Metrics for Logistic function from Lakshay Garg

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.2s (20.2%)

Memory

358.5MiB live, 358.5MiB allocated

Samples

385.0ms	1 551×	2	valid
292.0ms	2 418×	1	valid
210.0ms	4 287×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 684.0ms

ival-exp: 321.0ms (46.9% of total)

ival-div: 86.0ms (12.6% of total)

adjust: 80.0ms (11.7% of total)

ival-add: 62.0ms (9.1% of total)

ival-sub: 59.0ms (8.6% of total)

ival-mult: 56.0ms (8.2% of total)

exact: 10.0ms (1.5% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain160.0ms (2.8%)

Memory

74.0MiB live, 74.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
123	0	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	1	(-52.96640557350991 -4.582416669157546e+63)	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`	cancellation	123	0
`exp.f64`	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	123	0
-	1	132

Precision

0.9919354838709677

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	0
-	1	0	132

Precision?

0.9919354838709677

Recall?

1.0

Freqs

test

number	freq
0	132
1	124

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms	92×	2	valid
20.0ms	146×	1	valid
17.0ms	274×	0	valid

Compiler

Compiled 154 to 75 computations (51.3% saved)

Precisions

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

ival-exp: 20.0ms (46.1% of total)

adjust: 5.0ms (11.5% of total)

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

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

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

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

exact: 1.0ms (2.3% of total)

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

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

preprocess25.0ms (0.4%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Stop Event

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

Calls

Call 1

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

Outputs

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

(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))

Symmetry

(abs y)

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	23	35
2	26	35
0	26	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.7%)

Memory

12.5MiB live, 12.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.01171875	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.0234375	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
accuracy	28.289192024430335	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

13.0ms	46×	2	valid
10.0ms	73×	1	valid
8.0ms	137×	0	valid

Compiler

Compiled 72 to 22 computations (69.4% saved)

Precisions

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

ival-exp: 10.0ms (47.5% of total)

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

adjust: 2.0ms (9.5% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

5 → 20

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -2 x)
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
2.0ms	x	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
1.0ms	x	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
0.0ms	y	@	0	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))
0.0ms	y	@	inf	((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x)))

simplify175.0ms (3%)

Memory

31.8MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	164
1	119	164
2	234	154
3	604	154
4	1200	154
5	1777	154
6	2034	154
7	2609	154
8	3678	154
9	5741	154
10	6674	154
11	7080	154
12	7222	154
13	7282	154
14	7322	154
0	8037	133

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -2 x)
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))

rewrite114.0ms (2%)

Memory

43.5MiB live, 43.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	14	31
1	53	31
2	371	31
3	5969	31
0	8136	31

Stop Event

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

Counts

5 → 305

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -6 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -12 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) (expm1.f64 (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 #s(literal -4 binary64) x)) (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (expm1.f64 (.f64 #s(literal -4 binary64) x)) (expm1.f64 (.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -8 binary64))) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -12 binary64))) (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -18 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 #s(literal -4 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (pow.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)))
(*.f64 #s(literal -2 binary64) x)
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 #s(literal -4 binary64) (.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 #s(literal -2 binary64) (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 x #s(literal -2 binary64)))

eval34.0ms (0.6%)

Memory: 29.4MiB live, 29.4MiB allocated
Compiler: Compiled 7 921 to 1 122 computations (85.8% saved)

prune12.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	316	8	324
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	316	9	325

Accuracy

100.0%

Counts

325 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.6%	(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
✓	55.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	29.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	29.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	29.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	55.8%	(expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
	48.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 258 to 234 computations (9.3% saved)

simplify88.0ms (1.5%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))
cost-diff	128	(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
cost-diff	6208	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
cost-diff	0	(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64)))
cost-diff	0	(expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff	320	(*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	251
0	62	251
1	94	249
2	153	249
3	291	247
4	510	247
5	724	247
6	1173	247
7	1858	247
8	2137	247
9	2220	247
10	2280	247
11	2368	247
12	2427	247
13	2442	247
14	2459	247
15	2466	247
16	2466	247
0	2466	244

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize178.0ms (3.1%)

