Metrics for Hyperbolic sine

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.9s (25.4%)

Memory

19.3MiB live, 1 821.3MiB allocated; 423ms collecting garbage

Samples

739.0ms	1 639×	2	valid
558.0ms	2 460×	1	valid
296.0ms	4 157×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-exp: 841.0ms (64.2% of total)

adjust: 155.0ms (11.8% of total)

ival-div: 130.0ms (9.9% of total)

ival-sub: 118.0ms (9% of total)

ival-neg: 51.0ms (3.9% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain185.0ms (2.4%)

Memory

19.4MiB live, 153.5MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
137	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #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 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	137	0

Confusion

	Predicted +	Predicted -
+	137	0
-	0	119

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	137	0	0
-	0	0	119

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms	172×	1	valid
37.0ms	100×	2	valid
16.0ms	240×	0	valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-exp: 44.0ms (48.3% of total)

ival-sub: 31.0ms (34% of total)

adjust: 7.0ms (7.7% of total)

ival-div: 6.0ms (6.6% of total)

ival-neg: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess146.0ms (1.9%)

Memory

5.4MiB live, 154.3MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	35	7
2	75	7
3	350	7
4	2676	5
5	6389	5
0	7	8
0	12	2
1	25	2
2	56	2
3	213	2
4	1363	2
5	4923	2
0	8074	2

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify133.0ms (1.8%)

Memory

-32.7MiB live, 153.7MiB allocated; 20ms collecting garbage

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	2	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff	4	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	17
1	25	17
2	56	17
3	213	17
4	1363	15
5	4923	15
0	8074	15

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.6%)

Memory

39.3MiB live, 39.3MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	31.603011461661946	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

19.0ms	50×	2	valid
14.0ms	86×	1	valid
6.0ms	120×	0	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-exp: 21.0ms (68.5% of total)

adjust: 4.0ms (13.1% of total)

ival-div: 3.0ms (9.8% of total)

ival-sub: 2.0ms (6.5% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Counts

5 → 23

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
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)))
(* -1 x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))

1.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))

simplify200.0ms (2.6%)

Memory

-4.5MiB live, 142.2MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	184
1	279	183
2	903	177
3	3536	177
4	6904	177
0	8034	157

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
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)))
(* -1 x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
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))
(* -1 x)
(neg.f64 x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite219.0ms (2.9%)

Memory

-26.6MiB live, 162.0MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	13
1	43	13
2	298	13
3	4659	13
0	9463	13

Stop Event

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

Counts

5 → 426

Calls

Call 1

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

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

eval49.0ms (0.6%)

Memory: 36.4MiB live, 80.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 767 to 1 721 computations (82.4% saved)

prune11.0ms (0.1%)

Memory

-18.0MiB live, 26.1MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	439	6	445
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	440	6	446

Accuracy

100.0%

Counts

446 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	93.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	85.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	55.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
▶	100.0%	(sinh.f64 x)
	86.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))

Compiler

Compiled 190 to 130 computations (31.6% saved)

simplify813.0ms (10.7%)

Memory

-252.4MiB live, 149.7MiB allocated; 1.2s collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
cost-diff	0	(sinh.f64 x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	272
0	51	272
1	93	272
2	280	272
3	1224	272
4	4904	272
0	8724	272

Stop Event

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

Calls

Call 1

Inputs
(sinh.f64 x)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

Outputs
(sinh.f64 x)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize167.0ms (2.2%)

Memory

-0.0MiB live, 146.3MiB allocated; 12ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
accuracy	0.0625	(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy	2.8373800131588482	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.02734375	(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
accuracy	0.046875	(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	4.4739883315805855	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01953125	(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.0859375	(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy	8.988568283100038	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	28.32063573331864	#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
accuracy	0.01171875	(sinh.f64 x)

Samples

54.0ms	120×	0	valid
46.0ms	86×	1	valid
46.0ms	50×	2	valid

Compiler

Compiled 198 to 30 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 24.0ms (25.2% of total)

ival-exp: 23.0ms (24.1% of total)

adjust: 19.0ms (19.9% of total)

const: 11.0ms (11.5% of total)

ival-add: 10.0ms (10.5% of total)

ival-div: 3.0ms (3.1% of total)

ival-sub: 2.0ms (2.1% of total)

ival-sinh: 2.0ms (2.1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

20 → 51

Calls

Call 1

Inputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(pow x 2)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))
3.0ms	x	@	inf	((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))
2.0ms	x	@	0	((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

