Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.5s (9.4%)

Memory

63.1MiB live, 2 233.5MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 534.0ms

ival-expm1: 358.0ms (67% of total)

ival-div: 155.0ms (29% of total)

ival-true: 13.0ms (2.4% of total)

ival-assert: 7.0ms (1.3% of total)

Bogosity

explain695.0ms (4.3%)

Memory

-219.1MiB live, 378.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	121	0

Confusion

	Predicted +	Predicted -
+	121	0
-	0	135

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	0
-	0	0	135

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

518.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

ival-exp: 442.0ms (95.9% of total)

ival-div: 9.0ms (2% of total)

ival-expm1: 8.0ms (1.7% of total)

ival-true: 1.0ms (0.2% of total)

exact: 1.0ms (0.2% of total)

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

preprocess398.0ms (2.4%)

Memory

86.5MiB live, 509.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	26	15
2	63	15
3	179	15
4	731	15
0	5	6
0	8	6
1	16	6
2	29	6
3	63	6
4	227	6
5	2001	6
6	5288	6
0	8804	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify1.5s (8.9%)

Memory

-14.7MiB live, 577.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (0.5%)

Memory

-77.9MiB live, 130.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01953125	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	28.008795023724872	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

52.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-expm1: 31.0ms (74.9% of total)

ival-exp: 5.0ms (12.1% of total)

ival-div: 4.0ms (9.7% 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

12.7MiB live, 12.7MiB allocated

Counts

3 → 14

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (exp x) 1) (/ (- (exp x) 1) x) (exp x))
1.0ms	x	@	inf	((- (exp x) 1) (/ (- (exp x) 1) x) (exp x))
1.0ms	x	@	0	((- (exp x) 1) (/ (- (exp x) 1) x) (exp x))

simplify430.0ms (2.6%)

Memory

41.7MiB live, 574.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	99
1	104	99
2	331	99
3	1068	99
4	2701	99
5	5943	99
0	8170	78

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

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

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

rewrite504.0ms (3.1%)

Memory

-1.2MiB live, 596.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 279

Calls

Call 1

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

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

eval100.0ms (0.6%)

Memory: 9.8MiB live, 114.9MiB allocated
Compiler: Compiled 6 749 to 1 123 computations (83.4% saved)

prune52.0ms (0.3%)

Memory

-45.7MiB live, 55.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	284	8	292
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	285	8	293

Accuracy

100.0%

Counts

293 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
▶	76.1%	(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) x))
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	64.6%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	60.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	57.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	49.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	49.3%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 192 to 146 computations (24% saved)

simplify364.0ms (2.2%)

Memory

94.3MiB live, 538.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	153
0	52	153
1	87	153
2	204	150
3	655	149
4	3028	144
0	8957	144

Stop Event

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

Calls

Call 1

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

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

localize284.0ms (1.7%)

Memory

27.0MiB live, 450.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))
accuracy	0.015625	(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) x))
accuracy	0.01953125	(*.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) x)
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.03515625	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.11328125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	18.167319706606676	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	17.776119238297532	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	17.70464418520985	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0.0	(expm1.f64 x)
accuracy	0.01953125	(/.f64 (expm1.f64 x) x)

Samples

201.0ms	195×	0	valid
50.0ms	61×	0	exit

Compiler

Compiled 152 to 30 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-add: 62.0ms (37.1% of total)

const: 40.0ms (23.9% of total)

ival-mult: 26.0ms (15.6% of total)

ival-div: 24.0ms (14.4% of total)

ival-expm1: 8.0ms (4.8% of total)

ival-exp: 4.0ms (2.4% of total)

exact: 2.0ms (1.2% of total)

ival-neg: 2.0ms (1.2% of total)

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

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

series51.0ms (0.3%)

Memory

-28.2MiB live, 74.8MiB allocated

Counts

18 → 60

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
32.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (neg (- (exp (* 2 x)) 1)) (* (+ (* -1 (exp x)) -1) x)) (+ (* -1 (exp x)) -1) (neg (- (exp (* 2 x)) 1)) (- (exp (* 2 x)) 1) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (* -1 (exp x)) -1) x) (exp x))
10.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (neg (- (exp (* 2 x)) 1)) (* (+ (* -1 (exp x)) -1) x)) (+ (* -1 (exp x)) -1) (neg (- (exp (* 2 x)) 1)) (- (exp (* 2 x)) 1) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (* -1 (exp x)) -1) x) (exp x))
7.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/ (neg (- (exp (* 2 x)) 1)) (* (+ (* -1 (exp x)) -1) x)) (+ (* -1 (exp x)) -1) (neg (- (exp (* 2 x)) 1)) (- (exp (* 2 x)) 1) (+ (* 1/24 x) 1/6) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (+ (* -1 (exp x)) -1) x) (exp x))

