Metrics for Logistic regression 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze69.0ms (1%)

Memory

-16.3MiB live, 126.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.5s (22.9%)

Memory

52.9MiB live, 1 522.1MiB allocated

Samples

630.0ms	8 256×	0	valid
319.0ms	2 597×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 591.0ms

ival-exp: 141.0ms (23.8% of total)

ival-log1p: 138.0ms (23.3% of total)

ival-mult: 125.0ms (21.1% of total)

ival-sub: 114.0ms (19.3% of total)

adjust: 60.0ms (10.1% of total)

ival-true: 8.0ms (1.4% of total)

ival-assert: 5.0ms (0.8% of total)

Bogosity

explain116.0ms (1.7%)

Memory

6.9MiB live, 152.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
3	82	(-3.6147697559047176e+64 -1.0250499968647564e-290)	-	`(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	84	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))`	oflow-rescue	1	0
↳	`(exp.f64 x)`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (exp.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	2	0
-	83	171

Precision

0.023529411764705882

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	83	0	171

Precision?

0.023529411764705882

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

34.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log1p: 6.0ms (30.6% of total)

ival-exp: 4.0ms (20.4% of total)

ival-mult: 4.0ms (20.4% of total)

ival-sub: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess193.0ms (2.9%)

Memory

-8.2MiB live, 180.3MiB allocated

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
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify235.0ms (3.5%)

Memory

-25.9MiB live, 165.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize22.0ms (0.3%)

Memory

27.0MiB live, 27.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy	0.6334894436083487	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))

Samples

16.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-log1p: 3.0ms (31.7% of total)

ival-exp: 2.0ms (21.1% of total)

ival-mult: 2.0ms (21.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series82.0ms (1.2%)

Memory

-21.6MiB live, 70.2MiB allocated

Counts

5 → 25

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
20.0ms	y	@	inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
20.0ms	x	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
3.0ms	y	@	0	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))
1.0ms	y	@	-inf	((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x) (* x y))

simplify169.0ms (2.5%)

Memory

26.1MiB live, 216.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	197
1	212	197
2	648	197
3	2113	197
4	4330	187
5	7532	187
0	8555	153

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

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

rewrite248.0ms (3.7%)

Memory

6.2MiB live, 328.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	13	23
1	49	23
2	335	23
3	3391	23
0	8375	19

Stop Event

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

Counts

5 → 295

Calls

Call 1

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

Outputs
(*.f64 (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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(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 x) y) (neg.f64 x))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 y y)) (sqrt.f64 (*.f64 x x)))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 (*.f64 y y)))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 y (*.f64 (neg.f64 x) y))))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (neg.f64 x) (*.f64 (neg.f64 x) y))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (*.f64 x x) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 y y) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 y))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (.f64 y x))) (sinh.f64 (log.f64 (.f64 y x))))
(log.f64 (pow.f64 (exp.f64 x) y))

eval42.0ms (0.6%)

Memory: 9.0MiB live, 108.5MiB allocated
Compiler: Compiled 7 258 to 1 299 computations (82.1% saved)

prune10.0ms (0.1%)

Memory

-10.2MiB live, 36.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	308	8	316
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	309	8	317

Accuracy

99.7%

Counts

317 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
	99.6%	(-.f64 (fma.f64 (neg.f64 y) x (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))
▶	66.4%	(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
▶	24.8%	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y)))
	91.4%	(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
	78.4%	#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))))
▶	85.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶	49.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))

Compiler

Compiled 230 to 182 computations (20.9% saved)

simplify175.0ms (2.6%)

Memory

17.0MiB live, 245.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (log1p.f64 (exp.f64 x)))
cost-diff	0	(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
cost-diff	0	(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
cost-diff	8	(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
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 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y)))
cost-diff	2	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
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	35	167
0	60	151
1	99	151
2	186	151
3	453	151
4	2265	151
5	6121	151
0	8097	151

