Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (17.5%)

Memory

-44.6MiB live, 736.0MiB allocated

Samples

780.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 312.0ms

ival-exp: 110.0ms (35.2% of total)

ival-mult: 104.0ms (33.3% of total)

ival-sub: 47.0ms (15.1% of total)

ival-neg: 37.0ms (11.9% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

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

Bogosity

explain168.0ms (2.8%)

Memory

4.9MiB live, 125.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`(*.f64 x x)`
0	-	-	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 103 to 40 computations (61.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-exp: 4.0ms (27.5% of total)

ival-mult: 4.0ms (27.5% of total)

ival-sub: 3.0ms (20.6% of total)

ival-neg: 2.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess189.0ms (3.2%)

Memory

8.6MiB live, 83.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	30	13
2	74	13
3	156	13
4	282	13
5	410	13
6	635	13
7	968	13
8	1625	13
9	3013	13
10	6135	13
0	6	7
0	10	7
1	22	6
2	51	6
3	106	6
4	192	6
5	293	6
6	468	6
7	776	6
8	1277	6
9	2109	6
10	4291	6
11	7386	6
0	8073	5

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify144.0ms (2.4%)

Memory

-24.1MiB live, 129.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff	256	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	22	21
2	51	21
3	106	21
4	192	21
5	293	21
6	468	21
7	776	21
8	1277	21
9	2109	21
10	4291	21
11	7386	21
0	8073	19

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

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

localize18.0ms (0.3%)

Memory

24.9MiB live, 24.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.024101269536884032	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

13.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 2.0ms (29.3% of total)

ival-mult: 2.0ms (29.3% of total)

ival-sub: 1.0ms (14.7% of total)

ival-neg: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

4 → 13

Calls

Call 1

Inputs
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
-1
(- (pow x 2) 1)
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
1
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
1.0ms	x	@	0	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

Time

Variable

Point

Expression

1.0ms

inf

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

1.0ms

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

0.0ms

-inf

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

simplify216.0ms (3.6%)

Memory

-11.7MiB live, 81.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	92
1	81	86
2	247	82
3	605	79
4	1328	79
5	2025	79
6	3122	79
7	5644	79
0	8367	70

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
1
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))

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

rewrite272.0ms (4.6%)

Memory

2.4MiB live, 121.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16

Stop Event

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

Counts

4 → 500

Calls

Call 1

Inputs
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

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

eval68.0ms (1.1%)

Memory: 4.1MiB live, 117.0MiB allocated
Compiler: Compiled 10 671 to 1 805 computations (83.1% saved)

prune10.0ms (0.2%)

Memory

-19.7MiB live, 25.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	508	3	511
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	509	3	512

Accuracy

100.0%

Counts

512 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	54.6%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 20 to 17 computations (15% saved)

simplify159.0ms (2.7%)

Memory

19.9MiB live, 124.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(E.f64)
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) x)
cost-diff	6784	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
cost-diff	0	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	43
0	21	42
1	38	38
2	66	38
3	133	38
4	287	38
5	624	38
6	1516	38
7	2297	38
8	4544	38
9	6941	38
0	8399	38

Stop Event

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

Calls

Call 1

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

Outputs
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
x
(E.f64)

localize65.0ms (1.1%)

Memory

-23.8MiB live, 65.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0	(E.f64)
accuracy	0.0078125	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
accuracy	0.012382519536884034	(pow.f64 (exp.f64 x) x)
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.024101269536884032	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.024101269536884032	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	29.756030165917547	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))

Samples

51.0ms

256×

valid

Compiler

Compiled 86 to 29 computations (66.3% saved)

Precisions

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

ival-mult: 20.0ms (47.3% of total)

ival-exp: 6.0ms (14.2% of total)

ival-pow: 5.0ms (11.8% of total)

ival-neg: 5.0ms (11.8% of total)

ival-div: 2.0ms (4.7% of total)

ival-e: 2.0ms (4.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

8 → 23

Calls

Call 1

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

Outputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
-1
(- (pow x 2) 1)
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp (- (pow x 2) 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))
1.0ms	x	@	inf	((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))
1.0ms	x	@	-inf	((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))

Time

Variable

Point

Expression

1.0ms

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))

1.0ms

inf

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))

1.0ms

-inf

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E))

simplify148.0ms (2.5%)

