Metrics for expq2 (section 3.11)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

sample772.0ms (12.6%)

Memory

-32.7MiB live, 824.9MiB allocated

Samples

417.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-exp: 82.0ms (32.5% of total)

ival-expm1: 78.0ms (30.9% of total)

ival-div: 56.0ms (22.2% of total)

ival->: 24.0ms (9.5% of total)

exact: 7.0ms (2.8% of total)

ival-assert: 4.0ms (1.6% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain65.0ms (1.1%)

Memory

28.8MiB live, 77.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
165	-	-	`(-.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	165	0

Confusion

	Predicted +	Predicted -
+	165	0
-	0	91

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	165	0	0
-	0	0	91

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	91
1	165

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

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

ival-div: 4.0ms (33.9% of total)

ival-exp: 4.0ms (33.9% of total)

ival-expm1: 3.0ms (25.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess188.0ms (3.1%)

Memory

-17.2MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	21	19
2	62	19
3	186	19
4	864	19
0	5	7
0	8	7
1	13	7
2	26	7
3	56	7
4	229	7
5	2069	7
6	6649	7
0	8741	5

Stop Event

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

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

0.7MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.6%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify118.0ms (1.9%)

Memory

16.1MiB live, 150.6MiB 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	2	(-.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	26	15
3	56	15
4	229	15
5	2069	15
6	6649	15
0	8741	11

Stop Event

1×	iter limit
1×	node limit
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)

localize31.0ms (0.5%)

Memory

-24.6MiB live, 30.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy	38.21789338819751	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

26.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-exp: 17.0ms (81.6% of total)

ival-div: 2.0ms (9.6% of total)

ival-expm1: 1.0ms (4.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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))
0.0ms	x	@	0	((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x))

simplify192.0ms (3.1%)

Memory

11.3MiB live, 99.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	111
1	166	111
2	530	105
3	1942	105
4	5239	105
0	8089	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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
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)

rewrite253.0ms (4.1%)

Memory

-2.1MiB live, 138.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	30	13
2	177	13
3	1809	13
0	9626	9

Stop Event

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

Counts

3 → 466

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

eval93.0ms (1.5%)

Memory: 25.7MiB live, 69.8MiB allocated
Compiler: Compiled 14 895 to 1 739 computations (88.3% saved)

prune23.0ms (0.4%)

Memory

-19.5MiB live, 27.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	564	8	572
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	565	8	573

Accuracy

100.0%

Counts

573 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
▶	100.0%	(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
▶	65.5%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
▶	65.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	65.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	65.4%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))

Compiler

Compiled 184 to 142 computations (22.8% saved)

simplify142.0ms (2.3%)

Memory

33.9MiB live, 84.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 x)
cost-diff	0	(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
cost-diff	0	(exp.f64 x)
cost-diff	2	(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
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	(exp.f64 (neg.f64 x))
cost-diff	1	(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
cost-diff	2	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	145
0	42	146
1	68	140
2	152	139
3	485	139
4	2389	139
0	9232	139

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(expm1.f64 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/720 binary64)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(exp.f64 x)
x
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
#s(literal -1 binary64)

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

localize85.0ms (1.4%)

Memory

-30.3MiB live, 60.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(expm1.f64 x)
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
accuracy	0.01171875	(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	0.06869125976844201	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
accuracy	0.12109375	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	22.097188967407178	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	0.12109375	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	22.044790947526735	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	22.02175955436905	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(expm1.f64 x)
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.00390625	(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))