Time

Variable

Point

Expression

32.0ms

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

10.0ms

-inf

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

7.0ms

inf

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

simplify413.0ms (2.5%)

Memory

-48.4MiB live, 654.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	500
1	457	486
2	1433	478
3	5552	478
0	8199	431

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

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

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

rewrite420.0ms (2.6%)

Memory

69.0MiB live, 945.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	136
0	52	136
1	189	129
2	1280	129
0	8471	129

Stop Event

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

Counts

18 → 446

Calls

Call 1

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

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

eval247.0ms (1.5%)

Memory: -30.6MiB live, 395.1MiB allocated
Compiler: Compiled 16 911 to 2 453 computations (85.5% saved)

prune17.0ms (0.1%)

Memory

64.7MiB live, 64.7MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	490	8	498
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	493	13	506

Accuracy

100.0%

Counts

506 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
▶	76.1%	(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	64.6%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 #s(literal 1 binary64) x))) x)
▶	64.6%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	54.5%	(/.f64 #s(approx (- (exp x) 1) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) x)) x)
▶	19.1%	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x)
	60.4%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	57.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	49.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	12.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
	12.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	49.3%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 480 to 321 computations (33.1% saved)

simplify533.0ms (3.3%)

Memory

-85.5MiB live, 582.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
cost-diff	1	(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
cost-diff	1	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal -1/24 binary64) x)))
cost-diff	2	(.f64 (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal -1/24 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x)) x)
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
cost-diff	0	#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(expm1.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))
cost-diff	1	(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	405
0	79	389
1	145	389
2	341	389
3	1004	389
4	3724	389
0	9017	351

Stop Event

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

Calls

Call 1

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

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

localize409.0ms (2.5%)

Memory

12.3MiB live, 771.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.19140625	(.f64 (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal -1/24 binary64) x))
accuracy	0.265625	(*.f64 #s(literal -1/24 binary64) x)
accuracy	6.661589769442756	(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))
accuracy	18.167319706606676	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0.11328125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.203125	(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
accuracy	18.167319706606676	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)) x))
accuracy	29.704291828884198	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
accuracy	0.0390625	(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
accuracy	0.09765625	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	17.776119238297532	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
accuracy	29.76940162547219	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
accuracy	0.03125	(fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	17.776119238297532	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	18.382572760889545	#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(+.f64 (exp.f64 x) #s(literal 1 binary64))
accuracy	0.015625	(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))
accuracy	0.01953125	(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Samples

277.0ms	194×	0	valid
55.0ms	61×	0	exit
3.0ms	1×	5	exit

Compiler

Compiled 276 to 40 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-mult: 114.0ms (41% of total)

const: 84.0ms (30.2% of total)

ival-expm1: 44.0ms (15.8% of total)

ival-add: 18.0ms (6.5% of total)

ival-div: 10.0ms (3.6% of total)

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

ival-sub: 2.0ms (0.7% of total)

adjust: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series39.0ms (0.2%)

Memory

96.5MiB live, 96.5MiB allocated

Counts

26 → 65

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

25.0ms

-inf

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

7.0ms

inf

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

4.0ms

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

simplify337.0ms (2.1%)

Memory

-33.0MiB live, 406.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	497
1	468	483
2	1536	479
3	5723	479
0	8429	417

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite559.0ms (3.4%)

Memory

-30.8MiB live, 870.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	317
0	79	298
1	296	267
2	2223	267
0	8213	250

