Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample826.0ms (12.7%)

Memory

7.0MiB live, 1 200.9MiB allocated

Samples

611.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 393.0ms

ival-mult: 144.0ms (36.7% of total)

ival-exp: 106.0ms (27% of total)

ival-sub: 68.0ms (17.3% of total)

ival-neg: 61.0ms (15.5% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain94.0ms (1.4%)

Memory

-13.1MiB live, 141.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

29.0ms

512×

valid

Compiler

Compiled 80 to 28 computations (65% saved)

Precisions

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

ival-exp: 8.0ms (45.2% of total)

ival-mult: 4.0ms (22.6% of total)

ival-sub: 3.0ms (17% of total)

ival-neg: 2.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess151.0ms (2.3%)

Memory

-6.9MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	40	13
2	132	13
3	477	13
4	1940	13
0	6	7
0	10	7
1	32	6
2	94	6
3	354	6
4	1438	6
0	9320	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

0.8MiB live, 0.8MiB 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)

simplify173.0ms (2.6%)

Memory

2.6MiB live, 163.4MiB 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	2	(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	32	21
2	94	21
3	354	21
4	1438	21
0	9320	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

localize34.0ms (0.5%)

Memory

-4.8MiB live, 31.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.00390625	(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 (28.7% of total)

ival-mult: 2.0ms (28.7% of total)

ival-sub: 1.0ms (14.3% of total)

ival-neg: 1.0ms (14.3% 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

3.6MiB live, 3.6MiB 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	@	0	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
1.0ms	x	@	inf	((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

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

1.0ms

inf

((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))

simplify269.0ms (4.1%)

Memory

22.8MiB live, 337.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	92
1	105	86
2	487	82
3	2918	79
0	8175	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 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #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 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 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))
(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))
(-.f64 #s(literal 1 binary64) (*.f64 x x))

rewrite141.0ms (2.2%)

Memory

-17.0MiB live, 259.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	48	19
2	357	19
3	3699	19
0	8352	16

Stop Event

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

Counts

4 → 481

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

eval138.0ms (2.1%)

Memory: 25.7MiB live, 154.5MiB allocated
Compiler: Compiled 9 009 to 1 482 computations (83.5% saved)

prune15.0ms (0.2%)

Memory

5.9MiB live, 41.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	489	3	492
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	490	3	493

Accuracy

100.0%

Counts

493 → 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)))
▶	52.4%	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Compiler

Compiled 20 to 17 computations (15% saved)

simplify166.0ms (2.5%)

Memory

-25.0MiB live, 137.8MiB 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	1	(/.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	58	38
2	170	38
3	548	38
4	2626	38
0	8521	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)

localize39.0ms (0.6%)

Memory

25.6MiB live, 62.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 (exp.f64 x) x)
accuracy	0.0	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
accuracy	0.0	(exp.f64 x)
accuracy	0.0	(E.f64)
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.00390625	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.00390625	(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))
accuracy	31.183829359938333	#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))

Samples

30.0ms

256×

valid

Compiler

Compiled 86 to 29 computations (66.3% saved)

Precisions

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

ival-exp: 6.0ms (29.8% of total)

ival-pow: 5.0ms (24.8% of total)

ival-div: 2.0ms (9.9% of total)

ival-mult: 2.0ms (9.9% of total)

ival-e: 2.0ms (9.9% of total)

ival-add: 1.0ms (5% of total)

ival-sub: 1.0ms (5% of total)

ival-neg: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory

-26.4MiB live, 18.9MiB 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
21.0ms	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

21.0ms

((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))

simplify141.0ms (2.2%)

Memory

-0.9MiB live, 191.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	205
1	254	191
2	1120	177
3	5056	173
0	8282	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 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))) (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 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))) (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 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)))
(+ 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)

rewrite194.0ms (3%)

Memory

-18.3MiB live, 232.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	21	38
1	110	34
2	855	34
0	8988	34

Stop Event

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

Counts

8 → 931

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

eval102.0ms (1.6%)

Memory: 22.9MiB live, 180.1MiB allocated
Compiler: Compiled 12 057 to 2 003 computations (83.4% saved)

prune43.0ms (0.7%)

Memory

-11.2MiB live, 34.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	778	4	782
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	780	5	785

Accuracy

100.0%

Counts

785 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	52.4%	(/.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)))
▶	100.0%	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	57.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 43 to 33 computations (23.3% saved)

simplify163.0ms (2.5%)

Memory

29.6MiB live, 143.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(E.f64)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
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	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
cost-diff	3	(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	30	91
1	74	85
2	210	85
3	653	85
4	2750	85
0	8895	81

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.7%)

