Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

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)

sample1.1s (18.4%)

Memory

-115.2MiB live, 725.2MiB allocated; 1.0s collecting garbage

Samples

324.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-expm1: 65.0ms (46.7% of total)

ival-div: 63.0ms (45.2% of total)

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

ival-assert: 3.0ms (2.2% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

explain80.0ms (1.3%)

Memory

19.7MiB live, 113.7MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
131	-	3	(0.020684802134636856)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	0	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	128	3

Confusion

	Predicted +	Predicted -
+	128	3
-	0	125

Precision

1.0

Recall

0.9770992366412213

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	3	0
-	0	0	125

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31.7% of total)

ival-exp: 4.0ms (31.7% of total)

ival-expm1: 3.0ms (23.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess147.0ms (2.4%)

Memory

-18.0MiB live, 168.7MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	26	15
2	63	15
3	179	15
4	731	15
0	5	6
0	8	6
1	16	6
2	29	6
3	63	6
4	227	6
5	2001	6
6	5288	6
0	8804	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; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify110.0ms (1.8%)

Memory

15.3MiB live, 156.6MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
cost-diff	2	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	29	14
3	63	14
4	227	14
5	2001	14
6	5288	14
0	8804	10

Stop Event

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

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.00390625	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	29.6667136686573	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-div: 2.0ms (33.2% of total)

ival-exp: 2.0ms (33.2% of total)

ival-expm1: 2.0ms (33.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series39.0ms (0.6%)

Memory

-42.8MiB live, 3.0MiB allocated; 5ms collecting garbage

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
37.0ms	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))

simplify164.0ms (2.7%)

Memory

28.3MiB live, 218.8MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	99
1	104	99
2	331	99
3	1068	99
4	2701	99
5	5943	99
0	8170	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)

rewrite237.0ms (3.9%)

Memory

-13.4MiB live, 186.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	33	12
2	199	12
3	1982	12
0	8709	8

Stop Event

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

Counts

3 → 279

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

eval47.0ms (0.8%)

Memory: 7.0MiB live, 50.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 749 to 1 123 computations (83.4% saved)

prune29.0ms (0.5%)

Memory

-23.6MiB live, 34.6MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	286	6	292
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	6	293

Accuracy

100.0%

Counts

293 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)
	69.0%	(/.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)
▶	66.8%	#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)))
▶	63.3%	#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)))
▶	52.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	51.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 146 to 114 computations (21.9% saved)

simplify134.0ms (2.2%)

Memory

11.9MiB live, 103.6MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#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)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(/.f64 (expm1.f64 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	98
0	33	98
1	53	98
2	117	98
3	305	98
4	907	98
5	2926	98
6	7002	98
0	8692	98

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (1.2%)

Memory

25.9MiB live, 72.2MiB allocated; 2ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.03125	(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	0.0625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.203125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	21.256236397801892	#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	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.19140625	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	23.481266255481874	#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	30.713774765485947	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
accuracy	30.788396181624684	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0.0	(expm1.f64 x)
accuracy	0.00390625	(/.f64 (expm1.f64 x) x)

Samples

59.0ms

256×

valid

Compiler

Compiled 96 to 21 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-expm1: 22.0ms (46.7% of total)

ival-mult: 9.0ms (19.1% of total)

ival-add: 7.0ms (14.9% of total)

const: 6.0ms (12.7% of total)

ival-div: 2.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.7%)

Memory

-30.6MiB live, 20.8MiB allocated; 10ms collecting garbage

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

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))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
1/6
(+ 1/6 (* 1/24 x))
(/ (- (exp x) 1) x)
(- (exp x) 1)
(* 1/2 x)
(* x (+ 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)))))
(* 1/6 x)
(* x (+ 1/6 (* 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))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 x)
(* x (+ 1/24 (* 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
38.0ms	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) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6))
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) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6))
1.0ms	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) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6))

Time

Variable

Point

Expression

38.0ms

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

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

1.0ms

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

simplify137.0ms (2.3%)

Memory

6.0MiB live, 98.5MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	241
1	253	235
2	815	230
3	3216	229
0	8734	194

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

rewrite183.0ms (3%)

Memory

4.4MiB live, 144.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
0	33	84
1	138	84
2	1002	84
0	8250	84

Stop Event

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

Counts

12 → 306

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

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

eval54.0ms (0.9%)

Memory: 1.9MiB live, 46.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 348 to 1 354 computations (88.1% saved)

prune20.0ms (0.3%)

Memory

-14.7MiB live, 30.7MiB allocated; 3ms collecting garbage

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	322	9	331
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	322	15	337