Time

Variable

Point

Expression

4.0ms

-inf

((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

3.0ms

inf

((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

2.0ms

((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

simplify152.0ms (2%)

Memory

13.0MiB live, 102.5MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	526
1	447	520
2	1435	517
3	6195	517
0	8270	491

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(pow x 2)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/60 (pow x 2))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/2520 (pow x 2))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))

rewrite227.0ms (3%)

Memory

-24.4MiB live, 224.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	251
0	51	235
1	190	235
2	1323	235
0	8361	235

Stop Event

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

Counts

20 → 407

Calls

Call 1

Inputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))

Outputs
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (sinh.f64 x))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (cosh.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(+.f64 x x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
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(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) (.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) (.f64 #s(literal 1/3 binary64) x)))))
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eval76.0ms (1%)

Memory: 9.7MiB live, 146.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 22 918 to 2 987 computations (87% saved)

prune20.0ms (0.3%)

Memory

-12.8MiB live, 39.3MiB allocated; 5ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	527	12	539
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	532	13	545

Accuracy

100.0%

Counts

545 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
▶	55.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	93.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	85.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	92.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	35.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)

Compiler

Compiled 582 to 388 computations (33.3% saved)

simplify184.0ms (2.4%)

Memory

12.9MiB live, 149.1MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	1	(neg.f64 (*.f64 #s(literal 1/60 binary64) x))
cost-diff	1	(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(+.f64 x x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	423
0	72	416
1	130	416
2	351	416
3	1276	416
4	4576	396
0	9401	386

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x)))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x))
#s(literal 1/3 binary64)
(.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)
(neg.f64 (*.f64 #s(literal 1/60 binary64) x))
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
(*.f64 x x)
#s(literal 2 binary64)

Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 #s(literal 2 binary64) x)))
(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x)))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)
(.f64 #s(literal -1/60 binary64) (.f64 x x))
(neg.f64 (*.f64 #s(literal 1/60 binary64) x))
(*.f64 #s(literal -1/60 binary64) x)
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
(*.f64 x x)
#s(literal 2 binary64)

localize238.0ms (3.1%)

Memory

-15.4MiB live, 129.1MiB allocated; 14ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (*.f64 x x) #s(literal 2 binary64))
accuracy	0.06640625	(*.f64 #s(literal 1/60 binary64) x)
accuracy	0.125	(.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)
accuracy	4.4739883315805855	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.03125	(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
accuracy	0.109375	(.f64 #s(literal 1/60 binary64) (.f64 x x))
accuracy	4.4739883315805855	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	33.034353916496414	#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x)))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
accuracy	0.0546875	(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
accuracy	0.33984375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	8.988568283100038	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
accuracy	0.0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
accuracy	0.0	(+.f64 x x)
accuracy	28.32063573331864	#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
accuracy	0.0625	(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy	0.203125	(.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
accuracy	2.8373800131588482	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))

Samples

103.0ms	120×	0	valid
55.0ms	86×	1	valid
48.0ms	50×	2	valid

Compiler

Compiled 286 to 38 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 60.0ms (41.7% of total)

ival-exp: 21.0ms (14.6% of total)

const: 21.0ms (14.6% of total)

adjust: 20.0ms (13.9% of total)

ival-add: 12.0ms (8.3% of total)

ival-sub: 4.0ms (2.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

28 → 59

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x))
(neg.f64 (*.f64 #s(literal 1/60 binary64) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x)))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)
(*.f64 #s(literal 1/60 binary64) x)
(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (*.f64 x x) #s(literal 2 binary64))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* -1/60 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/60 (pow x 2))
(* -1/60 (pow x 2))
(* 1/60 x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (- 1/3 (* (neg (* 1/60 x)) x)) (neg (* 1/60 x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* 1/3 x) (+ (* 1/60 (* x x)) 1/3) (* 1/60 (* x x)) (* (neg (* 1/60 x)) x) (* 1/60 x) (+ (* (- 1/3 (* (neg (* 1/60 x)) x)) (* x x)) 2))