Memory

45.0MiB live, 45.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.058893810925979805	(pow.f64 (exp.f64 x) #s(literal -4 binary64))
accuracy	28.214342233726303	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
accuracy	28.23818656418433	(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
accuracy	29.05455145633811	(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
accuracy	0.0703125	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	17.167499988058537	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	28.289192024430335	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
accuracy	0.0234375	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
accuracy	17.33581266193547	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy	28.289192024430335	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	14.84980720645077	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64))
accuracy	28.289192024430335	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.01171875	(expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy	0.033535009768442016	(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	0.24206970339242018	(log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
accuracy	28.252770368846484	(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64)))

Samples

57.0ms	74×	1	valid
51.0ms	46×	2	valid
21.0ms	73×	0	valid
18.0ms	63×	0	exit

Compiler

Compiled 470 to 74 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-exp: 25.0ms (21.4% of total)

adjust: 12.0ms (10.3% of total)

ival-pow: 12.0ms (10.3% of total)

ival-mult: 12.0ms (10.3% of total)

ival-expm1: 11.0ms (9.4% of total)

ival-log1p: 9.0ms (7.7% of total)

ival-add: 9.0ms (7.7% of total)

ival-sub: 8.0ms (6.9% of total)

ival-log: 7.0ms (6% of total)

ival-div: 5.0ms (4.3% of total)

const: 4.0ms (3.4% of total)

exact: 1.0ms (0.9% of total)

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

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

series84.0ms (1.5%)

Memory

29.2MiB live, 29.2MiB allocated

Counts

21 → 68

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(log 2)
(+ (log 2) (* -1 x))
(+ (log 2) (* x (- (* 1/2 x) 1)))
(+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 2 x)
(* x (+ 2 (* -2 x)))
(* x (+ 2 (* x (- (* 4/3 x) 2))))
(* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))
(/ 1/2 x)
(/ (+ 1/2 x) x)
(/ (+ 1/2 (* x (+ 1 (* 2/3 x)))) x)
(/ (+ 1/2 (* x (+ 1 (* x (+ 2/3 (* -8/45 (pow x 2))))))) x)
(* 4 x)
(* x (+ 4 (* -8 x)))
(* x (+ 4 (* x (- (* 32/3 x) 8))))
(* x (+ 4 (* x (- (* x (+ 32/3 (* -32/3 x))) 8))))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 2 (* -4/3 x))
(+ 1 (* -4 x))
(+ 1 (* x (- (* 8 x) 4)))
(+ 1 (* x (- (* x (+ 8 (* -32/3 x))) 4)))
(* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))
(- (exp (* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))) 1)
(- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2))
(log (+ 1 (/ 1 (pow (exp x) 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(- 1 (/ 1 (pow (exp x) 2)))
(- (* 2 (/ (- 1 (/ 1 (pow (exp x) 2))) (- 1 (/ 1 (pow (exp x) 4))))) 1)
(/ 2 (- 1 (/ 1 (pow (exp x) 4))))
(- 1 (/ 1 (pow (exp x) 4)))
(/ 1 (pow (exp x) 2))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(/ 1 (pow (exp x) 4))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	x	@	inf	((* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (log (+ 1 (pow (exp x) -2))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- 1 (pow (exp x) -2)) (+ (* (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -2))) -1) (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -4)) (pow (exp x) -2) (+ (* -4/3 x) 2) (pow (exp x) -4))
27.0ms	x	@	-inf	((* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (log (+ 1 (pow (exp x) -2))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- 1 (pow (exp x) -2)) (+ (* (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -2))) -1) (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -4)) (pow (exp x) -2) (+ (* -4/3 x) 2) (pow (exp x) -4))
5.0ms	x	@	0	((* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (log (+ 1 (pow (exp x) -2))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- 1 (pow (exp x) -2)) (+ (* (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -2))) -1) (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -4)) (pow (exp x) -2) (+ (* -4/3 x) 2) (pow (exp x) -4))
0.0ms	y	@	0	((* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (log (+ 1 (pow (exp x) -2))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- 1 (pow (exp x) -2)) (+ (* (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -2))) -1) (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -4)) (pow (exp x) -2) (+ (* -4/3 x) 2) (pow (exp x) -4))
0.0ms	y	@	inf	((* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (log (+ 1 (pow (exp x) -2))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- 1 (pow (exp x) -2)) (+ (* (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -2))) -1) (/ 2 (- 1 (pow (exp x) -4))) (- 1 (pow (exp x) -4)) (pow (exp x) -2) (+ (* -4/3 x) 2) (pow (exp x) -4))

simplify137.0ms (2.4%)

