Metrics for expm1 (example 3.7)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample444.0ms (22.5%)

Memory

-36.3MiB live, 555.7MiB allocated; 182ms collecting garbage

Samples

291.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-expm1: 120.0ms (99% of total)

adjust: 2.0ms (1.6% of total)

Bogosity

explain57.0ms (2.9%)

Memory

5.7MiB live, 97.5MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
255	-	2	(0.010499517083099414)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	253	2

Confusion

	Predicted +	Predicted -
+	253	2
-	0	1

Precision

1.0

Recall

0.9921568627450981

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	2	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (52.1% of total)

ival-expm1: 4.0ms (52.1% of total)

adjust: 0.0ms (0% of total)

preprocess34.0ms (1.7%)

Memory

-10.1MiB live, 35.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	15
2	42	15
3	149	15
4	718	15
5	7965	15

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.4%	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Counts

4 → 11

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((- (exp x) 1) (exp x) x 1)
0.0ms	x	@	0	((- (exp x) 1) (exp x) x 1)
0.0ms	x	@	inf	((- (exp x) 1) (exp x) x 1)

rewrite185.0ms (9.4%)

Memory

19.0MiB live, 259.6MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	117
0	40	117
1	226	117
2	2046	117
0	8915	92

Stop Event

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

Counts

15 → 63

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: 13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 050 to 208 computations (80.2% saved)

prune5.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	51	8	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	8	60

Accuracy

100.0%

Counts

60 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.7%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
	7.4%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
	7.0%	(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 x)
▶	99.5%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	99.2%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	98.7%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	98.0%	#s(approx (- (exp x) 1) x)

Compiler

Compiled 170 to 130 computations (23.5% saved)

series8.0ms (0.4%)

Memory

-31.9MiB live, 15.0MiB allocated; 1ms collecting garbage

Counts

19 → 60

Calls

Call 1

Inputs
(expm1.f64 x)
x
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24)
2.0ms	x	@	-inf	((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24)
2.0ms	x	@	0	((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24)

Time

Variable

Point

Expression

2.0ms

inf

((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24)

2.0ms

-inf

((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24)

2.0ms

((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24)

rewrite195.0ms (9.9%)

Memory

-3.6MiB live, 188.5MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	1123
0	185	1030
1	791	1009
0	6561	1009

Stop Event

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

Counts

79 → 371

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
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(/.f64 (.f64 x (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
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(/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))
(-.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (/.f64 #s(literal -1/6 binary64) x) x))
(-.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1/6 binary64) x)))
(-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (/.f64 (.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
#s(literal 1/24 binary64)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (+ (* 1/2 x) 1) x) x)
#s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (* (+ (* 1/2 x) 1) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) #s(literal 1/24 binary64))))

eval42.0ms (2.1%)

Memory: 24.5MiB live, 70.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 235 to 1 512 computations (81.6% saved)

prune29.0ms (1.5%)

Memory

-22.3MiB live, 24.7MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	350	3	353
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	352	9	361

Accuracy

100.0%

Counts

361 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	7.4%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	7.0%	(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 x)
▶	99.5%	#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x))
▶	98.8%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
	53.4%	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
✓	99.2%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	98.0%	#s(approx (- (exp x) 1) x)

Compiler

Compiled 240 to 140 computations (41.7% saved)

series6.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

25 → 69

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (- (exp x) 1) (exp x) (- x -1) -1 1 (- (exp x) 1) (+ (* (* x x) 1/2) x) (- (exp x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))
2.0ms	x	@	inf	((- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (- (exp x) 1) (exp x) (- x -1) -1 1 (- (exp x) 1) (+ (* (* x x) 1/2) x) (- (exp x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))
1.0ms	x	@	0	((- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (- (exp x) 1) (exp x) (- x -1) -1 1 (- (exp x) 1) (+ (* (* x x) 1/2) x) (- (exp x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))

