Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.5s (71.2%)

Memory

-67.1MiB live, 3 380.2MiB allocated; 1.7s collecting garbage

Samples

2.8s	5 797×	2	valid
301.0ms	2 320×	1	valid
10.0ms	139×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-exp: 2.3s (79.4% of total)

adjust: 341.0ms (11.9% of total)

ival-add!: 125.0ms (4.4% of total)

ival-sub!: 80.0ms (2.8% of total)

ival-neg: 44.0ms (1.5% of total)

Bogosity

preprocess31.0ms (0.6%)

Memory

-12.5MiB live, 44.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	54	24
2	202	18
3	1364	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series8.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	286

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	0
1.0ms	x	-inf
0.0ms	x	inf

rewrite113.0ms (2.3%)

Memory

14.5MiB live, 151.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	65	21
2	283	19
3	1514	19
0	4301	18

Stop Event

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

Counts

7 → 382

Calls

Call 1

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

Outputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (exp.f64 x))) (exp.f64 x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x))) (exp.f64 x))
(*.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (fma.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (fma.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (fma.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (fma.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) (fma.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 x))) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (fma.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal -1 binary64))) (exp.f64 x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 #s(literal -2 binary64) #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x)))) (-.f64 (cosh.f64 x) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)))) (-.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))) (.f64 (sinh.f64 x) (sinh.f64 x))) (+.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (sinh.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))))) (+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (sinh.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x)) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x))) (.f64 (cosh.f64 x) (-.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (sinh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) (.f64 (exp.f64 x) (-.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x))) (sinh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))))))
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(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 x))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (cosh.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)))
(sqrt.f64 (.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(exp.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64))))
(exp.f64 (+.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 0 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(exp.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x x) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (cosh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))) (sinh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(+.f64 (cosh.f64 (-.f64 #s(literal 0 binary64) x)) (sinh.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (cosh.f64 (.f64 x #s(literal -1 binary64))) (sinh.f64 (.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 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(neg.f64 x)

eval46.0ms (0.9%)

Memory: -6.5MiB live, 97.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 6 496 to 1 320 computations (79.7% saved)

prune12.0ms (0.3%)

Memory

-6.4MiB live, 40.1MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	392	7	399
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	393	7	400

Accuracy

100.0%

Counts

400 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	56.8%	(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
▶	57.5%	(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
▶	54.1%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))

Compiler

Compiled 182 to 140 computations (23.1% saved)

series17.0ms (0.3%)

Memory

-13.0MiB live, 32.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	805

Stop Event

1×	iter-limit

Counts

25 → 51

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/360 binary64)
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 x)
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 (expm1.f64 x))
(expm1.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx x x)
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) #s(literal 1 binary64))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1/12 (* 1/360 (pow x 2))) #s(literal 1/12 binary64))
#s(approx (+ 1/12 (* 1/360 (pow x 2))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/360 (pow x 2)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (neg (- (exp x) 1)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (neg (- (exp x) 1)) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (neg (- (exp x) 1)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ 1/12 (* 1/360 (pow x 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp x) 2) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (* 2 (cosh x)) -2) (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (neg (- (exp x) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

Time	Variable	Point
3.0ms	x	inf
3.0ms	x	-inf
2.0ms	x	0

rewrite173.0ms (3.5%)

Memory

10.9MiB live, 290.9MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	144
0	46	142
1	252	136
2	1088	132
0	4088	124

Stop Event

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

Counts

25 → 917

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/360 binary64)
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 x)
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 (expm1.f64 x))
(expm1.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) x))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x) x))
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(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
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(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(-.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
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(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(expm1.f64 (neg.f64 (neg.f64 x)))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval89.0ms (1.8%)

Memory: 31.5MiB live, 215.7MiB allocated; 39ms collecting garbage
Compiler: Compiled 17 925 to 2 832 computations (84.2% saved)

prune18.0ms (0.4%)

Memory

6.9MiB live, 52.3MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	739	6	745
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	745	7	752