Samples

66.0ms

256×

valid

Compiler

Compiled 142 to 25 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-add: 17.0ms (32.6% of total)

ival-pow: 9.0ms (17.3% of total)

const: 7.0ms (13.4% of total)

ival-mult: 6.0ms (11.5% of total)

ival-div: 5.0ms (9.6% of total)

ival-exp: 4.0ms (7.7% of total)

ival-expm1: 2.0ms (3.8% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

16 → 46

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(exp.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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(exp.f64 x)
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(expm1.f64 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)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/6 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/6 (* -1/24 x))) 1/2))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(pow x 3)
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(/ (+ 1 (* -1/2 x)) x)
(/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)
(/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) 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 (* (exp (neg x)) (- (exp x) 1)))
(* (exp (neg x)) (- (exp x) 1))
(exp (neg x))
(/ (exp x) (- (exp x) 1))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (/ 1 x))
(* -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))
(exp x)
(/ 1 (- (exp x) 1))
(- (exp x) 1)
(/ 1 (* (exp (* -1 x)) (- (exp x) 1)))
(* (exp (* -1 x)) (- (exp x) 1))
(exp (* -1 x))
(* -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
3.0ms	x	@	inf	((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (pow (- (exp x) 1) -1)) (exp x) (pow (- (exp x) 1) -1) (- (exp x) 1))
3.0ms	x	@	-inf	((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (pow (- (exp x) 1) -1)) (exp x) (pow (- (exp x) 1) -1) (- (exp x) 1))
2.0ms	x	@	0	((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (pow (- (exp x) 1) -1)) (exp x) (pow (- (exp x) 1) -1) (- (exp x) 1))

Time

Variable

Point

Expression

3.0ms

inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (pow (- (exp x) 1) -1)) (exp x) (pow (- (exp x) 1) -1) (- (exp x) 1))

3.0ms

-inf

((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (pow (- (exp x) 1) -1)) (exp x) (pow (- (exp x) 1) -1) (- (exp x) 1))

2.0ms

((/ 1 (* (exp (neg x)) (- (exp x) 1))) (* (exp (neg x)) (- (exp x) 1)) (exp (neg x)) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* (pow x 3) -1/720) (+ (* 1/12 x) (- (/ 1 x) -1/2))) (pow x 3) (* (exp x) (pow (- (exp x) 1) -1)) (exp x) (pow (- (exp x) 1) -1) (- (exp x) 1))

simplify144.0ms (2.4%)

Memory

19.3MiB live, 160.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	402
1	432	395
2	1421	375
3	5754	373
0	8420	333

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

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

rewrite233.0ms (3.8%)

Memory

8.9MiB live, 335.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	108
0	42	109
1	142	103
2	962	102
0	8654	102

Stop Event

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

Counts

16 → 650

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(exp.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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(exp.f64 x)
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(expm1.f64 x)

Outputs
(.f64 (.f64 (*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/4 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/4 binary64)))
(.f64 (.f64 (exp.f64 x) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))))
(.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (exp.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) (/.f64 (expm1.f64 x) (exp.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) (.f64 (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))) (-.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x))) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)))) (-.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) (.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (-.f64 (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x))) (.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (-.f64 (.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) (.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (sinh.f64 x))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 x) (exp.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (.f64 (sinh.f64 x) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (.f64 (cosh.f64 x) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (cosh.f64 x) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(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 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 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))))
(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(fma.f64 (cosh.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (exp.f64 x) (*.f64 (sinh.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (exp.f64 x)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(fma.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (cosh.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x) (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)))
(fma.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x) (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 x) (cosh.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (*.f64 (exp.f64 x) (sinh.f64 (neg.f64 (log.f64 (expm1.f64 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)))))
(-.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (sinh.f64 (neg.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(-.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (.f64 (neg.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (sinh.f64 x)))
(+.f64 (.f64 (cosh.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
(+.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x)))))
(+.f64 (.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)))))
(+.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (cosh.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (exp.f64 x)) (.f64 (sinh.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (cosh.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 2 binary64) x))) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(+.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 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 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 (exp.f64 x) (cosh.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (.f64 (exp.f64 x) (sinh.f64 (neg.f64 (log.f64 (expm1.f64 x))))))
(+.f64 (/.f64 (cosh.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (exp.f64 (neg.f64 x))) (/.f64 (sinh.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 (fma.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64) x)) (sinh.f64 (fma.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64) x)))
(+.f64 (cosh.f64 (+.f64 x (neg.f64 (log.f64 (expm1.f64 x))))) (sinh.f64 (+.f64 x (neg.f64 (log.f64 (expm1.f64 x))))))
(+.f64 (cosh.f64 (.f64 (-.f64 (log.f64 (expm1.f64 x)) x) #s(literal -1 binary64))) (sinh.f64 (.f64 (-.f64 (log.f64 (expm1.f64 x)) x) #s(literal -1 binary64))))
(+.f64 (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(+.f64 (.f64 (cosh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) (.f64 (sinh.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(+.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)))
(+.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (sinh.f64 x)))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
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eval130.0ms (2.1%)