Accuracy

100.0%

Counts

337 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	69.0%	(/.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)
✓	66.8%	#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)))
	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
✓	63.3%	#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)))
▶	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
▶	65.9%	#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)))
✓	52.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	18.0%	#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)))
	17.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))))
	18.3%	#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)))
▶	14.7%	#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)))
	15.0%	#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)))
✓	51.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 510 to 381 computations (25.3% saved)

simplify147.0ms (2.4%)

Memory

23.4MiB live, 211.3MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
cost-diff	2	(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/24 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
cost-diff	0	#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)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(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))
cost-diff	0	(*.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)
cost-diff	0	#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))
cost-diff	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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	265
0	57	263
1	92	261
2	201	261
3	550	261
4	1794	261
5	6139	261
0	8051	247

Stop Event

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

Calls

Call 1

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

localize90.0ms (1.5%)

Memory

-20.4MiB live, 174.9MiB allocated; 22ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
accuracy	0.203125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.234375	(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
accuracy	21.256236397801892	#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
accuracy	0.03125	(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))
accuracy	0.21875	(.f64 (.f64 x x) #s(literal 1/24 binary64))
accuracy	21.256236397801892	#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)))
accuracy	31.628219268528404	#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
accuracy	0.0625	(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
accuracy	0.19140625	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	23.481266255481874	#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)))
accuracy	31.588243269556884	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	30.713774765485947	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	31.813256691053056	#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.046875	(*.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	0.0625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.203125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	19.9165834926469	#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))

Samples

59.0ms

256×

valid

Compiler

Compiled 187 to 26 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 15.0ms (35.4% of total)

ival-expm1: 10.0ms (23.6% of total)

ival-add: 9.0ms (21.3% of total)

const: 6.0ms (14.2% of total)

ival-div: 2.0ms (4.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

20 → 40

Calls

Call 1

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

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify172.0ms (2.9%)

Memory

18.5MiB live, 208.0MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	322
1	309	308
2	993	304
3	3836	304
0	8342	266

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

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

rewrite280.0ms (4.6%)

Memory

-7.1MiB live, 243.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	236
0	57	234
1	202	232
2	1437	232
0	8708	218

Stop Event

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

Counts

20 → 425

Calls

Call 1

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

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

eval83.0ms (1.4%)

Memory: 3.4MiB live, 91.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 17 146 to 2 024 computations (88.2% saved)

prune32.0ms (0.5%)

Memory

1.2MiB live, 46.7MiB allocated; 3ms collecting garbage

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	384	4	388
Fresh	0	5	5
Picked	0	5	5
Done	0	5	5
Total	384	19	403

Accuracy

100.0%

Counts

403 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	69.0%	(/.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)
▶	69.0%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) x)
▶	20.4%	(/.f64 #s(approx (- (exp x) 1) (.f64 #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)) x)) x)
✓	66.8%	#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)))
	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
✓	63.3%	#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)))
▶	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
✓	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
✓	65.9%	#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)))
✓	52.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	18.0%	#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)))
	17.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))))
	18.3%	#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)))
✓	14.7%	#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)))
▶	15.0%	#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)))
✓	51.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 624 to 463 computations (25.8% saved)

simplify181.0ms (3%)

Memory

-6.9MiB live, 86.0MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (*.f64 x x)) #s(literal 1/36 binary64)) x)
cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
cost-diff	2	(fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
cost-diff	0	#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))
cost-diff	0	(.f64 #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)) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 #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)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (.f64 #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)) x)) x)
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
cost-diff	0	#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))
cost-diff	0	#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)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)) x)
cost-diff	2	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	428
0	71	428
1	118	424
2	276	424
3	888	424
4	2761	424
5	6844	424
0	8366	392

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.7%)

Memory

24.1MiB live, 71.2MiB allocated; 2ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37109375	(*.f64 #s(literal 1/24 binary64) x)
accuracy	0.4483005092265462	(.f64 #s(literal 1/576 binary64) (.f64 x x))
accuracy	4.829134311278838	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
accuracy	21.256236397801892	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
accuracy	0.203125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.234375	(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
accuracy	19.9165834926469	#s(approx (- (exp x) 1) (.f64 #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)) x))
accuracy	31.38797225090214	#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	0.0625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.203125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	21.256236397801892	#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)))
accuracy	31.549180704796036	#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))
accuracy	0.0	(*.f64 x x)
accuracy	0.21875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	23.481266255481874	#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	31.617779527680014	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.046875	(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x)
accuracy	0.07421875	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
accuracy	0.203125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	19.9165834926469	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))

Samples

80.0ms

256×

valid

Compiler

Compiled 285 to 37 computations (87% saved)