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)
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 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 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
(sqrt.f64 (.f64 (.f64 x x) y))
(.f64 (.f64 x x) y)
(*.f64 x x)
y
(sqrt.f64 y)
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(*.f64 x y)
y

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

localize687.0ms (10.3%)

Memory

-202.5MiB live, 124.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
accuracy	0.00390625	(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
accuracy	0.00390625	(log.f64 (log1p.f64 (exp.f64 x)))
accuracy	0.3125	(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
accuracy	0.0078125	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y)))
accuracy	0.09212875976844201	(.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
accuracy	2.778856771710829	(.f64 (.f64 x x) y)
accuracy	5.694753874300317	(sqrt.f64 (.f64 (.f64 x x) y))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy	0.006191259768442017	#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	14.363258877540494	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(log1p.f64 (exp.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.00390625	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))

Samples

32.0ms	136×	invalid
19.0ms	81×	valid
9.0ms	39×	exit

Compiler

Compiled 186 to 32 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 11.0ms (25.4% of total)

ival-log: 6.0ms (13.8% of total)

ival-add: 5.0ms (11.5% of total)

ival-sub: 5.0ms (11.5% of total)

ival-cosh: 4.0ms (9.2% of total)

ival-log1p: 3.0ms (6.9% of total)

ival-sqrt: 3.0ms (6.9% of total)

ival-exp: 2.0ms (4.6% of total)

ival-sinh: 2.0ms (4.6% of total)

ival-neg: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series115.0ms (1.7%)

Memory

-0.9MiB live, 140.9MiB allocated

Counts

22 → 80

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))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(sqrt.f64 (.f64 (.f64 x x) y))
(.f64 (.f64 x x) y)
(.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))

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)
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1 (/ (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))) y))))
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(* 1/2 (+ (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) (* 1/2 (+ (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (* x (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))
(log (log 2))
(+ (log (log 2)) (* 1/2 (/ x (log 2))))
(+ (log (log 2)) (* x (+ (* 1/2 (* x (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (* 1/2 (/ 1 (log 2))))))
(+ (log (log 2)) (* x (+ (* x (+ (* 1/6 (* x (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))))) (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))))) (* 1/2 (/ 1 (log 2))))))
(* x (sqrt y))
(* (pow x 2) y)
(* x y)
(* 1/2 (- (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3))))))) (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1 (/ (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2)))))))) (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))))))))
(* 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 (exp x))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(log (log (+ 1 (exp x))))
(* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp 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 (- (* -1 (/ (log (+ 1 (exp x))) x)) y)))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(* -1 (* x (sqrt y)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* -1 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) 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 (- 1 (* 1/2 (/ 1 y)))))
(* x (* y (pow (sqrt -1) 2)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* x (* y (pow (sqrt -1) 2))))

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	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))) (- (log (+ 1 (exp x))) (* (sqrt (* (* x x) y)) (sqrt y))) (+ 1 (exp x)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sqrt (* (* x x) y)) (* (* x x) y) (* (sqrt (* (* x x) y)) (sqrt y)) (sinh (log (log (+ 1 (exp x))))))
30.0ms	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))) (- (log (+ 1 (exp x))) (* (sqrt (* (* x x) y)) (sqrt y))) (+ 1 (exp x)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sqrt (* (* x x) y)) (* (* x x) y) (* (sqrt (* (* x x) y)) (sqrt y)) (sinh (log (log (+ 1 (exp x))))))
14.0ms	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))) (- (log (+ 1 (exp x))) (* (sqrt (* (* x x) y)) (sqrt y))) (+ 1 (exp x)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sqrt (* (* x x) y)) (* (* x x) y) (* (sqrt (* (* x x) y)) (sqrt y)) (sinh (log (log (+ 1 (exp x))))))
11.0ms	x	@	0	((+ (* (neg y) x) (log (+ 1 (exp x)))) (neg y) (log (+ 1 (exp x))) (exp x) (- (log (+ 1 (exp x))) (* x y)) (* (neg 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))) (- (log (+ 1 (exp x))) (* (sqrt (* (* x x) y)) (sqrt y))) (+ 1 (exp x)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sqrt (* (* x x) y)) (* (* x x) y) (* (sqrt (* (* x x) y)) (sqrt y)) (sinh (log (log (+ 1 (exp x))))))
8.0ms	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))) (- (log (+ 1 (exp x))) (* (sqrt (* (* x x) y)) (sqrt y))) (+ 1 (exp x)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (sqrt (* (* x x) y)) (* (* x x) y) (* (sqrt (* (* x x) y)) (sqrt y)) (sinh (log (log (+ 1 (exp x))))))