Memory

20.2MiB live, 142.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	205
1	192	197
2	574	179
3	1289	175
4	1842	173
5	2357	173
6	3219	173
7	5188	173
8	7537	173
0	8099	146

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
-1
(- (pow x 2) 1)
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp (- (pow x 2) 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp x)

Outputs
(exp -1)
(exp.f64 #s(literal -1 binary64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (E.f64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(/ 1 (E))
(exp.f64 #s(literal -1 binary64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (E.f64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(/ (exp (pow x 2)) (E))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (pow x 2))
(pow.f64 (exp.f64 x) x)
(exp x)
(exp.f64 x)

rewrite123.0ms (2.1%)

Memory

13.4MiB live, 124.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	21	38
1	90	34
2	561	34
3	4652	34
0	8797	34

Stop Event

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

Counts

8 → 675

Calls

Call 1

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

Outputs
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -2/3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -1/3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (E.f64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) x))) (/.f64 #s(literal -1 binary64) (E.f64)))
(.f64 (pow.f64 (.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (cbrt.f64 (E.f64)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (E.f64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (sqrt.f64 (E.f64)))) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (cbrt.f64 (E.f64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (E.f64)))
(.f64 (pow.f64 (E.f64) (-.f64 (.f64 x x) #s(literal 1/3 binary64))) (exp.f64 #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (cbrt.f64 (E.f64)))))
(.f64 (pow.f64 (.f64 (E.f64) (exp.f64 x)) #s(literal -1 binary64)) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) x))
(.f64 (pow.f64 (.f64 (E.f64) (exp.f64 x)) x) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 (E.f64) (fma.f64 x x #s(literal -1/2 binary64))))
(.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (E.f64) (-.f64 (.f64 x x) #s(literal 1/3 binary64))))
(.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (pow.f64 (E.f64) (-.f64 #s(literal 1/3 binary64) (.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (E.f64) (fma.f64 x x #s(literal -1/2 binary64))) (exp.f64 #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (exp.f64 x) x) (exp.f64 #s(literal -2/3 binary64))) (exp.f64 #s(literal -1/3 binary64)))
(.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 #s(literal -1 binary64) (E.f64))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (neg.f64 (E.f64))))
(.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/4 binary64)) (exp.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -2/3 binary64))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -2/3 binary64))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 #s(literal -1/3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (E.f64)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (/.f64 #s(literal -1 binary64) (E.f64))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (E.f64)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (exp.f64 x) x))
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 #s(literal -1 binary64) (E.f64)))
(*.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (.f64 (.f64 (E.f64) (exp.f64 x)) (*.f64 (E.f64) (exp.f64 x))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) (exp.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
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(pow.f64 (exp.f64 x) (.f64 (fma.f64 x #s(literal 1/4 binary64) (.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (neg.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) x)
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 x) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (neg.f64 x)))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 x) x)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (exp.f64 x) x)))
(exp.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))) (sqrt.f64 (E.f64)))
(*.f64 (neg.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (cbrt.f64 (E.f64)))
(*.f64 (/.f64 (E.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))) (exp.f64 #s(literal 1/9 binary64)))
(*.f64 (exp.f64 #s(literal 5/6 binary64)) (exp.f64 #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (E.f64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) (E.f64)) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) (E.f64)) #s(literal 1/3 binary64))
(*.f64 (neg.f64 (sqrt.f64 (E.f64))) (neg.f64 (sqrt.f64 (E.f64))))
(*.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (E.f64))))
(*.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (exp.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)))))
(*.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (E.f64) #s(literal 3/4 binary64)))
(*.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 5/6 binary64)))))
(*.f64 (exp.f64 #s(literal 1/6 binary64)) (exp.f64 #s(literal 5/6 binary64)))
(*.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (exp.f64 (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))))))
(.f64 (exp.f64 #s(literal 2/9 binary64)) (.f64 (exp.f64 #s(literal 1/9 binary64)) (exp.f64 #s(literal 2/3 binary64))))
(*.f64 (sqrt.f64 (E.f64)) (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))))
(*.f64 (sqrt.f64 (E.f64)) (/.f64 (sqrt.f64 (E.f64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (E.f64)))))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (E.f64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (E.f64)))))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (cbrt.f64 (E.f64)))
(*.f64 (cbrt.f64 (E.f64)) (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (E.f64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal 2/3 binary64)))
(*.f64 (E.f64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (E.f64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (E.f64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(pow.f64 (E.f64) #s(literal 1 binary64))
(/.f64 (neg.f64 (E.f64)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (E.f64)) (exp.f64 #s(literal -1/2 binary64)))
(/.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal -2/3 binary64)))
(/.f64 (E.f64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(literal -1 binary64)))
(neg.f64 (neg.f64 (E.f64)))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))) (sqrt.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (cbrt.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (E.f64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)) (exp.f64 #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))) (exp.f64 #s(literal 1/9 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 5/6 binary64)) (exp.f64 #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (E.f64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (E.f64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) (E.f64)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (E.f64))) (neg.f64 (sqrt.f64 (E.f64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (exp.f64 #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (E.f64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (exp.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (E.f64) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 5/6 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/6 binary64)) (exp.f64 #s(literal 5/6 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (exp.f64 (cbrt.f64 (exp.f64 #s(literal 8/3 binary64))))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/9 binary64)) (*.f64 (exp.f64 #s(literal 1/9 binary64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (E.f64)) (neg.f64 (neg.f64 (sqrt.f64 (E.f64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (E.f64)) (/.f64 (sqrt.f64 (E.f64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (E.f64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (E.f64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (E.f64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 #s(literal 2/3 binary64)) (cbrt.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (E.f64)) (/.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (E.f64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (E.f64)) (exp.f64 #s(literal 2/3 binary64)) #s(literal 0 binary64))
(fma.f64 (E.f64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (E.f64) #s(literal 0 binary64))
(cbrt.f64 (exp.f64 #s(literal 3 binary64)))
(sqrt.f64 (exp.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (E.f64)))
(fabs.f64 (E.f64))
(exp.f64 #s(literal 1 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (E.f64))) (/.f64 (sqrt.f64 (E.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (E.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (E.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (E.f64) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (E.f64) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (E.f64))) (log.f64 (pow.f64 (sqrt.f64 (E.f64)) (E.f64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (E.f64))) (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (E.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (E.f64)) (E.f64))) (log.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (E.f64))))
(+.f64 #s(literal 0 binary64) (E.f64))
(+.f64 (E.f64) #s(literal 0 binary64))
(log.f64 (exp.f64 (E.f64)))
(E.f64)

