Metrics for expq2 (section 3.11)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
50%	37.6%	37.6%	24.8%	0%	0%	0%	2
75%	56.4%	18.8%	24.8%	0%	0%	0%	3
87.5%	65.8%	9.4%	24.8%	0%	0%	0%	4
93.8%	70.5%	4.7%	24.8%	0%	0%	0%	5
96.9%	72.8%	2.3%	24.8%	0%	0%	0%	6
98.4%	74%	1.2%	24.8%	0%	0%	0%	7
99.2%	74.6%	0.6%	24.8%	0%	0%	0%	8
99.6%	74.9%	0.3%	24.8%	0%	0%	0%	9
99.8%	75%	0.1%	24.8%	0%	0%	0%	10
99.9%	75.1%	0.1%	24.8%	0%	0%	0%	11
100%	75.1%	0%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.0s (15.5%)

Memory

-100.3MiB live, 576.9MiB allocated

Samples

674.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival->: 70.0ms (26.2% of total)

ival-div: 67.0ms (25.1% of total)

ival-exp: 61.0ms (22.8% of total)

ival-expm1: 60.0ms (22.4% of total)

exact: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain100.0ms (1.5%)

Memory

11.3MiB live, 84.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	157	0

Confusion

	Predicted +	Predicted -
+	157	0
-	0	99

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	157	0	0
-	0	0	99

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	99
1	157

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

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

ival-div: 4.0ms (34.7% of total)

ival-exp: 4.0ms (34.7% of total)

ival-expm1: 3.0ms (26% of total)

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

exact: 0.0ms (0% of total)

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

preprocess24.0ms (0.4%)

Memory

-4.4MiB live, 33.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	253	12
6	355	12
7	458	12
8	590	12
9	632	12
10	660	12
11	710	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
cost-diff	192	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	14	15
0	14	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

-31.3MiB live, 15.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01953125	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy	36.19246754137837	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

17.0ms

256×

valid

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

ival-div: 2.0ms (34.9% of total)

ival-exp: 2.0ms (34.9% of total)

ival-expm1: 2.0ms (34.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

3 → 15

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(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 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(exp x)

Calls

3 calls:

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

simplify171.0ms (2.6%)

Memory

6.9MiB live, 117.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	111
1	122	111
2	258	111
3	574	111
4	829	111
5	972	111
6	994	111
7	1088	105
8	1506	105
9	1981	105
10	3369	105
11	4930	105
12	5216	105
13	5581	105
14	6130	105
15	6870	105
0	10260	87

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

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 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
1
#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) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)

rewrite168.0ms (2.6%)

Memory

22.0MiB live, 140.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	33	13
2	188	13
3	1809	13
0	8818	9

Stop Event

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

Counts

3 → 351

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (expm1.f64 x))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 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 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x))
(.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (expm1.f64 x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (expm1.f64 x) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (exp.f64 x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) (.f64 (neg.f64 (expm1.f64 x)) (exp.f64 x))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x)))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))) (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 x))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
(/.f64 (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (.f64 (/.f64 (exp.f64 x) (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) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 x)) (.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 4 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (exp.f64 x) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 x)) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 x) (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x)))))
(+.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x)))))
(+.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x)))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) (neg.f64 x)))
(exp.f64 (fma.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64) x))
(exp.f64 (+.f64 x (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 x)

eval66.0ms (1%)

Memory: -2.7MiB live, 79.2MiB allocated
Compiler: Compiled 9 463 to 1 223 computations (87.1% saved)

prune10.0ms (0.2%)

Memory

-9.3MiB live, 27.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	378	7	385
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	7	386

Accuracy

100.0%

Counts

386 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 x)) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	63.0%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	63.0%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	62.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	62.9%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 186 to 134 computations (28% saved)

simplify10.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(expm1.f64 (neg.f64 x))
cost-diff	0	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	144
0	35	144
1	56	144
2	85	144
3	136	144
4	165	144
5	171	144
6	204	144
7	264	144
8	294	144
9	300	144
0	300	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/12 binary64)
x
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/12 binary64)
x
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize91.0ms (1.4%)

