Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze33.0ms (2.4%)

Memory

-21.0MiB live, 23.1MiB allocated; 12ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75.9%	68.7%	21.9%	0.1%	0%	9.4%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
86%	71.8%	11.7%	0.1%	0%	16.4%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.4%	73.4%	6%	0.1%	0%	20.5%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample587.0ms (42.3%)

Memory

12.7MiB live, 581.5MiB allocated; 132ms collecting garbage

Samples

394.0ms	8 256×	0	valid
11.0ms	289×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult!: 96.0ms (61.7% of total)

ival-expm1: 56.0ms (36% of total)

adjust: 2.0ms (1.3% of total)

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

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

Bogosity

preprocess51.0ms (3.7%)

Memory

-14.5MiB live, 31.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	46	42
2	87	42
3	283	42
4	3581	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.3%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

6 → 17

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms	a	@	0	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms	x	@	0	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite133.0ms (9.6%)

Memory

17.3MiB live, 156.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	314
0	86	314
1	480	314
0	4428	271

Stop Event

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

Counts

23 → 55

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))

Outputs
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 x a))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))
(.f64 (exp.f64 (.f64 x a)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 x a)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(/.f64 (.f64 (exp.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))) (-.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)) (-.f64 (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))) (.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))))))
(+.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))
(+.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))
(exp.f64 (fma.f64 x a #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 x a))
(.f64 (.f64 #s(literal 1 binary64) x) a)
(.f64 (.f64 #s(literal 1 binary64) a) x)
(.f64 (.f64 x a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x a))
(*.f64 x a)
(*.f64 a x)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x a)) #s(literal 2 binary64))
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) a) #s(literal 1/24 binary64))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) x) #s(literal 1/24 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx x x)

eval5.0ms (0.4%)

Memory: 9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 365 to 172 computations (52.9% saved)

prune3.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Accuracy

100.0%

Counts

50 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	16.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	60.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
▶	68.4%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 88 to 86 computations (2.3% saved)

series18.0ms (1.3%)

Memory

-18.9MiB live, 26.4MiB allocated; 4ms collecting garbage

Counts

21 → 53

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x)
(fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 x x) x) a)
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal 1/6 binary64)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx a #s(hole binary64 a))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
#s(approx (* (* (* x x) x) a) #s(hole binary64 (* a (pow x 3))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/6 (* a (pow x 3)))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (* (* x x) x) a) (* (* x x) x) (* x x) 1/6 (* (* x x) 1/2) 1/2)
3.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (* (* x x) x) a) (* (* x x) x) (* x x) 1/6 (* (* x x) 1/2) 1/2)
2.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (* (* x x) x) a) (* (* x x) x) (* x x) 1/6 (* (* x x) 1/2) 1/2)
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (* (* x x) x) a) (* (* x x) x) (* x x) 1/6 (* (* x x) 1/2) 1/2)
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (* (* x x) x) a) (* (* x x) x) (* x x) 1/6 (* (* x x) 1/2) 1/2)

rewrite203.0ms (14.6%)

Memory

-5.5MiB live, 185.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1530
0	277	1415
1	1446	1408
0	8429	1360