eval131.0ms (2.2%)

Memory: -20.3MiB live, 68.9MiB allocated
Compiler: Compiled 7 163 to 1 408 computations (80.3% saved)

prune11.0ms (0.2%)

Memory

-13.2MiB live, 25.5MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	523	8	531
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	525	9	534

Accuracy

100.0%

Counts

534 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	100.0%	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))
▶	100.0%	(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
▶	97.6%	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64)))
	100.0%	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
	78.0%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	54.6%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	55.7%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 149 to 120 computations (19.5% saved)

simplify139.0ms (2.4%)

Memory

29.6MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) x)
cost-diff	0	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64)))
cost-diff	12864	(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
cost-diff	0	(E.f64)
cost-diff	0	(sqrt.f64 (E.f64))
cost-diff	0	(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
cost-diff	0	(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
cost-diff	0	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
cost-diff	0	(E.f64)
cost-diff	0	#s(approx (pow (exp x) x) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x))
cost-diff	0	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))
cost-diff	6336	(pow.f64 (exp.f64 x) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	123
0	46	117
1	66	112
2	106	112
3	149	112
4	223	112
5	355	112
6	504	112
7	713	112
8	1058	112
9	1509	112
10	3547	112
11	5110	112
12	7066	112
13	7593	112
0	8071	110

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(neg.f64 x)
(E.f64)
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
#s(approx (pow (exp x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(E.f64)
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
x
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (E.f64))
(E.f64)
(.f64 #s(literal 2 binary64) (.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
x
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(cbrt.f64 (E.f64))
(E.f64)
#s(literal 3 binary64)

Outputs
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))
(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 (neg.f64 x))
(exp.f64 x)
x
#s(literal -1 binary64)
(neg.f64 x)
(E.f64)
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
#s(approx (pow (exp x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(E.f64)
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
x
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (E.f64))
(E.f64)
(.f64 #s(literal 2 binary64) (.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
x
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(E.f64)
(cbrt.f64 (E.f64))
(E.f64)
#s(literal 3 binary64)

localize100.0ms (1.7%)