Memory

-5.7MiB live, 67.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.05078125	(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy	0.05859375	(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
accuracy	23.690434701554093	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0703125	(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy	23.702887798143628	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	23.743606553141273	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	23.75033817981522	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
accuracy	0.00390625	(expm1.f64 (neg.f64 x))

Samples

72.0ms

256×

valid

Compiler

Compiled 265 to 46 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 34.0ms (59.2% of total)

ival-mult: 6.0ms (10.4% of total)

const: 6.0ms (10.4% of total)

ival-div: 5.0ms (8.7% of total)

ival-expm1: 3.0ms (5.2% of total)

ival-exp: 2.0ms (3.5% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

13 → 31

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)

Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(pow x 2)
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(/ (exp x) (- (exp x) 1))
1/2
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x))
2.0ms	x	@	-inf	((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x))
1.0ms	x	@	0	((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x))

Time

Variable

Point

Expression

2.0ms

inf

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x))

2.0ms

-inf

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x))

1.0ms

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x))

simplify103.0ms (1.6%)

Memory

-12.9MiB live, 107.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	278
1	250	277
2	705	267
3	2120	254
4	6452	237
0	8297	202

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(pow x 2)
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(/ (exp x) (- (exp x) 1))
1/2
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/12 binary64)))) x)

rewrite205.0ms (3.2%)

Memory

20.2MiB live, 177.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	109
0	35	109
1	150	109
2	1132	101
0	8297	101

Stop Event

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

Counts

13 → 437

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)

Outputs
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(neg.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 x) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (expm1.f64 (neg.f64 x)))
(.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))
(.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))))
(.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))
(*.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) (.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) (expm1.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal -1/8640 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal -1/8640 binary64))))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
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(fma.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 #s(literal -1/720 binary64) x) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x x))
(+.f64 (.f64 (neg.f64 x) #s(literal 0 binary64)) (.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval252.0ms (3.9%)

Memory: -5.5MiB live, 81.8MiB allocated
Compiler: Compiled 17 573 to 1 892 computations (89.2% saved)

prune91.0ms (1.4%)

Memory

-6.3MiB live, 31.7MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	566	10	576
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	569	14	583

Accuracy

100.0%

Counts

583 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.5%	(/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	90.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
▶	85.9%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
▶	82.0%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
✓	63.0%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
✓	62.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	63.0%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	62.9%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
	35.7%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/12 binary64)))) x)))
	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
▶	3.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
	62.9%	#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Compiler

Compiled 430 to 322 computations (25.1% saved)

simplify293.0ms (4.5%)

Memory

14.8MiB live, 52.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
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	(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
cost-diff	0	#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 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	(*.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 (neg 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(literal -1 binary64) #s(approx (- (exp (neg 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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	232
0	54	232
1	80	232
2	128	232
3	264	232
4	512	232
5	1032	232
6	2122	232
7	3272	232
8	4143	232
9	4260	232
10	4294	232
11	4310	232
12	4506	232
13	4599	232
14	4619	232
15	4658	232
16	4686	232
17	4720	232
18	4748	232
19	4757	232
20	4772	232
21	4784	232
22	4784	232
23	4813	232
24	4825	232
25	4826	232
0	4826	216

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg 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(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(literal 1/12 binary64)
x
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
x
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg 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(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(literal 1/12 binary64)
x
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
x
#s(literal 1/2 binary64)

localize117.0ms (1.8%)

Memory

-10.2MiB live, 69.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
accuracy	0.03515625	(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
accuracy	0.0703125	(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
accuracy	8.895851335565396	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
accuracy	0.00390625	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
accuracy	11.348789847355139	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
accuracy	0.0703125	(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
accuracy	23.60505092245085	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
accuracy	38.83455116759625	#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
accuracy	23.587638935125785	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
accuracy	38.83455116759625	#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
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	0.03125	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.08203125	(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
accuracy	6.08185964799734	#s(approx (- (exp (neg 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