Memory

36.1MiB live, 36.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	646
1	551	627
2	1288	608
3	3904	594
4	7660	594
0	8220	507

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 67

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(log 2)
(+ (log 2) (* -1 x))
(+ (log 2) (* x (- (* 1/2 x) 1)))
(+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 2 x)
(* x (+ 2 (* -2 x)))
(* x (+ 2 (* x (- (* 4/3 x) 2))))
(* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))
(/ 1/2 x)
(/ (+ 1/2 x) x)
(/ (+ 1/2 (* x (+ 1 (* 2/3 x)))) x)
(/ (+ 1/2 (* x (+ 1 (* x (+ 2/3 (* -8/45 (pow x 2))))))) x)
(* 4 x)
(* x (+ 4 (* -8 x)))
(* x (+ 4 (* x (- (* 32/3 x) 8))))
(* x (+ 4 (* x (- (* x (+ 32/3 (* -32/3 x))) 8))))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 2 (* -4/3 x))
(+ 1 (* -4 x))
(+ 1 (* x (- (* 8 x) 4)))
(+ 1 (* x (- (* x (+ 8 (* -32/3 x))) 4)))
(* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))
(- (exp (* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))) 1)
(- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2))
(log (+ 1 (/ 1 (pow (exp x) 2))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(- 1 (/ 1 (pow (exp x) 2)))
(- (* 2 (/ (- 1 (/ 1 (pow (exp x) 2))) (- 1 (/ 1 (pow (exp x) 4))))) 1)
(/ 2 (- 1 (/ 1 (pow (exp x) 4))))
(- 1 (/ 1 (pow (exp x) 4)))
(/ 1 (pow (exp x) 2))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(/ 1 (pow (exp x) 4))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 x))
(-.f64 (log.f64 #s(literal 2 binary64)) x)
(+ (log 2) (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (- (* 4/3 x) 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (- (* x (+ 4/3 (* -2/3 x))) 2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 x) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) x) x)
(/ (+ 1/2 (* x (+ 1 (* 2/3 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 1 binary64)) x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (+ 1 (* x (+ 2/3 (* -8/45 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x #s(literal 1 binary64)) x #s(literal 1/2 binary64)) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -8 x)))
(*.f64 (fma.f64 #s(literal -8 binary64) x #s(literal 4 binary64)) x)
(* x (+ 4 (* x (- (* 32/3 x) 8))))
(*.f64 (fma.f64 (fma.f64 #s(literal 32/3 binary64) x #s(literal -8 binary64)) x #s(literal 4 binary64)) x)
(* x (+ 4 (* x (- (* x (+ 32/3 (* -32/3 x))) 8))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -32/3 binary64) x #s(literal 32/3 binary64)) x #s(literal -8 binary64)) x #s(literal 4 binary64)) x)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(+ 1 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 8 x) 4)))
(fma.f64 (fma.f64 #s(literal 8 binary64) x #s(literal -4 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 8 (* -32/3 x))) 4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -32/3 binary64) x #s(literal 8 binary64)) x #s(literal -4 binary64)) x #s(literal 1 binary64))
(* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(- (exp (* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))) 1)
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64)))
(log (+ 1 (/ 1 (pow (exp x) 2))))
(log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* -4/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64) (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))))
(- 1 (/ 1 (pow (exp x) 2)))
(neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(- (* 2 (/ (- 1 (/ 1 (pow (exp x) 2))) (- 1 (/ 1 (pow (exp x) 4))))) 1)
(fma.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) #s(literal -1 binary64))
(/ 2 (- 1 (/ 1 (pow (exp x) 4))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(- 1 (/ 1 (pow (exp x) 4)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(/ 1 (pow (exp x) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64) (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))

rewrite142.0ms (2.5%)

