Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample658.0ms (11.2%)

Memory

-24.8MiB live, 590.2MiB allocated

Samples

387.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-expm1: 74.0ms (52.7% of total)

ival-div: 58.0ms (41.3% of total)

ival-true: 6.0ms (4.3% of total)

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

Bogosity

explain115.0ms (2%)

Memory

-28.6MiB live, 70.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
123	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	123	0

Confusion

	Predicted +	Predicted -
+	123	0
-	0	133

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	0
-	0	0	133

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (34.1% of total)

ival-exp: 4.0ms (34.1% of total)

ival-expm1: 3.0ms (25.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess178.0ms (3%)

Memory

14.2MiB live, 170.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	33	15
2	113	14
3	484	14
4	2280	14
0	5	6
0	8	6
1	19	6
2	39	6
3	91	6
4	316	6
5	2715	6
6	7309	6
0	8148	4

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (expm1.f64 x) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize18.0ms (0.3%)

Memory

-3.0MiB live, 35.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	28.473211717499165	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (32.5% of total)

ival-exp: 2.0ms (32.5% of total)

ival-expm1: 2.0ms (32.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 14

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (exp x) 1) (/ (- (exp x) 1) x) (exp x))
1.0ms	x	@	inf	((- (exp x) 1) (/ (- (exp x) 1) x) (exp x))
0.0ms	x	@	0	((- (exp x) 1) (/ (- (exp x) 1) x) (exp x))

simplify142.0ms (2.4%)

Memory

10.8MiB live, 204.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	99
1	107	99
2	349	99
3	1048	99
4	2913	99
5	6322	99
0	8592	78

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

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

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

rewrite247.0ms (4.2%)

Memory

1.5MiB live, 197.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	39	12
2	267	12
3	3150	12
0	8320	8

Stop Event

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

Counts

3 → 461

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) #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 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 3 binary64) 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 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (expm1.f64 x))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(.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 (pow.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (*.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 1 binary64)))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.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 2 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -2 binary64)))) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -2 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 (neg.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 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -3 binary64)))) (neg.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 2 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (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 (neg.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)))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.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)))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.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))))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (-.f64 (exp.f64 x) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 x))))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(exp.f64 x)
(+.f64 (.f64 (cosh.f64 x) #s(literal 1 binary64)) (.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 x)) (.f64 #s(literal 1 binary64) (cosh.f64 x)))
(+.f64 (.f64 (sinh.f64 x) #s(literal 1 binary64)) (.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))

eval115.0ms (2%)

Memory: 10.0MiB live, 134.4MiB allocated
Compiler: Compiled 8 520 to 1 387 computations (83.7% saved)

prune23.0ms (0.4%)

Memory

-4.6MiB live, 32.4MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	467	7	474
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	467	8	475

Accuracy

100.0%

Counts

475 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
	72.0%	(/.f64 #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)) x)
	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
▶	70.5%	#s(approx (/ (- (exp x) 1) 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)))
▶	64.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	50.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	49.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 166 to 131 computations (21.1% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize85.0ms (1.4%)

Memory

-19.0MiB live, 65.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(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))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.14453125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	18.853098065119042	#s(approx (/ (- (exp x) 1) 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)))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.14453125	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	22.561832131305398	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	31.936253206024844	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
accuracy	32.173416434094776	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0.00390625	(expm1.f64 x)
accuracy	0.01171875	(/.f64 (expm1.f64 x) x)

Samples

73.0ms

256×

valid

Compiler

Compiled 202 to 42 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 44.0ms (71.9% of total)

ival-add: 6.0ms (9.8% of total)

const: 6.0ms (9.8% of total)

ival-div: 2.0ms (3.3% of total)

ival-expm1: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

12 → 33

Calls

Call 1

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

Outputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1/2
(+ 1/2 (* 1/6 x))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(/ (- (exp x) 1) x)
(- (exp x) 1)
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -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) x) (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1))
1.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1))
1.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (/ (- (exp x) 1) x) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1))

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify188.0ms (3.2%)

Memory

-15.5MiB live, 140.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	233
1	257	225
2	862	221
3	3575	221
0	8349	181

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1/2
(+ 1/2 (* 1/6 x))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(/ (- (exp x) 1) x)
(- (exp x) 1)
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))

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

rewrite208.0ms (3.5%)

Memory

12.3MiB live, 210.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
0	33	84
1	144	84
2	1140	84
0	8319	84