90.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 398 to 69 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 15.0ms (30% of total)

ival-div: 11.0ms (22% of total)

const: 9.0ms (18% of total)

ival-add: 9.0ms (18% of total)

ival-expm1: 3.0ms (6% of total)

ival-exp: 2.0ms (4% of total)

ival-neg: 1.0ms (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)

series8.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

19 → 64

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg 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) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))

Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
-1/6
(- (* 1/24 x) 1/6)
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg 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)))))
(/ (exp x) (- (exp x) 1))
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg 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) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (+ (* -1/6 x) 1/2))

2.0ms

-inf

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg 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) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (+ (* -1/6 x) 1/2))

1.0ms

((/ -1 (- (exp (neg x)) 1)) (- (exp (neg 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) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (+ (* -1/6 x) 1/2))

simplify208.0ms (3.2%)

Memory

11.6MiB live, 85.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	519
1	399	506
2	1205	492
3	3684	485
4	7943	485
0	8001	416

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
-1/6
(- (* 1/24 x) 1/6)
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg 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)))))
(/ (exp x) (- (exp x) 1))
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
1/2
#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 (- (* 1/24 x) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.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 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) 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 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 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) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+ 1/2 (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 (fma.f64 #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 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* -1/6 (pow x 2))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 #s(literal 1/24 binary64) x) x)
(* (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))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(neg.f64 (fma.f64 #s(literal -1/12 binary64) x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))

rewrite168.0ms (2.6%)

Memory

4.7MiB live, 197.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	209
0	54	209
1	226	209
2	1582	209
0	8409	193

Stop Event

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

Counts

19 → 441

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg 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) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))

Outputs
(.f64 (pow.f64 #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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 #s(literal -1 binary64) (pow.f64 #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (exp (neg 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 #s(literal -1 binary64) #s(approx (- (exp (neg 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 (pow.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) #s(literal -1 binary64)))
(.f64 #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))))
#s(approx (- (exp (neg 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))
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(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.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))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal -1/12 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))

eval79.0ms (1.2%)

Memory: -28.4MiB live, 131.3MiB allocated
Compiler: Compiled 14 915 to 2 291 computations (84.6% saved)

prune34.0ms (0.5%)

Memory

2.8MiB live, 48.4MiB allocated

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	474	13	487
Fresh	1	4	5
Picked	1	4	5
Done	0	4	4
Total	476	25	501

Accuracy

100.0%

Counts

501 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.5%	(/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	39.6%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.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 x 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) (neg.f64 x)))))
	43.0%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (neg.f64 x)))))
	90.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))))
	90.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
▶	90.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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)))
✓	85.9%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
▶	90.3%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
	89.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
✓	82.0%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
▶	30.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
	32.4%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))
	26.2%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
▶	28.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
	22.6%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
✓	63.0%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
✓	62.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	63.0%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	62.9%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
▶	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
✓	3.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
	63.0%	#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
	62.9%	#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Compiler

Compiled 1 004 to 716 computations (28.7% saved)

simplify113.0ms (1.7%)

Memory

27.0MiB live, 100.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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	128	(neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
cost-diff	128	(neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
cost-diff	320	(.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
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	(.f64 #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)) x)
cost-diff	0	#s(approx (- (exp (neg x)) 1) (.f64 #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)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
cost-diff	0	#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)
cost-diff	0	#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
cost-diff	0	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	549
0	95	525
1	160	512
2	334	500
3	1090	500
4	3005	500
5	5029	500
6	7160	500
0	8167	470

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
#s(literal 1 binary64)
(/.f64 #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 (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(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))
(.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 #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)) x))
(.f64 #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)) 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))) x #s(literal 1/2 binary64))
(.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
(neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
#s(literal 1/576 binary64)
(*.f64 x x)
x
#s(literal -1/36 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
#s(literal 1 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))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg 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 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) 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 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) 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 #s(literal 1 binary64) (/.f64 #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 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #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 (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(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))
(.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 #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)) x))
(.f64 #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)) 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 #s(literal -1/576 binary64) (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)))
(neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
(fma.f64 #s(literal -1/576 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
#s(literal 1/576 binary64)
(*.f64 x x)
x
#s(literal -1/36 binary64)
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)))
#s(literal 1 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 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

localize152.0ms (2.4%)