simplify175.0ms (2.6%)

Memory

37.4MiB live, 226.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	2769
1	1233	2638
2	4710	2566
0	8232	2350

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 80

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)
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))))
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(* x (sqrt y))
(* (pow x 2) y)
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Outputs
(log 2)
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(+ (log 2) (* x (+ 1/2 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
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(fma.f64 (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (log.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))))))) x (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) x (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) x (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(exp x)
(exp.f64 x)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) x) #s(literal -1/2 binary64) y))
(* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))
(log (log (+ 1 (exp x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64))
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) y)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 x)) y))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) x) #s(literal -1/2 binary64) y))
(* -1 (* x (sqrt y)))
(*.f64 (neg.f64 x) (sqrt.f64 y))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 y)
(neg.f64 y)
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) y) #s(literal 1/2 binary64) (neg.f64 x)) y)
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) x)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* x (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) y) #s(literal 1/2 binary64) (neg.f64 x)) y)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* -1 (* x (* y (pow (sqrt -1) 2))))
(*.f64 x y)

rewrite174.0ms (2.6%)

Memory

5.8MiB live, 243.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	139
0	60	112
1	202	111
2	1374	106
0	9171	101

Stop Event

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

Counts

22 → 665

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))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(sqrt.f64 (.f64 (.f64 x x) y))
(.f64 (.f64 x x) y)
(.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))

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

eval76.0ms (1.1%)

Memory: -1.6MiB live, 138.2MiB allocated
Compiler: Compiled 20 161 to 2 363 computations (88.3% saved)

prune20.0ms (0.3%)

Memory

7.9MiB live, 53.5MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	621	14	635
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	626	17	643

Accuracy

99.7%

Counts

643 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
	91.4%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	51.0%	(fma.f64 y x (log1p.f64 (exp.f64 x)))
	78.4%	#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))))
▶	52.2%	#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))))
▶	99.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
▶	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) y))
	17.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (.f64 x y) (.f64 (sqrt.f64 y) x))) (sqrt.f64 (sqrt.f64 y))))
▶	2.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x)))
	1.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y))))
✓	49.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	21.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (fabs.f64 (.f64 (sqrt.f64 y) x)) (fabs.f64 (sqrt.f64 y))))
▶	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
	85.6%	#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)))
	36.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
	51.9%	#s(approx (+ (* (neg y) x) (log (+ 1 (exp x)))) (log.f64 #s(literal 2 binary64)))

Compiler

Compiled 553 to 423 computations (23.5% saved)

simplify120.0ms (1.8%)

Memory

5.4MiB live, 144.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	171
0	50	163
1	71	163
2	102	163
3	170	163
4	447	163
5	1972	163
6	6121	163
0	8175	163

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
(.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(*.f64 y x)
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 y x) y))))
(.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 y x) y)))
(sqrt.f64 (.f64 (.f64 x y) y))
(sqrt.f64 (.f64 (.f64 y x) y))
(.f64 (.f64 x y) y)
(.f64 (.f64 y x) y)
(*.f64 x y)
(*.f64 y x)
x
y
(sqrt.f64 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)

localize71.0ms (1.1%)