Memory: -5.1MiB live, 176.3MiB allocated
Compiler: Compiled 22 351 to 2 442 computations (89.1% saved)

prune22.0ms (0.4%)

Memory

4.3MiB live, 51.3MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	751	9	760
Fresh	0	3	3
Picked	3	2	5
Done	0	0	0
Total	754	14	768

Accuracy

100.0%

Counts

768 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.3%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	86.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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)))
▶	83.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	77.5%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
▶	100.0%	(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
	87.0%	(.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	98.7%	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	65.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
✓	65.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	65.4%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
	65.5%	#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Compiler

Compiled 419 to 320 computations (23.6% saved)

simplify101.0ms (1.6%)

Memory

12.5MiB live, 156.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (-.f64 (*.f64 (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 (-.f64 (.f64 (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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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	(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
cost-diff	0	(expm1.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (expm1.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	2	(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	231
0	62	231
1	90	229
2	171	225
3	437	225
4	2051	225
0	9840	223

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(exp.f64 x)
x
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
#s(literal 1 binary64)
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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 (.f64 (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 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
#s(literal -1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

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

localize87.0ms (1.4%)

Memory

6.8MiB live, 97.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 (-.f64 (*.f64 (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	0.125	(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.265625	(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
accuracy	8.458734898678813	#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.05078125	(fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.05078125	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.328125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	10.634923475383419	#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	21.908650106744734	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	0.328125	(*.f64 #s(literal 1/12 binary64) x)
accuracy	21.802322424287347	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
accuracy	40.83033778437208	#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
accuracy	0.0	(expm1.f64 x)
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (expm1.f64 x))
accuracy	0.01171875	(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))

Samples

66.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 186 to 34 computations (81.7% saved)

Precisions

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

ival-mult: 15.0ms (30.1% of total)

const: 10.0ms (20% of total)

ival-div: 7.0ms (14% of total)

ival-exp: 7.0ms (14% of total)

ival-sub: 4.0ms (8% of total)

ival-add: 4.0ms (8% of total)

ival-expm1: 2.0ms (4% of total)

adjust: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-33.2MiB live, 11.9MiB allocated

Counts

21 → 66

Calls

Call 1

Inputs
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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 (.f64 (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 (*.f64 (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 1/6 binary64) x)
(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))

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

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

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

3.0ms

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

3.0ms

inf

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

simplify132.0ms (2.2%)

Memory

39.5MiB live, 131.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	608
1	508	587
2	1608	561
3	6044	554
0	8395	504

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 65

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

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

rewrite199.0ms (3.3%)

Memory

-23.7MiB live, 165.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	202
0	62	202
1	201	200
2	1332	200
0	8484	198

Stop Event

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

Counts

21 → 363

Calls

Call 1

Inputs
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 #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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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 (.f64 (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 (*.f64 (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 1/6 binary64) x)
(*.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))

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

eval52.0ms (0.9%)

Memory: 34.6MiB live, 78.3MiB allocated
Compiler: Compiled 14 323 to 2 036 computations (85.8% saved)

prune464.0ms (7.6%)

Memory

-53.2MiB live, 48.8MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	410	10	420
Fresh	0	7	7
Picked	0	5	5
Done	0	2	2
Total	410	24	434

