Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	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 (44.6%)

Memory

43.2MiB live, 3 216.3MiB allocated

Samples

3.2s	5 580×	2	valid
358.0ms	2 456×	1	valid
14.0ms	220×	0	valid

Precisions

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

ival-exp: 2.1s (71% of total)

adjust: 410.0ms (13.6% of total)

ival-sub: 174.0ms (5.8% of total)

ival-add: 136.0ms (4.5% of total)

ival-fabs: 68.0ms (2.3% of total)

ival-<=: 44.0ms (1.5% of total)

ival-neg: 32.0ms (1.1% of total)

exact: 9.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain276.0ms (3%)

Memory

-28.5MiB live, 346.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
126	-	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
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	126	0

Confusion

	Predicted +	Predicted -
+	126	0
-	0	130

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	0	0	130

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

170.0ms	364×	2	valid
24.0ms	140×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-exp: 133.0ms (78% of total)

adjust: 16.0ms (9.4% of total)

ival-sub: 7.0ms (4.1% of total)

ival-neg: 7.0ms (4.1% of total)

ival-add: 6.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess157.0ms (1.7%)

Memory

19.4MiB live, 156.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	33	17
2	78	17
3	291	17
4	1574	13
5	7555	13
0	7	8
0	12	8
1	25	8
2	57	8
3	181	8
4	800	6
5	7279	6
0	8679	6

Stop Event

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

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 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))

Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.1%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify112.0ms (1.2%)

Memory

19.9MiB live, 108.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	25	21
2	57	21
3	181	21
4	800	19
5	7279	19
0	8679	19

Stop Event

1×	iter limit
1×	node limit
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 #s(literal 2 binary64) (cosh.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)

localize100.0ms (1.1%)

Memory

-2.9MiB live, 93.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.03515625	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	28.14250559274609	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

82.0ms	182×	2	valid
10.0ms	70×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-exp: 53.0ms (66.4% of total)

adjust: 18.0ms (22.5% of total)

ival-sub: 5.0ms (6.3% of total)

ival-add: 3.0ms (3.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)))

simplify155.0ms (1.7%)

Memory

17.4MiB live, 150.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	160
1	208	159
2	664	153
3	2594	153
4	7057	153
0	8435	136

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))))))
(.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)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.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 (-.f64 (*.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))

rewrite195.0ms (2.1%)

Memory

-18.8MiB live, 166.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	52	17
2	423	15
3	7689	15
0	8101	15

Stop Event

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

Counts

4 → 238

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

eval43.0ms (0.5%)

Memory: 4.9MiB live, 55.5MiB allocated
Compiler: Compiled 7 696 to 928 computations (87.9% saved)

prune4.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	253	4	257
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	254	4	258

Accuracy

100.0%

Counts

258 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶	99.6%	#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)))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
▶	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 57 to 43 computations (24.6% saved)

simplify92.0ms (1%)

Memory

3.2MiB live, 92.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	126
0	37	126
1	75	126
2	241	126
3	1061	120
4	4376	120
0	8217	120

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (2.3%)

Memory

22.6MiB live, 208.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
accuracy	0.0	(cosh.f64 x)
accuracy	28.1933397937473	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.2672911130935645	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.0078125	(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
accuracy	0.19111946088668913	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.6324338541559429	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Samples

165.0ms	183×	2	valid
27.0ms	69×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 107 to 26 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-exp: 56.0ms (34.2% of total)

adjust: 32.0ms (19.5% of total)

ival-cosh: 29.0ms (17.7% of total)

ival-mult: 15.0ms (9.2% of total)

const: 10.0ms (6.1% of total)

ival-add: 9.0ms (5.5% of total)

ival-sub: 7.0ms (4.3% of total)

ival-pow: 5.0ms (3.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-32.1MiB live, 12.8MiB allocated

Counts

13 → 35

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* 1/360 (* x x)) 1/12))
4.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* 1/360 (* x x)) 1/12))
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* 1/360 (* x x)) 1/12))

Time

Variable

Point

Expression

7.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify144.0ms (1.6%)

Memory

42.8MiB live, 133.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	322
1	306	310
2	1001	307
3	4283	307
0	8097	284

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

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))))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 3)
(pow x 4)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(- (+ (exp x) (exp (neg 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)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))

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

rewrite216.0ms (2.4%)

Memory

-16.6MiB live, 250.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	110
0	37	110
1	159	104
2	1317	104
0	8318	104