Memory

2.0MiB live, 89.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy	0.006191259768442017	#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	5.256123571925874	#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy	0.02734375	(.f64 (.f64 x y) y)
accuracy	0.046875	(.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x))
accuracy	3.164430782690361	(sqrt.f64 (.f64 (.f64 x y) y))
accuracy	9.132970442583806	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x)))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.02734375	(*.f64 (sqrt.f64 y) x)
accuracy	0.045253759768442016	(.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y))
accuracy	9.132970442583806	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
accuracy	0.0	(*.f64 y x)
accuracy	9.132970442583806	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
accuracy	0.0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
accuracy	0.00390625	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
accuracy	0.02734375	(/.f64 (log1p.f64 (exp.f64 x)) x)
accuracy	0.03125	(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)

Samples

49.0ms	218×	0	invalid
7.0ms	38×	0	valid

Compiler

Compiled 146 to 25 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 17.0ms (41.8% of total)

ival-sqrt: 8.0ms (19.7% of total)

ival-sub: 4.0ms (9.8% of total)

ival-log: 3.0ms (7.4% of total)

ival-log1p: 3.0ms (7.4% of total)

ival-div: 2.0ms (4.9% of total)

ival-exp: 2.0ms (4.9% of total)

ival-add: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.9%)

Memory

-11.1MiB live, 86.1MiB allocated

Counts

18 → 49

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
(*.f64 y x)
(.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) 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))

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (* y x) (* (* (sqrt y) x) (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt y) x) (sqrt y) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt (* (* x y) y)) (sqrt x)) (sqrt (* (* x y) y)) (* (* x y) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2))
21.0ms	x	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (* y x) (* (* (sqrt y) x) (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt y) x) (sqrt y) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt (* (* x y) y)) (sqrt x)) (sqrt (* (* x y) y)) (* (* x y) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2))
4.0ms	y	@	-inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (* y x) (* (* (sqrt y) x) (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt y) x) (sqrt y) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt (* (* x y) y)) (sqrt x)) (sqrt (* (* x y) y)) (* (* x y) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2))
4.0ms	y	@	0	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (* y x) (* (* (sqrt y) x) (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt y) x) (sqrt y) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt (* (* x y) y)) (sqrt x)) (sqrt (* (* x y) y)) (* (* x y) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2))
4.0ms	y	@	inf	((- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (- (log (+ 1 (exp x))) (* x y)) (* y x) (* (* (sqrt y) x) (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt y) x) (sqrt y) (- (log (+ 1 (exp x))) (* x y)) (* (sqrt (* (* x y) y)) (sqrt x)) (sqrt (* (* x y) y)) (* (* x y) y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2))

simplify239.0ms (3.6%)

Memory

3.9MiB live, 241.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	406
1	411	402
2	1282	383
3	5420	379
0	8530	330

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

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

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

rewrite258.0ms (3.9%)

Memory

26.2MiB live, 210.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	150
0	50	130
1	141	130
2	791	128
3	7858	128
0	8197	128

Stop Event

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

Counts

18 → 289

Calls

Call 1

Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(/.f64 (log1p.f64 (exp.f64 x)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
(*.f64 y x)
(.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 x y) y))
(.f64 (.f64 x y) 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))

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

eval41.0ms (0.6%)

Memory: -35.9MiB live, 53.2MiB allocated
Compiler: Compiled 9 727 to 992 computations (89.8% saved)

prune17.0ms (0.3%)

Memory

37.6MiB live, 37.6MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	240	10	250
Fresh	4	6	10
Picked	0	5	5
Done	0	2	2
Total	244	23	267