Accuracy

100.0%

Counts

434 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.3%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	40.3%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
✓	86.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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)))
	86.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	86.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
▶	86.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	83.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	77.5%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
	26.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)))
	20.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)))
	22.7%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
▶	20.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)))))
✓	100.0%	(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
	87.0%	(.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	98.7%	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
	78.0%	(.f64 (exp.f64 x) #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (.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)))
✓	65.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
✓	65.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	65.4%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
	65.5%	#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Compiler

Compiled 937 to 673 computations (28.2% saved)

simplify138.0ms (2.3%)

Memory

-9.4MiB live, 99.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	284
0	63	284
1	92	284
2	190	280
3	510	277
4	2108	277
0	8973	267

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1.8%)

Memory

5.7MiB live, 94.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	22.112036266574766	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	38.21789338819751	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0.265625	(.f64 #s(approx (+ ( -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x)
accuracy	0.328125	(*.f64 #s(literal -1/24 binary64) x)
accuracy	8.458734898678813	#s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	40.86402260337161	#s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x))
accuracy	0.0859375	(.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (.f64 x x))
accuracy	0.1171875	(fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))
accuracy	10.634923475383419	#s(approx (* (exp (neg x)) (- (exp 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))))
accuracy	39.6445800074227	#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)))
accuracy	21.908650106744734	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
accuracy	40.928605194271384	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
accuracy	0.0	(expm1.f64 x)
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(/.f64 (exp.f64 x) (expm1.f64 x))

Samples

92.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 173 to 33 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-expm1: 33.0ms (42.2% of total)

ival-mult: 15.0ms (19.2% of total)

const: 9.0ms (11.5% of total)

ival-add: 6.0ms (7.7% of total)

ival-div: 5.0ms (6.4% of total)

ival-exp: 4.0ms (5.1% of total)

ival-sub: 4.0ms (5.1% of total)

adjust: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.5%)

Memory

-39.3MiB live, 13.5MiB allocated

Counts

20 → 60

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify118.0ms (1.9%)

Memory

48.2MiB live, 134.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	522
1	446	505
2	1380	492
3	5273	486
0	8222	442

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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

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

rewrite186.0ms (3%)

Memory

-26.3MiB live, 164.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	251
0	63	251
1	220	251
2	1437	251
0	8150	242

Stop Event

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

Counts

20 → 274

Calls

Call 1

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

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

eval87.0ms (1.4%)

Memory: 16.8MiB live, 61.3MiB allocated
Compiler: Compiled 14 508 to 1 570 computations (89.2% saved)

prune40.0ms (0.7%)

Memory

-6.6MiB live, 48.6MiB allocated

Pruning

28 alts after pruning (17 fresh and 11 done)

	Pruned	Kept	Total
New	347	7	354
Fresh	2	10	12
Picked	0	5	5
Done	1	6	7
Total	350	28	378

Accuracy

100.0%

Counts

378 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.3%	(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	4.0%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
	38.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x) x))))
	83.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	86.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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)))
	86.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	86.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
✓	86.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	86.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 #s(approx ( (+ (* -1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	77.5%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
	72.1%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64))) x))) x)))
	26.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)))
	20.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)))
	22.7%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 #s(approx (+ ( (- (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x)))
✓	20.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)))))
	15.6%	(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 #s(approx (+ ( 1/6 x) -1/2) #s(literal -1/2 binary64)) (*.f64 x x)))))
✓	100.0%	(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
	87.0%	(.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	98.7%	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
	78.0%	(.f64 (exp.f64 x) #s(approx (/ 1 (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (.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)))
	65.5%	#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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	65.6%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
✓	65.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	65.4%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 1 512 to 663 computations (56.2% saved)

regimes28.0ms (0.5%)

Memory

-3.9MiB live, 39.2MiB allocated

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
9.0ms	x
7.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes23.0ms (0.4%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

