Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample5.0s (43%)

Memory

39.4MiB live, 3 028.3MiB allocated

Samples

4.0s	5 620×	2	valid
475.0ms	2 426×	1	valid
13.0ms	210×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-exp: 3.1s (74.8% of total)

ival-add: 345.0ms (8.3% of total)

adjust: 328.0ms (7.9% of total)

ival-sub: 213.0ms (5.1% of total)

ival-neg: 63.0ms (1.5% of total)

ival-fabs: 55.0ms (1.3% of total)

ival-<=: 28.0ms (0.7% of total)

exact: 10.0ms (0.2% of total)

ival-assert: 5.0ms (0.1% of total)

Bogosity

explain358.0ms (3.1%)

Memory

8.4MiB live, 323.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	0	-	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 x)`
0	3	(680.2065696363156)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	130	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	3	0

Confusion

	Predicted +	Predicted -
+	130	0
-	3	123

Precision

0.9774436090225563

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	3	0	123

Precision?

0.9774436090225563

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

228.0ms	340×	2	valid
23.0ms	154×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-exp: 139.0ms (61.1% of total)

adjust: 72.0ms (31.7% of total)

ival-sub: 7.0ms (3.1% of total)

ival-add: 6.0ms (2.6% of total)

ival-neg: 2.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess28.0ms (0.2%)

Memory

3.7MiB live, 42.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))

Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify12.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize97.0ms (0.8%)

Memory

-27.8MiB live, 172.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.03125	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	28.549425473750887	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

75.0ms	170×	2	valid
12.0ms	77×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-exp: 51.0ms (68.7% of total)

ival-add: 10.0ms (13.5% of total)

adjust: 8.0ms (10.8% of total)

ival-sub: 4.0ms (5.4% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

4 → 21

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(exp x)
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(exp (* -1 x))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

Time

Variable

Point

Expression

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

0.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

0.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

simplify178.0ms (1.5%)

Memory

25.8MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	160
1	168	159
2	397	153
3	1060	153
4	1762	153
5	3034	153
6	3863	153
7	5255	153
8	6661	153
0	8428	132

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(exp x)
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(exp (* -1 x))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
1
#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))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite166.0ms (1.4%)

Memory

-10.1MiB live, 184.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	51	17
2	394	17
3	6874	15
0	8346	14

Stop Event

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

Counts

4 → 237

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))

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

eval39.0ms (0.3%)

Memory: 23.9MiB live, 70.9MiB allocated
Compiler: Compiled 6 353 to 791 computations (87.5% saved)

prune10.0ms (0.1%)

Memory

-9.5MiB live, 28.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	247	9	256
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	9	257

Accuracy

100.0%

Counts

257 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.8%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
	55.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	55.1%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
▶	55.4%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
	55.4%	(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
▶	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
▶	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
▶	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 262 to 192 computations (26.7% saved)

simplify127.0ms (1.1%)

Memory

-19.8MiB live, 58.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
cost-diff	5	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (exp.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	1	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff	0	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	172
0	45	168
1	81	166
2	145	166
3	237	166
4	363	166
5	497	166
6	626	166
7	843	166
8	963	166
9	1100	166
10	1266	166
11	1632	166
12	2058	166
13	2542	166
14	2719	166
15	2935	166
16	3039	166
17	3049	166
18	3049	166
19	3049	166
0	3049	166

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
#s(literal -1 binary64)
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
x
#s(literal -1/2 binary64)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
#s(literal -1 binary64)
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
x
#s(literal -1/2 binary64)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)

localize361.0ms (3.1%)

Memory

18.2MiB live, 328.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01953125	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
accuracy	0.03125	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	28.408272806524522	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
accuracy	0.0	(exp.f64 x)
accuracy	0.03125	(/.f64 #s(literal -1 binary64) (exp.f64 x))
accuracy	0.03125	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	28.549425473750887	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	1.136484328462546	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	1.5696377142187772	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0.00390625	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.0078125	(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.8785694704444512	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))

