Metrics for expq2 (section 3.11)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.8s (13.8%)

Memory

-26.2MiB live, 2 290.9MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 607.0ms

ival-exp: 270.0ms (44.5% of total)

ival-div: 135.0ms (22.2% of total)

ival-expm1: 100.0ms (16.5% of total)

ival->: 80.0ms (13.2% of total)

exact: 14.0ms (2.3% of total)

ival-assert: 7.0ms (1.2% of total)

Bogosity

explain200.0ms (1.6%)

Memory

-3.1MiB live, 320.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
155	1	(-0.003677372779123198)	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	0	-	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	156	0

Confusion

	Predicted +	Predicted -
+	155	0
-	1	100

Precision

0.9935897435897436

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	155	0	0
-	1	0	100

Precision?

0.9935897435897436

Recall?

1.0

Freqs

test

number	freq
0	100
1	156

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-exp: 9.0ms (38.8% of total)

ival-div: 7.0ms (30.2% of total)

ival-expm1: 6.0ms (25.9% of total)

ival-true: 1.0ms (4.3% of total)

exact: 1.0ms (4.3% of total)

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

preprocess329.0ms (2.6%)

Memory

78.3MiB live, 399.9MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify402.0ms (3.1%)

Memory

-13.9MiB live, 340.7MiB 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)

localize77.0ms (0.6%)

Memory

-38.4MiB live, 66.3MiB 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	35.53390000161818	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 4.0ms (36.1% of total)

ival-div: 3.0ms (27.1% of total)

ival-expm1: 3.0ms (27.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

simplify429.0ms (3.4%)

Memory

21.0MiB live, 457.6MiB 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)

rewrite448.0ms (3.5%)

Memory

63.8MiB live, 505.5MiB 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)

eval273.0ms (2.1%)

Memory: -36.1MiB live, 299.6MiB allocated
Compiler: Compiled 14 895 to 1 739 computations (88.3% saved)

prune45.0ms (0.4%)

Memory

-47.1MiB live, 61.8MiB 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
	40.5%	(/.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)))
▶	62.2%	#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)))))
▶	62.1%	#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))))
▶	61.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
	61.6%	#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)

simplify292.0ms (2.3%)

Memory

55.5MiB live, 284.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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	(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	23	132
0	35	130
1	53	130
2	118	130
3	338	130
4	1151	130
5	4774	130
0	8703	130

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)) (/.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 (exp.f64 x) (expm1.f64 x))
(exp.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)

localize215.0ms (1.7%)

Memory

11.6MiB live, 226.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(expm1.f64 x)
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(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	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	0.0703125	(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	0.12890625	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	24.201659701987975	#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	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	0.12890625	(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	24.235564565208403	#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	24.49414441695046	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(expm1.f64 x)
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(/.f64 (exp.f64 x) (expm1.f64 x))

Samples

190.0ms

256×

valid

Compiler

Compiled 127 to 21 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-exp: 50.0ms (46.3% of total)

ival-pow: 17.0ms (15.7% of total)

const: 12.0ms (11.1% of total)

ival-mult: 9.0ms (8.3% of total)

ival-div: 7.0ms (6.5% of total)

ival-add: 4.0ms (3.7% of total)

ival-sub: 4.0ms (3.7% of total)

ival-expm1: 3.0ms (2.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series12.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

13 → 33

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (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)) (pow (- (exp x) 1) -1))
3.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (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)) (pow (- (exp x) 1) -1))
3.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (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)) (pow (- (exp x) 1) -1))

Time

Variable

Point

Expression

5.0ms

-inf

((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (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)) (pow (- (exp x) 1) -1))

3.0ms

inf

((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (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)) (pow (- (exp x) 1) -1))

3.0ms

((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (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)) (pow (- (exp x) 1) -1))

simplify296.0ms (2.3%)

Memory

-21.2MiB live, 310.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	305
1	334	299
2	1152	281
3	4852	278
0	8213	253

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

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

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

rewrite501.0ms (3.9%)

Memory

-32.6MiB live, 499.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
0	35	92
1	125	92
2	869	92
0	8265	92

Stop Event

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

Counts

13 → 364

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(expm1.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)))
(pow.f64 (expm1.f64 x) #s(literal -1 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 (.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 (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 (.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)))))))
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eval836.0ms (6.5%)

Memory: -32.1MiB live, 268.6MiB allocated
Compiler: Compiled 17 463 to 1 715 computations (90.2% saved)

prune24.0ms (0.2%)

Memory

50.9MiB live, 50.9MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	498	8	506
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	501	13	514

Accuracy

100.0%

Counts

514 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.5%	(/.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))
	83.2%	(.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)))
▶	97.5%	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
	62.2%	#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))))
	35.3%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))))
✓	62.1%	#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))))
▶	37.7%	#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓	61.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	61.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
	36.3%	#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -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 390 to 292 computations (25.1% saved)

simplify327.0ms (2.6%)

Memory

-47.3MiB live, 376.1MiB 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	(*.f64 x x)
cost-diff	0	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x 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	#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	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	158
0	43	158
1	59	158
2	102	158
3	186	158
4	480	158
5	2864	158
6	6283	158
0	8222	146

