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)

sample4.1s (43.1%)

Memory

70.1MiB live, 3 139.5MiB allocated

Samples

3.0s	5 593×	2	valid
494.0ms	2 459×	1	valid
13.0ms	204×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-exp: 2.2s (70.3% of total)

adjust: 324.0ms (10.2% of total)

ival-add: 176.0ms (5.5% of total)

ival-<=: 175.0ms (5.5% of total)

ival-sub: 136.0ms (4.3% of total)

ival-fabs: 86.0ms (2.7% of total)

ival-neg: 35.0ms (1.1% of total)

exact: 9.0ms (0.3% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain290.0ms (3%)

Memory

-7.3MiB live, 349.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
125	127	(7.121010819154002e-187)	-	`(+.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	1	(-221.72862032830687)	-	`(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	252	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	125	0
-	128	3

Precision

0.49407114624505927

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	0
-	128	0	3

Precision?

0.49407114624505927

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

146.0ms	360×	2	valid
24.0ms	138×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 96 to 42 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-exp: 113.0ms (77.3% of total)

adjust: 16.0ms (10.9% of total)

ival-sub: 7.0ms (4.8% of total)

ival-add: 6.0ms (4.1% of total)

ival-neg: 3.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess66.0ms (0.7%)

Memory

-16.7MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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)

prune2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(+.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

7.9MiB live, 7.9MiB 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	273	21
7	329	21
8	382	21
9	384	21
0	384	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)

localize155.0ms (1.6%)

Memory

25.9MiB live, 63.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	0.04032003162065376	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	27.61245281469265	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

135.0ms	180×	2	valid
10.0ms	69×	1	valid
0.0ms	7×	0	valid

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

adjust: 74.0ms (55.7% of total)

ival-exp: 50.0ms (37.6% of total)

ival-sub: 4.0ms (3% of total)

ival-add: 3.0ms (2.3% of total)

ival-neg: 1.0ms (0.8% 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

1.4MiB live, 1.4MiB 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)))

simplify229.0ms (2.4%)

Memory

-1.6MiB live, 113.4MiB 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	1759	153
5	3027	153
6	3849	153
7	5284	153
8	6683	153
0	8227	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))

rewrite180.0ms (1.9%)

Memory

-19.6MiB live, 92.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	51	17
2	394	17
3	6866	15
0	8047	14

Stop Event

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

Counts

4 → 245

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))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(*.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))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 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))) (pow.f64 (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))) #s(literal -1 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)))) (pow.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -1 binary64)))
(.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)))) (pow.f64 (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)))) #s(literal -1 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))) (pow.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)) #s(literal -1 binary64)))
(.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))) (pow.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) #s(literal -1 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))) (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 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (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) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 8 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (fma.f64 #s(literal -1 binary64) (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 #s(literal -2 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #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 #s(literal -1 binary64) (neg.f64 (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)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 x)))))
(/.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 #s(literal -2 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (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 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 x)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 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))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.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 (neg.f64 (neg.f64 (exp.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))

eval42.0ms (0.4%)

Memory: 13.8MiB live, 56.4MiB allocated
Compiler: Compiled 6 532 to 798 computations (87.8% saved)

prune9.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	254	10	264
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	254	11	265

Accuracy

100.0%

Counts

265 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(fma.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)) (exp.f64 (neg.f64 x)))
	56.8%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	57.1%	(/.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 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)))
	57.1%	(/.f64 (/.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 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
▶	56.9%	(/.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))))
	56.9%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	56.8%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	99.2%	#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))))
▶	98.9%	#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))))
▶	98.6%	#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)))
▶	98.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 344 to 229 computations (33.4% saved)

simplify138.0ms (1.4%)

Memory

-24.3MiB live, 168.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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	128	(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(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)))
cost-diff	0	#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))))
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	(*.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	#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: 0 (0.0ms)

Iter	Nodes	Cost
0	33	241
0	53	241
1	93	241
2	169	241
3	296	241
4	529	241
5	1169	241
6	2798	241
7	6128	241
0	8263	239

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 (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)
#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))))
(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.f64 x #s(literal 6 binary64))
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.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x 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 (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 (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)
#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 #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))))
(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)))
(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)))
(pow.f64 x #s(literal 6 binary64))
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))
(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)
(*.f64 x 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 (-.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)

localize244.0ms (2.6%)