Samples

289.0ms	170×	2	valid
44.0ms	77×	1	valid
2.0ms	9×	0	valid

Compiler

Compiled 149 to 30 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-pow: 160.0ms (54.1% of total)

ival-exp: 49.0ms (16.6% of total)

adjust: 33.0ms (11.2% of total)

ival-mult: 14.0ms (4.7% of total)

const: 13.0ms (4.4% of total)

ival-add: 13.0ms (4.4% of total)

ival-sub: 7.0ms (2.4% of total)

ival-div: 5.0ms (1.7% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series9.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

15 → 36

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 6)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(pow x 4)
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(exp x)
(/ -1 (exp x))
(sqrt (/ 1 (exp x)))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2))
3.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2))
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2))

Time

Variable

Point

Expression

4.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2))

3.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2))

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2))

simplify179.0ms (1.5%)

Memory

4.6MiB live, 153.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	291
1	272	291
2	625	283
3	1622	283
4	2539	283
5	5004	283
6	7171	283
0	8141	248

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 6)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(pow x 4)
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(exp x)
(/ -1 (exp x))
(sqrt (/ 1 (exp x)))
(- (+ (exp x) (exp (* -1 x))) 2)

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
1
#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))
(- (* x (+ 1 (* -1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x))))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp x)
(exp.f64 x)
(/ -1 (exp x))
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(sqrt (/ 1 (exp x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))

rewrite215.0ms (1.8%)

Memory

-9.7MiB live, 195.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	133
0	45	129
1	195	127
2	1578	117
0	8884	112

Stop Event

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

Counts

15 → 490

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (exp.f64 x) #s(literal -1 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (neg.f64 (exp.f64 x))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 (exp.f64 x)))) (/.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 (exp.f64 x)))))
(-.f64 (/.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x)) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (/.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))
(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (exp.f64 x))) (/.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 (fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/4 binary64))))
(exp.f64 (.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) x))

eval58.0ms (0.5%)

Memory: 11.7MiB live, 86.1MiB allocated
Compiler: Compiled 15 102 to 1 504 computations (90% saved)

prune12.0ms (0.1%)

Memory

-8.8MiB live, 29.9MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	501	6	507
Fresh	2	2	4
Picked	4	1	5
Done	0	0	0
Total	507	9	516

Accuracy

100.0%

Counts

516 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal -3/4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
▶	55.8%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
	55.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	55.1%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x)) (*.f64 x x)))
▶	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
▶	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
▶	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
✓	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 302 to 209 computations (30.8% saved)

simplify144.0ms (1.2%)

Memory

22.4MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
cost-diff	1	(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
cost-diff	0	#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
cost-diff	4	(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	288
0	76	300
1	125	280
2	208	270
3	393	270
4	717	270
5	1439	270
6	3351	270
7	6451	270
0	8078	266

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
x
#s(literal -1/2 binary64)
#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
#s(literal -2 binary64)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
#s(literal 1/12 binary64)
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
x
#s(literal -1/2 binary64)
#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (sinh.f64 x) #s(literal -2 binary64) #s(literal 2 binary64)))
(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
#s(literal -2 binary64)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh.f64 x)

localize441.0ms (3.8%)

Memory

-5.9MiB live, 412.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0.04753876953688403	(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	0.2516312376814669	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
accuracy	28.56248697334944	(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
accuracy	0.01953125	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
accuracy	0.0234375	(sqrt.f64 (exp.f64 (neg.f64 x)))
accuracy	0.03125	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	28.408272806524522	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.109375	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	1.136484328462546	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.11947250976844201	(.f64 (.f64 x x) (*.f64 x x))
accuracy	1.136484328462546	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0.0078125	(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))
accuracy	0.046875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
accuracy	0.203125	(.f64 (.f64 x x) #s(literal 1/12 binary64))
accuracy	0.8785694704444512	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))

Samples

322.0ms	166×	2	valid
74.0ms	81×	1	valid
3.0ms	9×	0	valid

Compiler

Compiled 245 to 42 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-pow: 161.0ms (45% of total)

ival-exp: 56.0ms (15.6% of total)

adjust: 40.0ms (11.2% of total)

ival-add: 32.0ms (8.9% of total)

const: 21.0ms (5.9% of total)

ival-mult: 19.0ms (5.3% of total)

ival-sub: 8.0ms (2.2% of total)

ival-pow2: 7.0ms (2% of total)

ival-div: 5.0ms (1.4% of total)

ival-sqrt: 5.0ms (1.4% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

ival-sinh: 1.0ms (0.3% of total)