Precisions

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

ival-mult: 32.0ms (52.8% of total)

const: 12.0ms (19.8% of total)

ival-add: 9.0ms (14.8% of total)

ival-div: 4.0ms (6.6% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory

-38.1MiB live, 8.6MiB allocated; 3ms collecting garbage

Counts

24 → 46

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

23.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify152.0ms (2.5%)

Memory

17.4MiB live, 68.2MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	367
1	324	355
2	1045	353
3	4146	353
0	8118	316

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

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)))))))
(* 1/6 (pow x 2))
(pow x 2)
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* -1/36 x)
(* x (- (* 1/576 (pow x 2)) 1/36))
1/6
(+ 1/6 (* 1/24 x))
(* 1/576 (pow x 2))
(* 1/24 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))))))
(/ (- (exp x) 1) x)
(- (exp x) 1)
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 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 3))
(* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* x (+ 1/24 (* 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)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* -1 (* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576)))

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

rewrite254.0ms (4.2%)

Memory

-9.3MiB live, 131.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	365
0	71	347
1	250	332
2	1885	332
0	8609	302

Stop Event

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

Counts

24 → 687

Calls

Call 1

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

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

eval117.0ms (1.9%)

Memory: 32.6MiB live, 128.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 27 211 to 3 227 computations (88.1% saved)

prune42.0ms (0.7%)

Memory

-22.3MiB live, 68.4MiB allocated; 7ms collecting garbage

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	604	9	613
Fresh	2	2	4
Picked	2	3	5
Done	1	9	10
Total	609	23	632

Accuracy

100.0%

Counts

632 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	69.0%	(/.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)
✓	20.4%	(/.f64 #s(approx (- (exp x) 1) (.f64 #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)) x)) x)
✓	66.8%	#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)))
	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
✓	63.3%	#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)))
	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) x) x) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
	51.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(approx (* (- (* 1/576 (* x x)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
✓	66.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
✓	52.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	18.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) x))))
	18.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (/.f64 x (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) x))))
✓	18.0%	#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)))
	18.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x)))
	18.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 (/.f64 x (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) x)))
	18.3%	#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)))
	17.8%	#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) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
✓	14.7%	#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)))
✓	15.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
	15.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	51.9%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 260 to 553 computations (56.1% saved)

regimes48.0ms (0.8%)

Memory

-21.9MiB live, 35.2MiB allocated; 55ms collecting garbage

Counts

29 → 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 #s(literal 1/6 binary64) x) x)))
#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 (+ (* (+ (* 1/6 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) 1/2) (.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 (.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)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 #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)) 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) (fma.f64 (/.f64 #s(approx (* (- (* 1/576 (* x x)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #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 (fma.f64 (/.f64 x (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) #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 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #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) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (/.f64 x (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) x) x) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

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

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes14.0ms (0.2%)

Memory

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

Counts

27 → 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 #s(literal 1/6 binary64) x) x)))
#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 (+ (* (+ (* 1/6 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) 1/2) (.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 (.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)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 #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)) 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) (fma.f64 (/.f64 #s(approx (* (- (* 1/576 (* x x)) 1/36) x) (.f64 #s(literal -1/36 binary64) x)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #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 (fma.f64 (/.f64 x (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) #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 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #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) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (/.f64 x (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) x) x) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) x (fma.f64 #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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))))

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

Calls

2 calls:

7.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
69.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

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

2 calls:

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

Results

Accuracy	Segments	Branch
69.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
69.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes15.0ms (0.3%)

Memory

-29.1MiB live, 20.0MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

2 calls:

11.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
69.2%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
66.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
66.8%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

-30.4MiB live, 16.7MiB allocated; 1ms collecting garbage

Counts

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

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

Results

Accuracy	Segments	Branch
66.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
66.8%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

11 → 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 #s(literal 1/6 binary64) x) x)))
#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 (+ (* (+ (* 1/6 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) 1/2) (.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 (.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:

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

Results

Accuracy	Segments	Branch
65.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
65.9%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

9 → 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 #s(literal 1/6 binary64) x) x)))
#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 (+ (* (+ (* 1/6 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) 1/2) (.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 (.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 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
67.0%	2	`x`
67.0%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

8 → 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 #s(literal 1/6 binary64) x) x)))
#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 (+ (* (+ (* 1/6 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) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) 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) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
67.0%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
67.0%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

-34.7MiB live, 12.0MiB allocated; 2ms collecting garbage

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 #s(literal 1/6 binary64) x) x)))
#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 (+ (* (+ (* 1/6 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	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
63.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
63.3%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

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 #s(literal 1/6 binary64) x) x)))
#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 (+ (* (+ (* 1/6 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
63.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
63.1%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

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

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 #s(literal 1/6 binary64) x) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
63.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
63.1%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
52.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
52.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Accuracy