Memory

-18.0MiB live, 66.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
accuracy	0.0	(E.f64)
accuracy	14.130278036681764	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.0	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
accuracy	0.0	(E.f64)
accuracy	30.467656479550957	#s(approx (pow (exp x) x) #s(literal 1 binary64))
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
accuracy	0.015625	(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	32.294928334595205	#s(approx (neg (- 1 (* x x))) (*.f64 x x))

Samples

87.0ms

256×

valid

Compiler

Compiled 163 to 38 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-exp: 6.0ms (25.1% of total)

ival-mult: 4.0ms (16.7% of total)

ival-pow: 4.0ms (16.7% of total)

ival-div: 2.0ms (8.4% of total)

ival-add: 2.0ms (8.4% of total)

ival-e: 2.0ms (8.4% of total)

ival-sub: 2.0ms (8.4% of total)

ival-neg: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

13 → 28

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify274.0ms (4.2%)

Memory

-23.4MiB live, 167.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	211
1	272	197
2	1157	183
3	5894	179
0	8057	154

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

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

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

rewrite463.0ms (7.1%)

Memory

5.2MiB live, 286.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
0	30	84
1	142	78
2	1133	78
0	8944	76

Stop Event

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

Counts

13 → 1 260

Calls

Call 1

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

Outputs
(.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 2 binary64)) (.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) (sinh.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))))))
(.f64 #s(literal 1 binary64) (exp.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 2 binary64))) (-.f64 (sinh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) (cosh.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 2 binary64)) (.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) (cosh.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) (.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) (.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 2 binary64)) (.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) (sinh.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x))))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 ( x x))) (.f64 x x))) #s(literal 2 binary64)) (.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (.f64 x x))) (sinh.f64 #s(approx (neg (- 1 ( x x))) (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.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 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #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 #s(literal 0 binary64) (*.f64 (neg.f64 (/.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))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.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))))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.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))
(fabs.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.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 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (neg.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))) (/.f64 #s(literal -1 binary64) (fma.f64 x 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 (*.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))

eval434.0ms (6.6%)

Memory: 27.9MiB live, 380.2MiB allocated
Compiler: Compiled 34 304 to 4 138 computations (87.9% saved)

prune113.0ms (1.7%)

Memory

-31.7MiB live, 93.9MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 674	4	1 678
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	1 674	9	1 683

Accuracy

100.0%

Counts

1 683 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.1%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64)))))
✓	77.9%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
▶	77.7%	(/.f64 #s(approx (pow (exp x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (E.f64))
✓	52.4%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
▶	77.9%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
▶	77.9%	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	100.0%	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	57.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 109 to 76 computations (30.3% saved)

simplify110.0ms (1.7%)

Memory

22.3MiB live, 60.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64)))))
cost-diff	2	(/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64)))
cost-diff	6	(*.f64 (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))))
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	#s(approx (pow (exp x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(approx (pow (exp x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (E.f64))
cost-diff	1	(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
cost-diff	0	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	(/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	0	(E.f64)
cost-diff	0	(sqrt.f64 (E.f64))
cost-diff	1	(/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64)))
cost-diff	6	(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	193
0	40	183
1	91	180
2	289	174
3	1241	161
4	5854	158
0	8156	158

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.2%)

Memory

16.2MiB live, 54.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.51953125	(/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64)))
accuracy	0.51953125	(*.f64 (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))))
accuracy	0.6649254725410699	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	29.788480683033985	(E.f64)
accuracy	0.0	(-.f64 x #s(literal -1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
accuracy	0.7872248613619691	#s(approx (pow (exp x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
accuracy	29.788480683033985	(E.f64)
accuracy	0.0	(/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.6649254725410699	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	29.788480683033985	(E.f64)
accuracy	0.0	(neg.f64 (sqrt.f64 (E.f64)))
accuracy	0.00390625	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64))))
accuracy	0.6649254725410699	#s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy	29.788480683033985	(E.f64)

Samples

23.0ms	123×	0	exit
23.0ms	133×	0	valid

Compiler

Compiled 335 to 47 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 10.0ms (31.3% of total)

ival-mult: 6.0ms (18.8% of total)

ival-pow: 5.0ms (15.6% of total)

ival-exp: 2.0ms (6.3% of total)

ival-e: 2.0ms (6.3% of total)

ival-sqrt: 2.0ms (6.3% of total)

ival-neg: 2.0ms (6.3% of total)

ival-add: 1.0ms (3.1% of total)

ival-sub: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.6%)

Memory

-31.7MiB live, 11.1MiB allocated

Counts

16 → 28

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

39.0ms

inf

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

2.0ms

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

1.0ms

-inf

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

simplify214.0ms (3.3%)