Memory

-0.5MiB live, 194.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
accuracy	6.189851912736247	#s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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	11.711359205179614	(.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
accuracy	0.04296875	(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
accuracy	6.189851912736247	#s(approx (- (exp (neg x)) 1) (.f64 #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)) x))
accuracy	38.9075345046431	#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	0.12109375	(.f64 (.f64 #s(literal -1/6 binary64) x) x)
accuracy	0.296875	(*.f64 #s(literal -1/6 binary64) x)
accuracy	9.030433730111099	#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))
accuracy	38.72368140798277	#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
accuracy	0.296875	(*.f64 #s(literal 1/12 binary64) x)
accuracy	23.702887798143628	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
accuracy	38.91399535889768	#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
accuracy	0.07421875	(/.f64 #s(literal 1 binary64) (/.f64 #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))))
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
accuracy	0.18746849760612433	(/.f64 #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)))
accuracy	6.189851912736247	#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x))

Samples

118.0ms

256×

valid

Compiler

Compiled 932 to 123 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 24.0ms (28.6% of total)

ival-add: 22.0ms (26.2% of total)

const: 19.0ms (22.6% of total)

ival-div: 10.0ms (11.9% of total)

ival-expm1: 3.0ms (3.6% of total)

ival-neg: 3.0ms (3.6% of total)

ival-exp: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

27 → 90

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))
(.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(approx (- (exp (neg x)) 1) (.f64 #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)) x))
(.f64 #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)) 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 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
(neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
(neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 #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))
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) 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(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))

Outputs
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/12 x)
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
-1/6
(- (* 1/24 x) 1/6)
1/36
(+ 1/36 (* -1/576 (pow x 2)))
(- (* -1/24 x) 1/6)
2
(+ 2 (* 2/3 x))
(+ 2 (* x (+ 2/3 (* 1/18 x))))
(+ 2 (* x (+ 2/3 (* x (+ 1/18 (* -1/27 x))))))
(* -1/6 x)
(* -1/6 (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6))))
-6
(- (* 3/2 x) 6)
(- (* x (+ 3/2 (* -3/8 x))) 6)
(- (* x (+ 3/2 (* x (- (* 3/32 x) 3/8)))) 6)
-1/36
(- (* 1/576 (pow x 2)) 1/36)
(* 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 (- (exp (neg x)) 1))
(- (exp (neg 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)))))
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* 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 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* -1/24 x)
(* -1 (* x (+ 1/24 (* 1/6 (/ 1 x)))))
(/ 24 (pow x 2))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 2))
(/ (- (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (* 768 (/ 1 (pow x 3)))) (pow x 2))
(/ -24 x)
(/ (- (* 96 (/ 1 x)) 24) x)
(/ (- (* 96 (/ 1 x)) (+ 24 (/ 384 (pow x 2)))) x)
(/ (- (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3)))) (+ 24 (/ 384 (pow x 2)))) x)
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(/ (+ 24 (* -1 (/ (- (* -1 (/ (- 96 (* 768 (/ 1 x))) x)) 96) x))) (pow x 2))
(* -1 (/ (- 24 (* 96 (/ 1 x))) x))
(* -1 (/ (+ 24 (* -1 (/ (- 96 (* 384 (/ 1 x))) x))) x))
(* -1 (/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (- 384 (* 1536 (/ 1 x))) x))) x))) x))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ 1 (/ 1 (+ (* (+ (* 1/24 x) -1/6) x) 1/2))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) -1/6) x) 1/2))) x) -1) x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (* (neg (+ (* 1/576 (* x x)) -1/36)) (/ 1 (neg (+ (* 1/24 x) 1/6)))) (neg (+ (* 1/576 (* x x)) -1/36)) (neg (+ (* 1/24 x) 1/6)) (/ -1 (- (exp (neg x)) 1)) (/ 1 (+ (* (+ (* 1/24 x) -1/6) x) 1/2)) (+ (* 1/24 x) -1/6) (* -1/6 x) (* (* -1/6 x) x) (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (- (exp (neg x)) 1) (/ 1 (neg (+ (* 1/24 x) 1/6))) (+ (* 1/576 (* x x)) -1/36))