Memory

31.0MiB live, 303.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.04032003162065376	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.040390039073768064	(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	0.04296875	(/.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	27.606401838384897	(-.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	(*.f64 x x)
accuracy	0.0078125	(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)))
accuracy	0.0078125	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.6780259063823748	#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))))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.8879001517916381	#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	(*.f64 x x)
accuracy	1.1965379555054647	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0.0078125	(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 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 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.5264228593633241	#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

171.0ms	178×	2	valid
42.0ms	71×	1	valid
2.0ms	7×	0	valid

Compiler

Compiled 447 to 67 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-exp: 55.0ms (31.7% of total)

adjust: 40.0ms (23.1% of total)

ival-mult: 18.0ms (10.4% of total)

ival-pow: 14.0ms (8.1% of total)

ival-add: 13.0ms (7.5% of total)

const: 12.0ms (6.9% of total)

ival-pow2: 8.0ms (4.6% of total)

ival-sub: 7.0ms (4% of total)

ival-div: 4.0ms (2.3% of total)

ival-sinh: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series17.0ms (0.2%)

Memory

-9.0MiB live, 28.9MiB allocated

Counts

17 → 45

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

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (+ -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) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow (exp x) -2) (- (exp x) 2))
4.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (+ -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) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow (exp x) -2) (- (exp x) 2))
3.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (+ -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) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow (exp x) -2) (- (exp x) 2))

Time

Variable

Point

Expression

9.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

simplify156.0ms (1.6%)

Memory

9.9MiB live, 160.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	418
1	383	418
2	910	405
3	2448	402
4	4048	402
5	7130	402
0	8041	362

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

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)
-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
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (+ (exp x) (exp (neg x))) 2)
(* 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))))
(* 1/360 (pow x 6))
(* (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)))))
(- (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)
(* 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 (pow (exp x) 2))
(- (exp x) 2)
(- (+ (exp x) (exp (* -1 x))) 2)

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

rewrite220.0ms (2.3%)

Memory

-34.5MiB live, 264.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	181
0	53	181
1	224	181
2	1697	181
0	8279	179

Stop Event

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

Counts

17 → 537

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

eval90.0ms (0.9%)

Memory: 13.6MiB live, 123.6MiB allocated
Compiler: Compiled 28 980 to 2 531 computations (91.3% saved)

prune21.0ms (0.2%)

Memory

-8.9MiB live, 37.5MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	687	4	691
Fresh	1	4	5
Picked	4	1	5
Done	0	1	1
Total	692	10	702

Accuracy

100.0%

Counts

702 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	57.1%	(/.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 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)))
▶	57.1%	(/.f64 (/.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 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
▶	56.8%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
	56.9%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	56.8%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
▶	98.6%	#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)))
✓	98.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 316 to 192 computations (39.2% saved)

simplify131.0ms (1.4%)

Memory

35.1MiB live, 108.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
cost-diff	0	(/.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 (exp.f64 x) #s(literal -2 binary64)))
cost-diff	6720	(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)))
cost-diff	7168	(/.f64 (/.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 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
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)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
cost-diff	128	(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))))
cost-diff	-5504	(.f64 (.f64 x x) (*.f64 x x))
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	0	(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #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)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	320
0	72	312
1	135	302
2	269	286
3	616	285
4	1457	283
5	3225	282
6	7509	282
0	8306	278

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

localize495.0ms (5.2%)

Memory

0.0MiB live, 461.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.02860128162065376	(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
accuracy	0.03125	(/.f64 (/.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 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
accuracy	0.12109375	(/.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 (exp.f64 x) #s(literal -2 binary64)))
accuracy	27.551933430612632	(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)))
accuracy	0.0234375	(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0.04032003162065376	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.04296875	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
accuracy	27.606401838384897	(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0.0078125	(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.11394501953688403	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.6780259063823748	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.11394501953688403	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.8879001517916381	#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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy	0.01171875	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
accuracy	0.5264228593633241	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))