Stop Event

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

Counts

74 → 239

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x)
(fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 x x) x) a)
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal 1/6 binary64)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx a #s(hole binary64 a))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
#s(approx (* (* (* x x) x) a) #s(hole binary64 (* a (pow x 3))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/6 (* a (pow x 3)))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Outputs
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(*.f64 a x)
(*.f64 x a)
x
a
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))
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(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))))) (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))))))
(+.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) x)
(+.f64 x (.f64 (neg.f64 (neg.f64 a)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) a) (.f64 (.f64 (.f64 x x) x) a)) #s(literal 1/36 binary64) (fma.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/6 binary64) a) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/6 binary64) a) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) a)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) x) a)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) a)) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 x) (.f64 x #s(literal 1/2 binary64))))
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 (neg.f64 (.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 x x) x) a)
(.f64 (.f64 x x) (*.f64 a x))
(.f64 a (.f64 (*.f64 x x) x))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/6 binary64)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx a a)
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) x)
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* (* x x) x) a) (.f64 (.f64 (*.f64 x x) x) a))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (.f64 (*.f64 a a) a)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (.f64 a a)))) (.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 a a) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (.f64 a a)))) (.f64 a a)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (neg.f64 a) (.f64 a a)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (neg.f64 a) (.f64 a a)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 x a)) a))) (.f64 a a)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (neg.f64 a) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a)))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) x) #s(literal 1/24 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) a)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (/.f64 a (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 a a) #s(literal 1/6 binary64) (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 (/.f64 (.f64 a a) x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 a a) a)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 a a) a) (neg.f64 (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 (/.f64 a x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 a a)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (.f64 a a) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 (.f64 #s(literal -1/6 binary64) a) (/.f64 #s(literal 1/2 binary64) x))))

eval25.0ms (1.8%)

Memory: 35.7MiB live, 35.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 334 to 1 151 computations (65.5% saved)

prune18.0ms (1.3%)

Memory

-43.4MiB live, 9.7MiB allocated; 8ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	224	5	229

Accuracy

100.0%

Counts

229 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	16.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	65.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x))) a x) a))
✓	68.4%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 52 to 51 computations (1.9% saved)

series10.0ms (0.7%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

12 → 47

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/6 (* a (pow x 3)))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* a x)) 1/2) (* x x)) (+ (* 1/6 (* a x)) 1/2) 1/6 (* a x) a x 1/2 (* x x))
2.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* a x)) 1/2) (* x x)) (+ (* 1/6 (* a x)) 1/2) 1/6 (* a x) a x 1/2 (* x x))
2.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* a x)) 1/2) (* x x)) (+ (* 1/6 (* a x)) 1/2) 1/6 (* a x) a x 1/2 (* x x))
1.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* a x)) 1/2) (* x x)) (+ (* 1/6 (* a x)) 1/2) 1/6 (* a x) a x 1/2 (* x x))
1.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* a x)) 1/2) (* x x)) (+ (* 1/6 (* a x)) 1/2) 1/6 (* a x) a x 1/2 (* x x))

rewrite170.0ms (12.2%)

Memory

0.2MiB live, 279.9MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	1511
0	242	1410
1	1286	1407
0	8509	1285