Accuracy

99.7%

Counts

267 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
▶	91.4%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	78.4%	#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))))
✓	52.2%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
	50.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (log.f64 #s(literal 2 binary64))) (pow.f64 (.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 4 binary64)))))
✓	99.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
▶	85.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) x))
✓	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) y))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 x)))
	1.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 y y) x)) (sqrt.f64 x)))
	17.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (.f64 x y) (.f64 (sqrt.f64 y) x))) (sqrt.f64 (sqrt.f64 y))))
✓	2.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x)))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y)))
▶	25.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y))))
	1.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x))))
✓	49.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶	21.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (fabs.f64 (.f64 (sqrt.f64 y) x)) (fabs.f64 (sqrt.f64 y))))
	7.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (sqrt ( (* x y) y)) (*.f64 (neg.f64 y) (sqrt.f64 x))) (sqrt.f64 x)))
✓	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
	52.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	51.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶	36.0%	#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)))

Compiler

Compiled 872 to 561 computations (35.7% saved)

simplify116.0ms (1.7%)

Memory

1.5MiB live, 149.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))
cost-diff	0	(-.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y)
cost-diff	0	(*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.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)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) x))
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	(sqrt.f64 (*.f64 (neg.f64 x) y))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y))))
cost-diff	7	(.f64 (sqrt.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)))
cost-diff	0	(fabs.f64 (*.f64 (sqrt.f64 y) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (fabs.f64 (.f64 (sqrt.f64 y) x)) (fabs.f64 (sqrt.f64 y))))
cost-diff	1	(fabs.f64 (sqrt.f64 y))
cost-diff	4	(.f64 (fabs.f64 (.f64 (sqrt.f64 y) x)) (fabs.f64 (sqrt.f64 y)))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
cost-diff	0	#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	42	253
0	63	238
1	96	228
2	171	228
3	307	228
4	645	228
5	2134	228
6	6271	228
0	8294	210

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

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

localize125.0ms (1.9%)

Memory

-14.9MiB live, 128.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) x))
accuracy	0.015625	(*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) x)
accuracy	0.08203125	(/.f64 (log.f64 #s(literal 2 binary64)) x)
accuracy	9.444882811549085	#s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	0.0859375	(.f64 (sqrt.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)))
accuracy	5.128748159606693	(sqrt.f64 (*.f64 (neg.f64 x) y))
accuracy	7.159017803257185	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y))))
accuracy	0.0	(fabs.f64 (sqrt.f64 y))
accuracy	0.06640625	(*.f64 (sqrt.f64 y) x)
accuracy	0.07421875	(.f64 (fabs.f64 (.f64 (sqrt.f64 y) x)) (fabs.f64 (sqrt.f64 y)))
accuracy	7.159017803257185	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (fabs.f64 (.f64 (sqrt.f64 y) x)) (fabs.f64 (sqrt.f64 y))))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy	3.9608015513179886	#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	7.2938329292226	#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.0	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
accuracy	0.0	(neg.f64 y)
accuracy	0.0	(log1p.f64 #s(approx (exp x) #s(literal 1 binary64)))
accuracy	9.518126992005422	#s(approx (exp x) #s(literal 1 binary64))

Samples

58.0ms	174×	0	invalid
46.0ms	82×	0	valid

Compiler

Compiled 171 to 33 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 40.0ms (52.7% of total)

ival-sub: 14.0ms (18.5% of total)

ival-div: 3.0ms (4% of total)

ival-log: 3.0ms (4% of total)

ival-log1p: 3.0ms (4% of total)

ival-sqrt: 3.0ms (4% of total)

ival-exp: 2.0ms (2.6% of total)

ival-add: 2.0ms (2.6% of total)

ival-fabs: 2.0ms (2.6% of total)

ival-neg: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

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

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

series150.0ms (2.3%)