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

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

series15.0ms (0.1%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

23 → 51

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(pow x 4)
(* 1/12 (pow x 4))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 x) 2))
(* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(sqrt (/ 1 (exp x)))
(exp x)
(- (exp x) (+ 2 (/ 1 (exp x))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(pow (- (exp x) 2) 2)
(- (exp x) 2)
(sqrt (exp (neg x)))
(/ 1 (pow (exp x) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(sqrt (exp (* -1 x)))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) (exp x) (pow (exp x) -1/2) (+ -2 (* 2 (sinh x))) (/ (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (+ -2 (* 2 (sinh x)))) (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (pow (- (exp x) 2) 2) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (- (exp x) 2) (sqrt (exp (neg x))) (pow (exp x) -2))

5.0ms

-inf

((+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) (exp x) (pow (exp x) -1/2) (+ -2 (* 2 (sinh x))) (/ (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (+ -2 (* 2 (sinh x)))) (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (pow (- (exp x) 2) 2) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (- (exp x) 2) (sqrt (exp (neg x))) (pow (exp x) -2))

4.0ms

((+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) (exp x) (pow (exp x) -1/2) (+ -2 (* 2 (sinh x))) (/ (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (+ -2 (* 2 (sinh x)))) (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (pow (- (exp x) 2) 2) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (- (exp x) 2) (sqrt (exp (neg x))) (pow (exp x) -2))

simplify182.0ms (1.6%)

Memory

-13.2MiB live, 175.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	457
1	400	457
2	920	446
3	2416	443
4	3997	443
5	5338	443
0	8070	396

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(pow x 4)
(* 1/12 (pow x 4))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 x) 2))
(* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(sqrt (/ 1 (exp x)))
(exp x)
(- (exp x) (+ 2 (/ 1 (exp x))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(pow (- (exp x) 2) 2)
(- (exp x) 2)
(sqrt (exp (neg x)))
(/ 1 (pow (exp x) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(sqrt (exp (* -1 x)))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
(* 1/12 (pow x 2))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 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))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* (pow x 2) (- (* 2 x) 2))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/6 binary64)) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) x)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x #s(literal 1 binary64))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/360 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(sqrt (/ 1 (exp x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (exp.f64 x)))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow (- (exp x) 2) 2)
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(sqrt (exp (neg x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(sqrt (exp (* -1 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))

rewrite205.0ms (1.8%)

Memory

42.0MiB live, 236.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	230
0	76	212
1	295	212
2	1981	212
0	9190	208

Stop Event

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

Counts

23 → 669

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))))) (.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))))) (.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x))) (.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x))) (.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64))))))
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(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 8 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (exp.f64 (log.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))) (exp.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (exp.f64 (log.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) x)
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(fabs.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (fma.f64 x #s(literal -1/4 binary64) (*.f64 x #s(literal -1/4 binary64))))
(exp.f64 (.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) x)
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 x x))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))

eval90.0ms (0.8%)

Memory: -18.1MiB live, 143.1MiB allocated
Compiler: Compiled 28 809 to 2 572 computations (91.1% saved)

prune164.0ms (1.4%)

Memory

-24.4MiB live, 66.9MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	706	9	715
Fresh	1	2	3
Picked	4	1	5
Done	0	1	1
Total	711	13	724

Accuracy

100.0%

Counts

724 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal -3/4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
▶	55.7%	(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
▶	55.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	55.1%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
	55.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
▶	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
✓	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(approx ( (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))))
	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
▶	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
✓	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
▶	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))

Compiler

Compiled 581 to 366 computations (37% saved)

simplify186.0ms (1.6%)

Memory

27.6MiB live, 144.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(sqrt.f64 (exp.f64 (neg.f64 x)))
cost-diff	0	(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
cost-diff	0	(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
cost-diff	0	#s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
cost-diff	2	(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
cost-diff	2	(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	311
0	80	309
1	151	299
2	296	299
3	513	290
4	751	286
5	1022	286
6	1719	286
7	3354	286
8	6055	286
0	8042	280