Samples

365.0ms	178×	2	valid
66.0ms	71×	1	valid
2.0ms	7×	0	valid

Compiler

Compiled 609 to 87 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-exp: 86.0ms (29.5% of total)

adjust: 70.0ms (24% of total)

ival-add: 44.0ms (15.1% of total)

ival-mult: 27.0ms (9.3% of total)

ival-div: 16.0ms (5.5% of total)

ival-sub: 16.0ms (5.5% of total)

const: 15.0ms (5.1% of total)

ival-pow2: 8.0ms (2.7% of total)

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

ival-sinh: 1.0ms (0.3% 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)

series16.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

21 → 63

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 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 x x)
(.f64 (.f64 x x) (*.f64 x 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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
(+.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)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.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)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.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 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
(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 (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 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(-.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))))))))
(pow x 4)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(pow x 6)
-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
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 4 x)))
(* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))
(* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 (* x (+ 1 (* 7/12 x)))))
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 7/12 (* 1/4 x)))))))
-3
(- (* 2 x) 3)
(- (* x (+ 2 (* 2 x))) 3)
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
1/360
(+ 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)
(- (+ (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 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 (pow x 6))
(* (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)))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(pow (- (exp x) 2) 2)
(/ (+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4)))) (* (exp x) (+ 2 (exp x))))
(+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4)))) (+ 2 (exp x)))
(- (pow (exp x) 2) 4)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(- (exp x) 2)
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

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

5.0ms

-inf

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

2.0ms

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

simplify163.0ms (1.7%)

Memory

0.2MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	606
1	555	603
2	1370	587
3	3639	587
4	5210	587
5	6573	585
0	8196	517

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

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 4)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(pow x 6)
-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
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 4 x)))
(* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))
(* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 (* x (+ 1 (* 7/12 x)))))
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 7/12 (* 1/4 x)))))))
-3
(- (* 2 x) 3)
(- (* x (+ 2 (* 2 x))) 3)
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
1/360
(+ 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)
(- (+ (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 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 (pow x 6))
(* (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)))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(pow (- (exp x) 2) 2)
(/ (+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4)))) (* (exp x) (+ 2 (exp x))))
(+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4)))) (+ 2 (exp x)))
(- (pow (exp x) 2) 4)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(- (exp x) 2)
(- (+ (exp x) (exp (* -1 x))) 2)

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))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 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
#s(literal 1 binary64)
(+ 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))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* 4 x)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 13/4 binary64) x #s(literal 4 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 13/4 binary64)) x #s(literal 4 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 (* x (+ 1 (* 7/12 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 7/12 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 7/12 (* 1/4 x)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 7/12 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x)
-3
#s(literal -3 binary64)
(- (* 2 x) 3)
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
(- (* x (+ 2 (* 2 x))) 3)
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal -3 binary64))
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal -3 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))
-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))
(- (+ (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 4 binary64)) #s(literal 1/12 binary64) (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))) (/ 1 (pow x 6))))))
(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)))
(* 1/20160 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x)
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 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))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.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)
(- (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) (exp (* -2 x))) (- (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) (exp (* -2 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 (- (exp x) 2) 2)
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/ (+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4)))) (* (exp x) (+ 2 (exp x))))
(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)))
(+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4))))
(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64))
(/ (+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4)))) (+ 2 (exp x)))
(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(- (pow (exp x) 2) 4)
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))
(* 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))
(- (exp x) 2)
(-.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))

rewrite195.0ms (2%)

Memory

7.8MiB live, 201.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	257
0	72	237
1	315	237
2	2443	237
0	8455	232

Stop Event

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

Counts

21 → 677

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
(.f64 (-.f64 (.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (neg.f64 x) x))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 16 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (pow.f64 (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)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))) (neg.f64 (neg.f64 (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 (-.f64 (.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(literal 1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(/.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (+.f64 #s(literal 1/129600 binary64) (-.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (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 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (+.f64 #s(literal 1/129600 binary64) (-.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))))
(fma.f64 (*.f64 #s(literal 1/20160 binary64) 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))
(fma.f64 x (*.f64 #s(literal 1/20160 binary64) x) #s(literal 1/360 binary64))
(-.f64 (/.f64 #s(literal 1/129600 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) #s(literal 1 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)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (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)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (-.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 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.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 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 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))
(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 (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 (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 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))) (fma.f64 #s(literal -1 binary64) (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 #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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64))) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #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))
(exp.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64))))

eval143.0ms (1.5%)