Memory

-25.5MiB live, 55.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64)))
accuracy	0.012382519536884034	(pow.f64 (exp.f64 x) x)
accuracy	0.8729676273503263	(cbrt.f64 (E.f64))
accuracy	27.851018524787865	(E.f64)
accuracy	0.0078125	(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (.f64 x x))
accuracy	0.01970466452874396	(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
accuracy	27.851018524787865	(E.f64)
accuracy	0	(*.f64 x x)
accuracy	0.024101269536884032	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	33.67929721300652	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.0078125	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
accuracy	1.2164066072747635	#s(approx (pow (exp x) x) #s(literal 1 binary64))
accuracy	27.851018524787865	(E.f64)
accuracy	0.0078125	(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x))
accuracy	0.0078125	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))
accuracy	0.015625	(pow.f64 (exp.f64 x) #s(literal -1 binary64))
accuracy	27.851018524787865	(E.f64)

Samples

37.0ms	115×	1	exit
30.0ms	141×	0	valid

Compiler

Compiled 236 to 56 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-pow: 22.0ms (45% of total)

ival-div: 6.0ms (12.3% of total)

adjust: 5.0ms (10.2% of total)

ival-exp: 4.0ms (8.2% of total)

ival-mult: 3.0ms (6.1% of total)

ival-e: 2.0ms (4.1% of total)

ival-cbrt: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

ival-neg: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

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

series8.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

18 → 38

Calls

Call 1

Inputs
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 x)
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
#s(approx (pow (exp x) x) #s(literal 1 binary64))
(E.f64)
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (E.f64))
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) x)
(.f64 #s(literal 2 binary64) (.f64 x x))
(cbrt.f64 (E.f64))

Outputs
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
-1
(- (pow x 2) 1)
(pow x 2)
(+ (* 2 (/ (* (pow x 2) (log (sqrt (E)))) (E))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 2 (/ (log (sqrt (E))) (E))) (* 2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (E))))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 2 (/ (log (sqrt (E))) (E))) (* (pow x 2) (+ (* 4/3 (/ (* (pow x 2) (pow (log (sqrt (E))) 3)) (E))) (* 2 (/ (pow (log (sqrt (E))) 2) (E))))))) (/ 1 (E)))
(+ 1 (* 2 (* (pow x 2) (log (sqrt (E))))))
(+ 1 (* (pow x 2) (+ (* 2 (log (sqrt (E)))) (* 2 (* (pow x 2) (pow (log (sqrt (E))) 2))))))
(+ 1 (* (pow x 2) (+ (* 2 (log (sqrt (E)))) (* (pow x 2) (+ (* 4/3 (* (pow x 2) (pow (log (sqrt (E))) 3))) (* 2 (pow (log (sqrt (E))) 2)))))))
(* 2 (pow x 2))
(/ 1 (exp x))
(/ (exp (* -1 (* x (log (/ 1 (exp x)))))) (E))
(exp (* -1 (* x (log (/ 1 (exp x))))))
(exp x)
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp (- (pow x 2) 1))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ (exp (* 2 (* (pow x 2) (log (sqrt (E)))))) (E))
(exp (* 2 (* (pow x 2) (log (sqrt (E))))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((pow (exp x) -1) (/ (pow (pow (exp x) -1) (neg x)) (E)) (pow (pow (exp x) -1) (neg x)) (exp x) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (/ (pow (sqrt (E)) (* 2 (* x x))) (E)) (pow (sqrt (E)) (* 2 (* x x))) (sqrt (E)) (pow (cbrt (E)) 3) (/ (pow (exp x) x) (pow (cbrt (E)) 3)) (pow (exp x) x) (* 2 (* x x)) (cbrt (E)))

3.0ms

((pow (exp x) -1) (/ (pow (pow (exp x) -1) (neg x)) (E)) (pow (pow (exp x) -1) (neg x)) (exp x) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (/ (pow (sqrt (E)) (* 2 (* x x))) (E)) (pow (sqrt (E)) (* 2 (* x x))) (sqrt (E)) (pow (cbrt (E)) 3) (/ (pow (exp x) x) (pow (cbrt (E)) 3)) (pow (exp x) x) (* 2 (* x x)) (cbrt (E)))