Stop Event

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

Counts

12 → 527

Calls

Call 1

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

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

eval165.0ms (2.8%)

Memory: 16.7MiB live, 177.7MiB allocated
Compiler: Compiled 17 347 to 2 211 computations (87.3% saved)

prune47.0ms (0.8%)

Memory

8.6MiB live, 46.2MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	539	11	550
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	539	19	558

Accuracy

100.0%

Counts

558 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	72.0%	(/.f64 #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)) x)
▶	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
✓	70.5%	#s(approx (/ (- (exp x) 1) 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)))
	70.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.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))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	70.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	70.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	64.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	57.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) x #s(literal 1 binary64)))
	69.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
✓	50.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	52.9%	#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))))
	23.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
▶	24.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
	18.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
	18.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	3.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	49.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 708 to 478 computations (32.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize123.0ms (2.1%)

Memory

-33.5MiB live, 127.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(.f64 (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal -1/24 binary64) x))
accuracy	0.265625	(*.f64 #s(literal -1/24 binary64) x)
accuracy	14.08677295501745	(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))
accuracy	18.853098065119042	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.05078125	(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))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.14453125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	17.939357541414207	#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))
accuracy	0.14453125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.1953125	(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
accuracy	18.853098065119042	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
accuracy	30.400095750322645	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	30.91585845352817	#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
accuracy	31.936253206024844	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 (expm1.f64 x))
accuracy	0.00390625	(expm1.f64 x)
accuracy	0.07421875	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))

Samples

80.0ms

256×

valid

Compiler

Compiled 539 to 82 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 22.0ms (34.4% of total)

ival-mult: 19.0ms (29.7% of total)

const: 11.0ms (17.2% of total)

ival-add: 7.0ms (11% of total)

ival-expm1: 2.0ms (3.1% of total)

ival-sub: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

18 → 39

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(expm1.f64 x)
(neg.f64 (expm1.f64 x))
(/.f64 #s(literal -1 binary64) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1/24 binary64) x #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))
(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 (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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))
(*.f64 #s(literal -1/24 binary64) x)
(.f64 (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal -1/24 binary64) x))

Outputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/6 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))
(/ -1 x)
(* 1/2 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
1/6
(+ 1/6 (* 1/24 x))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* -1/24 x)
(* 1/576 (pow x 2))
(* -1 (/ (- 1 (exp x)) x))
(- (exp x) 1)
(- 1 (exp x))
(/ (- (exp x) 1) x)
(* x (+ 1/2 (/ 1 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -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

4.0ms

inf

((* (/ -1 x) (neg (- (exp x) 1))) (- (exp x) 1) (neg (- (exp x) 1)) (/ -1 x) (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (* (+ (* 1/24 x) 1/6) x) (+ (* 1/24 x) 1/6) (- (exp x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (/ (- 1/36 (* (* -1/24 x) (* -1/24 x))) (+ 1/6 (* -1/24 x))) (* -1/24 x) (* (* -1/24 x) (* -1/24 x)))

2.0ms

-inf

((* (/ -1 x) (neg (- (exp x) 1))) (- (exp x) 1) (neg (- (exp x) 1)) (/ -1 x) (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (* (+ (* 1/24 x) 1/6) x) (+ (* 1/24 x) 1/6) (- (exp x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (/ (- 1/36 (* (* -1/24 x) (* -1/24 x))) (+ 1/6 (* -1/24 x))) (* -1/24 x) (* (* -1/24 x) (* -1/24 x)))

2.0ms

((* (/ -1 x) (neg (- (exp x) 1))) (- (exp x) 1) (neg (- (exp x) 1)) (/ -1 x) (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (* (+ (* 1/24 x) 1/6) x) (+ (* 1/24 x) 1/6) (- (exp x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (/ (- 1/36 (* (* -1/24 x) (* -1/24 x))) (+ 1/6 (* -1/24 x))) (* -1/24 x) (* (* -1/24 x) (* -1/24 x)))

simplify194.0ms (3.3%)

Memory

8.4MiB live, 163.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	266
1	277	262
2	886	262
3	3696	258
0	8602	212

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/6 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))
(/ -1 x)
(* 1/2 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
1/6
(+ 1/6 (* 1/24 x))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* -1/24 x)
(* 1/576 (pow x 2))
(* -1 (/ (- 1 (exp x)) x))
(- (exp x) 1)
(- 1 (exp x))
(/ (- (exp x) 1) x)
(* x (+ 1/2 (/ 1 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))

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

rewrite287.0ms (4.9%)