Stop Event

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

Calls

Call 1

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

localize156.0ms (1.2%)

Memory

-18.3MiB live, 198.2MiB 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	24.987510784611175	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	35.53390000161818	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	26.107726729828567	(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
accuracy	39.7412000797163	#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	24.589798292223744	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy	0.33203125	(*.f64 #s(literal 1/12 binary64) x)
accuracy	24.235564565208403	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
accuracy	39.38027787740466	#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))
accuracy	0.0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
accuracy	20.863593985677355	#s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))

Samples

82.0ms

256×

valid

Compiler

Compiled 106 to 21 computations (80.2% saved)

Precisions

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

ival-pow: 18.0ms (31.4% of total)

ival-mult: 9.0ms (15.7% of total)

ival-div: 6.0ms (10.5% of total)

const: 6.0ms (10.5% of total)

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

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

ival-exp: 4.0ms (7% of total)

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

exact: 1.0ms (1.7% of total)

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

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

series10.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

16 → 29

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* (exp x) (pow (- (exp x) 1) -1)) (exp x) (pow (- (exp x) 1) -1) (- (/ 1 x) 1/2) (/ (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) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) (* x x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x))

3.0ms

inf

((* (exp x) (pow (- (exp x) 1) -1)) (exp x) (pow (- (exp x) 1) -1) (- (/ 1 x) 1/2) (/ (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) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) (* x x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x))

2.0ms

((* (exp x) (pow (- (exp x) 1) -1)) (exp x) (pow (- (exp x) 1) -1) (- (/ 1 x) 1/2) (/ (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) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) (* x x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x))

simplify353.0ms (2.8%)

Memory

83.0MiB live, 498.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	208
1	245	208
2	733	191
3	2532	187
4	7209	187
0	8355	164

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

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

rewrite321.0ms (2.5%)

Memory

-71.4MiB live, 485.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	138
0	43	136
1	153	134
2	939	134
0	8526	122

Stop Event

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

Counts

16 → 263

Calls

Call 1

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

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

eval99.0ms (0.8%)

Memory: 82.7MiB live, 199.4MiB allocated
Compiler: Compiled 8 960 to 1 066 computations (88.1% saved)

prune24.0ms (0.2%)

Memory

-47.6MiB live, 58.0MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	320	4	324
Fresh	2	3	5
Picked	2	3	5
Done	0	3	3
Total	324	13	337

Accuracy

100.0%

Counts

337 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	4.5%	(/.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)))
▶	83.2%	(.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)))
✓	97.5%	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
	76.0%	(.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
	39.1%	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))))
▶	62.2%	#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))))
✓	62.1%	#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))))
✓	61.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	61.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	3.5%	#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 341 to 252 computations (26.1% saved)

simplify354.0ms (2.8%)

Memory

31.9MiB live, 455.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	220
0	53	220
1	79	220
2	160	220
3	397	217
4	1054	217
5	3836	217
6	7560	217
0	8286	204

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (1.6%)

Memory

1.4MiB live, 324.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy	0.046875	(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)))
accuracy	0.31246756823872696	(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
accuracy	24.201659701987975	#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))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(/.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)))
accuracy	24.987510784611175	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	35.53390000161818	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0.12890625	(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
accuracy	24.235564565208403	#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))))
accuracy	39.50605039692422	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
accuracy	24.589798292223744	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
accuracy	39.50605039692422	#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
accuracy	0.04296875	(fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.33203125	(*.f64 #s(literal 1/12 binary64) x)
accuracy	9.100366583395584	(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	23.422463223223332	#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))

Samples

115.0ms

256×

valid

Compiler

Compiled 151 to 28 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 31.0ms (35.6% of total)

const: 14.0ms (16.1% of total)

ival-add: 11.0ms (12.6% of total)

ival-div: 9.0ms (10.3% of total)

ival-pow: 9.0ms (10.3% of total)

ival-sub: 5.0ms (5.7% of total)

ival-exp: 4.0ms (4.6% of total)

ival-expm1: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

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

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

series11.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

19 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

simplify256.0ms (2%)

Memory

60.5MiB live, 371.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	429
1	405	407
2	1343	386
3	5377	377
0	8547	340

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

rewrite427.0ms (3.3%)

Memory

-38.0MiB live, 514.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	190
0	53	190
1	204	190
2	1396	190
0	8684	180

Stop Event

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

Counts

19 → 356

Calls

Call 1

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

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

eval114.0ms (0.9%)

Memory: -17.2MiB live, 191.1MiB allocated
Compiler: Compiled 17 791 to 1 911 computations (89.3% saved)

prune29.0ms (0.2%)

Memory

78.2MiB live, 78.2MiB allocated

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	431	5	436
Fresh	0	2	2
Picked	1	4	5
Done	0	6	6
Total	432	17	449