Stop Event

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

Counts

13 → 477

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #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))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) (.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) x)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) x) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64))) x (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(fma.f64 x x (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 x x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(+.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (-.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))) (+.f64 x (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)))) (pow.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 x (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))) (.f64 (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))) (-.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal 1/360 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal 1/360 binary64) x)) x) (.f64 (neg.f64 (.f64 #s(literal 1/360 binary64) x)) x) (.f64 #s(literal 1/12 binary64) (.f64 (neg.f64 (*.f64 #s(literal 1/360 binary64) x)) x)))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (.f64 #s(literal -1/360 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 #s(literal -1/360 binary64) (.f64 x x)) (.f64 #s(literal -1/360 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/360 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/360 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/360 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))) (.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) #s(literal 1/1728 binary64))) (.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x))) x #s(literal 1/12 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 #s(literal 1/360 binary64) x) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(-.f64 #s(literal 1/12 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/360 binary64) x)) x))
(-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))
(-.f64 #s(literal 1/12 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/360 binary64)))
(+.f64 (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))

eval71.0ms (0.8%)

Memory: 15.9MiB live, 122.5MiB allocated
Compiler: Compiled 18 625 to 2 245 computations (87.9% saved)

prune13.0ms (0.1%)

Memory

-13.4MiB live, 31.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	533	5	538
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	535	7	542

Accuracy

100.0%

Counts

542 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶	54.4%	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	99.6%	#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)))
▶	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
✓	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
▶	76.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))

Compiler

Compiled 184 to 130 computations (29.3% saved)

simplify151.0ms (1.6%)

Memory

23.6MiB live, 168.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	192
0	44	207
1	95	190
2	305	175
3	1293	167
4	4327	167
0	8445	164

Stop Event

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

Calls

Call 1

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

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

localize294.0ms (3.2%)

Memory

-9.7MiB live, 268.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.09765625	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
accuracy	0.2672911130935645	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.6324338541559429	#s(approx (+ (- (exp x) 2) (exp (neg x))) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
accuracy	14.48901389825469	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.11947250976844201	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.2672911130935645	#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	0.6819244321448404	#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
accuracy	28.1933397937473	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.0078125	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)
accuracy	0.16796875	(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy	0.19111946088668913	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))

Samples

216.0ms	183×	2	valid
30.0ms	69×	1	valid
8.0ms	4×	0	valid

Compiler

Compiled 155 to 29 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

adjust: 68.0ms (30.4% of total)

ival-exp: 55.0ms (24.6% of total)

ival-cosh: 29.0ms (13% of total)

ival-mult: 28.0ms (12.5% of total)

ival-add: 21.0ms (9.4% of total)

const: 10.0ms (4.5% of total)

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

ival-pow: 3.0ms (1.3% of total)

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

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

17 → 33

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(pow x 4)
(* 1/12 (pow x 4))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg 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)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify260.0ms (2.8%)

Memory

-45.9MiB live, 234.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	303
1	243	303
2	780	288
3	3301	288
0	8187	270

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(pow x 4)
(* 1/12 (pow x 4))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg 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)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)

Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(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))))))
(.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)
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
1/12
#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))
(* 1/360 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (-.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (-.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64))))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))

rewrite195.0ms (2.1%)

Memory

22.7MiB live, 258.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	175
0	44	161
1	195	150
2	1454	150
0	8458	147

Stop Event

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

Counts

17 → 491

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))))
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(-.f64 (.f64 x x) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/12 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/12 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/12 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/12 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x x))
(.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(.f64 (.f64 #s(literal 1/12 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fabs.f64 (.f64 x #s(literal 1/12 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x x) (fabs.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
(.f64 x (fabs.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(.f64 x (fabs.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))))
(.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))
(.f64 x (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x x))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/144 binary64)))
(fabs.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) #s(literal 1/1728 binary64))) (.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x))) x #s(literal 1/12 binary64))
(fma.f64 (fabs.f64 (*.f64 x #s(literal 1/360 binary64))) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(-.f64 #s(literal 1/12 binary64) (.f64 (neg.f64 (.f64 x #s(literal 1/360 binary64))) x))
(-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))
(-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))

eval58.0ms (0.6%)

Memory: 5.6MiB live, 95.0MiB allocated
Compiler: Compiled 13 458 to 1 770 computations (86.8% saved)

prune8.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	487	3	490
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	490	7	497

Accuracy

100.0%

Counts

497 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	54.4%	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
▶	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
▶	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
✓	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 122 to 83 computations (32% saved)

simplify172.0ms (1.9%)

Memory

-0.2MiB live, 144.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	203
0	40	198
1	92	196
2	300	187
3	1234	181
4	3882	178
0	8081	173

Stop Event

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

Calls

Call 1

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

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

localize282.0ms (3.1%)

Memory

-4.7MiB live, 293.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.08203125	(.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0.1640625	(.f64 #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.2672911130935645	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy	0.015625	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
accuracy	0.19111946088668913	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
accuracy	0.0078125	(.f64 (fma.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
accuracy	0.16796875	(.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy	0.19111946088668913	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
accuracy	0.5900487883548106	#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))