Memory

-25.7MiB live, 164.2MiB allocated

Counts

23 → 65

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

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))
(* (fabs (sqrt y)) (fabs (* x (sqrt y))))
(fabs (* x (sqrt y)))
(* x (* y (pow (sqrt -1) 2)))
(* (sqrt (* x y)) (sqrt -1))
(* -1 (* x y))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)
(/ (+ (log 2) (* 1/2 x)) x)
(/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x)
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x)
(* x (sqrt y))
(* -1 x)
(* 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 y)
(- (/ (log (+ 1 (exp x))) x) y)
(/ (log (+ 1 (exp x))) 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 (* (sqrt (* x y)) (sqrt -1)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(fabs (sqrt y))
(+ (* -1 y) (/ (log (+ 1 (exp x))) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* -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)))))
(* (fabs (* (sqrt y) (pow (sqrt -1) 2))) (fabs (* (* x (pow (sqrt -1) 2)) (sqrt y))))
(fabs (* (sqrt y) (pow (sqrt -1) 2)))
(fabs (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))

Calls

6 calls:

Time	Variable		Point	Expression
67.0ms	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) (* (fabs (* (sqrt y) x)) (fabs (sqrt y))) (fabs (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (fabs (* (sqrt y) x)) (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) (- (log (+ 1 (exp x))) (* x y)) (sqrt (* (neg x) y)) (* (neg x) y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (* (sqrt y) x) (neg x) (/ (log 2) x))
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) (* (fabs (* (sqrt y) x)) (fabs (sqrt y))) (fabs (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (fabs (* (sqrt y) x)) (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) (- (log (+ 1 (exp x))) (* x y)) (sqrt (* (neg x) y)) (* (neg x) y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (* (sqrt y) x) (neg x) (/ (log 2) x))
19.0ms	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) (* (fabs (* (sqrt y) x)) (fabs (sqrt y))) (fabs (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (fabs (* (sqrt y) x)) (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) (- (log (+ 1 (exp x))) (* x y)) (sqrt (* (neg x) y)) (* (neg x) y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (* (sqrt y) x) (neg x) (/ (log 2) x))
19.0ms	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) (* (fabs (* (sqrt y) x)) (fabs (sqrt y))) (fabs (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (fabs (* (sqrt y) x)) (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) (- (log (+ 1 (exp x))) (* x y)) (sqrt (* (neg x) y)) (* (neg x) y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (* (sqrt y) x) (neg x) (/ (log 2) x))
17.0ms	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) (* (fabs (* (sqrt y) x)) (fabs (sqrt y))) (fabs (sqrt y)) (- (log (+ 1 (exp x))) (* x y)) (fabs (* (sqrt y) x)) (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) (- (log (+ 1 (exp x))) (* x y)) (sqrt (* (neg x) y)) (* (neg x) y) (- (log (+ 1 (exp x))) (* x y)) (* (- (/ (log (+ 1 (exp x))) x) y) x) (- (/ (log (+ 1 (exp x))) x) y) (/ (log (+ 1 (exp x))) x) (* (sqrt y) x) (neg x) (/ (log 2) x))

simplify21.0ms (0.3%)

Memory

41.2MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	612
0	532	540

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

65 → 65

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))
(* (fabs (sqrt y)) (fabs (* x (sqrt y))))
(fabs (* x (sqrt y)))
(* x (* y (pow (sqrt -1) 2)))
(* (sqrt (* x y)) (sqrt -1))
(* -1 (* x y))
(/ (log 2) x)
(/ (+ (log 2) (* x (- 1/2 y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) x)
(/ (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) x)
(/ (+ (log 2) (* 1/2 x)) x)
(/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) x)
(/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) x)
(* x (sqrt y))
(* -1 x)
(* 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 y)
(- (/ (log (+ 1 (exp x))) x) y)
(/ (log (+ 1 (exp x))) 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 (* (sqrt (* x y)) (sqrt -1)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(fabs (sqrt y))
(+ (* -1 y) (/ (log (+ 1 (exp x))) x))
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (- (/ (log (+ 1 (exp x))) (* x y)) 1))
(* -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)))))
(* (fabs (* (sqrt y) (pow (sqrt -1) 2))) (fabs (* (* x (pow (sqrt -1) 2)) (sqrt y))))
(fabs (* (sqrt y) (pow (sqrt -1) 2)))
(fabs (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* y (+ 1 (* -1 (/ (log (+ 1 (exp x))) (* x y))))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))