Memory

-6.4MiB live, 310.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	177
0	65	162
1	245	150
2	2011	150
0	8675	148

Stop Event

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

Counts

18 → 814

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(expm1.f64 x)
(neg.f64 (expm1.f64 x))
(/.f64 #s(literal -1 binary64) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1/24 binary64) x #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))
(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 (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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))
(*.f64 #s(literal -1/24 binary64) x)
(.f64 (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal -1/24 binary64) x))

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

eval189.0ms (3.2%)

Memory: -3.6MiB live, 310.8MiB allocated
Compiler: Compiled 30 824 to 4 625 computations (85% saved)

prune35.0ms (0.6%)

Memory

19.7MiB live, 106.4MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	902	11	913
Fresh	1	7	8
Picked	3	2	5
Done	0	6	6
Total	906	26	932

Accuracy

100.0%

Counts

932 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	72.0%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
▶	71.7%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
✓	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
	71.9%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (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)))
	49.6%	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
✓	70.5%	#s(approx (/ (- (exp x) 1) 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)))
▶	70.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.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))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	70.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/576 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	70.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	64.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	57.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) x #s(literal 1 binary64)))
✓	50.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	52.9%	#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))))
	23.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
	24.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)))
	9.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/576 binary64))) (fma.f64 #s(literal -1/576 binary64) (.f64 x x) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x) x)))
▶	23.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
	18.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)))
	24.3%	#s(approx (/ (- (exp x) 1) x) #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)))))
	23.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
	18.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
▶	18.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	3.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	49.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 139 to 772 computations (32.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize140.0ms (2.4%)

Memory

3.6MiB live, 290.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.127285009768442	(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
accuracy	0.16015625	(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
accuracy	14.08677295501745	(/.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)))
accuracy	18.853098065119042	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.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))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.06640625	(fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64))
accuracy	0.265625	(*.f64 #s(literal 1/24 binary64) x)
accuracy	17.939357541414207	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	30.936964210075942	#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
accuracy	0.265625	(*.f64 #s(literal 1/24 binary64) x)
accuracy	18.853098065119042	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
accuracy	30.400095750322645	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x))
accuracy	30.936964210075942	#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.203125	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	22.561832131305398	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
accuracy	30.692212664226176	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.16015625	(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
accuracy	0.3203125	(*.f64 #s(literal 1/576 binary64) x)
accuracy	14.0170377976998	(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))
accuracy	17.939357541414207	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Samples

111.0ms

256×

valid

Compiler

Compiled 829 to 99 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-add: 38.0ms (42.6% of total)

ival-mult: 28.0ms (31.4% of total)

const: 15.0ms (16.8% of total)

ival-div: 6.0ms (6.7% of total)

ival-expm1: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-20.5MiB live, 18.0MiB allocated

Counts

17 → 50

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))
(*.f64 #s(literal 1/576 binary64) x)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
(*.f64 #s(literal 1/24 binary64) x)
#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.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))) x #s(literal 1/2 binary64)) x #s(literal 1 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)))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))

Outputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
6
(+ 6 (* -3/2 x))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(* 1/576 x)
-1/6
(- (* 1/24 x) 1/6)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/6 (pow x 2))
(pow x 2)
1/6
(+ 1/6 (* 1/24 x))
(* 1/24 x)
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
-1/36
(- (* 1/576 (pow x 2)) 1/36)
(- (exp x) 1)
(/ 24 x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(/ (- (exp x) 1) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -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

4.0ms

((- (exp x) 1) (/ (+ (* 1/24 x) -1/6) (+ (* (* 1/576 x) x) -1/36)) (* 1/576 x) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/6 x) 1/2) x) 1) (/ (- (exp x) 1) x) (* (* x x) 1/6) (* x x) (+ (* 1/24 x) 1/6) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (* 1/24 x) (- (exp x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (- (exp x) 1) x) (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (+ (* 1/576 (* x x)) -1/36))

2.0ms

-inf

((- (exp x) 1) (/ (+ (* 1/24 x) -1/6) (+ (* (* 1/576 x) x) -1/36)) (* 1/576 x) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/6 x) 1/2) x) 1) (/ (- (exp x) 1) x) (* (* x x) 1/6) (* x x) (+ (* 1/24 x) 1/6) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (* 1/24 x) (- (exp x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (- (exp x) 1) x) (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (+ (* 1/576 (* x x)) -1/36))