2.0ms

-inf

((pow (exp x) -1) (/ (pow (pow (exp x) -1) (neg x)) (E)) (pow (pow (exp x) -1) (neg x)) (exp x) (/ (pow (exp x) x) (E)) (pow (exp x) x) (E) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (/ (pow (sqrt (E)) (* 2 (* x x))) (E)) (pow (sqrt (E)) (* 2 (* x x))) (sqrt (E)) (pow (cbrt (E)) 3) (/ (pow (exp x) x) (pow (cbrt (E)) 3)) (pow (exp x) x) (* 2 (* x x)) (cbrt (E)))

simplify227.0ms (3.8%)

Memory

14.6MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	445
1	367	413
2	1140	373
3	3137	369
4	6107	369
0	8470	323

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 38

Calls

Call 1

Inputs
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
-1
(- (pow x 2) 1)
(pow x 2)
(+ (* 2 (/ (* (pow x 2) (log (sqrt (E)))) (E))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 2 (/ (log (sqrt (E))) (E))) (* 2 (/ (* (pow x 2) (pow (log (sqrt (E))) 2)) (E))))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 2 (/ (log (sqrt (E))) (E))) (* (pow x 2) (+ (* 4/3 (/ (* (pow x 2) (pow (log (sqrt (E))) 3)) (E))) (* 2 (/ (pow (log (sqrt (E))) 2) (E))))))) (/ 1 (E)))
(+ 1 (* 2 (* (pow x 2) (log (sqrt (E))))))
(+ 1 (* (pow x 2) (+ (* 2 (log (sqrt (E)))) (* 2 (* (pow x 2) (pow (log (sqrt (E))) 2))))))
(+ 1 (* (pow x 2) (+ (* 2 (log (sqrt (E)))) (* (pow x 2) (+ (* 4/3 (* (pow x 2) (pow (log (sqrt (E))) 3))) (* 2 (pow (log (sqrt (E))) 2)))))))
(* 2 (pow x 2))
(/ 1 (exp x))
(/ (exp (* -1 (* x (log (/ 1 (exp x)))))) (E))
(exp (* -1 (* x (log (/ 1 (exp x))))))
(exp x)
(/ (exp (pow x 2)) (E))
(exp (pow x 2))
(exp (- (pow x 2) 1))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ (exp (* 2 (* (pow x 2) (log (sqrt (E)))))) (E))
(exp (* 2 (* (pow x 2) (log (sqrt (E))))))

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

rewrite129.0ms (2.2%)

Memory

-21.9MiB live, 92.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	105
0	46	103
1	156	82
2	991	82
3	7013	82
0	8105	77

Stop Event

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

Counts

18 → 1 155

Calls

Call 1

Inputs
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (E.f64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 x)
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
#s(approx (pow (exp x) x) #s(literal 1 binary64))
(E.f64)
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(*.f64 x x)
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x))) (E.f64))
(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (E.f64))
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) x)
(.f64 #s(literal 2 binary64) (.f64 x x))
(cbrt.f64 (E.f64))

Outputs
(.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 x))
(.f64 (.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) x)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) x))
(.f64 (.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) x) x)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) x) x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 2/3 binary64)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)))) (pow.f64 (E.f64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 2/3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (E.f64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64)) (pow.f64 (.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
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(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) x))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) x)))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (E.f64) (neg.f64 x)) (neg.f64 x))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (neg.f64 x) x))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (.f64 #s(literal 3/2 binary64) (.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (E.f64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x))))
(pow.f64 (cbrt.f64 (E.f64)) (.f64 #s(literal 3 binary64) (.f64 x x)))
(pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x))))
(pow.f64 (E.f64) (*.f64 x x))
(pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
(pow.f64 (exp.f64 x) x)
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) x))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 x) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) x))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) x)))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 x) x)))
(sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (exp.f64 x) x)))
(exp.f64 (.f64 (+.f64 x x) (.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (.f64 (-.f64 (neg.f64 x) x) (.f64 #s(literal -1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (neg.f64 x)) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x))))
(exp.f64 (*.f64 x x))
(.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal 2 binary64) (.f64 x x))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(*.f64 x (+.f64 x x))
(.f64 x (.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) x)))
(neg.f64 (.f64 #s(literal -2 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -1/2 binary64) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (*.f64 x x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 2 binary64) x) (*.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(+.f64 (.f64 x x) (.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2/9 binary64))) (exp.f64 #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/9 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 2/9 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 #s(literal 2/9 binary64)) (exp.f64 #s(literal 1/9 binary64)))
(*.f64 (exp.f64 #s(literal 1/9 binary64)) (exp.f64 #s(literal 2/9 binary64)))
(*.f64 (exp.f64 #s(literal 1/6 binary64)) (exp.f64 #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (E.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (E.f64)))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (E.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal 2/3 binary64))
(pow.f64 (E.f64) #s(literal 1/3 binary64))
(cbrt.f64 (E.f64))
(sqrt.f64 (exp.f64 #s(literal 2/3 binary64)))
(fabs.f64 (cbrt.f64 (E.f64)))
(exp.f64 #s(literal 1/3 binary64))