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

rewrite140.0ms (2.1%)

Memory

-0.5MiB live, 189.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	229
0	63	224
1	214	203
2	1343	197
0	8295	174

Stop Event

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

Counts

23 → 451

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

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

eval40.0ms (0.6%)

Memory: 4.9MiB live, 50.8MiB allocated
Compiler: Compiled 13 580 to 1 550 computations (88.6% saved)

prune36.0ms (0.5%)

Memory

-9.8MiB live, 35.6MiB allocated

Pruning

31 alts after pruning (20 fresh and 11 done)

	Pruned	Kept	Total
New	436	11	447
Fresh	2	9	11
Picked	1	4	5
Done	0	7	7
Total	439	31	470

Accuracy

99.7%

Counts

470 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
✓	91.4%	(fma.f64 (neg.f64 y) x (log1p.f64 #s(approx (exp x) #s(literal 1 binary64))))
	78.4%	#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))))
✓	52.2%	#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))))
	22.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
	11.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (/.f64 (-.f64 (.f64 (pow.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 y (+.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 y (+.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (fma.f64 y (+.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) (pow.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))))) x))
✓	99.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x))
✓	85.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 #s(approx (/ (log (+ 1 (exp x))) x) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) y) x))
	20.8%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) (sqrt.f64 (*.f64 (neg.f64 x) y))))
✓	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y)))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) y))
	1.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 x)))
	17.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (.f64 x y) (.f64 (sqrt.f64 y) x))) (sqrt.f64 (sqrt.f64 y))))
✓	2.7%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x y) y)) (sqrt.f64 x)))
	17.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x y) x)) (fabs.f64 (sqrt.f64 y))))
	14.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (*.f64 x x) y)) (sqrt.f64 y)))
✓	25.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y))))
	1.6%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x))))
✓	49.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
	21.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (fabs.f64 (.f64 (sqrt.f64 y) x)) (sqrt.f64 y)))
	7.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 #s(approx (sqrt ( (* x y) y)) (*.f64 (neg.f64 y) (sqrt.f64 x))) (sqrt.f64 x)))
✓	2.3%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 y x))
	52.1%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log1p.f64 (exp.f64 x)))
	51.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
	21.3%	#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))))
	11.5%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) y)) (.f64 (+.f64 #s(literal 1/2 binary64) y) (.f64 y y))) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal 1/2 binary64) y))) x)))
✓	36.0%	#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)))
	36.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (.f64 #s(approx (- 1/2 y) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)) x)))
	3.4%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
	36.0%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (fma.f64 (neg.f64 x) y (*.f64 #s(literal 1/2 binary64) x)))))
	35.9%	#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (neg.f64 x)) y))))

Compiler

Compiled 1 985 to 708 computations (64.3% saved)

regimes38.0ms (0.6%)

Memory

0.4MiB live, 55.4MiB allocated

Counts

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

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

Calls

3 calls:

15.0ms	y
11.0ms	x
10.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes30.0ms (0.5%)

Memory

10.3MiB live, 54.1MiB allocated

Counts

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

12.0ms	y
9.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.4%	2	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
99.3%	2	`x`
91.4%	1	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes40.0ms (0.6%)

Memory

-35.1MiB live, 10.7MiB allocated

Counts

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

39.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

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

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

Results

Accuracy	Segments	Branch
97.9%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`
84.0%	2	`x`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes7.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

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

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:

6.0ms

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

Results

Accuracy	Segments	Branch
97.7%	3	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes21.0ms (0.3%)

Memory

-14.8MiB live, 31.1MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.5%	1	`x`
49.5%	1	`y`
49.5%	1	`(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total -1.0b remaining (-1.7%)