Memory

30.5MiB live, 103.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	295
1	361	260
2	1651	231
3	6394	228
0	8361	204

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

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

rewrite121.0ms (1.9%)

Memory

-18.6MiB live, 66.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	147
0	40	131
1	185	110
0	1362	110

Stop Event

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

Counts

16 → 603

Calls

Call 1

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

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

eval179.0ms (2.7%)

Memory: -1.3MiB live, 196.8MiB allocated
Compiler: Compiled 27 544 to 3 171 computations (88.5% saved)

prune78.0ms (1.2%)

Memory

-6.8MiB live, 72.3MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	1 169	13	1 182
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	1 171	20	1 191

Accuracy

100.0%

Counts

1 191 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.1%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64)))))
✓	77.9%	(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))
	63.6%	(/.f64 #s(approx (pow (exp x) x) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (E.f64))
	84.6%	(/.f64 #s(approx (pow (exp x) x) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (E.f64))
	77.7%	(/.f64 #s(approx (pow (exp x) x) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (E.f64))
	77.7%	(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- x -1)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)))) (E.f64))
	29.7%	(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- x -1)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (E.f64))
	29.1%	(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- x -1)) (*.f64 x x))) (E.f64))
✓	52.4%	(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
✓	77.9%	(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
	77.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
	77.9%	(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
	51.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (E.f64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (E.f64))) (.f64 x x) (neg.f64 (E.f64))) (*.f64 x x) (E.f64))))
	51.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) (*.f64 x x) (E.f64))))
	77.9%	(*.f64 (/.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64)))
	77.1%	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (E.f64) (sqrt.f64 (E.f64)))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
	77.9%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	100.0%	(exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	57.9%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Compiler

Compiled 740 to 336 computations (54.6% saved)

regimes44.0ms (0.7%)

Memory

-8.5MiB live, 36.9MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- 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 (exp x) x) #s(approx (* (- x -1) (- x -1)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- x -1)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) (*.f64 x x) (E.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (E.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (E.f64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (E.f64))) (.f64 x x) (neg.f64 (E.f64))) (*.f64 x x) (E.f64))))
(*.f64 (/.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (E.f64) (sqrt.f64 (E.f64)))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (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))))
(exp.f64 (*.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:

20.0ms	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)

regimes29.0ms (0.4%)

Memory

35.7MiB live, 35.7MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- 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 (exp x) x) #s(approx (* (- x -1) (- x -1)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- x -1)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) (*.f64 x x) (E.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (E.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (E.f64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (E.f64))) (.f64 x x) (neg.f64 (E.f64))) (*.f64 x x) (E.f64))))
(*.f64 (/.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (E.f64) (sqrt.f64 (E.f64)))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (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))))
(exp.f64 (*.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:

6.0ms	x
6.0ms	(*.f64 x x)
5.0ms	(-.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)

regimes51.0ms (0.8%)

Memory

-30.0MiB live, 48.9MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- 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 (exp x) x) #s(approx (* (- x -1) (- x -1)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- x -1)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) (*.f64 x x) (E.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (E.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (E.f64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (E.f64))) (.f64 x x) (neg.f64 (E.f64))) (*.f64 x x) (E.f64))))
(*.f64 (/.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (E.f64) (sqrt.f64 (E.f64)))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (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) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (E.f64)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (E.f64))) (*.f64 x x) (neg.f64 (E.f64))) (*.f64 x x) (E.f64))))

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

Calls

5 calls:

22.0ms	(*.f64 x x)
14.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms	(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
99.8%	2	`x`
99.8%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.8%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.8%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes33.0ms (0.5%)

Memory

12.0MiB live, 50.7MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- 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 (exp x) x) #s(approx (* (- x -1) (- x -1)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) #s(approx (* (- x -1) (- x -1)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (E.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (.f64 (E.f64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) (*.f64 x x) (E.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (E.f64))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (E.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (E.f64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (E.f64))) (.f64 x x) (neg.f64 (E.f64))) (*.f64 x x) (E.f64))))
(*.f64 (/.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (.f64 (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))) (sqrt.f64 (E.f64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (E.f64) (sqrt.f64 (E.f64)))) (/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (E.f64)))))
(/.f64 #s(approx (pow (exp x) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 (E.f64)) (sqrt.f64 (E.f64)))))
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))

Outputs

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

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

Calls

5 calls:

13.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
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)))

Results

Accuracy	Segments	Branch
89.4%	2	`x`
84.6%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
89.4%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
89.4%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
89.4%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes32.0ms (0.5%)

Memory

-7.6MiB live, 33.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	x
3.0ms	(*.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
84.6%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
84.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
84.6%	1	`x`
84.6%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
84.6%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes27.0ms (0.4%)