33 → 1

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 x) (expm1.f64 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
100.0%	1	`(exp.f64 x)`
100.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
100.0%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes61.0ms (1%)

Memory

-14.2MiB live, 32.1MiB allocated

Counts

30 → 1

Calls

Call 1

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

Calls

3 calls:

48.0ms	x
6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
6.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes24.0ms (0.4%)

Memory

-15.7MiB live, 27.8MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
7.0ms	x
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.2%	2	`(exp.f64 x)`
99.2%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.2%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.3%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
86.4%	1	`(exp.f64 x)`
92.1%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes24.0ms (0.4%)

Memory

-42.0MiB live, 13.8MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
89.7%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
86.4%	1	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes14.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.6%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
86.6%	2	`(exp.f64 x)`
86.6%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.2%)

Memory

-26.0MiB live, 20.2MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(exp.f64 x)
5.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
83.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
83.0%	1	`(exp.f64 x)`
83.0%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

12 → 2

Calls

Call 1

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

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
83.2%	2	`(exp.f64 x)`
83.2%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
83.2%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

3.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
83.2%	2	`(exp.f64 x)`
83.2%	2	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes10.0ms (0.2%)

Memory

-30.7MiB live, 15.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(exp.f64 x)
3.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
77.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
77.5%	1	`(exp.f64 x)`
77.5%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

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
78.0%	2	`x`
78.0%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
78.0%	2	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
65.6%	1	`x`
65.6%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 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
3.4%	1	`(exp.f64 x)`
3.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.4%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

-39.4MiB live, 6.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	x
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
3.4%	1	`(exp.f64 x)`
3.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.4%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch12.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1164.1153532927633	-3.306620252177788

Samples

6.0ms

128×

valid

Compiler

Compiled 290 to 232 computations (20% saved)

Precisions

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

ival-div: 1.0ms (27.8% of total)

ival-exp: 1.0ms (27.8% of total)

ival-expm1: 1.0ms (27.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Memory

-16.4MiB live, 35.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-1164.1153532927633	-3.306620252177788
13.0ms	-5.549903419996559e+81	-1.371649946753929e+77

Samples

6.0ms

144×

valid

Compiler

Compiled 1 602 to 824 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (31.9% of total)

ival-exp: 1.0ms (31.9% of total)

ival-expm1: 1.0ms (31.9% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	-2.170194026525117e+105	-4.1998945600890036e+102

Samples

3.0ms

64×

valid

Compiler

Compiled 390 to 208 computations (46.7% saved)

Precisions

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

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

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

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

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1164.1153532927633	-3.306620252177788

Compiler

Compiled 482 to 376 computations (22% saved)

bsearch4.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	-1164.1153532927633	-3.306620252177788

Samples

2.0ms

32×

valid

Compiler

Compiled 386 to 304 computations (21.2% saved)

Precisions

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

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

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

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

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-1164.1153532927633	-3.306620252177788

Samples

2.0ms

48×

valid

Compiler

Compiled 362 to 288 computations (20.4% saved)

Precisions

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

ival-exp: 1.0ms (74.9% of total)

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

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

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.03663979800417889

Compiler

Compiled 9 to 9 computations (0% saved)

simplify70.0ms (1.1%)

Memory

2.7MiB live, 48.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	149	659
1	214	647
2	331	635
3	633	635
4	2375	611