Threshold costs -1b (-1.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch12.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-12970.24173995324	-309.05208069196965

Samples

6.0ms

112×

valid

Compiler

Compiled 250 to 214 computations (14.4% saved)

Precisions

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

ival-sub: 1.0ms (28.8% of total)

ival-exp: 1.0ms (28.8% of total)

ival-log1p: 1.0ms (28.8% of total)

ival-mult: 1.0ms (28.8% of total)

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

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

bsearch21.0ms (0.3%)

Memory

-42.8MiB live, 12.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-27.874244507799673	-3.929947708866867e-9

Samples

13.0ms

160×

valid

Compiler

Compiled 322 to 281 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 2.0ms (33.8% of total)

ival-log1p: 2.0ms (33.8% of total)

ival-sub: 1.0ms (16.9% of total)

ival-mult: 1.0ms (16.9% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-12970.24173995324	-309.05208069196965

Compiler

Compiled 187 to 172 computations (8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.693147841619457	36.74891594294821
0.0ms	7.840394640460718e-13	0.6928145581937452

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.693147841619457	36.74891594294821
0.0ms	9.415731454858609e-67	7.840394640460718e-13

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify46.0ms (0.7%)

Memory

12.3MiB live, 58.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	259
1	96	258
2	127	258
3	176	258
4	317	258
5	1653	258
6	5946	258

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 -310 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 -3152519739159347/2251799813685248 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 -310 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 4951760157141521/4951760157141521099596496896 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 3794275180128377/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 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 -310 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 -3152519739159347/2251799813685248 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 -310 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 4951760157141521/4951760157141521099596496896 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 4951760157141521/4951760157141521099596496896 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 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)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 3794275180128377/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 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 3794275180128377/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) ( x y)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 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)))

soundness756.0ms (11.3%)

Memory

21.7MiB live, 442.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	197
1	212	197
2	648	197
3	2113	197
4	4330	187
5	7532	187
0	8555	153
0	8	23
0	13	23
1	49	23
2	335	23
3	3391	23
0	8375	19
0	153	612
0	532	540
0	340	2769
1	1233	2638
2	4710	2566
0	8232	2350

Stop Event

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

Compiler

Compiled 408 to 184 computations (54.9% saved)

preprocess100.0ms (1.5%)

Memory: -30.5MiB live, 116.6MiB allocated
Compiler: Compiled 586 to 178 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze69.0ms (1%)

sample1.5s (22.9%)

explain116.0ms (1.7%)

preprocess193.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify235.0ms (3.5%)

localize22.0ms (0.3%)

series82.0ms (1.2%)

simplify169.0ms (2.5%)

rewrite248.0ms (3.7%)

eval42.0ms (0.6%)

prune10.0ms (0.1%)

simplify175.0ms (2.6%)

localize687.0ms (10.3%)

series115.0ms (1.7%)

simplify175.0ms (2.6%)

rewrite174.0ms (2.6%)

eval76.0ms (1.1%)

prune20.0ms (0.3%)

simplify120.0ms (1.8%)

localize71.0ms (1.1%)

series61.0ms (0.9%)

simplify239.0ms (3.6%)

rewrite258.0ms (3.9%)

eval41.0ms (0.6%)

prune17.0ms (0.3%)

simplify116.0ms (1.7%)

localize125.0ms (1.9%)

series150.0ms (2.3%)

simplify21.0ms (0.3%)

rewrite140.0ms (2.1%)

eval40.0ms (0.6%)

prune36.0ms (0.5%)

regimes38.0ms (0.6%)

regimes30.0ms (0.5%)

regimes40.0ms (0.6%)

regimes9.0ms (0.1%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes21.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch21.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify46.0ms (0.7%)

soundness756.0ms (11.3%)

preprocess100.0ms (1.5%)

end0.0ms (0%)

Profiling