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
96.6%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes8.0ms (0.1%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.1%	1	`x`
51.1%	1	`y`
51.1%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes6.0ms (0.1%)

Memory

-30.5MiB live, 15.9MiB allocated; 2ms collecting garbage

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:

3.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`y`
3.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch16.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-62298519001070.82	-0.13238447573984868

Samples

8.0ms

160×

valid

Compiler

Compiled 352 to 301 computations (14.5% saved)

Precisions

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

ival-exp: 2.0ms (41.5% of total)

ival-sub: 1.0ms (20.8% of total)

ival-log1p: 1.0ms (20.8% of total)

ival-mult: 1.0ms (20.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

-36.2MiB live, 19.5MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-62298519001070.82	-0.13238447573984868

Samples

6.0ms

112×

valid

Compiler

Compiled 322 to 281 computations (12.7% saved)

Precisions

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

ival-exp: 1.0ms (26.3% of total)

ival-log1p: 1.0ms (26.3% of total)

ival-mult: 1.0ms (26.3% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-62298519001070.82	-0.13238447573984868

Compiler

Compiled 242 to 221 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-62298519001070.82	-0.13238447573984868

Compiler

Compiled 262 to 241 computations (8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7206597592340561	2.580791212504436
0.0ms	0.05117097514296742	0.6288746658072224

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7206597592340561	2.580791212504436
0.0ms	0.05117097514296742	0.6288746658072224

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify49.0ms (0.6%)

Memory

4.9MiB live, 51.9MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	286
1	97	285
2	128	285
3	177	285
4	318	285
5	1654	285
6	5988	285

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -39 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.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)))))
(if (<=.f64 x #s(literal -39 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -39 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(if (<=.f64 x #s(literal -39 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -39 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 (neg.f64 x) y)) #s(approx (+ ( (neg y) x) (log (+ 1 (exp 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)))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.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)))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 (neg.f64 x) y)) #s(approx (+ ( (neg y) x) (log (+ 1 (exp x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -39 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -39 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -39 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 x #s(literal -39 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 (neg.f64 x) y)) #s(approx (+ ( (neg y) x) (log (+ 1 (exp x)))) (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 3602879701896397/36028797018963968 binary64)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3602879701896397/36028797018963968 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (.f64 (neg.f64 x) y)) #s(approx (+ ( (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

derivations662.0ms (8.4%)

Memory

25.5MiB live, 402.4MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	194
1	212	194
2	648	194
3	2113	194
4	4357	184
5	7784	184
0	8104	150
0	383	1624
1	1356	1330
2	5540	1308
0	8062	1151
0	170	658
1	612	631
2	2125	606
3	6974	605
0	8289	541
0	8	20
0	13	20
1	49	20
2	335	20
3	3391	20
0	8375	16

Stop Event

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

Compiler

Compiled 297 to 65 computations (78.1% saved)

preprocess57.0ms (0.7%)

Memory: -8.9MiB live, 82.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 664 to 182 computations (72.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze120.0ms (1.5%)

sample2.7s (34.7%)

explain109.0ms (1.4%)

preprocess261.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify157.0ms (2%)

localize21.0ms (0.3%)

series65.0ms (0.8%)

simplify186.0ms (2.4%)

rewrite164.0ms (2.1%)

eval82.0ms (1%)

prune27.0ms (0.3%)

simplify129.0ms (1.6%)

localize157.0ms (2%)

series54.0ms (0.7%)

simplify181.0ms (2.3%)

rewrite263.0ms (3.3%)

eval160.0ms (2%)

prune49.0ms (0.6%)

simplify130.0ms (1.6%)

localize93.0ms (1.2%)

series153.0ms (1.9%)

simplify111.0ms (1.4%)

rewrite178.0ms (2.3%)

eval61.0ms (0.8%)

prune18.0ms (0.2%)

simplify156.0ms (2%)

localize127.0ms (1.6%)

series55.0ms (0.7%)

simplify139.0ms (1.8%)

rewrite751.0ms (9.5%)

eval23.0ms (0.3%)

prune19.0ms (0.2%)

regimes46.0ms (0.6%)

regimes18.0ms (0.2%)

regimes43.0ms (0.5%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify49.0ms (0.6%)

derivations662.0ms (8.4%)

preprocess57.0ms (0.7%)

end0.0ms (0%)

Profiling