Memory

-8.8MiB live, 30.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

15.0ms	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
77.9%	1	`x`
77.9%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
77.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
77.9%	1	`(*.f64 x x)`
77.9%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB 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 (exp x) x) #s(approx (* (- x -1) (- 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 (exp x) x) #s(approx (* (- x -1) (- 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
77.9%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
77.9%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
77.9%	2	`x`
77.9%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
77.9%	2	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB 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	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.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)))

Results

Accuracy	Segments	Branch
52.4%	1	`x`
52.4%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
52.4%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
52.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
52.4%	1	`(*.f64 x x)`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.18723126881276272	6923.3430677204815

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0023754432523869e+306	+inf

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch13.0ms (0.2%)

Memory

-18.0MiB live, 21.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.18723126881276272	6923.3430677204815

Samples

7.0ms

128×

valid

Compiler

Compiled 202 to 162 computations (19.8% saved)

Precisions

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

ival-neg: 3.0ms (58.1% of total)

ival-sub: 1.0ms (19.4% of total)

ival-exp: 1.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify65.0ms (1%)

Memory

15.7MiB live, 55.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	176
1	95	176
2	220	175
3	781	175
4	2540	175
5	7669	175

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (E.f64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (E.f64))) (.f64 x x) (neg.f64 (E.f64))) (.f64 x x) (E.f64)))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 #s(approx (pow (exp x) x) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (E.f64)) (/.f64 #s(approx (pow (exp x) x) #s(approx ( (- x -1) (- x -1)) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (E.f64))
(/.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 (exp x) x) #s(approx ( (- x -1) (- x -1)) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

Outputs
(/.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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (E.f64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (E.f64))) (.f64 x x) (neg.f64 (E.f64))) (.f64 x x) (E.f64)))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/18014398509481984 binary64)) (pow.f64 #s(approx (/ (E) (pow (exp x) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (E.f64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) (E.f64))) (.f64 x x) (neg.f64 (E.f64))) (.f64 x x) (E.f64))) #s(literal -1 binary64)) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 #s(approx (pow (exp x) x) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (E.f64)) (/.f64 #s(approx (pow (exp x) x) #s(approx ( (- x -1) (- x -1)) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (E.f64))
(/.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 (exp x) x) #s(approx ( (- x -1) (- x -1)) (*.f64 x x))) (E.f64)))
(/.f64 #s(approx (pow (exp x) x) #s(literal 1 binary64)) (E.f64))

soundness1.2s (18.9%)

Memory

-11.2MiB live, 951.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	147
0	40	131
1	185	110
0	1362	110
0	6	21
0	10	21
1	48	19
2	357	19
3	3699	19
0	8352	16
0	30	92
1	105	86
2	487	82
3	2918	79
0	8175	70
0	66	205
1	254	191
2	1120	177
3	5056	173
0	8282	146
0	95	295
1	361	260
2	1651	231
3	6394	228
0	8361	204
0	20	84
0	30	84
1	142	78
2	1133	78
0	8944	76

Stop Event

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

Compiler

Compiled 405 to 234 computations (42.2% saved)

preprocess47.0ms (0.7%)

Memory: 13.8MiB live, 94.4MiB allocated
Remove: (abs x)
Compiler: Compiled 378 to 142 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample826.0ms (12.7%)

explain94.0ms (1.4%)

preprocess151.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify173.0ms (2.6%)

localize34.0ms (0.5%)

series2.0ms (0%)

simplify269.0ms (4.1%)

rewrite141.0ms (2.2%)

eval138.0ms (2.1%)

prune15.0ms (0.2%)

simplify166.0ms (2.5%)

localize39.0ms (0.6%)

series23.0ms (0.4%)

simplify141.0ms (2.2%)

rewrite194.0ms (3%)

eval102.0ms (1.6%)

prune43.0ms (0.7%)

simplify163.0ms (2.5%)

localize114.0ms (1.7%)

series4.0ms (0.1%)

simplify274.0ms (4.2%)

rewrite463.0ms (7.1%)

eval434.0ms (6.6%)

prune113.0ms (1.7%)

simplify110.0ms (1.7%)

localize81.0ms (1.2%)

series42.0ms (0.6%)

simplify214.0ms (3.3%)

rewrite121.0ms (1.9%)

eval179.0ms (2.7%)

prune78.0ms (1.2%)

regimes44.0ms (0.7%)

regimes29.0ms (0.4%)

regimes51.0ms (0.8%)

regimes33.0ms (0.5%)

regimes32.0ms (0.5%)

regimes27.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

simplify65.0ms (1%)

soundness1.2s (18.9%)

preprocess47.0ms (0.7%)

end0.0ms (0%)

Profiling