3.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (- 1/3 (* (neg (* 1/60 x)) x)) (neg (* 1/60 x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* 1/3 x) (+ (* 1/60 (* x x)) 1/3) (* 1/60 (* x x)) (* (neg (* 1/60 x)) x) (* 1/60 x) (+ (* (- 1/3 (* (neg (* 1/60 x)) x)) (* x x)) 2))

2.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (- 1/3 (* (neg (* 1/60 x)) x)) (neg (* 1/60 x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* 1/3 x) (+ (* 1/60 (* x x)) 1/3) (* 1/60 (* x x)) (* (neg (* 1/60 x)) x) (* 1/60 x) (+ (* (- 1/3 (* (neg (* 1/60 x)) x)) (* x x)) 2))

simplify177.0ms (2.3%)

Memory

18.8MiB live, 117.0MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	605
1	487	599
2	1529	595
3	6410	595
0	8495	566

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* -1/60 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/60 (pow x 2))
(* -1/60 (pow x 2))
(* 1/60 x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* -1/60 x)
(*.f64 #s(literal -1/60 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* -1/60 (pow x 2))
(.f64 #s(literal -1/60 binary64) (.f64 x x))
(* 1/60 x)
(*.f64 #s(literal 1/60 binary64) x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/2520 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* 1/2520 (pow x 2))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))

rewrite248.0ms (3.3%)

Memory

-1.0MiB live, 130.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	382
0	72	356
1	256	356
2	1744	356
0	8990	347

Stop Event

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

Counts

28 → 428

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x))
(neg.f64 (*.f64 #s(literal 1/60 binary64) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x)))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)
(*.f64 #s(literal 1/60 binary64) x)
(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (*.f64 x x) #s(literal 2 binary64))

Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x) (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x))) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 4 binary64)) x)) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 4 binary64)) x) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) x) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))) #s(literal 8 binary64))) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)) x))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))) (*.f64 x x)))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))))))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))))))
(+.f64 (/.f64 #s(literal 8 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x)))))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 8 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x)))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x))

eval128.0ms (1.7%)

Memory: -40.5MiB live, 113.3MiB allocated; 28ms collecting garbage
Compiler: Compiled 22 741 to 2 856 computations (87.4% saved)

prune21.0ms (0.3%)

Memory

-0.1MiB live, 46.4MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	474	7	481
Fresh	4	3	7
Picked	2	3	5
Done	0	1	1
Total	480	14	494

Accuracy

100.0%

Counts

494 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
✓	55.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
	93.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	95.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	93.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	85.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	92.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	92.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	35.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)

Compiler

Compiled 594 to 398 computations (33% saved)

simplify165.0ms (2.2%)

Memory

14.7MiB live, 155.9MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	1	(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	587
0	88	581
1	154	581
2	408	581
3	1523	581
4	4343	561
0	9126	547

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
(.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (+ (* (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x))
(.f64 (.f64 #s(literal 1/60 binary64) x) x)
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
(*.f64 x x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x))
#s(literal 1/3 binary64)
(.f64 (.f64 x #s(literal -1/60 binary64)) x)
(*.f64 x #s(literal -1/60 binary64))
x
#s(literal -1/60 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)

Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x))
(.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
(.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)
#s(approx (+ (* (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 1/3 binary64) x) x)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 #s(literal 2 binary64) x)))
(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x))
(.f64 (.f64 #s(literal 1/60 binary64) x) x)
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
(*.f64 x x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(.f64 (.f64 x #s(literal -1/60 binary64)) x)
(.f64 #s(literal -1/60 binary64) (.f64 x x))
(*.f64 x #s(literal -1/60 binary64))
(*.f64 #s(literal -1/60 binary64) x)
x
#s(literal -1/60 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 #s(literal 2 binary64) x)))
(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize275.0ms (3.6%)

Memory

34.0MiB live, 363.5MiB allocated; 60ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	0.125	(.f64 #s(literal 1/2520 binary64) (.f64 x x))
accuracy	2.8373800131588482	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	33.053732476440025	#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
accuracy	0.03125	(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (*.f64 x x) #s(literal 2 binary64))
accuracy	0.06640625	(*.f64 x #s(literal -1/60 binary64))
accuracy	0.125	(.f64 (.f64 x #s(literal -1/60 binary64)) x)
accuracy	4.4739883315805855	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.06640625	(*.f64 #s(literal 1/60 binary64) x)
accuracy	0.125	(.f64 (.f64 #s(literal 1/60 binary64) x) x)
accuracy	4.4739883315805855	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	33.034353916496414	#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x))
accuracy	0.01953125	(.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
accuracy	0.171875	(.f64 (.f64 x x) #s(literal 1/3 binary64))
accuracy	8.988568283100038	#s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
accuracy	33.01264029846624	#s(approx (+ (* (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
accuracy	0.0625	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy	0.07421875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
accuracy	0.203125	(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
accuracy	2.8373800131588482	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))