3.0ms

-inf

((/ 1 (/ 1 (+ (* (+ (* 1/24 x) -1/6) x) 1/2))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) -1/6) x) 1/2))) x) -1) x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (* (neg (+ (* 1/576 (* x x)) -1/36)) (/ 1 (neg (+ (* 1/24 x) 1/6)))) (neg (+ (* 1/576 (* x x)) -1/36)) (neg (+ (* 1/24 x) 1/6)) (/ -1 (- (exp (neg x)) 1)) (/ 1 (+ (* (+ (* 1/24 x) -1/6) x) 1/2)) (+ (* 1/24 x) -1/6) (* -1/6 x) (* (* -1/6 x) x) (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (- (exp (neg x)) 1) (/ 1 (neg (+ (* 1/24 x) 1/6))) (+ (* 1/576 (* x x)) -1/36))

2.0ms

((/ 1 (/ 1 (+ (* (+ (* 1/24 x) -1/6) x) 1/2))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/24 x) -1/6) x) 1/2))) x) -1) x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (* (neg (+ (* 1/576 (* x x)) -1/36)) (/ 1 (neg (+ (* 1/24 x) 1/6)))) (neg (+ (* 1/576 (* x x)) -1/36)) (neg (+ (* 1/24 x) 1/6)) (/ -1 (- (exp (neg x)) 1)) (/ 1 (+ (* (+ (* 1/24 x) -1/6) x) 1/2)) (+ (* 1/24 x) -1/6) (* -1/6 x) (* (* -1/6 x) x) (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (- (exp (neg x)) 1) (/ 1 (neg (+ (* 1/24 x) 1/6))) (+ (* 1/576 (* x x)) -1/36))

simplify122.0ms (1.9%)

Memory

-20.6MiB live, 94.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	767
1	687	746
2	1875	726
3	4960	713
0	8360	627

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 90

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/12 x)
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
-1/6
(- (* 1/24 x) 1/6)
1/36
(+ 1/36 (* -1/576 (pow x 2)))
(- (* -1/24 x) 1/6)
2
(+ 2 (* 2/3 x))
(+ 2 (* x (+ 2/3 (* 1/18 x))))
(+ 2 (* x (+ 2/3 (* x (+ 1/18 (* -1/27 x))))))
(* -1/6 x)
(* -1/6 (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6))))
-6
(- (* 3/2 x) 6)
(- (* x (+ 3/2 (* -3/8 x))) 6)
(- (* x (+ 3/2 (* x (- (* 3/32 x) 3/8)))) 6)
-1/36
(- (* 1/576 (pow x 2)) 1/36)
(* 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 (- (exp (neg x)) 1))
(- (exp (neg 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)))))
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* 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 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* -1/576 (pow x 2))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* -1/24 x)
(* -1 (* x (+ 1/24 (* 1/6 (/ 1 x)))))
(/ 24 (pow x 2))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 2))
(/ (- (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (* 768 (/ 1 (pow x 3)))) (pow x 2))
(/ -24 x)
(/ (- (* 96 (/ 1 x)) 24) x)
(/ (- (* 96 (/ 1 x)) (+ 24 (/ 384 (pow x 2)))) x)
(/ (- (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3)))) (+ 24 (/ 384 (pow x 2)))) x)
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(/ (+ 24 (* -1 (/ (- (* -1 (/ (- 96 (* 768 (/ 1 x))) x)) 96) x))) (pow x 2))
(* -1 (/ (- 24 (* 96 (/ 1 x))) x))
(* -1 (/ (+ 24 (* -1 (/ (- 96 (* 384 (/ 1 x))) x))) x))
(* -1 (/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (- 384 (* 1536 (/ 1 x))) x))) x))) x))