Stop Event

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

Counts

26 → 645

Calls

Call 1

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

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 x (expm1.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(.f64 (/.f64 x (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (/.f64 x (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (exp.f64 x) x) (.f64 (exp.f64 x) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (exp.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (exp.f64 x)) (.f64 x (exp.f64 x)) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (exp.f64 x)) (.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (exp.f64 x)) (.f64 x (exp.f64 x))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) x) (.f64 (exp.f64 x) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (exp.f64 x) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) x)) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (.f64 x (expm1.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) x) (expm1.f64 x))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (.f64 x (expm1.f64 (.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(/.f64 (*.f64 x (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (exp.f64 x) x))
(fma.f64 (exp.f64 x) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (exp.f64 x) x))
(+.f64 (.f64 x (exp.f64 x)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (exp.f64 x)))
(+.f64 (.f64 (exp.f64 x) x) (.f64 #s(literal 1 binary64) 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))) (/.f64 (expm1.f64 x) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 x) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) (/.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)))) (neg.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal 3 binary64))) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)) (.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))))) (neg.f64 (neg.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) x) (.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
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(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))))))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (*.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))))))))
(-.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x (.f64 #s(literal -1/144 binary64) x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x (*.f64 #s(literal -1/144 binary64) x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) (pow.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/1296 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))))
(-.f64 (/.f64 #s(literal 1/46656 binary64) (.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal -1/24 binary64) x)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))))
(-.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 1/144 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)) (.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/144 binary64))))))
(+.f64 (/.f64 #s(literal 1/1296 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) x) x #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64))) (.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (.f64 #s(literal 1/576 binary64) x) x (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 (neg.f64 (.f64 x #s(literal 1/576 binary64))) x) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 #s(literal -1/576 binary64) (.f64 x x)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal 1/24 binary64) x)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 (fabs.f64 (fabs.f64 x)) #s(literal 1/24 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 1/576 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/24 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (sqrt.f64 #s(literal 1/24 binary64)))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal -1/24 binary64) x)) (sqrt.f64 (*.f64 #s(literal -1/24 binary64) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64))) (sqrt.f64 #s(literal -1/24 binary64)))
(.f64 (sqrt.f64 #s(literal -1/24 binary64)) (sqrt.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/24 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/24 binary64) x)))
(.f64 (sqrt.f64 #s(literal 1/24 binary64)) (sqrt.f64 (.f64 x (*.f64 #s(literal 1/24 binary64) x))))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/576 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 1/576 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal -1/24 binary64))
(*.f64 (fabs.f64 x) #s(literal 1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) (fabs.f64 (fabs.f64 x)))
(*.f64 #s(literal 1/24 binary64) (fabs.f64 x))
(*.f64 x #s(literal -1/24 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)))
(fabs.f64 (*.f64 #s(literal -1/24 binary64) x))
(fabs.f64 (*.f64 #s(literal 1/24 binary64) x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/24 binary64) x)) #s(literal 1 binary64)))

eval398.0ms (2.4%)

Memory: 57.5MiB live, 580.9MiB allocated
Compiler: Compiled 24 188 to 4 302 computations (82.2% saved)

prune102.0ms (0.6%)

Memory

-44.6MiB live, 93.6MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	673	10	683
Fresh	1	4	5
Picked	3	2	5
Done	0	3	3
Total	677	19	696

Accuracy

100.0%

Counts

696 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
▶	76.1%	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	64.6%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 #s(literal 1 binary64) x))) x)
	64.6%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/576 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	55.9%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	64.5%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( (* -1/24 x) (* -1/24 x))) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
▶	48.6%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( (* -1/24 x) (* -1/24 x))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	54.5%	(/.f64 #s(approx (- (exp x) 1) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) x)) x)
▶	19.1%	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))) x) x)) x)) x)
▶	18.7%	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)) x)) x)
	19.1%	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)) x)
	60.4%	#s(approx (/ (- (exp (* 2 x)) 1) (* (+ (exp x) 1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	57.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	49.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	12.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
	12.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))))
✓	49.3%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 890 to 590 computations (33.7% saved)

simplify452.0ms (2.8%)

Memory

50.7MiB live, 504.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))) x) x)) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))) x) x)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))) x) x)) x)) x)
cost-diff	6	(-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( (* -1/24 x) (* -1/24 x))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( (* -1/24 x) (* -1/24 x))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( (* -1/24 x) (* -1/24 x))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
cost-diff	1	(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)) x)) x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(+.f64 x x)
cost-diff	0	(expm1.f64 (+.f64 x x))
cost-diff	1	(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)
cost-diff	4	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	688
0	99	667
1	175	667
2	404	667
3	1169	664
4	4630	629
0	8047	560

Stop Event

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

Calls

Call 1

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

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

localize496.0ms (3%)