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) x))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) x)
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x))
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))
#s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (sqrt.f64 (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(literal 2 binary64)

localize541.0ms (4.6%)

Memory

5.9MiB live, 634.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))
accuracy	0.0234375	(sqrt.f64 (exp.f64 (neg.f64 x)))
accuracy	0.03125	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	28.408272806524522	(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
accuracy	0.015625	(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
accuracy	0.0234375	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.8785694704444512	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
accuracy	0.9264820718804986	#s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
accuracy	0.0	(cosh.f64 x)
accuracy	28.607050654770504	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
accuracy	0.0234375	(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
accuracy	0.3984375	(*.f64 #s(literal 1/12 binary64) x)
accuracy	1.136484328462546	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
accuracy	0.0234375	(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))
accuracy	0.046875	(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
accuracy	0.3984375	(*.f64 #s(literal 1/12 binary64) x)
accuracy	0.8785694704444512	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))

Samples

379.0ms	170×	2	valid
79.0ms	77×	1	valid
3.0ms	9×	0	valid

Compiler

Compiled 232 to 47 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-pow: 149.0ms (35.8% of total)

ival-mult: 72.0ms (17.3% of total)

ival-exp: 55.0ms (13.2% of total)

adjust: 40.0ms (9.6% of total)

ival-cosh: 37.0ms (8.9% of total)

ival-add: 35.0ms (8.4% of total)

const: 16.0ms (3.8% of total)

ival-sqrt: 7.0ms (1.7% of total)

ival-sub: 4.0ms (1% of total)

exact: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

series36.0ms (0.3%)

Memory

-21.0MiB live, 15.8MiB allocated

Counts

20 → 56

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 x)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (sqrt (/ (exp (neg x)) (exp x)))) 2)
(sqrt (exp (neg x)))
(exp (neg x))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (exp x) 2)
(sqrt (/ 1 (exp x)))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (sqrt (/ (exp (* -1 x)) (exp x)))) 2)
(sqrt (exp (* -1 x)))
(exp (* -1 x))

Calls

3 calls:

Time

Variable

Point

Expression

26.0ms

-inf

((+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* 2 (cosh x)) -2) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (+ (* (sqrt (exp (neg x))) (pow (exp x) -1/2)) (- (exp x) 2)) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* 1/360 (* x x)) 1/12) (- (exp x) 2) (pow (exp x) -1/2))

5.0ms

((+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* 2 (cosh x)) -2) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (+ (* (sqrt (exp (neg x))) (pow (exp x) -1/2)) (- (exp x) 2)) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* 1/360 (* x x)) 1/12) (- (exp x) 2) (pow (exp x) -1/2))

4.0ms

inf

((+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* 2 (cosh x)) -2) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (+ (* (sqrt (exp (neg x))) (pow (exp x) -1/2)) (- (exp x) 2)) (sqrt (exp (neg x))) (exp (neg x)) (neg x) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* 1/360 (* x x)) 1/12) (- (exp x) 2) (pow (exp x) -1/2))

simplify161.0ms (1.4%)

Memory

41.9MiB live, 156.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	480
1	433	479
2	995	457
3	2597	455
4	4257	455
5	5806	455
0	8334	404

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 55

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 x)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (sqrt (/ (exp (neg x)) (exp x)))) 2)
(sqrt (exp (neg x)))
(exp (neg x))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (exp x) 2)
(sqrt (/ 1 (exp x)))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (sqrt (/ (exp (* -1 x)) (exp x)))) 2)
(sqrt (exp (* -1 x)))
(exp (* -1 x))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x))
(* 1/360 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(- (+ (exp x) (sqrt (/ (exp (neg x)) (exp x)))) 2)
(-.f64 (fabs.f64 (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(sqrt (exp (neg x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp (neg x))
(exp.f64 (neg.f64 x))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(sqrt (/ 1 (exp x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(- (+ (exp x) (sqrt (/ (exp (* -1 x)) (exp x)))) 2)
(-.f64 (fabs.f64 (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(sqrt (exp (* -1 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite256.0ms (2.2%)

Memory

-6.7MiB live, 254.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	261
0	80	259
1	326	240
2	2261	240
0	9448	230