eval218.0ms (3.7%)

Memory: 14.0MiB live, 171.3MiB allocated
Compiler: Compiled 20 483 to 3 284 computations (84% saved)

prune28.0ms (0.5%)

Memory

10.8MiB live, 55.5MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 317	8	1 325
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	1 321	13	1 334

Accuracy

100.0%

Counts

1 334 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
	100.0%	(pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	100.0%	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (neg.f64 x) x)) (E.f64))
	100.0%	(/.f64 (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/2 binary64) x)) (E.f64))
▶	100.0%	(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
	97.1%	(/.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (E.f64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
	98.7%	(/.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (cbrt.f64 (E.f64))))
	100.0%	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
▶	78.0%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
✓	54.6%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
▶	100.0%	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 (E.f64))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	55.7%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 226 to 189 computations (16.4% saved)

simplify147.0ms (2.5%)

Memory

-6.9MiB live, 107.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (neg.f64 x) x)) (E.f64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
cost-diff	0	(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	(sqrt.f64 (E.f64))
cost-diff	0	(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(E.f64)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(pow.f64 (exp.f64 (neg.f64 x)) x)
cost-diff	0	(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 (E.f64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	147
0	51	145
1	79	142
2	127	141
3	216	140
4	328	140
5	755	140
6	2587	140
7	4580	140
8	5695	140
9	6449	140
10	7262	140
0	8016	140

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.8%)

Memory

-20.2MiB live, 104.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (neg.f64 x) x))
accuracy	0.0078125	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
accuracy	0.0078125	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (neg.f64 x) x)) (E.f64))
accuracy	28.335384064349395	(E.f64)
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.0078125	(pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
accuracy	0.0078125	(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
accuracy	28.335384064349395	(E.f64)
accuracy	0	(*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(sqrt.f64 (E.f64))
accuracy	0.5451351127018658	(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
accuracy	28.335384064349395	(E.f64)
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
accuracy	0.5808845435679426	#s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))
accuracy	28.335384064349395	(E.f64)
accuracy	0.00390625	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 (E.f64))))
accuracy	0.00390625	(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 (E.f64)))
accuracy	0.0078125	(pow.f64 (exp.f64 (neg.f64 x)) x)
accuracy	28.335384064349395	(E.f64)

Samples

50.0ms	139×	0	valid
38.0ms	117×	0	exit

Compiler

Compiled 290 to 61 computations (79% saved)

Precisions

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

ival-pow: 28.0ms (39.3% of total)

ival-div: 21.0ms (29.5% of total)

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

ival-mult: 4.0ms (5.6% of total)

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

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

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

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

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series11.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

18 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((* (pow (exp (neg x)) x) (neg (E))) (pow (exp (neg x)) x) (exp (neg x)) (neg x) (/ (pow (pow (exp x) -1) (neg x)) (E)) (pow (pow (exp x) -1) (neg x)) (+ (* x x) 1) (E) (pow (sqrt (E)) (* 2 (+ (* x x) -1))) (sqrt (E)) (* 2 (+ (* x x) -1)) (/ (pow (exp (neg x)) (neg x)) (E)) (pow (exp (neg x)) (neg x)) (/ (pow (pow (exp x) -1/2) (- (neg x) x)) (E)) (pow (pow (exp x) -1/2) (- (neg x) x)) (pow (exp x) -1/2) (exp x) (/ -1 (* (pow (exp (neg x)) x) (neg (E)))))