Memory

52.6MiB live, 52.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	214
0	62	209
1	291	206
2	2087	203
0	8122	203

Stop Event

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

Counts

21 → 568

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))))
(neg.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64))))
(fma.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))) (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))))) (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))))
(-.f64 (log.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))))) (log.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1/2 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) (log.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (log.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))))) (log.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (log.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) (log.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -6 binary64))) #s(literal -2 binary64))) (log.f64 (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal -2 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))) (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))))
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(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
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(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
(+.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(exp.f64 (fma.f64 x #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -8/3 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal -4/3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -4/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal -8/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64))))))
(/.f64 (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 16/9 binary64) (*.f64 x x) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16/9 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal -8/3 binary64)))) (fma.f64 #s(literal -64/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -4/3 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -4/3 binary64) x #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 x x))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -4 binary64))
(exp.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -4 binary64))) x))
(exp.f64 (*.f64 #s(literal -4 binary64) x))

eval81.0ms (1.4%)

Memory: 51.8MiB live, 51.8MiB allocated
Compiler: Compiled 17 039 to 2 263 computations (86.7% saved)

prune27.0ms (0.5%)

Memory

26.6MiB live, 26.6MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	586	8	594
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	588	15	603

Accuracy

100.0%

Counts

603 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	29.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	29.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	29.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	26.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
	26.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
	26.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	30.8%	(expm1.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
	55.9%	(expm1.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
▶	73.7%	(expm1.f64 (*.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)) #s(literal -1 binary64)))
▶	74.0%	(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
	48.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
	50.3%	#s(approx (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))

Compiler

Compiled 520 to 451 computations (13.3% saved)

simplify211.0ms (3.7%)

Memory

23.4MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))
cost-diff	0	(expm1.f64 (*.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)) #s(literal -1 binary64)))
cost-diff	192	(*.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
cost-diff	0	(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	330
0	70	330
1	105	326
2	153	326
3	236	324
4	397	324
5	493	324
6	593	324
7	744	324
8	839	324
9	898	324
10	934	324
11	1169	324
12	1915	324
13	2548	324
14	3079	324
15	3286	324
16	4163	324
17	4693	324
18	5293	324
19	5524	324
20	5988	324
21	6202	324
22	7084	324
23	7454	324
24	7749	324
0	8031	310

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (2.9%)

Memory

41.5MiB live, 41.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)) #s(literal -1 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(expm1.f64 (*.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)) #s(literal -1 binary64)))
accuracy	16.88875319057641	#s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))
accuracy	0.0703125	(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
accuracy	17.167499988058537	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))
accuracy	28.289192024430335	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
accuracy	30.753612564550004	#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
accuracy	0.0234375	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))))
accuracy	16.609599839829755	#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	28.289192024430335	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	16.45675896482576	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x))
accuracy	28.289192024430335	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	0.01171875	(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy	17.155957803500595	#s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))

Samples

52.0ms	73×	1	valid
40.0ms	46×	2	valid
23.0ms	63×	1	exit
21.0ms	74×	0	valid

Compiler

Compiled 555 to 90 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-exp: 20.0ms (18.6% of total)

adjust: 16.0ms (14.9% of total)

ival-mult: 15.0ms (13.9% of total)

ival-add: 11.0ms (10.2% of total)

ival-expm1: 11.0ms (10.2% of total)

ival-log1p: 8.0ms (7.4% of total)

ival-log: 7.0ms (6.5% of total)

ival-pow: 6.0ms (5.6% of total)

ival-sub: 4.0ms (3.7% of total)

const: 4.0ms (3.7% of total)

ival-div: 3.0ms (2.8% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series36.0ms (0.6%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

20 → 47

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
1
(+ 1 (* -1/2 x))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(+ 2 (* -4/3 x))
(- (exp (* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))) 1)
(* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -1 (* x (- 1/2 (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (+ (* -4/3 x) 2))
16.0ms	x	@	inf	((- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (+ (* -4/3 x) 2))
2.0ms	x	@	0	((- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (+ (* -4/3 x) 2))
0.0ms	y	@	0	((- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (+ (* -4/3 x) 2))
0.0ms	y	@	inf	((- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (+ (* -4/3 x) 2))

simplify122.0ms (2.1%)