Outputs
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 (- (* 1/24 x) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -1/576 (pow x 2)))
(fma.f64 #s(literal -1/576 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(- (* -1/24 x) 1/6)
(fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2/3 x))
(fma.f64 #s(literal 2/3 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2/3 (* 1/18 x))))
(fma.f64 (fma.f64 #s(literal 1/18 binary64) x #s(literal 2/3 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 2/3 (* x (+ 1/18 (* -1/27 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/27 binary64) x #s(literal 1/18 binary64)) x #s(literal 2/3 binary64)) x #s(literal 2 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* 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 (- (* 1/24 x) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
-6
#s(literal -6 binary64)
(- (* 3/2 x) 6)
(fma.f64 #s(literal 3/2 binary64) x #s(literal -6 binary64))
(- (* x (+ 3/2 (* -3/8 x))) 6)
(fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64))
(- (* x (+ 3/2 (* x (- (* 3/32 x) 3/8)))) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64))
-1/36
#s(literal -1/36 binary64)
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 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 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.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 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #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)) (/ 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)))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 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 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* -1/576 (pow x 2))
(.f64 #s(literal -1/576 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(fma.f64 #s(literal -1/576 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1 (* x (+ 1/24 (* 1/6 (/ 1 x)))))
(fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (+ 24 (* 96 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) (*.f64 x x))
(/ (- (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2)))) (* 768 (/ 1 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 #s(literal 768 binary64) x)) x)) x)) (*.f64 x x))
(/ -24 x)
(/.f64 #s(literal -24 binary64) x)
(/ (- (* 96 (/ 1 x)) 24) x)
(/.f64 (-.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x)
(/ (- (* 96 (/ 1 x)) (+ 24 (/ 384 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 #s(literal 384 binary64) x)) x) #s(literal 24 binary64)) x)
(/ (- (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3)))) (+ 24 (/ 384 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 (-.f64 #s(literal 384 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x) #s(literal 24 binary64)) x)
(* 1/576 (pow x 2))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) 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 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x)
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(/ (+ 24 (* -1 (/ (- (* -1 (/ (- 96 (* 768 (/ 1 x))) x)) 96) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 #s(literal 768 binary64) x)) x)) x)) (*.f64 x x))
(* -1 (/ (- 24 (* 96 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x)
(* -1 (/ (+ 24 (* -1 (/ (- 96 (* 384 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 #s(literal 384 binary64) x)) x) #s(literal 24 binary64)) x)
(* -1 (/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (- 384 (* 1536 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 (-.f64 #s(literal 384 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x) #s(literal 24 binary64)) x)

rewrite180.0ms (2.8%)

Memory

15.3MiB live, 166.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	424
0	95	371
1	379	370
2	2634	370
0	9089	340

Stop Event

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

Counts

27 → 646

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #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))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
#s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))
(.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(approx (- (exp (neg x)) 1) (.f64 #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)) x))
(.f64 #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)) 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 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
(neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
(neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 #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))
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) 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(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))

Outputs
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))
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(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1/46656 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))
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eval112.0ms (1.7%)

Memory: 17.3MiB live, 139.7MiB allocated
Compiler: Compiled 22 276 to 4 157 computations (81.3% saved)

prune31.0ms (0.5%)

Memory

-15.5MiB live, 58.9MiB allocated

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	602	7	609
Fresh	6	6	12
Picked	2	3	5
Done	0	8	8
Total	610	24	634

Accuracy

100.0%

Counts

634 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.5%	(/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	95.8%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	95.4%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	94.7%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 #s(literal 3/2 binary64) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	93.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) #s(literal -6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
✓	85.9%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
	89.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
✓	82.0%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
✓	30.5%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
	32.4%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))
	22.6%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
	28.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
✓	28.1%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
	26.2%	(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
✓	63.0%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
✓	62.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	63.0%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
✓	62.9%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
✓	3.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
	63.0%	#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
	62.9%	#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Compiler