Stop Event

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

Counts

59 → 133

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x))) a x) a))
(.f64 (fma.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x))) a x) a)
(fma.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x))) a x)
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 a x)
a
x
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 (* a x)))))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/6 (* a (pow x 3)))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* 1/6 (* a x))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x) a))
(.f64 (fma.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x) a)
(.f64 a (fma.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x))
(fma.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) a (.f64 x a))
(fma.f64 x a (.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a) a))
(fma.f64 a x (.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a) a))
(+.f64 (.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) a) (.f64 x a))
(+.f64 (.f64 x a) (.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a) a))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 2 binary64))) (-.f64 x (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 2 binary64)) (.f64 x (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a) x))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (+.f64 (pow.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a)))))
(fma.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a x)
(fma.f64 a #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) x)
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a) x)))
(-.f64 x (.f64 (neg.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x))) a))
(-.f64 x (.f64 (neg.f64 a) #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a))))) (/.f64 (.f64 (.f64 x x) x) (+.f64 (pow.f64 (.f64 #s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x)) a) #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a))))))
(+.f64 (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a) x)
(+.f64 x (.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)) a))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x a))) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x a))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x a)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (.f64 x x)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (.f64 x x)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x a))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x a))) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x a)))) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x a)))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (.f64 x x)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (*.f64 x x))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x a))))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x a))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (*.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x a))))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (*.f64 x x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 1/6 binary64) (.f64 x a))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x a)) (.f64 x x)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 x a))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 x a)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x a) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x a))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x a)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))))))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x a))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x a)))) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x a)))))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/6 binary64) a) x))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 x a)) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x a)))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x a)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x a)))
#s(literal 1/6 binary64)
(*.f64 x a)
(*.f64 a x)
a
x
#s(literal 1/2 binary64)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) x)
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/6 (* a x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 (* a x)) 1/2) (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (.f64 (*.f64 a a) a)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (.f64 a a)))) (.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 a a) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (.f64 a a)))) (.f64 a a)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a))
#s(approx (+ (* 1/6 (* a x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a)))
#s(approx (+ (* 1/6 (* a x)) 1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) a))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) a)))) (.f64 (*.f64 a a) a)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (neg.f64 (.f64 (.f64 a a) a)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)) (*.f64 a a)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (neg.f64 a) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a)))))
#s(approx (+ (* 1/6 (* a x)) 1/2) (.f64 (neg.f64 a) (-.f64 (.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) x) #s(literal 1/24 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) a)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (/.f64 a (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 a a) #s(literal 1/6 binary64) (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* 1/6 (* a x)) 1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (neg.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 a a) a)))) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 a a) a) (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (neg.f64 x)))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (neg.f64 (fma.f64 (/.f64 a x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a a)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (neg.f64 (.f64 (.f64 x x) x)) (-.f64 (.f64 #s(literal -1/6 binary64) a) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* 1/6 (* a x)) 1/2) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/6 binary64) a) (/.f64 #s(literal 1/2 binary64) x))))

eval14.0ms (1%)

Memory: 36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 116 to 769 computations (63.7% saved)

prune9.0ms (0.6%)

Memory

-33.2MiB live, 12.0MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	125	5	130

Accuracy

100.0%

Counts

130 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	16.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	65.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x))) a x) a))
✓	68.4%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 106 to 93 computations (12.3% saved)

regimes11.0ms (0.8%)

Memory

27.7MiB live, 27.7MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))

Outputs
(expm1.f64 (*.f64 x a))

Calls

5 calls:

2.0ms	x
2.0ms	a
2.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 a x)`
100.0%	1	`(exp.f64 (*.f64 a x))`
100.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
100.0%	1	`a`
100.0%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes16.0ms (1.2%)

Memory

-30.9MiB live, 20.2MiB allocated; 12ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

#s(approx (- (exp (* a x)) 1) (*.f64 x a))

(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Calls

5 calls:

10.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	x
2.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
68.4%	1	`(*.f64 a x)`
68.4%	1	`(exp.f64 (*.f64 a x))`
68.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.4%	1	`a`
68.4%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.3%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Calls

5 calls:

1.0ms	x
1.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
16.1%	1	`(*.f64 a x)`
16.1%	1	`(exp.f64 (*.f64 a x))`
16.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
16.1%	1	`a`
16.1%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations44.0ms (3.2%)

Memory

5.3MiB live, 50.9MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 12 computations (20% saved)

preprocess29.0ms (2.1%)

Memory: 13.9MiB live, 59.1MiB allocated; 6ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 63 to 60 computations (4.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze33.0ms (2.4%)

sample587.0ms (42.3%)

preprocess51.0ms (3.7%)

series5.0ms (0.3%)

rewrite133.0ms (9.6%)

eval5.0ms (0.4%)

prune3.0ms (0.2%)

series18.0ms (1.3%)

rewrite203.0ms (14.6%)

eval25.0ms (1.8%)

prune18.0ms (1.3%)

series10.0ms (0.7%)

rewrite170.0ms (12.2%)

eval14.0ms (1%)

prune9.0ms (0.6%)

regimes11.0ms (0.8%)

regimes16.0ms (1.2%)

regimes5.0ms (0.3%)

derivations44.0ms (3.2%)

preprocess29.0ms (2.1%)

end0.0ms (0%)

Profiling