Samples

102.0ms	50×	2	valid
78.0ms	86×	1	valid
60.0ms	120×	0	valid

Compiler

Compiled 362 to 48 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 72.0ms (40% of total)

adjust: 39.0ms (21.7% of total)

ival-exp: 31.0ms (17.2% of total)

ival-add: 16.0ms (8.9% of total)

const: 14.0ms (7.8% of total)

ival-sub: 4.0ms (2.2% of total)

ival-div: 3.0ms (1.7% 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)

series28.0ms (0.4%)

Memory

-35.4MiB live, 10.9MiB allocated; 4ms collecting garbage

Counts

33 → 62

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
(.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (+ (* (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x))
(.f64 (.f64 #s(literal 1/60 binary64) x) x)
(*.f64 #s(literal 1/60 binary64) x)
(.f64 (.f64 x #s(literal -1/60 binary64)) x)
(*.f64 x #s(literal -1/60 binary64))
(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/3 (pow x 2))
(* 1/60 (pow x 2))
(* -1/60 (pow x 2))
(* -1/60 x)
(* 1/2520 (pow x 2))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))

Calls

3 calls:

Time

Variable

Point

Expression

22.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) x) (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (- 1/3 (* (* x -1/60) x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (- 1/3 (* (* x -1/60) x)) (* x x)) 2) x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) (* (+ (* (* x x) 1/2520) 1/60) x) (+ (* (* x x) 1/2520) 1/60) (* (* x x) 1/3) (+ (* 1/60 (* x x)) 1/3) (* (* 1/60 x) x) (* 1/60 x) (* (* x -1/60) x) (* x -1/60) (+ (* (- 1/3 (* (* x -1/60) x)) (* x x)) 2) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

3.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) x) (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (- 1/3 (* (* x -1/60) x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (- 1/3 (* (* x -1/60) x)) (* x x)) 2) x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) (* (+ (* (* x x) 1/2520) 1/60) x) (+ (* (* x x) 1/2520) 1/60) (* (* x x) 1/3) (+ (* 1/60 (* x x)) 1/3) (* (* 1/60 x) x) (* 1/60 x) (* (* x -1/60) x) (* x -1/60) (+ (* (- 1/3 (* (* x -1/60) x)) (* x x)) 2) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

2.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) x) (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (- 1/3 (* (* x -1/60) x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (- 1/3 (* (* x -1/60) x)) (* x x)) 2) x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) (* (+ (* (* x x) 1/2520) 1/60) x) (+ (* (* x x) 1/2520) 1/60) (* (* x x) 1/3) (+ (* 1/60 (* x x)) 1/3) (* (* 1/60 x) x) (* 1/60 x) (* (* x -1/60) x) (* x -1/60) (+ (* (- 1/3 (* (* x -1/60) x)) (* x x)) 2) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

simplify156.0ms (2.1%)

Memory

12.3MiB live, 109.7MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	628
1	503	622
2	1577	618
3	6587	618
0	8137	587

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/3 (pow x 2))
(* 1/60 (pow x 2))
(* -1/60 (pow x 2))
(* -1/60 x)
(* 1/2520 (pow x 2))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* 1/60 x)
(*.f64 #s(literal 1/60 binary64) x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* -1/60 (pow x 2))
(.f64 (.f64 #s(literal -1/60 binary64) x) x)
(* -1/60 x)
(*.f64 #s(literal -1/60 binary64) x)
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/2520 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* 1/2520 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2520 binary64))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))

rewrite168.0ms (2.2%)

Memory

39.5MiB live, 174.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	542
0	88	516
1	306	516
2	1992	516
0	8945	502

Stop Event

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

Counts

33 → 460

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
(.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (+ (* (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x))
(.f64 (.f64 #s(literal 1/60 binary64) x) x)
(*.f64 #s(literal 1/60 binary64) x)
(.f64 (.f64 x #s(literal -1/60 binary64)) x)
(*.f64 x #s(literal -1/60 binary64))
(fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))

Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x))) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 4 binary64)) x)) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))))
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(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 x x)) #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))))
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(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x)))

eval101.0ms (1.3%)

Memory: -14.5MiB live, 131.5MiB allocated; 30ms collecting garbage
Compiler: Compiled 25 946 to 3 035 computations (88.3% saved)

prune54.0ms (0.7%)

Memory

1.7MiB live, 45.9MiB allocated; 7ms collecting garbage

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	513	3	516
Fresh	0	5	5
Picked	2	3	5
Done	0	4	4
Total	515	15	530

Accuracy

100.0%

Counts

530 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
✓	55.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
	95.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	93.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	85.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	92.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	92.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	35.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
	35.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)

Compiler

Compiled 1 029 to 423 computations (58.9% saved)

regimes39.0ms (0.5%)

Memory

-25.3MiB live, 28.7MiB allocated; 9ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

25.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
7.0ms	x
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes18.0ms (0.2%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

7.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
95.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
95.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
95.6%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes38.0ms (0.5%)

Memory

-24.8MiB live, 19.4MiB allocated; 5ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

29.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
95.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
95.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
95.5%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes11.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x #s(literal -1/60 binary64)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/60 binary64) x)) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
93.0%	1	`x`
93.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
93.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/3 x) x) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
92.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
92.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
92.7%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes17.0ms (0.2%)

Memory

-25.3MiB live, 18.8MiB allocated; 4ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms	x
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
86.0%	1	`x`
86.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
85.9%	1	`x`
85.9%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
85.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.7%	2	`x`
85.7%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
85.7%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.1%)

Memory

-38.2MiB live, 6.8MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
55.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
55.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
55.7%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0011941626215351553	+inf

Compiler

Compiled 11 to 11 computations (0% saved)

simplify37.0ms (0.5%)

Memory

41.4MiB live, 41.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	209
1	102	209
2	194	209
3	478	209
4	1251	191

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))

Outputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 1152921504606847/576460752303423488 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))

derivations993.0ms (13.1%)

Memory

-6.7MiB live, 844.0MiB allocated; 112ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	184
1	279	183
2	903	177
3	3536	177
4	6904	177
0	8034	157
0	7	21
0	12	13
1	43	13
2	298	13
3	4659	13
0	9463	13
0	120	526
1	447	520
2	1435	517
3	6195	517
0	8270	491
0	42	382
0	72	356
1	256	356
2	1744	356
0	8990	347
0	29	251
0	51	235
1	190	235
2	1323	235
0	8361	235
0	129	605
1	487	599
2	1529	595
3	6410	595
0	8495	566

Stop Event

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

Compiler

Compiled 209 to 74 computations (64.6% saved)

preprocess52.0ms (0.7%)

Memory: 11.5MiB live, 102.1MiB allocated; 8ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 438 to 166 computations (62.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (25.4%)

explain185.0ms (2.4%)

preprocess146.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify133.0ms (1.8%)

localize46.0ms (0.6%)

series2.0ms (0%)

simplify200.0ms (2.6%)

rewrite219.0ms (2.9%)

eval49.0ms (0.6%)

prune11.0ms (0.1%)

simplify813.0ms (10.7%)

localize167.0ms (2.2%)

series10.0ms (0.1%)

simplify152.0ms (2%)

rewrite227.0ms (3%)

eval76.0ms (1%)

prune20.0ms (0.3%)

simplify184.0ms (2.4%)

localize238.0ms (3.1%)

series9.0ms (0.1%)

simplify177.0ms (2.3%)

rewrite248.0ms (3.3%)

eval128.0ms (1.7%)

prune21.0ms (0.3%)

simplify165.0ms (2.2%)

localize275.0ms (3.6%)

series28.0ms (0.4%)

simplify156.0ms (2.1%)

rewrite168.0ms (2.2%)

eval101.0ms (1.3%)

prune54.0ms (0.7%)

regimes39.0ms (0.5%)

regimes18.0ms (0.2%)

regimes38.0ms (0.5%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify37.0ms (0.5%)

derivations993.0ms (13.1%)

preprocess52.0ms (0.7%)

end0.0ms (0%)

Profiling