2.0ms

inf

((- (exp x) 1) (/ (+ (* 1/24 x) -1/6) (+ (* (* 1/576 x) x) -1/36)) (* 1/576 x) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/6 x) 1/2) x) 1) (/ (- (exp x) 1) x) (* (* x x) 1/6) (* x x) (+ (* 1/24 x) 1/6) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (- (exp x) 1) x) (* 1/24 x) (- (exp x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (/ (- (exp x) 1) x) (/ (+ (* 1/576 (* x x)) -1/36) (+ (* 1/24 x) -1/6)) (+ (* 1/576 (* x x)) -1/36))

simplify123.0ms (2.1%)

Memory

-5.4MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	368
1	447	356
2	1359	348
3	5368	344
0	8181	295

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
6
(+ 6 (* -3/2 x))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(* 1/576 x)
-1/6
(- (* 1/24 x) 1/6)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/6 (pow x 2))
(pow x 2)
1/6
(+ 1/6 (* 1/24 x))
(* 1/24 x)
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
-1/36
(- (* 1/576 (pow x 2)) 1/36)
(- (exp x) 1)
(/ 24 x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(/ (- (exp x) 1) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))

Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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)
6
#s(literal 6 binary64)
(+ 6 (* -3/2 x))
(fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -3/2 binary64)) x #s(literal 6 binary64))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/32 binary64) x #s(literal 3/8 binary64)) x #s(literal -3/2 binary64)) x #s(literal 6 binary64))
(* 1/576 x)
(*.f64 #s(literal 1/576 binary64) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
-1/36
#s(literal -1/36 binary64)
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(- (exp x) 1)
(expm1.f64 x)
(/ 24 x)
(/.f64 #s(literal 24 binary64) x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) x) #s(literal -24 binary64)) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1536 binary64) x) #s(literal 384 binary64)) x)) x) #s(literal -24 binary64)) x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(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))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) x) #s(literal -24 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1536 binary64) x) #s(literal 384 binary64)) x)) x) #s(literal -24 binary64)) x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(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))

rewrite175.0ms (3%)

Memory

18.7MiB live, 305.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	237
0	76	235
1	343	209
2	2488	209
0	8161	184

Stop Event

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

Counts

17 → 520

Calls

Call 1

Inputs
#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))
(*.f64 #s(literal 1/576 binary64) x)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
(*.f64 #s(literal 1/24 binary64) x)
#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.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))) x #s(literal 1/2 binary64)) x #s(literal 1 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)))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))

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 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))))
(.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64))))
(.f64 (/.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 1/576 binary64) x) x #s(literal -1/36 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
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(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (pow.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64))) (neg.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))) (.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))) #s(literal -1/46656 binary64))) (.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal -1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) (neg.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64))))))
(/.f64 (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/1296 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (+.f64 #s(literal 1/1296 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) x))) (neg.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) x))) #s(literal -1/36 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/24 binary64))) x #s(literal -1/36 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/576 binary64) (neg.f64 x))) x #s(literal -1/36 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) x)) #s(literal 1/24 binary64) #s(literal -1/36 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/576 binary64) x)) x #s(literal -1/36 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/24 binary64)) x #s(literal -1/36 binary64))
(fma.f64 (*.f64 #s(literal 1/576 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/36 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) x) #s(literal 1/24 binary64) #s(literal -1/36 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) x)) (neg.f64 (.f64 #s(literal 1/24 binary64) x)) #s(literal -1/36 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(fma.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x) #s(literal -1/36 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
(fma.f64 #s(literal 1/24 binary64) (fabs.f64 (.f64 x (.f64 #s(literal 1/24 binary64) x))) #s(literal -1/36 binary64))
(fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) x)) #s(literal -1/36 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/576 binary64))) #s(literal -1/36 binary64))
(fma.f64 x (fabs.f64 (.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/24 binary64) x))) #s(literal -1/36 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/576 binary64) x)) #s(literal -1/36 binary64))
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/24 binary64) x)) #s(literal -1/36 binary64))
(fma.f64 x (*.f64 #s(literal 1/576 binary64) x) #s(literal -1/36 binary64))
(-.f64 (/.f64 #s(literal 1/1296 binary64) (-.f64 #s(literal -1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal -1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1/46656 binary64) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))
(-.f64 #s(literal -1/36 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/576 binary64)))
(-.f64 #s(literal -1/36 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/576 binary64) x)) x))
(-.f64 #s(literal -1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x)))
(-.f64 #s(literal -1/36 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/576 binary64) x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) #s(literal -1/20736 binary64))))) (/.f64 #s(literal -1/46656 binary64) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(+.f64 #s(literal -1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))

eval111.0ms (1.9%)