Memory

35.6MiB live, 35.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	419
1	382	405
2	1026	396
3	3322	382
0	8097	325

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
1
(+ 1 (* -1/2 x))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(+ 2 (* -4/3 x))
(- (exp (* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))) 1)
(* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(* x (+ 1 (/ 1 x)))
(+ 1 (exp (* -2 x)))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* -1 (* x (- 1/2 (/ 1 x))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 x #s(literal 1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 x #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(+ 2 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(- (exp (* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))) 1)
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(* -1 (- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(* -1/2 (pow x 2))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (/ 1 x) 1/2))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -4/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64)))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))

rewrite160.0ms (2.8%)

Memory

54.8MiB live, 54.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	294
0	70	289
1	300	285
2	2080	283
0	8973	276

Stop Event

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

Counts

20 → 370

Calls

Call 1

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

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

eval60.0ms (1%)

Memory: 39.6MiB live, 39.6MiB allocated
Compiler: Compiled 16 620 to 1 514 computations (90.9% saved)

prune26.0ms (0.5%)

Memory

21.7MiB live, 21.7MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	396	7	403
Fresh	0	6	6
Picked	1	4	5
Done	0	4	4
Total	397	21	418

Accuracy

100.0%

Counts

418 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	29.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	29.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	29.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	26.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
	26.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
▶	26.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
	26.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
▶	26.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
▶	5.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
✓	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	30.8%	(expm1.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
	55.9%	(expm1.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
▶	73.7%	(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))
✓	74.0%	(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
	48.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
	50.3%	#s(approx (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))

Compiler

Compiled 730 to 598 computations (18.1% saved)

simplify172.0ms (3%)

Memory

47.0MiB live, 47.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
cost-diff	0	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
cost-diff	6080	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	320	(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
cost-diff	320	(-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
cost-diff	768	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))
cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))
cost-diff	0	(neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)))
cost-diff	0	(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	411
0	72	425
1	123	411
2	246	363
3	738	363
4	2403	363
5	6693	363
0	8281	347

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (3.1%)

Memory

46.9MiB live, 46.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
accuracy	7.99114562828991	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
accuracy	16.252791985915408	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
accuracy	28.285285774430335	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
accuracy	0.03125	(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))
accuracy	10.13986134782038	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	16.252791985915408	#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	28.285285774430335	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))))
accuracy	16.398222407575457	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
accuracy	28.285285774430335	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
accuracy	30.644238926497152	#s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
accuracy	0.01953125	(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))))
accuracy	17.08971803085342	#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))
accuracy	28.285285774430335	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
accuracy	30.9722317567199	#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)))
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))
accuracy	16.68061376548425	#s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))

Samples

55.0ms	73×	1	valid
43.0ms	46×	2	valid
22.0ms	63×	1	exit
21.0ms	73×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 667 to 89 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-exp: 20.0ms (17.9% of total)

adjust: 16.0ms (14.3% of total)

ival-mult: 15.0ms (13.4% of total)

ival-expm1: 11.0ms (9.8% of total)

ival-pow: 10.0ms (9% of total)

ival-sub: 9.0ms (8.1% of total)

ival-log1p: 8.0ms (7.2% of total)

ival-log: 7.0ms (6.3% of total)

ival-add: 6.0ms (5.4% of total)

ival-div: 5.0ms (4.5% of total)

ival-neg: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series39.0ms (0.7%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