Time

Variable

Point

Expression

2.0ms

-inf

((- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (- (exp x) 1) (exp x) (- x -1) -1 1 (- (exp x) 1) (+ (* (* x x) 1/2) x) (- (exp x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))

2.0ms

inf

((- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (- (exp x) 1) (exp x) (- x -1) -1 1 (- (exp x) 1) (+ (* (* x x) 1/2) x) (- (exp x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))

1.0ms

((- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (- (exp x) 1) (exp x) (- x -1) -1 1 (- (exp x) 1) (+ (* (* x x) 1/2) x) (- (exp x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (- (exp x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2))

rewrite166.0ms (8.4%)

Memory

17.7MiB live, 254.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	1213
0	217	1120
1	992	1108
0	8561	1091

Stop Event

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

Counts

94 → 550

Calls

Call 1

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

Outputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
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(fma.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) x) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/12 binary64) x)))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/12 binary64) x)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (exp x) #s(literal 1 binary64))
(.f64 (.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
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(/.f64 (*.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
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(*.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (* x x) 1/2) x) x)
#s(approx (+ (* (* x x) 1/2) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (.f64 (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (* x x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/2) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (.f64 x x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) x) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/6 binary64)) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/6 binary64))))

eval134.0ms (6.8%)

Memory: -9.6MiB live, 126.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 12 343 to 2 307 computations (81.3% saved)

prune15.0ms (0.7%)

Memory

-21.9MiB live, 30.4MiB allocated; 9ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	553	9	562

Accuracy

100.0%

Counts

562 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.7%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	7.4%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	7.0%	(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 x)
✓	99.5%	#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x))
✓	98.8%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
▶	53.4%	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
✓	99.2%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	98.0%	#s(approx (- (exp x) 1) x)

Compiler

Compiled 131 to 79 computations (39.7% saved)

series7.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

13 → 59

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(*.f64 x x)
x
(.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))

Outputs
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 x))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (pow x 2))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -1/6 x) 1/4))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* x (- (* -5/72 x) 1/6)) 1/4))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* 1/4 (pow x 4))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* 1/6 x)))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 x)))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* x (- (* -1/6 x) 1/2))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* -1/576 (pow x 8))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* -1 (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x)))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) (pow x 2))) (+ 1/576 (* 1/72 (/ 1 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* 1/576 (pow x 8))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (/ 1 (pow x 3)) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 1/72 (+ (/ 1/6 (pow x 2)) (* 5/72 (/ 1 x)))) x)) 1/576))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))) x)) 1/24))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* x x) x (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1/2 (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))
2.0ms	x	@	-inf	((- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* x x) x (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1/2 (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))
1.0ms	x	@	0	((- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* x x) x (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1/2 (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))

Time

Variable

Point

Expression

3.0ms

inf

((- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* x x) x (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1/2 (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))

2.0ms

-inf

((- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* x x) x (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1/2 (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))

1.0ms

((- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* x x) x (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1/2 (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))

rewrite159.0ms (8.1%)

Memory

28.8MiB live, 261.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1970
0	266	1593
1	1407	1395
0	8056	1358

Stop Event

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

Counts

72 → 195

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(*.f64 x x)
x
(.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 x))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (pow x 2))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -1/6 x) 1/4))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* x (- (* -5/72 x) 1/6)) 1/4))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* 1/4 (pow x 4))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* 1/6 x)))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 x)))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* x (- (* -1/6 x) 1/2))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* -1/576 (pow x 8))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* -1 (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x)))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) (pow x 2))) (+ 1/576 (* 1/72 (/ 1 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* 1/576 (pow x 8))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (/ 1 (pow x 3)) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 1/72 (+ (/ 1/6 (pow x 2)) (* 5/72 (/ 1 x)))) x)) 1/576))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))) x)) 1/24))))