Stop Event

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

Counts

20 → 632

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))) (-.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)))) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))) (-.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/46656000 binary64))) (fma.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3 binary64)) #s(literal 1/8193540096000 binary64) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))) (.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))))))
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(-.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 8 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (exp.f64 x) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
#s(approx (pow (exp x) -1/2) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) x))

eval175.0ms (1.5%)

Memory: -13.9MiB live, 298.1MiB allocated
Compiler: Compiled 31 431 to 2 811 computations (91.1% saved)

prune143.0ms (1.2%)

Memory

-15.1MiB live, 69.7MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	773	9	782
Fresh	2	4	6
Picked	3	2	5
Done	1	1	2
Total	779	16	795

Accuracy

100.0%

Counts

795 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.8%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal -3/4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
✓	55.7%	(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
✓	55.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	53.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
	53.7%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
	53.4%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
	55.1%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
	55.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
	53.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)))
✓	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (fma.f64 x x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)))

Compiler

Compiled 1 170 to 423 computations (63.8% saved)

regimes21.0ms (0.2%)

Memory

20.3MiB live, 56.8MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (fma.f64 x x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(approx ( (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal -3/4 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))

Calls

2 calls:

10.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
9.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes13.0ms (0.1%)

Memory

-22.7MiB live, 16.2MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (fma.f64 x x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(approx ( (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)))

Calls

2 calls:

6.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
6.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes11.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (fma.f64 x x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(approx ( (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (fma.f64 x x (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))

Calls

2 calls:

5.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes9.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)))

Calls

2 calls:

5.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes14.0ms (0.1%)

Memory

-30.8MiB live, 7.7MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))

Calls

2 calls:

11.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
3.0ms	x

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Accuracy

Total -28.8b remaining (-1836.8%)

Threshold costs -28.8b (-1836.8%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

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

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify74.0ms (0.6%)

Memory

-0.4MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	232
1	113	228
2	199	222
3	314	222
4	484	222
5	751	222
6	1302	222
7	2691	222
8	6075	222

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (fma.f64 x x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (fma.f64 x x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (fma.f64 x x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

soundness1.8s (15.4%)

Memory

-13.8MiB live, 1 099.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	261
0	80	259
1	326	240
2	2261	240
0	9448	230
0	60	160
1	168	159
2	397	153
3	1060	153
4	1762	153
5	3034	153
6	3863	153
7	5255	153
8	6661	153
0	8428	132
0	29	133
0	45	129
1	195	127
2	1578	117
0	8884	112
0	45	230
0	76	212
1	295	212
2	1981	212
0	9190	208
0	148	480
1	433	479
2	995	457
3	2597	455
4	4257	455
5	5806	455
0	8334	404
0	152	457
1	400	457
2	920	446
3	2416	443
4	3997	443
5	5338	443
0	8070	396

Stop Event

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

Compiler

Compiled 573 to 305 computations (46.8% saved)

preprocess110.0ms (0.9%)

Memory: 26.3MiB live, 111.2MiB allocated
Remove: (abs x)
Compiler: Compiled 680 to 270 computations (60.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21

start0.0ms (0%)

analyze0.0ms (0%)

sample5.0s (43%)

explain358.0ms (3.1%)

preprocess28.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.1%)

localize97.0ms (0.8%)

series1.0ms (0%)

simplify178.0ms (1.5%)

rewrite166.0ms (1.4%)

eval39.0ms (0.3%)

prune10.0ms (0.1%)

simplify127.0ms (1.1%)

localize361.0ms (3.1%)

series9.0ms (0.1%)

simplify179.0ms (1.5%)

rewrite215.0ms (1.8%)

eval58.0ms (0.5%)

prune12.0ms (0.1%)

simplify144.0ms (1.2%)

localize441.0ms (3.8%)

series15.0ms (0.1%)

simplify182.0ms (1.6%)

rewrite205.0ms (1.8%)

eval90.0ms (0.8%)

prune164.0ms (1.4%)

simplify186.0ms (1.6%)

localize541.0ms (4.6%)

series36.0ms (0.3%)

simplify161.0ms (1.4%)

rewrite256.0ms (2.2%)

eval175.0ms (1.5%)

prune143.0ms (1.2%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify74.0ms (0.6%)

soundness1.8s (15.4%)

preprocess110.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21