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -15/4 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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))) (if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x) x)))) #s(approx (/ 1 ( (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -20000000000000000038313501714693374724319102545303840223056070291987586484079775119224722902163606470656 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)) (- (exp x) 1)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64))) x))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 #s(approx ( (+ (* -1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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 (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 #s(approx (+ ( 1/6 x) -1/2) #s(literal -1/2 binary64)) (*.f64 x x))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) 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)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -15/4 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -15/4 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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))) (if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x) x)))) #s(approx (/ 1 ( (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp 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(literal -1 binary64)) (if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) x) x))) #s(literal -1 binary64)) #s(approx (/ 1 ( (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -20000000000000000038313501714693374724319102545303840223056070291987586484079775119224722902163606470656 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)) (- (exp x) 1)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64))) x))) x))))
(if (<=.f64 x #s(literal -20000000000000000038313501714693374724319102545303840223056070291987586484079775119224722902163606470656 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp 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)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 #s(approx (+ (* -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x) (.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 #s(approx (+ ( -1/24 x) 1/6) (*.f64 #s(literal -1/24 binary64) x)) x) #s(literal 1/2 binary64)) x))) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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)))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 (.f64 (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) #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 #s(approx ( (+ (* -1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (.f64 (fma.f64 (-.f64 #s(approx ( (+ (* -1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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 (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp 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(literal -1 binary64)) #s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -7/2 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp 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(literal -1 binary64)) #s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp 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 (/ 1 (* (exp (neg x)) (- (exp x) 1))) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 #s(approx (+ ( 1/6 x) -1/2) #s(literal -1/2 binary64)) (*.f64 x x))))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (pow.f64 #s(approx (* (exp (neg x)) (- (exp x) 1)) #s(approx (* (+ (* (- (* 1/6 x) 1/2) x) 1) x) (.f64 #s(approx (+ ( 1/6 x) -1/2) #s(literal -1/2 binary64)) (.f64 x x)))) #s(literal -1 binary64)) #s(approx (/ 1 ( (exp (neg x)) (- (exp x) 1))) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ 1 (* (exp (neg x)) (- (exp x) 1))) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

derivations1.3s (22%)

Memory

35.2MiB live, 869.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	522
1	446	505
2	1380	492
3	5273	486
0	8222	442
0	44	111
1	166	111
2	530	105
3	1942	105
4	5239	105
0	8089	87
0	5	13
0	8	13
1	30	13
2	177	13
3	1809	13
0	9626	9
0	44	251
0	63	251
1	220	251
2	1437	251
0	8150	242
0	161	608
1	508	587
2	1608	561
3	6044	554
0	8395	504
0	135	402
1	432	395
2	1421	375
3	5754	373
0	8420	333

Stop Event

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

Compiler

Compiled 674 to 153 computations (77.3% saved)

preprocess112.0ms (1.8%)

Memory: 10.2MiB live, 148.0MiB allocated
Compiler: Compiled 1 374 to 328 computations (76.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample772.0ms (12.6%)

explain65.0ms (1.1%)

preprocess188.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify118.0ms (1.9%)

localize31.0ms (0.5%)

series2.0ms (0%)

simplify192.0ms (3.1%)

rewrite253.0ms (4.1%)

eval93.0ms (1.5%)

prune23.0ms (0.4%)

simplify142.0ms (2.3%)

localize85.0ms (1.4%)

series8.0ms (0.1%)

simplify144.0ms (2.4%)

rewrite233.0ms (3.8%)

eval130.0ms (2.1%)

prune22.0ms (0.4%)

simplify101.0ms (1.6%)

localize87.0ms (1.4%)

series13.0ms (0.2%)

simplify132.0ms (2.2%)

rewrite199.0ms (3.3%)

eval52.0ms (0.9%)

prune464.0ms (7.6%)

simplify138.0ms (2.3%)

localize112.0ms (1.8%)

series28.0ms (0.5%)

simplify118.0ms (1.9%)

rewrite186.0ms (3%)

eval87.0ms (1.4%)

prune40.0ms (0.7%)

regimes28.0ms (0.5%)

regimes23.0ms (0.4%)

regimes61.0ms (1%)

regimes24.0ms (0.4%)

regimes18.0ms (0.3%)

regimes24.0ms (0.4%)

regimes7.0ms (0.1%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch18.0ms (0.3%)

bsearch6.0ms (0.1%)

bsearch2.0ms (0%)

bsearch4.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

simplify70.0ms (1.1%)

derivations1.3s (22%)

preprocess112.0ms (1.8%)

end0.0ms (0%)

Profiling