Memory

26.0MiB live, 566.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (*.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))) x)
accuracy	0.28515625	(*.f64 x #s(literal 1/576 binary64))
accuracy	18.167319706606676	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))) x) x)) x))
accuracy	29.704291828884198	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))) x) x))
accuracy	0.265625	(*.f64 #s(literal -1/24 binary64) x)
accuracy	6.661589769442756	(/.f64 #s(approx (- 1/36 (* (* -1/24 x) (* -1/24 x))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))
accuracy	18.167319706606676	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( (* -1/24 x) (* -1/24 x))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	18.270484210648753	#s(approx (- 1/36 (* (* -1/24 x) (* -1/24 x))) #s(literal 1/36 binary64))
accuracy	0.265625	(*.f64 #s(literal 1/24 binary64) x)
accuracy	18.167319706606676	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x)) x))
accuracy	29.704291828884198	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x) x))
accuracy	30.079311471175867	#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	17.776119238297532	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))))
accuracy	18.48889677568793	#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
accuracy	29.76940162547219	#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.0	(exp.f64 x)
accuracy	0.01171875	(+.f64 (exp.f64 x) #s(literal 1 binary64))
accuracy	0.015625	(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x))
accuracy	0.01953125	(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Samples

145.0ms	165×	0	valid
95.0ms	61×	0	exit
86.0ms	12×	2	valid
25.0ms	17×	1	valid
7.0ms	1×	5	exit

Compiler

Compiled 390 to 52 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 58.0ms (33.7% of total)

const: 41.0ms (23.8% of total)

ival-add: 29.0ms (16.8% of total)

ival-div: 17.0ms (9.9% of total)

adjust: 12.0ms (7% of total)

ival-expm1: 6.0ms (3.5% of total)

ival-sub: 5.0ms (2.9% of total)

ival-exp: 4.0ms (2.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series70.0ms (0.4%)

Memory

-47.6MiB live, 58.4MiB allocated

Counts

30 → 64

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

52.0ms

inf

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

10.0ms

-inf

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

6.0ms

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

simplify889.0ms (5.5%)

Memory

76.2MiB live, 402.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	503
1	482	489
2	1564	485
3	5907	485
0	8412	420

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

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

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

rewrite953.0ms (5.8%)

Memory

-91.4MiB live, 715.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	551
0	99	531
1	357	531
2	2543	507
0	8488	449

Stop Event

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

Counts

30 → 436

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 x) x))
(*.f64 (/.f64 (+.f64 (fabs.f64 (exp.f64 x)) #s(literal 1 binary64)) (+.f64 (fabs.f64 (exp.f64 x)) #s(literal 1 binary64))) (/.f64 (expm1.f64 x) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) (/.f64 (expm1.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fabs.f64 (exp.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (fabs.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (fabs.f64 (exp.f64 x)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal 3 binary64))) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (fabs.f64 (exp.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -2 binary64)) (.f64 (/.f64 (fabs.f64 (exp.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (fabs.f64 (exp.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) x) (.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 (fabs.f64 (exp.f64 x)) x) x) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(/.f64 (-.f64 (.f64 (/.f64 (fabs.f64 (exp.f64 x)) x) (.f64 (neg.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 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (fabs.f64 (exp.f64 x)) x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 x #s(literal -1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (fabs.f64 (exp.f64 x)) x) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
(/.f64 (-.f64 (.f64 (/.f64 (fabs.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 (fabs.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 x #s(literal -1 binary64))) (.f64 x (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (fabs.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x (pow.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(/.f64 (-.f64 (.f64 (/.f64 (fabs.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (.f64 x #s(literal 1 binary64))) (.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (fabs.f64 (exp.f64 x))) x) (.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
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(.f64 (sqrt.f64 (.f64 #s(literal -1/24 binary64) x)) (sqrt.f64 (*.f64 #s(literal -1/24 binary64) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64))) (sqrt.f64 #s(literal -1/24 binary64)))
(.f64 (sqrt.f64 #s(literal -1/24 binary64)) (sqrt.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/24 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/24 binary64) x)))
(.f64 (sqrt.f64 #s(literal 1/24 binary64)) (sqrt.f64 (.f64 x (*.f64 #s(literal 1/24 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/576 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/576 binary64) x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal -1/24 binary64))
(*.f64 (fabs.f64 x) #s(literal 1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) (fabs.f64 (fabs.f64 x)))
(*.f64 #s(literal 1/24 binary64) (fabs.f64 x))
(*.f64 x #s(literal -1/24 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) x)))
(fabs.f64 (*.f64 #s(literal -1/24 binary64) x))
(fabs.f64 (*.f64 #s(literal 1/24 binary64) x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/24 binary64) x)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal -1/576 binary64) x) (neg.f64 x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(*.f64 #s(literal 1/576 binary64) x)
(.f64 (.f64 #s(literal -1/24 binary64) x) #s(literal -1/24 binary64))
(.f64 #s(literal -1/24 binary64) (.f64 #s(literal -1/24 binary64) x))
(*.f64 x #s(literal 1/576 binary64))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/576 binary64) x) (neg.f64 x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)
(.f64 x (/.f64 (fma.f64 (.f64 #s(literal -1/576 binary64) x) (neg.f64 x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 2 binary64)) #s(literal 1/331776 binary64))) x)) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal 1/576 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 3 binary64)) #s(literal 1/191102976 binary64))) x)) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 1/576 binary64)) (/.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal 1/576 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 2 binary64)) #s(literal 1/331776 binary64))))) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal 1/576 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 3 binary64)) #s(literal 1/191102976 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 1/576 binary64)) (/.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal 1/576 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 2 binary64)) #s(literal 1/331776 binary64))) x) (/.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal 1/576 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 3 binary64)) #s(literal 1/191102976 binary64))) x) (fma.f64 (.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 1/576 binary64)) (/.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal 1/576 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 2 binary64)) #s(literal 1/331776 binary64)))) (/.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal 1/576 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 3 binary64)) #s(literal 1/191102976 binary64)))) (fma.f64 (.f64 (.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) x) #s(literal 1/576 binary64)) (/.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal 1/576 binary64) x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x (.f64 (.f64 (*.f64 #s(literal -1/576 binary64) x) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) x))
(fma.f64 x (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 x (.f64 (*.f64 #s(literal -1/576 binary64) x) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x) (.f64 (.f64 (.f64 #s(literal -1/576 binary64) x) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) x))
(+.f64 (.f64 x (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) (.f64 x (.f64 (.f64 #s(literal -1/576 binary64) x) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))))