Accuracy

100.0%

Counts

449 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	10.8%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
✓	4.5%	(/.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)))
	86.0%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	83.4%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	76.6%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
✓	97.5%	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
	76.0%	(.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) (-.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
	39.1%	(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))))
	61.7%	(.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(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)))
✓	62.2%	#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))))
✓	62.1%	#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))))
✓	61.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	61.6%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	3.5%	#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 770 to 335 computations (56.5% saved)

regimes47.0ms (0.4%)

Memory

-25.2MiB live, 81.3MiB allocated

Counts

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

Calls

3 calls:

20.0ms	(exp.f64 x)
14.0ms	x
11.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes214.0ms (1.7%)

Memory

-35.8MiB live, 77.6MiB 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(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(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 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.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 (pow (- (exp x) 1) -1) (-.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))))

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:

193.0ms	x
9.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
9.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
97.5%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes27.0ms (0.2%)

Memory

39.3MiB live, 39.3MiB 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(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(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 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) #s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))

Outputs

(*.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) #s(approx (- (/ 1 x) 1/2) #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))))

Calls

3 calls:

10.0ms	x
8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
98.7%	2	`x`
97.4%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
98.7%	2	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.2%)

Memory

39.5MiB live, 39.5MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
86.0%	1	`x`
86.0%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes32.0ms (0.3%)

Memory

-82.5MiB live, 34.0MiB allocated

Counts

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

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

Calls

3 calls:

19.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
7.0ms	x
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
83.4%	1	`x`
83.4%	1	`(exp.f64 x)`
83.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes16.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB 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(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

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

Calls

3 calls:

6.0ms	x
5.0ms	(exp.f64 x)
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
76.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
76.6%	1	`(exp.f64 x)`
76.6%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB 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)) (fma.f64 #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
62.1%	1	`(exp.f64 x)`
62.1%	1	`x`
62.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

5 → 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)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.7%	1	`x`
61.7%	1	`(exp.f64 x)`
61.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes17.0ms (0.1%)

Memory

-87.0MiB live, 18.4MiB allocated

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

Calls

3 calls:

10.0ms	(exp.f64 x)
3.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.766466662099311e-141	0.20879736469811028

Compiler

Compiled 9 to 9 computations (0% saved)

simplify91.0ms (0.7%)

Memory

30.0MiB live, 131.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	168
1	67	168
2	86	168
3	118	168
4	291	168
5	2217	168

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.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 (exp.f64 x) #s(literal 4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) #s(approx (- (/ 1 x) 1/2) #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(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 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))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

Outputs
(/.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 (exp.f64 x) #s(literal 4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) #s(approx (- (/ 1 x) 1/2) #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)))))
(if (<=.f64 (exp.f64 x) #s(literal 4290498537581631/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072 binary64)) (.f64 (exp.f64 x) #s(approx (pow (- (exp x) 1) -1) #s(approx (- (/ 1 x) 1/2) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 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))))
#s(approx (/ (exp 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 (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

soundness3.2s (25.1%)

Memory

51.1MiB live, 2 484.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	208
1	245	208
2	733	191
3	2532	187
4	7209	187
0	8355	164
0	5	13
0	8	13
1	30	13
2	177	13
3	1809	13
0	9626	9
0	103	305
1	334	299
2	1152	281
3	4852	278
0	8213	253
0	128	429
1	405	407
2	1343	386
3	5377	377
0	8547	340
0	44	111
1	166	111
2	530	105
3	1942	105
4	5239	105
0	8089	87

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

Compiler

Compiled 398 to 215 computations (46% saved)

preprocess229.0ms (1.8%)

Memory: 56.2MiB live, 162.8MiB allocated
Compiler: Compiled 362 to 142 computations (60.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (13.8%)

explain200.0ms (1.6%)

preprocess329.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify402.0ms (3.1%)

localize77.0ms (0.6%)

series4.0ms (0%)

simplify429.0ms (3.4%)

rewrite448.0ms (3.5%)

eval273.0ms (2.1%)

prune45.0ms (0.4%)

simplify292.0ms (2.3%)

localize215.0ms (1.7%)

series12.0ms (0.1%)

simplify296.0ms (2.3%)

rewrite501.0ms (3.9%)

eval836.0ms (6.5%)

prune24.0ms (0.2%)

simplify327.0ms (2.6%)

localize156.0ms (1.2%)

series10.0ms (0.1%)

simplify353.0ms (2.8%)

rewrite321.0ms (2.5%)

eval99.0ms (0.8%)

prune24.0ms (0.2%)

simplify354.0ms (2.8%)

localize210.0ms (1.6%)

series11.0ms (0.1%)

simplify256.0ms (2%)

rewrite427.0ms (3.3%)

eval114.0ms (0.9%)

prune29.0ms (0.2%)

regimes47.0ms (0.4%)

regimes214.0ms (1.7%)

regimes27.0ms (0.2%)

regimes22.0ms (0.2%)

regimes32.0ms (0.3%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes17.0ms (0.1%)

bsearch1.0ms (0%)

simplify91.0ms (0.7%)

soundness3.2s (25.1%)

preprocess229.0ms (1.8%)

end0.0ms (0%)

Profiling