Compiled 1 481 to 679 computations (54.2% saved)

regimes34.0ms (0.5%)

Memory

-3.0MiB live, 40.6MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/12 binary64)))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) #s(literal -6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 #s(literal 3/2 binary64) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.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 x 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) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 x)) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))

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

Calls

3 calls:

17.0ms	x
7.0ms	(exp.f64 x)
7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes26.0ms (0.4%)

Memory

-4.5MiB live, 34.2MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/12 binary64)))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) #s(literal -6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 #s(literal 3/2 binary64) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.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 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.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 x 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) (neg.f64 x)))))

Outputs

(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ (* 1/24 x) 1/6))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))

Calls

3 calls:

11.0ms	x
7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
95.8%	1	`x`
95.8%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
95.8%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes21.0ms (0.3%)

Memory

29.2MiB live, 29.2MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/12 binary64)))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) #s(literal -6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 #s(literal 3/2 binary64) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))

Outputs

(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ (* 1/24 x) 1/6))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.4%	1	`x`
95.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
95.4%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.3%)

Memory

-11.1MiB live, 27.7MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/12 binary64)))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) #s(literal -6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 #s(literal 3/2 binary64) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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)))) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))

Outputs

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

Calls

3 calls:

8.0ms	x
6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
94.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
94.7%	1	`(exp.f64 x)`
94.7%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes21.0ms (0.3%)

Memory

-14.6MiB live, 23.5MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/12 binary64)))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) #s(literal -6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))))

Outputs

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

Calls

3 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
7.0ms	x
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
93.1%	1	`x`
93.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
93.1%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes17.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/12 binary64)))) x)))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
90.3%	1	`x`
90.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
90.3%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes40.0ms (0.6%)

Memory

-24.7MiB live, 18.0MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #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)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

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

Calls

3 calls:

28.0ms	(exp.f64 x)
6.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
89.1%	1	`x`
89.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
89.1%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x)))

Outputs

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

#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
90.0%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
90.7%	2	`x`
90.7%	2	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.2%)

Memory

-14.5MiB live, 23.9MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
85.9%	1	`x`
85.9%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes12.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)) x)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.1%	2	`x`
85.4%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
86.1%	2	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.2%)

Memory

-27.6MiB live, 11.1MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x)))

Outputs

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

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

Calls

2 calls:

6.0ms	(exp.f64 x)
4.0ms	x

Results

Accuracy	Segments	Branch
86.1%	2	`x`
86.1%	2	`(exp.f64 x)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes10.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
82.0%	1	`(exp.f64 x)`
82.0%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))) x)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.5%	2	`x`
81.8%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
82.5%	2	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-27.7MiB live, 10.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
63.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
63.0%	1	`x`
63.0%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.9%	1	`x`
62.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
62.9%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
62.9%	1	`x`
62.9%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`(exp.f64 x)`
3.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.999995975496812

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.999995975496812

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch19.0ms (0.3%)

Memory

-22.8MiB live, 18.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-121582643.3472338	-4.02451128635969e-6

Samples

7.0ms

160×

valid

Compiler

Compiled 420 to 348 computations (17.1% saved)

Precisions

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

ival-exp: 2.0ms (44.7% of total)

ival-div: 1.0ms (22.4% of total)

ival-expm1: 1.0ms (22.4% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.999995975496812

Compiler

Compiled 9 to 9 computations (0% saved)

simplify150.0ms (2.3%)

Memory

-1.6MiB live, 35.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	485
1	189	485
2	276	481
3	450	481
4	712	481
5	1012	481
6	1966	481
7	3635	481
8	4870	481
9	5265	481
10	5391	481
11	5411	481
12	5605	481
13	5683	481
14	5683	481
15	5683	481