24 → 66

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1 x) 1)))
(+ 1 (* x (- (* x (- x 1)) 1)))
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(- (exp (- (log 2) (log (+ 1 (/ 1 (pow (exp x) 2)))))) 1)
(- (log 2) (log (+ 1 (/ 1 (pow (exp x) 2)))))
(- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (- (/ 1 x) 1))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((- (exp (neg (- (log (+ 1 (pow (exp x) -2))) (log 2)))) 1) (neg (- (log (+ 1 (pow (exp x) -2))) (log 2))) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* (- 1 x) (- 1 x))) (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* 1 (- 1 x)) (* (- 1 x) (- 1 x)) (* (- 1 (* x x)) (pow (- 1 x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- 1 (* x x)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (* (- 1 x) (* x x)) (pow (- 1 x) -1))
17.0ms	x	@	inf	((- (exp (neg (- (log (+ 1 (pow (exp x) -2))) (log 2)))) 1) (neg (- (log (+ 1 (pow (exp x) -2))) (log 2))) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* (- 1 x) (- 1 x))) (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* 1 (- 1 x)) (* (- 1 x) (- 1 x)) (* (- 1 (* x x)) (pow (- 1 x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- 1 (* x x)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (* (- 1 x) (* x x)) (pow (- 1 x) -1))
3.0ms	x	@	0	((- (exp (neg (- (log (+ 1 (pow (exp x) -2))) (log 2)))) 1) (neg (- (log (+ 1 (pow (exp x) -2))) (log 2))) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* (- 1 x) (- 1 x))) (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* 1 (- 1 x)) (* (- 1 x) (- 1 x)) (* (- 1 (* x x)) (pow (- 1 x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- 1 (* x x)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (* (- 1 x) (* x x)) (pow (- 1 x) -1))
0.0ms	y	@	0	((- (exp (neg (- (log (+ 1 (pow (exp x) -2))) (log 2)))) 1) (neg (- (log (+ 1 (pow (exp x) -2))) (log 2))) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* (- 1 x) (- 1 x))) (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* 1 (- 1 x)) (* (- 1 x) (- 1 x)) (* (- 1 (* x x)) (pow (- 1 x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- 1 (* x x)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (* (- 1 x) (* x x)) (pow (- 1 x) -1))
0.0ms	y	@	inf	((- (exp (neg (- (log (+ 1 (pow (exp x) -2))) (log 2)))) 1) (neg (- (log (+ 1 (pow (exp x) -2))) (log 2))) (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* 2 x) -2) x) 2) (/ (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* (- 1 x) (- 1 x))) (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (* 1 (- 1 x)) (* (- 1 x) (- 1 x)) (* (- 1 (* x x)) (pow (- 1 x) -1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- 1 (* x x)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (* (- 1 x) (* x x)) (pow (- 1 x) -1))

simplify130.0ms (2.3%)

Memory

35.4MiB live, 35.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	575
1	518	540
2	1297	515
3	4396	505
0	8362	453

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1 x) 1)))
(+ 1 (* x (- (* x (- x 1)) 1)))
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(- (exp (- (log 2) (log (+ 1 (/ 1 (pow (exp x) 2)))))) 1)
(- (log 2) (log (+ 1 (/ 1 (pow (exp x) 2)))))
(- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 x)))
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (- (/ 1 x) 1))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 x) 1))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/12 (pow x 2)) 1/2))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/12 (* -1/45 (pow x 2)))) 1/2))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* (pow x 2) (- (* 1/45 (pow x 2)) 1/12)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x #s(literal -1 binary64)))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 x #s(literal -1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* -1 x) 1)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
(+ 1 (* x (- (* x (- x 1)) 1)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- x 2)))
(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(+ 1 (* x (+ 1 x)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(- (exp (- (log 2) (log (+ 1 (/ 1 (pow (exp x) 2)))))) 1)
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(- (log 2) (log (+ 1 (/ 1 (pow (exp x) 2)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(- (log (+ 1 (/ 1 (pow (exp x) 2)))) (log 2))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64)))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ 1 (exp (* -2 x)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 x)))
(*.f64 (fma.f64 x x (neg.f64 x)) x)
(* (pow x 3) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)
(* (pow x 3) (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (/ 1 x) 1))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal 1 binary64)) x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(* -1 (* (pow x 3) (- (/ 1 x) 1)))
(*.f64 (fma.f64 x x (neg.f64 x)) x)
(* -1 (* (pow x 3) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1) x)) 1)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* -1 (* (pow x 3) (- 1 (/ 1 x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal 1 binary64)) x)

rewrite155.0ms (2.7%)

Memory

55.6MiB live, 55.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	372
0	72	351
1	327	319
2	2339	319
0	8445	308

Stop Event

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

Counts

24 → 633

Calls

Call 1

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

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

eval94.0ms (1.6%)