Memory: 12.1MiB live, 171.2MiB allocated
Compiler: Compiled 29 448 to 3 039 computations (89.7% saved)

prune25.0ms (0.3%)

Memory

-4.8MiB live, 39.2MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	799	3	802
Fresh	1	2	3
Picked	3	2	5
Done	0	2	2
Total	803	9	812

Accuracy

100.0%

Counts

812 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	57.1%	(/.f64 (/.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 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
▶	56.8%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
▶	56.9%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	56.8%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	57.3%	#s(approx (/ (/ (+ (* (+ (* (exp x) (exp x)) -4) (exp x)) (- (exp x) -2)) (- (exp x) -2)) (exp x)) (/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x))))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
✓	98.6%	#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)))
✓	98.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 270 to 157 computations (41.9% saved)

simplify123.0ms (1.3%)

Memory

-22.4MiB live, 136.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64))
cost-diff	0	(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (/ (+ (* (+ (* (exp x) (exp x)) -4) (exp x)) (- (exp x) -2)) (- (exp x) -2)) (exp x)) (/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x))))
cost-diff	6912	(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)))
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
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)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #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	7104	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 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	(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.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)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	46	265
0	80	260
1	153	253
2	341	244
3	888	241
4	2031	235
5	3961	232
0	8239	232

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

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

localize452.0ms (4.7%)

Memory

32.9MiB live, 576.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(+.f64 #s(literal 2 binary64) (exp.f64 x))
accuracy	0.041347509768442016	(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64))
accuracy	0.12890625	(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)))
accuracy	27.45007331858242	(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64))
accuracy	0.0234375	(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0.04032003162065376	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.04296875	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
accuracy	27.606401838384897	(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
accuracy	0	(exp.f64 x)
accuracy	0.0390625	(/.f64 #s(literal -1 binary64) (exp.f64 x))
accuracy	0.04032003162065376	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	27.61245281469265	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
accuracy	0	(cosh.f64 x)
accuracy	27.656698202980248	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0.01171875	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
accuracy	0.11394501953688403	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.5264228593633241	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))

Samples

331.0ms	180×	2	valid
54.0ms	69×	1	valid
2.0ms	7×	0	valid

Compiler

Compiled 504 to 98 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 345.0ms

ival-exp: 95.0ms (27.5% of total)

ival-add: 63.0ms (18.2% of total)

adjust: 51.0ms (14.8% of total)

ival-mult: 40.0ms (11.6% of total)

ival-cosh: 32.0ms (9.3% of total)

ival-div: 26.0ms (7.5% of total)

const: 15.0ms (4.3% of total)

ival-sub: 13.0ms (3.8% of total)

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

ival-sinh: 1.0ms (0.3% 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)

series34.0ms (0.4%)

Memory

-15.4MiB live, 22.5MiB allocated

Counts

20 → 66

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(*.f64 x x)
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 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)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (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)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)))
#s(approx (/ (/ (+ (* (+ (* (exp x) (exp x)) -4) (exp x)) (- (exp x) -2)) (- (exp x) -2)) (exp x)) (/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x))))
(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+.f64 #s(literal 2 binary64) (exp.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))))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1
(+ 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)))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
(* -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)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 4 x)))
(* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))
(* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 2 x))) 2)
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 2)
(pow x 4)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
3
(+ 3 x)
(+ 3 (* x (+ 1 (* 1/2 x))))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (+ (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 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(- (exp x) 2)
(exp x)
(/ -1 (exp x))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(pow (- (exp x) 2) 2)
(/ (+ 2 (* (exp x) (- (pow (exp x) 2) 3))) (* (exp x) (+ 2 (exp x))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4)))) (* (exp x) (+ 2 (exp x))))
(+ 2 (* (exp x) (- (pow (exp x) 2) 3)))
(- (pow (exp x) 2) 3)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+ 2 (exp x))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time