Samples

203.0ms	182×	2	valid
58.0ms	70×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 157 to 27 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

adjust: 70.0ms (29.5% of total)

ival-mult: 58.0ms (24.5% of total)

ival-exp: 55.0ms (23.2% of total)

ival-add: 39.0ms (16.4% of total)

const: 9.0ms (3.8% of total)

ival-sub: 4.0ms (1.7% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory

-32.7MiB live, 12.0MiB allocated

Counts

14 → 30

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/12 (pow x 4))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg 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)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* 1/360 (* x x)) 1/12) (* x x)) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* x x)) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (+ (* (* x x) 1/360) 1/12) (* x x)) 1) (+ (* (* x x) 1/360) 1/12) (* (* x x) (* 1/12 (* x x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* x x) (* 1/12 (* x x)))) (* x x) (+ (* 1/360 (* x x)) 1/12) (* 1/12 (* x x)))

2.0ms

-inf

((+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* 1/360 (* x x)) 1/12) (* x x)) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* x x)) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (+ (* (* x x) 1/360) 1/12) (* x x)) 1) (+ (* (* x x) 1/360) 1/12) (* (* x x) (* 1/12 (* x x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* x x) (* 1/12 (* x x)))) (* x x) (+ (* 1/360 (* x x)) 1/12) (* 1/12 (* x x)))

1.0ms

((+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* 1/360 (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* 1/360 (* x x)) 1/12) (* x x)) (* (+ (* (+ (* (* x x) 1/360) 1/12) (* x x)) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (+ (* (* x x) 1/360) 1/12) (* x x)) 1) (+ (* (* x x) 1/360) 1/12) (* (* x x) (* 1/12 (* x x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* x x) (* 1/12 (* x x)))) (* x x) (+ (* 1/360 (* x x)) 1/12) (* 1/12 (* x x)))

simplify169.0ms (1.8%)

Memory

18.0MiB live, 248.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	286
1	238	286
2	738	271
3	3192	271
0	8547	255

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/12 (pow x 4))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg 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)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)

Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(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))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) 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 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (-.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal -1/360 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (-.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64))))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))

rewrite172.0ms (1.9%)

Memory

-12.7MiB live, 222.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	189
0	40	184
1	183	169
2	1322	163
0	8259	160

Stop Event

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

Counts

14 → 272

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) x))))
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
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(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
(.f64 (.f64 #s(literal 1/12 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/12 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/12 binary64) x))

eval89.0ms (1%)

Memory: 5.0MiB live, 115.1MiB allocated
Compiler: Compiled 13 853 to 1 502 computations (89.2% saved)

prune12.0ms (0.1%)

Memory

-15.7MiB live, 31.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	383	1	384
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	383	8	391

Accuracy

100.0%

Counts

391 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	54.4%	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
✓	99.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
✓	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x))
✓	99.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 396 to 172 computations (56.6% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.7%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) 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
99.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.6%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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
99.0%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.0%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes10.0ms (0.1%)

Memory

-40.1MiB live, 5.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))

Calls

2 calls:

9.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
54.4%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
54.4%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify85.0ms (0.9%)

Memory

9.5MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	119
1	63	119
2	143	119
3	445	119
4	2093	109
5	7550	109

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.2s (12.8%)

Memory

19.7MiB live, 875.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	322
1	306	310
2	1001	307
3	4283	307
0	8097	284
0	69	303
1	243	303
2	780	288
3	3301	288
0	8187	270
0	24	110
0	37	110
1	159	104
2	1317	104
0	8318	104
0	60	160
1	208	159
2	664	153
3	2594	153
4	7057	153
0	8435	136
0	27	189
0	40	184
1	183	169
2	1322	163
0	8259	160
0	29	175
0	44	161
1	195	150
2	1454	150
0	8458	147
0	7	17
0	12	17
1	52	17
2	423	15
3	7689	15
0	8101	15

Stop Event

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

Compiler

Compiled 351 to 207 computations (41% saved)

preprocess88.0ms (1%)

Memory: -16.5MiB live, 85.4MiB allocated
Remove: (abs x)
Compiler: Compiled 324 to 138 computations (57.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample4.1s (44.6%)

explain276.0ms (3%)

preprocess157.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify112.0ms (1.2%)

localize100.0ms (1.1%)

series1.0ms (0%)

simplify155.0ms (1.7%)

rewrite195.0ms (2.1%)

eval43.0ms (0.5%)

prune4.0ms (0%)

simplify92.0ms (1%)

localize213.0ms (2.3%)

series13.0ms (0.1%)

simplify144.0ms (1.6%)

rewrite216.0ms (2.4%)

eval71.0ms (0.8%)

prune13.0ms (0.1%)

simplify151.0ms (1.6%)

localize294.0ms (3.2%)

series7.0ms (0.1%)

simplify260.0ms (2.8%)

rewrite195.0ms (2.1%)

eval58.0ms (0.6%)

prune8.0ms (0.1%)

simplify172.0ms (1.9%)

localize282.0ms (3.1%)

series38.0ms (0.4%)

simplify169.0ms (1.8%)

rewrite172.0ms (1.9%)

eval89.0ms (1%)

prune12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

simplify85.0ms (0.9%)

soundness1.2s (12.8%)

preprocess88.0ms (1%)

end0.0ms (0%)

Profiling