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 #s(literal 3/2 binary64) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) #s(literal -6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x))))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) (fma.f64 #s(literal 3/2 binary64) x #s(literal -6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) #s(approx (/ 1 (neg (+ ( 1/24 x) 1/6))) #s(literal -6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) -1/6) x) 1/2) (.f64 (.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 x x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x))))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( (+ (* -1/6 x) 1/2) x) -1) (.f64 (.f64 #s(literal -1/6 binary64) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (.f64 #s(approx (+ ( 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))

soundness2.0s (30.3%)

Memory

56.1MiB live, 1 032.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	278
1	250	277
2	705	267
3	2120	254
4	6452	237
0	8297	202
0	22	109
0	35	109
1	150	109
2	1132	101
0	8297	101
0	44	111
1	122	111
2	258	111
3	574	111
4	829	111
5	972	111
6	994	111
7	1088	105
8	1506	105
9	1981	105
10	3369	105
11	4930	105
12	5216	105
13	5581	105
14	6130	105
15	6870	105
0	10260	87
0	144	519
1	399	506
2	1205	492
3	3684	485
4	7943	485
0	8001	416
0	34	209
0	54	209
1	226	209
2	1582	209
0	8409	193
0	245	767
1	687	746
2	1875	726
3	4960	713
0	8360	627
0	5	13
0	8	13
1	33	13
2	188	13
3	1809	13
0	8818	9

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

Compiler

Compiled 979 to 531 computations (45.8% saved)

preprocess106.0ms (1.6%)

Memory: -23.8MiB live, 129.5MiB allocated
Compiler: Compiled 996 to 316 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	253	12
6	355	12
7	458	12
8	590	12
9	632	12
10	660	12
11	710	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Iter	Nodes	Cost
0	22	144
0	35	144
1	56	144
2	85	144
3	136	144
4	165	144
5	171	144
6	204	144
7	264	144
8	294	144
9	300	144
0	300	136

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	253	12
6	355	12
7	458	12
8	590	12
9	632	12
10	660	12
11	710	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Iter	Nodes	Cost
0	22	144
0	35	144
1	56	144
2	85	144
3	136	144
4	165	144
5	171	144
6	204	144
7	264	144
8	294	144
9	300	144
0	300	136

start0.0ms (0%)

analyze1.0ms (0%)

sample1.0s (15.5%)

explain100.0ms (1.5%)

preprocess24.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize22.0ms (0.3%)

series2.0ms (0%)

simplify171.0ms (2.6%)

rewrite168.0ms (2.6%)

eval66.0ms (1%)

prune10.0ms (0.2%)

simplify10.0ms (0.2%)

localize91.0ms (1.4%)

series7.0ms (0.1%)

simplify103.0ms (1.6%)

rewrite205.0ms (3.2%)

eval252.0ms (3.9%)

prune91.0ms (1.4%)

simplify293.0ms (4.5%)

localize117.0ms (1.8%)

series8.0ms (0.1%)

simplify208.0ms (3.2%)

rewrite168.0ms (2.6%)

eval79.0ms (1.2%)

prune34.0ms (0.5%)

simplify113.0ms (1.7%)

localize152.0ms (2.4%)

series10.0ms (0.2%)

simplify122.0ms (1.9%)

rewrite180.0ms (2.8%)

eval112.0ms (1.7%)

prune31.0ms (0.5%)

regimes34.0ms (0.5%)

regimes26.0ms (0.4%)

regimes21.0ms (0.3%)

regimes22.0ms (0.3%)

regimes21.0ms (0.3%)

regimes17.0ms (0.3%)

regimes40.0ms (0.6%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.3%)

bsearch0.0ms (0%)

simplify150.0ms (2.3%)

soundness2.0s (30.3%)

preprocess106.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
1	22	19
2	42	18
3	78	18
4	132	12
5	253	12
6	355	12
7	458	12
8	590	12
9	632	12
10	660	12
11	710	12
0	5	7
0	8	7
1	13	7
2	14	7
0	14	5

Iter	Nodes	Cost
0	22	144
0	35	144
1	56	144
2	85	144
3	136	144
4	165	144
5	171	144
6	204	144
7	264	144
8	294	144
9	300	144
0	300	136