Memory: -21.1MiB live, 254.4MiB allocated
Compiler: Compiled 24 160 to 4 147 computations (82.8% saved)

prune32.0ms (0.5%)

Memory

7.2MiB live, 85.5MiB allocated

Pruning

28 alts after pruning (18 fresh and 10 done)

	Pruned	Kept	Total
New	644	7	651
Fresh	2	11	13
Picked	3	2	5
Done	0	8	8
Total	649	28	677

Accuracy

100.0%

Counts

677 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	49.3%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( 1/24 x) -1/6) (+ (* (* 1/576 x) x) -1/36)) (fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	71.2%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
✓	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
	71.9%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (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)))
	49.6%	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
	55.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64))) (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)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	70.5%	#s(approx (/ (- (exp x) 1) 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)))
	70.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	49.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	70.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	64.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	50.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	52.9%	#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))))
	23.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
	24.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)))
	9.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/576 binary64))) (fma.f64 #s(literal -1/576 binary64) (.f64 x x) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x) x)))
✓	23.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
	24.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)))) x) x)))
	18.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)))
	24.3%	#s(approx (/ (- (exp x) 1) x) #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)))))
	23.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (.f64 x x))))
	23.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
	18.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
✓	18.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	3.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	49.7%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 638 to 703 computations (57.1% saved)

regimes23.0ms (0.4%)

Memory

5.9MiB live, 44.6MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) 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 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)))) x) x)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #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)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (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 #s(literal -1 binary64) x) #s(approx (neg (- (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) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.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))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/576 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( 1/24 x) -1/6) (+ (* (* 1/576 x) x) -1/36)) (fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/576 binary64))) (fma.f64 #s(literal -1/576 binary64) (.f64 x x) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64))) (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)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

12.0ms	x
9.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes21.0ms (0.4%)

Memory

-0.3MiB live, 44.3MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) 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 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)))) x) x)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #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)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (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 #s(literal -1 binary64) x) #s(approx (neg (- (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) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.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))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/576 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( 1/24 x) -1/6) (+ (* (* 1/576 x) x) -1/36)) (fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/576 binary64))) (fma.f64 #s(literal -1/576 binary64) (.f64 x x) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64))) (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)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))))

Outputs

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

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

Calls

2 calls:

11.0ms	x
8.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
74.4%	2	`x`
72.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes13.0ms (0.2%)

Memory

-12.7MiB live, 26.2MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) 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 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)))) x) x)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #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)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (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 #s(literal -1 binary64) x) #s(approx (neg (- (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) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.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))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/576 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( 1/24 x) -1/6) (+ (* (* 1/576 x) x) -1/36)) (fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x))) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 (.f64 x #s(literal 1/576 binary64))) (fma.f64 #s(literal -1/576 binary64) (.f64 x x) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal -1/36 binary64))) (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)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Outputs
(/.f64 #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)) x)

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
72.0%	1	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes12.0ms (0.2%)

Memory

28.2MiB live, 28.2MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) 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 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)))) x) x)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)

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

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
71.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
71.7%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes14.0ms (0.2%)

Memory

-12.8MiB live, 25.9MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) 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 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)))) x) x)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)

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

Calls

2 calls:

8.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
71.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
71.2%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes13.0ms (0.2%)

Memory

-11.6MiB live, 27.6MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( 1/24 x) 1/6) (.f64 #s(literal 1/24 binary64) x)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)))
#s(approx (/ (- (exp x) 1) x) #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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) 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 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* 1/576 (* x x)) -1/36) #s(literal -1/36 binary64)) (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 (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (sqrt.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)))) x) x)))

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

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
6.0ms	x

Results

Accuracy	Segments	Branch
70.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
70.5%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
69.7%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.2%)

Memory

-24.9MiB live, 20.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
4.0ms	x

Results

Accuracy	Segments	Branch
70.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
70.9%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
70.9%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory

-25.8MiB live, 13.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.7%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.5%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.5%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.5%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.1%	1	`x`
50.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

-31.6MiB live, 8.0MiB allocated

Accuracy

Total -29.9b remaining (-92.9%)

Threshold costs -29.9b (-92.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.7%	1	`x`
49.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch10.0ms (0.2%)

Memory

19.3MiB live, 19.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.2145973609591263e+101	5.728501781784053e+104