eval220.0ms (1.3%)

Memory: 7.1MiB live, 441.1MiB allocated
Compiler: Compiled 16 563 to 2 736 computations (83.5% saved)

prune68.0ms (0.4%)

Memory

-7.8MiB live, 199.9MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	481	10	491
Fresh	4	5	9
Picked	4	1	5
Done	0	5	5
Total	489	21	510

Accuracy

100.0%

Counts

510 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.4%	(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
	76.1%	(/.f64 (expm1.f64 (+.f64 x x)) #s(approx (* (+ (exp x) 1) x) (fma.f64 (exp.f64 x) x x)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	64.6%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 #s(literal 1 binary64) x))) x)
	55.9%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal -1/24 binary64) x))) (+.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	64.5%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( (* -1/24 x) (* -1/24 x))) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	48.6%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( (* -1/24 x) (* -1/24 x))) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	57.1%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( (* -1/24 x) (* -1/24 x))) #s(literal 1/36 binary64)) (-.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal -1/24 binary64) x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	54.5%	(/.f64 #s(approx (- (exp x) 1) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) x)) x)
	19.1%	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) (*.f64 #s(literal -1/576 binary64) x) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x) x)) x)) x)
	10.4%	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/576 binary64) x) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/36 binary64))) (.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x) x)) x)) x)
	19.1%	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/576 binary64) x) (neg.f64 x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x) x)) x)) x)
	19.1%	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal -1/576 binary64) x) (neg.f64 x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))) x)) x)
	18.7%	(/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)))) x)) x)
	60.4%	#s(approx (/ (- (exp (+ x x)) 1) (* (+ (exp x) 1) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	57.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	49.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	12.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
	12.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))))
✓	49.3%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 582 to 648 computations (59% saved)

regimes46.0ms (0.3%)

Memory

58.5MiB live, 165.0MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	x
16.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes55.0ms (0.3%)

Memory

14.4MiB live, 131.1MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

35.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
16.0ms	x

Results

Accuracy	Segments	Branch
66.2%	2	`x`
64.6%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes57.0ms (0.4%)

Memory

17.9MiB live, 129.2MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

41.0ms	x
13.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
64.6%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.6%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes69.0ms (0.4%)

Memory

-42.8MiB live, 64.6MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

56.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
11.0ms	x

Results

Accuracy	Segments	Branch
65.2%	2	`x`
65.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes21.0ms (0.1%)