3.0ms

inf

((* (pow (exp (neg x)) x) (neg (E))) (pow (exp (neg x)) x) (exp (neg x)) (neg x) (/ (pow (pow (exp x) -1) (neg x)) (E)) (pow (pow (exp x) -1) (neg x)) (+ (* x x) 1) (E) (pow (sqrt (E)) (* 2 (+ (* x x) -1))) (sqrt (E)) (* 2 (+ (* x x) -1)) (/ (pow (exp (neg x)) (neg x)) (E)) (pow (exp (neg x)) (neg x)) (/ (pow (pow (exp x) -1/2) (- (neg x) x)) (E)) (pow (pow (exp x) -1/2) (- (neg x) x)) (pow (exp x) -1/2) (exp x) (/ -1 (* (pow (exp (neg x)) x) (neg (E)))))

3.0ms

((* (pow (exp (neg x)) x) (neg (E))) (pow (exp (neg x)) x) (exp (neg x)) (neg x) (/ (pow (pow (exp x) -1) (neg x)) (E)) (pow (pow (exp x) -1) (neg x)) (+ (* x x) 1) (E) (pow (sqrt (E)) (* 2 (+ (* x x) -1))) (sqrt (E)) (* 2 (+ (* x x) -1)) (/ (pow (exp (neg x)) (neg x)) (E)) (pow (exp (neg x)) (neg x)) (/ (pow (pow (exp x) -1/2) (- (neg x) x)) (E)) (pow (pow (exp x) -1/2) (- (neg x) x)) (pow (exp x) -1/2) (exp x) (/ -1 (* (pow (exp (neg x)) x) (neg (E)))))

simplify160.0ms (2.7%)

Memory

1.2MiB live, 118.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	479
1	432	451
2	1176	420
3	3484	409
4	6538	409
0	8175	359

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite55.0ms (0.9%)

Memory

-6.7MiB live, 32.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	116
0	51	106
1	207	86
0	1273	85

Stop Event

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

Counts

18 → 332

Calls

Call 1

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

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

eval77.0ms (1.3%)

Memory: -3.5MiB live, 34.6MiB allocated
Compiler: Compiled 5 673 to 1 067 computations (81.2% saved)

prune13.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	385	8	393
Fresh	3	2	5
Picked	1	4	5
Done	0	3	3
Total	389	17	406

Accuracy

100.0%

Counts

406 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(pow.f64 (sqrt.f64 (E.f64)) (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
	100.0%	(pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
	99.2%	(/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (neg.f64 x) x)) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
	100.0%	(/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) x)) (-.f64 (neg.f64 x) x)) (E.f64))
✓	100.0%	(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
	100.0%	(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
	77.2%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))
✓	78.0%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
	64.4%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (E.f64))
	26.9%	(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))
✓	54.6%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
	78.0%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))))
	100.0%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (E.f64))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 (E.f64))))
	54.0%	(/.f64 #s(literal -1 binary64) #s(approx (* (pow (exp (neg x)) x) (neg (E))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	55.7%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 543 to 278 computations (48.8% saved)

regimes77.0ms (1.3%)

Memory

-37.5MiB live, 16.5MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

49.0ms	x
7.0ms	(*.f64 x x)
7.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
6.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes29.0ms (0.5%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes24.0ms (0.4%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))

Calls

5 calls:

5.0ms	x
5.0ms	(*.f64 x x)
5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes25.0ms (0.4%)

Memory

-27.5MiB live, 12.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))

Calls

5 calls:

6.0ms	x
5.0ms	(*.f64 x x)
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes22.0ms (0.4%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Calls

5 calls:

5.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes16.0ms (0.3%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Calls

5 calls:

3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
99.5%	2	`x`
99.5%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.5%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.5%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.5%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes15.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (E.f64))

(/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64))

Calls

5 calls:

3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
87.8%	2	`x`
78.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
87.8%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
87.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
87.8%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes12.0ms (0.2%)

Memory

-32.9MiB live, 7.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
78.0%	1	`x`
78.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
78.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
78.0%	1	`(*.f64 x x)`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes10.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
78.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
78.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
78.0%	1	`x`
78.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
78.0%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes7.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
77.7%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
77.7%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
77.7%	2	`x`
77.7%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
77.7%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Outputs
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
54.6%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
54.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
54.6%	1	`x`
54.6%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
54.6%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001861546897654334	260.1070915968064