Total -31.2b remaining (-101.3%)

Threshold costs -31.2b (-101.3%)

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:

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

Results

Accuracy	Segments	Branch
51.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
51.9%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch15.0ms (0.2%)

Memory

-25.7MiB live, 22.8MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.020684802134636856	4599.360785786617

Samples

8.0ms

144×

valid

Compiler

Compiled 414 to 322 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-expm1: 4.0ms (78.3% of total)

ival-div: 1.0ms (19.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.073248091912922	+inf

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch7.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.020684802134636856	4599.360785786617

Samples

3.0ms

80×

valid

Compiler

Compiled 477 to 313 computations (34.4% saved)

Precisions

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

ival-div: 1.0ms (69.2% of total)

ival-expm1: 1.0ms (69.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.020684802134636856	4599.360785786617

Samples

3.0ms

96×

valid

Compiler

Compiled 288 to 241 computations (16.3% saved)

Precisions

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

ival-div: 1.0ms (58.1% of total)

ival-expm1: 1.0ms (58.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

-30.7MiB live, 15.7MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.020684802134636856	4599.360785786617

Samples

2.0ms

64×

valid

Compiler

Compiled 279 to 232 computations (16.8% saved)

Precisions

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

ival-expm1: 1.0ms (86.4% of total)

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

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

adjust: 0.0ms (0% of total)

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

simplify62.0ms (1%)

Memory

24.2MiB live, 68.7MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	364
1	100	364
2	161	364
3	364	364
4	977	364
5	3036	364
6	7229	364

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #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)
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 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))) (/.f64 #s(approx (- (exp x) 1) (.f64 #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)) x)) x))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #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)))
#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 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 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 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))))
(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) 1/2) (.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 2758454771764429/1125899906842624 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 #s(literal 1/6 binary64) x) 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(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 #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)
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 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))) (/.f64 #s(approx (- (exp x) 1) (.f64 #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)) x)) x))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x (fma.f64 #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)))
#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 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 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 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))))
(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) 1/2) (.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 2758454771764429/1125899906842624 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 #s(literal 1/6 binary64) x) 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(literal 1 binary64))

derivations1.4s (23%)

Memory

31.8MiB live, 1 404.2MiB allocated; 153ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	367
1	324	355
2	1045	353
3	4146	353
0	8118	316
0	20	84
0	33	84
1	138	84
2	1002	84
0	8250	84
0	80	322
1	309	308
2	993	304
3	3836	304
0	8342	266
0	67	241
1	253	235
2	815	230
3	3216	229
0	8734	194
0	5	12
0	8	12
1	33	12
2	199	12
3	1982	12
0	8709	8
0	48	365
0	71	347
1	250	332
2	1885	332
0	8609	302
0	26	99
1	104	99
2	331	99
3	1068	99
4	2701	99
5	5943	99
0	8170	78
0	40	236
0	57	234
1	202	232
2	1437	232
0	8708	218

Stop Event

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

Compiler

Compiled 364 to 83 computations (77.2% saved)

preprocess86.0ms (1.4%)

Memory: -27.4MiB live, 157.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 784 to 200 computations (74.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.1s (18.4%)

explain80.0ms (1.3%)

preprocess147.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify110.0ms (1.8%)

localize16.0ms (0.3%)

series39.0ms (0.6%)

simplify164.0ms (2.7%)

rewrite237.0ms (3.9%)

eval47.0ms (0.8%)

prune29.0ms (0.5%)

simplify134.0ms (2.2%)

localize70.0ms (1.2%)

series41.0ms (0.7%)

simplify137.0ms (2.3%)

rewrite183.0ms (3%)

eval54.0ms (0.9%)

prune20.0ms (0.3%)

simplify147.0ms (2.4%)

localize90.0ms (1.5%)

series6.0ms (0.1%)

simplify172.0ms (2.9%)

rewrite280.0ms (4.6%)

eval83.0ms (1.4%)

prune32.0ms (0.5%)

simplify181.0ms (3%)

localize104.0ms (1.7%)

series30.0ms (0.5%)

simplify152.0ms (2.5%)

rewrite254.0ms (4.2%)

eval117.0ms (1.9%)

prune42.0ms (0.7%)

regimes48.0ms (0.8%)

regimes14.0ms (0.2%)

regimes10.0ms (0.2%)

regimes15.0ms (0.3%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

bsearch15.0ms (0.2%)

bsearch0.0ms (0%)

bsearch7.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch8.0ms (0.1%)

simplify62.0ms (1%)

derivations1.4s (23%)

preprocess86.0ms (1.4%)

end0.0ms (0%)

Profiling