Memory: 63.7MiB live, 63.7MiB allocated
Compiler: Compiled 27 888 to 2 908 computations (89.6% saved)

prune40.0ms (0.7%)

Memory

35.2MiB live, 35.2MiB allocated

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	673	8	681
Fresh	1	7	8
Picked	2	3	5
Done	1	7	8
Total	677	25	702

Accuracy

100.0%

Counts

702 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.8%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	29.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	29.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	29.0%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	26.4%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
	26.8%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
✓	26.3%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
	26.7%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
✓	26.1%	(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
	5.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	5.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	5.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
	6.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	3.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 x x (neg.f64 x)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
	6.6%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
✓	6.8%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
	3.5%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (pow (- 1 x) -1) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64))
	4.4%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (pow (- 1 x) -1) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))) #s(literal 1 binary64))
✓	4.2%	(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	30.8%	(expm1.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
	55.9%	(expm1.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
✓	73.7%	(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))
	48.7%	#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
	50.3%	#s(approx (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))

Compiler

Compiled 1 391 to 679 computations (51.2% saved)

regimes68.0ms (1.2%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (pow (- 1 x) -1) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (pow (- 1 x) -1) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 x x (neg.f64 x)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(expm1.f64 (*.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)) #s(literal -1 binary64)))
(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(expm1.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(expm1.f64 (+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))

Outputs

(expm1.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))

(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))

Calls

7 calls:

11.0ms	(*.f64 #s(literal -2 binary64) x)
10.0ms	y
10.0ms	x
9.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
8.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
99.6%	2	`x`
74.0%	1	`y`
99.6%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.6%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.6%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.6%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes51.0ms (0.9%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (pow (- 1 x) -1) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (pow (- 1 x) -1) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 x x (neg.f64 x)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(expm1.f64 (*.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)) #s(literal -1 binary64)))
(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))

Calls

6 calls:

9.0ms	x
9.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
7.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
7.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

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

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes49.0ms (0.9%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (.f64 (.f64 x x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* 2 x) -2) x) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (pow (- 1 x) -1) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (pow (- 1 x) -1) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (.f64 (.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* 1 (- 1 x)) (* (- 1 x) (* x x))) (.f64 (fma.f64 x x (neg.f64 x)) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (-.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(expm1.f64 (*.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x)) #s(literal -1 binary64)))
(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (- (exp (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1)) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))

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

Calls

6 calls:

9.0ms	(*.f64 #s(literal -2 binary64) x)
9.0ms	x
7.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
7.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
7.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
74.0%	1	`x`
74.0%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
74.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
74.0%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
74.0%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
74.0%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 32 to 37 computations (-15.6% saved)

regimes53.0ms (0.9%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs
(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))

Calls

7 calls:

8.0ms	y
8.0ms	x
8.0ms	(*.f64 #s(literal -2 binary64) x)
7.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
7.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
73.7%	1	`x`
73.7%	1	`y`
73.7%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
73.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
73.7%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
73.7%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
73.7%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes49.0ms (0.8%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))

Calls

7 calls:

8.0ms	y
8.0ms	x
7.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
29.7%	1	`x`
29.7%	1	`y`
29.7%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
29.7%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
29.7%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
29.7%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
29.7%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes34.0ms (0.6%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	y
5.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
4.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
29.4%	1	`(*.f64 #s(literal -2 binary64) x)`
29.4%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
29.4%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
29.4%	1	`y`
29.4%	1	`x`
29.4%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
29.4%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes25.0ms (0.4%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	y
4.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
29.0%	1	`(*.f64 #s(literal -2 binary64) x)`
29.0%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
29.0%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
29.0%	1	`y`
29.0%	1	`x`
29.0%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
29.0%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes16.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

7 calls:

2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	y
2.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
30.4%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
30.4%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
30.4%	2	`(*.f64 #s(literal -2 binary64) x)`
26.1%	1	`y`
30.4%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
30.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
30.4%	2	`x`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes14.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	y
2.0ms	x
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
6.8%	1	`y`
6.8%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
6.8%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
6.8%	1	`(*.f64 #s(literal -2 binary64) x)`
6.8%	1	`x`
6.8%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
6.8%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

regimes12.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
2.0ms	y
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
4.2%	1	`y`
4.2%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
4.2%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
4.2%	1	`x`
4.2%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
4.2%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
4.2%	1	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 33 to 39 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.12586692853454237	-0.00025686611647597065