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.7656431701694724e+293	+inf

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch12.0ms (0.2%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0001861546897654334	260.1070915968064

Samples

5.0ms

144×

valid

Compiler

Compiled 235 to 208 computations (11.5% saved)

Precisions

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

ival-sub: 1.0ms (34.6% of total)

ival-exp: 1.0ms (34.6% of total)

ival-neg: 1.0ms (34.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify36.0ms (0.6%)

Memory

-20.9MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	198
1	85	197
2	124	196
3	167	196
4	221	196
5	253	196
6	309	196
7	361	196
8	368	196
9	374	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (E.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 (E.f64))))
(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 7378697629483821/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (E.f64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Outputs
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (E.f64))))
(/.f64 (neg.f64 #s(literal -1 binary64)) (.f64 (E.f64) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 (E.f64))))
(/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) (E.f64)))
(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) (E.f64))
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 7378697629483821/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (E.f64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (E.f64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (pow (exp x) -1) (neg x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
(if (<=.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64)) (/.f64 #s(approx (pow (pow (exp x) -1) (neg x)) #s(approx (+ ( x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

soundness1.4s (23.5%)

Memory

36.8MiB live, 235.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	92
1	81	86
2	247	82
3	605	79
4	1328	79
5	2025	79
6	3122	79
7	5644	79
0	8367	70
0	159	479
1	432	451
2	1176	420
3	3484	409
4	6538	409
0	8175	359
0	66	205
1	192	197
2	574	179
3	1289	175
4	1842	173
5	2357	173
6	3219	173
7	5188	173
8	7537	173
0	8099	146
0	29	105
0	46	103
1	156	82
2	991	82
3	7013	82
0	8105	77
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16
0	129	445
1	367	413
2	1140	373
3	3137	369
4	6107	369
0	8470	323
0	30	116
0	51	106
1	207	86
0	1273	85
0	14	39
0	21	38
1	90	34
2	561	34
3	4652	34
0	8797	34

Stop Event

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

Compiler

Compiled 687 to 406 computations (40.9% saved)

preprocess51.0ms (0.9%)

Memory: -6.5MiB live, 71.4MiB allocated
Compiler: Compiled 502 to 208 computations (58.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	61	198
1	85	197
2	124	196
3	167	196
4	221	196
5	253	196
6	309	196
7	361	196
8	368	196
9	374	196

Iter	Nodes	Cost
0	61	198
1	85	197
2	124	196
3	167	196
4	221	196
5	253	196
6	309	196
7	361	196
8	368	196
9	374	196

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (17.5%)

explain168.0ms (2.8%)

preprocess189.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify144.0ms (2.4%)

localize18.0ms (0.3%)

series2.0ms (0%)

simplify216.0ms (3.6%)

rewrite272.0ms (4.6%)

eval68.0ms (1.1%)

prune10.0ms (0.2%)

simplify159.0ms (2.7%)

localize65.0ms (1.1%)

series3.0ms (0.1%)

simplify148.0ms (2.5%)

rewrite123.0ms (2.1%)

eval131.0ms (2.2%)

prune11.0ms (0.2%)

simplify139.0ms (2.4%)

localize100.0ms (1.7%)

series8.0ms (0.1%)

simplify227.0ms (3.8%)

rewrite129.0ms (2.2%)

eval218.0ms (3.7%)

prune28.0ms (0.5%)

simplify147.0ms (2.5%)

localize109.0ms (1.8%)

series11.0ms (0.2%)

simplify160.0ms (2.7%)

rewrite55.0ms (0.9%)

eval77.0ms (1.3%)

prune13.0ms (0.2%)

regimes77.0ms (1.3%)

regimes29.0ms (0.5%)

regimes24.0ms (0.4%)

regimes25.0ms (0.4%)

regimes22.0ms (0.4%)

regimes16.0ms (0.3%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

simplify36.0ms (0.6%)

soundness1.4s (23.5%)

preprocess51.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	61	198
1	85	197
2	124	196
3	167	196
4	221	196
5	253	196
6	309	196
7	361	196
8	368	196
9	374	196