Samples

4.0ms

128×

valid

Compiler

Compiled 641 to 335 computations (47.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (59.2% of total)

ival-expm1: 1.0ms (59.2% of total)

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

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

bsearch14.0ms (0.2%)

Memory

-13.6MiB live, 25.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.344910454416435e-9	221.27750765481525

Samples

7.0ms

160×

valid

Compiler

Compiled 439 to 347 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (52.7% of total)

ival-expm1: 2.0ms (52.7% of total)

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

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

bsearch7.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.344910454416435e-9	221.27750765481525

Samples

3.0ms

80×

valid

Compiler

Compiled 509 to 347 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (69.4% of total)

ival-expm1: 1.0ms (69.4% of total)

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

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

bsearch8.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.344910454416435e-9	221.27750765481525

Samples

3.0ms

96×

valid

Compiler

Compiled 319 to 267 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (60.1% of total)

ival-expm1: 1.0ms (60.1% of total)

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

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

bsearch9.0ms (0.1%)

Memory

-28.8MiB live, 12.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	6.344910454416435e-9	221.27750765481525

Samples

2.0ms

64×

valid

Compiler

Compiled 309 to 257 computations (16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-expm1: 1.0ms (88.4% of total)

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

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

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

simplify58.0ms (1%)

Memory

-3.7MiB live, 114.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	401
1	111	400
2	139	399
3	184	399
4	222	399
5	288	399
6	393	399
7	539	399
8	708	399
9	876	399
10	993	399
11	1034	399
12	1036	399

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 15999999999999999632792212243925386055149483518786400098079935595711895234892638580852180711704184750080 binary64)) #s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x))))
(/.f64 #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)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 4841369599423283/1125899906842624 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #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))))))
(if (<=.f64 x #s(literal 13/2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 15999999999999999632792212243925386055149483518786400098079935595711895234892638580852180711704184750080 binary64)) #s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x))))
(if (<=.f64 x #s(literal 15999999999999999632792212243925386055149483518786400098079935595711895234892638580852180711704184750080 binary64)) #s(approx (/ (- (exp x) 1) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 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)))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x))))
(/.f64 #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)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) 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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 4841369599423283/1125899906842624 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #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))))))
(if (<=.f64 x #s(literal 13/2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

soundness1.9s (32.6%)

Memory

-2.2MiB live, 1 038.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	233
1	257	225
2	862	221
3	3575	221
0	8349	181
0	43	177
0	65	162
1	245	150
2	2011	150
0	8675	148
0	26	99
1	107	99
2	349	99
3	1048	99
4	2913	99
5	6322	99
0	8592	78
0	20	84
0	33	84
1	144	84
2	1140	84
0	8319	84
0	88	266
1	277	262
2	886	262
3	3696	258
0	8602	212
0	5	12
0	8	12
1	39	12
2	267	12
3	3150	12
0	8320	8
0	133	368
1	447	356
2	1359	348
3	5368	344
0	8181	295

Stop Event

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

Compiler

Compiled 599 to 256 computations (57.3% saved)

preprocess81.0ms (1.4%)

Memory: 9.1MiB live, 85.8MiB allocated
Compiler: Compiled 854 to 206 computations (75.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample658.0ms (11.2%)

explain115.0ms (2%)

preprocess178.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize18.0ms (0.3%)

series2.0ms (0%)

simplify142.0ms (2.4%)

rewrite247.0ms (4.2%)

eval115.0ms (2%)

prune23.0ms (0.4%)

simplify0.0ms (0%)

localize85.0ms (1.4%)

series5.0ms (0.1%)

simplify188.0ms (3.2%)

rewrite208.0ms (3.5%)

eval165.0ms (2.8%)

prune47.0ms (0.8%)

simplify0.0ms (0%)

localize123.0ms (2.1%)

series9.0ms (0.2%)

simplify194.0ms (3.3%)

rewrite287.0ms (4.9%)

eval189.0ms (3.2%)

prune35.0ms (0.6%)

simplify0.0ms (0%)

localize140.0ms (2.4%)

series9.0ms (0.2%)

simplify123.0ms (2.1%)

rewrite175.0ms (3%)

eval111.0ms (1.9%)

prune32.0ms (0.5%)

regimes23.0ms (0.4%)

regimes21.0ms (0.4%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

regimes9.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch10.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch7.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch9.0ms (0.1%)

simplify58.0ms (1%)

soundness1.9s (32.6%)

preprocess81.0ms (1.4%)

end0.0ms (0%)

Profiling