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.12586692853454237	-0.00025686611647597065

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch14.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-52.96640557350991	-1.047898044223713

Samples

8.0ms

112×

valid

Compiler

Compiled 251 to 239 computations (4.8% saved)

Precisions

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify34.0ms (0.6%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	226
1	90	225
2	107	225
3	127	224
4	144	224
5	167	224
6	182	224
7	205	224
8	230	224
9	233	224

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (expm1.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (expm1.f64 #s(approx ( (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -4278419646001971/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (expm1.f64 (.f64 (-.f64 (log1p.f64 (exp.f64 (.f64 #s(literal -2 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (expm1.f64 #s(approx ( (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3602879701896397/36028797018963968 binary64)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (.f64 x #s(literal -2 binary64)))))) (expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(if (<=.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3602879701896397/36028797018963968 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(expm1.f64 #s(approx (* (- (log (+ 1 (pow (exp x) -2))) (log 2)) -1) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(expm1.f64 (neg.f64 #s(approx (- (log (+ 1 (pow (exp x) -2))) (log 2)) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -4278419646001971/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -4278419646001971/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp ( -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness1.2s (21%)

Memory

7.9MiB live, 7.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	646
1	551	627
2	1288	608
3	3904	594
4	7660	594
0	8220	507
0	9	31
0	14	31
1	53	31
2	371	31
3	5969	31
0	8136	31
0	47	294
0	70	289
1	300	285
2	2080	283
0	8973	276
0	49	164
1	119	164
2	234	154
3	604	154
4	1200	154
5	1777	154
6	2034	154
7	2609	154
8	3678	154
9	5741	154
10	6674	154
11	7080	154
12	7222	154
13	7282	154
14	7322	154
0	8037	133
0	35	214
0	62	209
1	291	206
2	2087	203
0	8122	203

Stop Event

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

Compiler

Compiled 462 to 276 computations (40.3% saved)

preprocess66.0ms (1.1%)

Memory: 35.1MiB live, 35.1MiB allocated
Remove: (abs y)
Compiler: Compiled 538 to 222 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	68	226
1	90	225
2	107	225
3	127	224
4	144	224
5	167	224
6	182	224
7	205	224
8	230	224
9	233	224

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	68	226
1	90	225
2	107	225
3	127	224
4	144	224
5	167	224
6	182	224
7	205	224
8	230	224
9	233	224

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (20.2%)

explain160.0ms (2.8%)

preprocess25.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize38.0ms (0.7%)

series5.0ms (0.1%)

simplify175.0ms (3%)

rewrite114.0ms (2%)

eval34.0ms (0.6%)

prune12.0ms (0.2%)

simplify88.0ms (1.5%)

localize178.0ms (3.1%)

series84.0ms (1.5%)

simplify137.0ms (2.4%)

rewrite142.0ms (2.5%)

eval81.0ms (1.4%)

prune27.0ms (0.5%)

simplify211.0ms (3.7%)

localize166.0ms (2.9%)

series36.0ms (0.6%)

simplify122.0ms (2.1%)

rewrite160.0ms (2.8%)

eval60.0ms (1%)

prune26.0ms (0.5%)

simplify172.0ms (3%)

localize177.0ms (3.1%)

series39.0ms (0.7%)

simplify130.0ms (2.3%)

rewrite155.0ms (2.7%)

eval94.0ms (1.6%)

prune40.0ms (0.7%)

regimes68.0ms (1.2%)

regimes51.0ms (0.9%)

regimes49.0ms (0.9%)

regimes53.0ms (0.9%)

regimes49.0ms (0.8%)

regimes34.0ms (0.6%)

regimes25.0ms (0.4%)

regimes16.0ms (0.3%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch14.0ms (0.2%)

simplify34.0ms (0.6%)

soundness1.2s (21%)

preprocess66.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	68	226
1	90	225
2	107	225
3	127	224
4	144	224
5	167	224
6	182	224
7	205	224
8	230	224
9	233	224