Accuracy

100.0%

Counts

752 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	57.5%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
▶	97.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
▶	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 217 to 147 computations (32.3% saved)

series17.0ms (0.3%)

Memory

-9.3MiB live, 36.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	700

Stop Event

1×	iter-limit

Counts

22 → 38

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(expm1.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx x x)
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (pow x -2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* (* x x) (* x x))) (* x x)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* (* x x) (* x x))) (* x x)) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* (* x x) (* x x))) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/360 binary64)))))

Calls

3 calls:

Time	Variable	Point
7.0ms	x	-inf
2.0ms	x	0
2.0ms	x	inf

rewrite198.0ms (4%)

Memory

-12.5MiB live, 379.5MiB allocated; 132ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	174
0	45	164
1	243	146
2	1027	146
0	4022	141

Stop Event

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

Counts

22 → 1 089

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
(expm1.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))

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

eval230.0ms (4.7%)

Memory: -2.8MiB live, 319.7MiB allocated; 165ms collecting garbage
Compiler: Compiled 37 871 to 4 258 computations (88.8% saved)

prune21.0ms (0.4%)

Memory

6.6MiB live, 52.9MiB allocated; 6ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 111	4	1 115
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	1 113	9	1 122

Accuracy

100.0%

Counts

1 122 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	57.5%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
▶	55.5%	(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
▶	97.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
✓	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 159 to 111 computations (30.2% saved)

series12.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	763

Stop Event

1×	iter-limit

Counts

22 → 43

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fabs.f64 x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(expm1.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (fabs x) (sqrt (/ 1 (* x x)))) (*.f64 x (fabs.f64 x)))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(approx (- (exp (neg x)) 1) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (- (exp x) 1) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/360 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/360 binary64)))))
#s(approx (/ (fabs x) (sqrt (/ 1 (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fabs.f64 x))))
#s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))

Calls

3 calls:

Time	Variable	Point
2.0ms	x	-inf
2.0ms	x	inf
2.0ms	x	0

rewrite140.0ms (2.8%)

Memory

3.6MiB live, 164.9MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	213
0	48	198
1	254	182
2	976	172
0	4161	158

Stop Event

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

Counts

22 → 751

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fabs.f64 x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(expm1.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x))) (*.f64 x x))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)) (.f64 x x))) (.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)))
(.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (neg.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)))
(.f64 (fabs.f64 x) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) (fabs.f64 x) (fabs.f64 x)))
(.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) (fabs.f64 x))))
(.f64 (fabs.f64 x) (-.f64 (.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) (fabs.f64 x)) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) (neg.f64 x) (neg.f64 x)))
(.f64 (neg.f64 x) (+.f64 (neg.f64 x) (.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) (neg.f64 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) (neg.f64 x)) (neg.f64 (neg.f64 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) (neg.f64 x)) x))
(.f64 x (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) (neg.f64 (neg.f64 x))))
(.f64 x (fma.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x) x))
(.f64 x (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) x x))
(.f64 x (+.f64 (neg.f64 (neg.f64 x)) (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x))))
(.f64 x (+.f64 x (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x))))
(.f64 x (+.f64 x (.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) x)))
(.f64 x (-.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) x)) (neg.f64 x)))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (neg.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 x x) x) x)))) (+.f64 (.f64 x x) (.f64 (neg.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) (.f64 (.f64 (*.f64 x x) x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 (.f64 (neg.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) (.f64 (neg.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) (.f64 (.f64 (*.f64 x x) x) x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)))) (-.f64 (.f64 x x) (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x))))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(approx (+ ( 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)) (+.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (.f64 (.f64 x x) x)) (*.f64 (neg.f64 x) x)))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (+.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))) (.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (expm1.f64 x) (expm1.f64 x) (fma.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (neg.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (*.f64 (expm1.f64 x) (neg.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (-.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))))))
(/.f64 (-.f64 (.f64 (expm1.f64 x) (expm1.f64 x)) (.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))) (-.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (exp.f64 x)) (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (exp.f64 x))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 x)))) (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (neg.f64 (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (expm1.f64 x) (expm1.f64 x) (-.f64 (.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (exp.f64 x)) (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (fma.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (neg.f64 (expm1.f64 x))))))
(/.f64 (-.f64 (.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (.f64 (expm1.f64 x) (expm1.f64 x))) (-.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x)))
(/.f64 (+.f64 (pow.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (-.f64 (.f64 (expm1.f64 x) (expm1.f64 x)) (.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x)))))
(neg.f64 (-.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (expm1.f64 x)))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x))) (exp.f64 x)))
(neg.f64 (-.f64 (neg.f64 (expm1.f64 x)) #s(approx (- (exp (neg x)) 1) (neg.f64 x))))
(-.f64 (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))
(-.f64 (expm1.f64 x) (neg.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x))))
(-.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(-.f64 (exp.f64 x) (neg.f64 (+.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x))))
(+.f64 (+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (exp.f64 x)) #s(literal -1 binary64))
(+.f64 (expm1.f64 x) (neg.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)))))
(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
(+.f64 #s(approx (- (exp (neg x)) 1) (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))))
(+.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (neg.f64 x))))
#s(approx (- (exp (neg x)) 1) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(neg.f64 (neg.f64 (neg.f64 x)))
(neg.f64 x)
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(expm1.f64 (neg.f64 (neg.f64 x)))
(expm1.f64 x)
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.f64 x)))
(-.f64 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))