Variable

Point

Expression

25.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) (* x x)) (* x x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (+ (* (sinh x) 2) -2)) (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (pow (- (exp x) 2) 2) (/ (+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2) (* (+ 2 (exp x)) (exp x))) (/ (/ (+ (* (+ (* (exp x) (exp x)) -4) (exp x)) (- (exp x) -2)) (- (exp x) -2)) (exp x)) (+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2) (+ (* (exp x) (exp x)) -3) (* (* x x) (* x x)) (+ (* 1/20160 (* x x)) 1/360) (+ 2 (exp x)))

5.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) (* x x)) (* x x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (+ (* (sinh x) 2) -2)) (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (pow (- (exp x) 2) 2) (/ (+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2) (* (+ 2 (exp x)) (exp x))) (/ (/ (+ (* (+ (* (exp x) (exp x)) -4) (exp x)) (- (exp x) -2)) (- (exp x) -2)) (exp x)) (+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2) (+ (* (exp x) (exp x)) -3) (* (* x x) (* x x)) (+ (* 1/20160 (* x x)) 1/360) (+ 2 (exp x)))

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) (* x x)) (* x x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (+ (* (sinh x) 2) -2)) (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (pow (- (exp x) 2) 2) (/ (+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2) (* (+ 2 (exp x)) (exp x))) (/ (/ (+ (* (+ (* (exp x) (exp x)) -4) (exp x)) (- (exp x) -2)) (- (exp x) -2)) (exp x)) (+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2) (+ (* (exp x) (exp x)) -3) (* (* x x) (* x x)) (+ (* 1/20160 (* x x)) 1/360) (+ 2 (exp x)))

simplify183.0ms (1.9%)

Memory

24.3MiB live, 172.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	607
1	521	607
2	1273	601
3	3319	601
4	5533	601
5	6711	599
0	8102	528

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 66

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
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1
(+ 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)))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
(* -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)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 4 x)))
(* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))
(* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 2 x))) 2)
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 2)
(pow x 4)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
3
(+ 3 x)
(+ 3 (* x (+ 1 (* 1/2 x))))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (+ (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 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(- (exp x) 2)
(exp x)
(/ -1 (exp x))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(pow (- (exp x) 2) 2)
(/ (+ 2 (* (exp x) (- (pow (exp x) 2) 3))) (* (exp x) (+ 2 (exp x))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4)))) (* (exp x) (+ 2 (exp x))))
(+ 2 (* (exp x) (- (pow (exp x) 2) 3)))
(- (pow (exp x) 2) 3)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+ 2 (exp x))
(- (+ (exp x) (exp (* -1 x))) 2)

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))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.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 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
1
#s(literal 1 binary64)
(+ 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))
-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)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (* x (+ 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))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (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))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* 4 x)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 13/4 binary64) x #s(literal 4 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 13/4 binary64)) x #s(literal 4 binary64)) x #s(literal 3 binary64)) x) x)
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* 2 x))) 2)
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 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))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(+ 3 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 3 binary64))
(+ 3 (* 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 3 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 6 binary64)) #s(literal 1/360 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #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))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x)))
(* 1/20160 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x)
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
(- (+ (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)))
(- (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))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (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) (exp (* -2 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 (- (exp x) 2) 2)
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/ (+ 2 (* (exp x) (- (pow (exp x) 2) 3))) (* (exp x) (+ 2 (exp x))))
(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)))
(/ (+ 2 (+ (exp x) (* (exp x) (- (pow (exp x) 2) 4)))) (* (exp x) (+ 2 (exp x))))
(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)))
(+ 2 (* (exp x) (- (pow (exp x) 2) 3)))
(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64))
(- (pow (exp x) 2) 3)
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -3 binary64))
(* 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))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))

rewrite238.0ms (2.5%)

Memory

-44.1MiB live, 224.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	220
0	80	209
1	364	199
2	3016	199
0	8165	198