Outputs
#s(approx (- (exp x) 1) (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) (.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))) (+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))))))
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(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))) (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
(-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
(+.f64 x (.f64 (neg.f64 (.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) x)
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 x x))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/72 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/72 binary64) x #s(literal 5/72 binary64)) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x)
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/576 binary64)))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/72 binary64) x) #s(literal 1/72 binary64)) x)) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (.f64 x x))) (/.f64 #s(literal 1/72 binary64) x)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (.f64 x x))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/72 binary64) x))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 5/72 binary64) x)) x)) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x)) #s(literal 1/72 binary64)) x) #s(literal -1 binary64) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))

eval107.0ms (5.4%)

Memory: 40.6MiB live, 147.8MiB allocated; 30ms collecting garbage
Compiler: Compiled 22 688 to 1 898 computations (91.6% saved)

prune54.0ms (2.8%)

Memory

9.6MiB live, 37.8MiB allocated; 13ms collecting garbage

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	383	3	386
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	384	11	395

Accuracy

100.0%

Counts

395 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.7%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	7.4%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	7.0%	(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 x)
✓	99.5%	#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x))
✓	98.8%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
	53.4%	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
	53.4%	#s(approx (- (exp x) 1) (/.f64 (.f64 (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
	53.4%	#s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/72 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
✓	99.2%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	98.0%	#s(approx (- (exp x) 1) x)

Compiler

Compiled 576 to 215 computations (62.7% saved)

regimes11.0ms (0.6%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x))
#s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/72 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
#s(approx (- (exp x) 1) (/.f64 (.f64 (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))

Outputs
(expm1.f64 x)

Calls

3 calls:

4.0ms	x
3.0ms	(exp.f64 x)
3.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes14.0ms (0.7%)

Memory

-19.9MiB live, 24.1MiB allocated; 8ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x))
#s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/72 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
#s(approx (- (exp x) 1) (/.f64 (.f64 (+.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))

Outputs
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x))

Calls

3 calls:

8.0ms	x
3.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.5%	1	`(exp.f64 x)`
99.5%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
99.5%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.4%)

Memory

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

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) x)
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Outputs
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Calls

3 calls:

3.0ms	x
2.0ms	(exp.f64 x)
2.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.5%	1	`(exp.f64 x)`
99.5%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
99.5%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.5%)

Memory

-25.8MiB live, 19.3MiB allocated; 5ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(exp.f64 x)
2.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(exp.f64 x)`
98.8%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
98.8%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (exp x) 1) x)

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(exp.f64 x)`
98.7%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
98.7%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Accuracy

Total -58.3b remaining (-4599.2%)

Threshold costs -58.3b (-4599.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (- (exp x) 1) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(exp.f64 x)`
98.0%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
98.0%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations224.0ms (11.4%)

Memory

-88.0MiB live, 201.1MiB allocated; 50ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 78 to 27 computations (65.4% saved)

preprocess35.0ms (1.8%)

Memory: 28.9MiB live, 74.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 168 to 66 computations (60.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample444.0ms (22.5%)

explain57.0ms (2.9%)

preprocess34.0ms (1.7%)

series1.0ms (0.1%)

rewrite185.0ms (9.4%)

eval6.0ms (0.3%)

prune5.0ms (0.3%)

series8.0ms (0.4%)

rewrite195.0ms (9.9%)

eval42.0ms (2.1%)

prune29.0ms (1.5%)

series6.0ms (0.3%)

rewrite166.0ms (8.4%)

eval134.0ms (6.8%)

prune15.0ms (0.7%)

series7.0ms (0.3%)

rewrite159.0ms (8.1%)

eval107.0ms (5.4%)

prune54.0ms (2.8%)

regimes11.0ms (0.6%)

regimes14.0ms (0.7%)

regimes7.0ms (0.4%)

regimes10.0ms (0.5%)

regimes5.0ms (0.3%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

derivations224.0ms (11.4%)

preprocess35.0ms (1.8%)

end0.0ms (0%)

Profiling