eval106.0ms (2.2%)

Memory: -39.5MiB live, 146.9MiB allocated; 22ms collecting garbage
Compiler: Compiled 23 609 to 2 998 computations (87.3% saved)

prune14.0ms (0.3%)

Memory

43.6MiB live, 43.6MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	755	4	759
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	756	12	768

Accuracy

100.0%

Counts

768 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	57.5%	(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
	55.5%	(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
✓	97.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
	98.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal 1 binary64) x))))
	53.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) x))))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
✓	98.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 229 to 163 computations (28.8% saved)

regimes59.0ms (1.2%)

Memory

-26.0MiB live, 117.5MiB allocated; 20ms collecting garbage

Accuracy

Total -28.9b remaining (-849.8%)

Threshold costs -28.9b (-849.8%)

Counts

7 → 1

8 → 1

11 → 1

15 → 1

17 → 1

22 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))

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

Call 2

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))

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

Call 3

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))

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

Call 4

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))

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

Call 5

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))

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

Call 6

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal -1 binary64) x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) #s(approx (sqrt (/ 1 (* x x))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (expm1.f64 x) #s(approx (- (exp (neg x)) 1) (neg.f64 x)))
(+.f64 #s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) (expm1.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))
(+.f64 (expm1.f64 (neg.f64 x)) (expm1.f64 x))
(-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))

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

Calls

12 calls:

9.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
6.0ms	x
6.0ms	x
5.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.5%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.2%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.3%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.3%	1	`x`

Compiler

Compiled 427 to 142 computations (66.7% saved)

derivations49.0ms (1%)

Memory

21.9MiB live, 68.1MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 145 to 35 computations (75.9% saved)

preprocess58.0ms (1.2%)

Memory: 3.6MiB live, 143.7MiB allocated; 17ms collecting garbage
Remove: (abs x)
Compiler: Compiled 454 to 241 computations (46.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.5s (71.2%)

preprocess31.0ms (0.6%)

series8.0ms (0.2%)

rewrite113.0ms (2.3%)

eval46.0ms (0.9%)

prune12.0ms (0.3%)

series17.0ms (0.3%)

rewrite173.0ms (3.5%)

eval89.0ms (1.8%)

prune18.0ms (0.4%)

series17.0ms (0.3%)

rewrite198.0ms (4%)

eval230.0ms (4.7%)

prune21.0ms (0.4%)

series12.0ms (0.2%)

rewrite140.0ms (2.8%)

eval106.0ms (2.2%)

prune14.0ms (0.3%)

regimes59.0ms (1.2%)

derivations49.0ms (1%)

preprocess58.0ms (1.2%)

end0.0ms (0%)

Profiling