Stop Event

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

Counts

20 → 683

Calls

Call 1

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

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 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))))
(.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 3 binary64))))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (pow.f64 (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)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))) (neg.f64 (neg.f64 (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 (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (+.f64 #s(literal 1/129600 binary64) (-.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (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 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)))
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (+.f64 #s(literal 1/129600 binary64) (-.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))))
(fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 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 x (*.f64 #s(literal 1/20160 binary64) x) #s(literal 1/360 binary64))
(-.f64 (/.f64 #s(literal 1/129600 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64))))
(+.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) #s(literal 1/360 binary64))
(+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (-.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (-.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 (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 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) #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)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (-.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 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 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))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (-.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 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.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 (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) (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.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 (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 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.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 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (-.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 (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.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 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (-.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 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 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 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (-.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 #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 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 x) #s(literal 2 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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 x) (-.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 (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 4 binary64))) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #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 3 binary64)) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 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 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(-.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))

eval135.0ms (1.4%)

Memory: 15.5MiB live, 206.4MiB allocated
Compiler: Compiled 27 199 to 2 635 computations (90.3% saved)

prune40.0ms (0.4%)

Memory

11.4MiB live, 49.5MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	755	6	761
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	756	14	770

Accuracy

100.0%

Counts

770 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.8%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	55.8%	(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))
	55.6%	(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))
	55.2%	(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))
✓	57.1%	(/.f64 (/.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 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
✓	56.8%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
✓	56.9%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	56.8%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
	57.3%	#s(approx (/ (/ (+ (* (+ (* (exp x) (exp x)) -4) (exp x)) (- (exp x) -2)) (- (exp x) -2)) (exp x)) (/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (exp.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x))))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(approx (+ ( 1/20160 (* x x)) 1/360) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)))
	98.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(approx (+ ( (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) x) x)) (.f64 x x)))
✓	98.6%	#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)))
✓	98.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 824 to 302 computations (63.3% saved)

regimes13.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

6.0ms	x
5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes10.0ms (0.1%)

Memory

-38.0MiB live, 9.0MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

7.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
3.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

4 → 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))) (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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 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
98.6%	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)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total -27.5b remaining (-2295.5%)

Threshold costs -27.5b (-2295.5%)

Counts

2 → 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))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify25.0ms (0.3%)

Memory

-16.3MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	98

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (11%)

Memory

69.3MiB live, 715.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	160
1	168	159
2	397	153
3	1060	153
4	1759	153
5	3027	153
6	3849	153
7	5284	153
8	6683	153
0	8227	132
0	179	607
1	521	607
2	1273	601
3	3319	601
4	5533	601
5	6711	599
0	8102	528
0	33	181
0	53	181
1	224	181
2	1697	181
0	8279	179
0	41	257
0	72	237
1	315	237
2	2443	237
0	8455	232
0	136	418
1	383	418
2	910	405
3	2448	402
4	4048	402
5	7130	402
0	8041	362

Stop Event

1×	fuel
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

Compiler

Compiled 242 to 119 computations (50.8% saved)

preprocess87.0ms (0.9%)

Memory: -3.4MiB live, 117.4MiB allocated
Remove: (abs x)
Compiler: Compiled 296 to 116 computations (60.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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	273	21
7	329	21
8	382	21
9	384	21
0	384	21

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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	273	21
7	329	21
8	382	21
9	384	21
0	384	21

start0.0ms (0%)

analyze0.0ms (0%)

sample4.1s (43.1%)

explain290.0ms (3%)

preprocess66.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify12.0ms (0.1%)

localize155.0ms (1.6%)

series1.0ms (0%)

simplify229.0ms (2.4%)

rewrite180.0ms (1.9%)

eval42.0ms (0.4%)

prune9.0ms (0.1%)

simplify138.0ms (1.4%)

localize244.0ms (2.6%)

series17.0ms (0.2%)

simplify156.0ms (1.6%)

rewrite220.0ms (2.3%)

eval90.0ms (0.9%)

prune21.0ms (0.2%)

simplify131.0ms (1.4%)

localize495.0ms (5.2%)

series16.0ms (0.2%)

simplify163.0ms (1.7%)

rewrite195.0ms (2%)

eval143.0ms (1.5%)

prune25.0ms (0.3%)

simplify123.0ms (1.3%)

localize452.0ms (4.7%)

series34.0ms (0.4%)

simplify183.0ms (1.9%)

rewrite238.0ms (2.5%)

eval135.0ms (1.4%)

prune40.0ms (0.4%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify25.0ms (0.3%)

soundness1.0s (11%)

preprocess87.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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	273	21
7	329	21
8	382	21
9	384	21
0	384	21