Memory

58.7MiB live, 58.7MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

10.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
9.0ms	x

Results

Accuracy	Segments	Branch
65.2%	2	`x`
65.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes42.0ms (0.3%)

Memory

-60.2MiB live, 46.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
7.0ms	x

Results

Accuracy	Segments	Branch
60.4%	1	`x`
60.4%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.1%)

Memory

33.7MiB live, 33.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
57.8%	1	`x`
57.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.1%)

Memory

34.7MiB live, 34.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
57.9%	2	`x`
57.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes43.0ms (0.3%)

Memory

-89.0MiB live, 29.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
4.0ms	x

Results

Accuracy	Segments	Branch
57.9%	2	`x`
57.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB allocated

Accuracy

Total -29.5b remaining (-90.9%)

Threshold costs -29.5b (-90.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch24.0ms (0.1%)

Memory

-48.1MiB live, 56.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.993855377119971e+102	1.3587084862284658e+105

Samples

7.0ms

112×

valid

Compiler

Compiled 443 to 245 computations (44.7% saved)

Precisions

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

ival-div: 1.0ms (33.6% of total)

ival-expm1: 1.0ms (33.6% of total)

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.171197622810713	9120915.422744865

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.171197622810713	9120915.422744865

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

4.7MiB live, 4.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.171197622810713	9120915.422744865

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.171197622810713	9120915.422744865

Compiler

Compiled 9 to 9 computations (0% saved)

simplify587.0ms (3.6%)

Memory

-97.9MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	308
1	103	305
2	191	305
3	430	305
4	1002	305
5	3129	305
6	7426	305

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (/.f64 #s(approx (- (exp x) 1) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) x)) x) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)))) x)) x))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (/.f64 #s(approx (- (exp x) 1) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))) x)) x) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 16500000000000000429467228042451347871869058117332340264386178628767932801736995987887994004311675764736 binary64)) (/.f64 #s(approx (- (exp x) 1) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) x)) x) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)) x))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (/.f64 #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) #s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)))) x)) x))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

soundness2.4s (14.8%)

Memory

165.0MiB live, 3 188.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	497
1	468	483
2	1536	479
3	5723	479
0	8429	417
0	141	500
1	457	486
2	1433	478
3	5552	478
0	8199	431
0	51	317
0	79	298
1	296	267
2	2223	267
0	8213	250
0	29	136
0	52	136
1	189	129
2	1280	129
0	8471	129
0	26	99
1	104	99
2	331	99
3	1068	99
4	2701	99
5	5943	99
0	8170	78
0	66	551
0	99	531
1	357	531
2	2543	507
0	8488	449
0	5	12
0	8	12
1	33	12
2	199	12
3	1982	12
0	8709	8

Stop Event

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

Compiler

Compiled 503 to 228 computations (54.7% saved)

preprocess348.0ms (2.1%)

Memory: 11.3MiB live, 458.3MiB allocated
Compiler: Compiled 666 to 182 computations (72.7% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.5s (9.4%)

explain695.0ms (4.3%)

preprocess398.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.5s (8.9%)

localize82.0ms (0.5%)

series4.0ms (0%)

simplify430.0ms (2.6%)

rewrite504.0ms (3.1%)

eval100.0ms (0.6%)

prune52.0ms (0.3%)

simplify364.0ms (2.2%)

localize284.0ms (1.7%)

series51.0ms (0.3%)

simplify413.0ms (2.5%)

rewrite420.0ms (2.6%)

eval247.0ms (1.5%)

prune17.0ms (0.1%)

simplify533.0ms (3.3%)

localize409.0ms (2.5%)

series39.0ms (0.2%)

simplify337.0ms (2.1%)

rewrite559.0ms (3.4%)

eval398.0ms (2.4%)

prune102.0ms (0.6%)

simplify452.0ms (2.8%)

localize496.0ms (3%)

series70.0ms (0.4%)

simplify889.0ms (5.5%)

rewrite953.0ms (5.8%)

eval220.0ms (1.3%)

prune68.0ms (0.4%)

regimes46.0ms (0.3%)

regimes55.0ms (0.3%)

regimes57.0ms (0.4%)

regimes69.0ms (0.4%)

regimes21.0ms (0.1%)

regimes42.0ms (0.3%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes43.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch24.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify587.0ms (3.6%)

soundness2.4s (14.8%)

preprocess348.0ms (2.1%)

end0.0ms (0%)

Profiling