Metrics for expm1 (example 3.7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample798.0ms (16%)

Memory

-141.7MiB live, 483.1MiB allocated

Samples

558.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-expm1: 53.0ms (39.2% of total)

ival-fabs: 47.0ms (34.7% of total)

ival-<=: 27.0ms (20% of total)

exact: 5.0ms (3.7% of total)

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

Bogosity

explain53.0ms (1.1%)

Memory

-10.8MiB live, 64.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	253	1

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	1	2

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms

512×

valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (47.7% of total)

ival-expm1: 3.0ms (35.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`sub-neg`
18×	`+-commutative`
10×	`*-commutative`
10×	`associate--r+`
8×	`--rgt-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	17	11
2	35	10
3	54	10
4	70	10
5	90	10
6	108	10
7	123	10
8	135	10
9	137	10
0	4	4
0	6	4
1	11	4
2	12	4
0	12	2

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.0%	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`lower-+.f64`
4×	`lower-+.f32`
2×	`lower-expm1.f64`
2×	`lift-exp.f64`
2×	`lower-expm1.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	11	8
2	12	8
0	12	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.7%)

Memory

-39.9MiB live, 11.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(exp.f64 x)
accuracy	58.26524673085106	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

31.0ms

256×

valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-expm1: 24.0ms (93.1% of total)

ival-exp: 2.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())

#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 1) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- (exp x) 1) (exp x))
0.0ms	x	@	-inf	((- (exp x) 1) (exp x))
0.0ms	x	@	inf	((- (exp x) 1) (exp x))

simplify17.0ms (0.3%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 308×	`lower-fma.f64`
1 308×	`lower-fma.f32`
364×	`lower-*.f64`
364×	`lower-*.f32`
308×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	77	108
2	168	108
3	371	108
4	587	108
5	720	108
6	725	108
0	725	81

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 23

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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(exp x)
(exp x)
(exp x)
(exp x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(exp x)
(exp x)
(exp 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 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)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

rewrite68.0ms (1.4%)

Memory

2.1MiB live, 74.0MiB allocated

Rules

594×	`lower-fma.f64`
594×	`lower-fma.f32`
574×	`lower-/.f64`
574×	`lower-/.f32`
536×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	24	6
2	130	6
0	1143	4

Stop Event

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

Counts

2 → 84

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: -11.7MiB live, 25.9MiB allocated
Compiler: Compiled 1 848 to 251 computations (86.4% saved)

prune7.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	99	8	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Accuracy

100.0%

Counts

108 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
	7.6%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
	7.3%	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
▶	5.2%	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 x)
▶	99.0%	#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))
▶	98.8%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	98.5%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))

Compiler

Compiled 130 to 102 computations (21.5% saved)

simplify22.0ms (0.4%)

Memory

-26.5MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1 068×	`lower-fma.f32`
1 056×	`lower-fma.f64`
336×	`lower-*.f32`
330×	`lower-*.f64`
284×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	125
0	38	125
1	59	125
2	99	125
3	206	125
4	442	125
5	702	125
6	756	125
0	756	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize274.0ms (5.5%)

Memory

12.7MiB live, 88.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.01953125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.02734375	(*.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	0.4249497937413543	#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	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	0.0234375	(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.5860202228064681	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0.01953125	(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
accuracy	0.75577072131184	#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
accuracy	1.4440777662518929	#s(approx (exp x) #s(literal 1 binary64))
accuracy	58.26524673085106	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(expm1.f64 x)

Samples

260.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 14.0ms (44.7% of total)

ival-add: 7.0ms (22.4% of total)

const: 6.0ms (19.2% of total)

ival-exp: 2.0ms (6.4% of total)

ival-expm1: 2.0ms (6.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (expm1.f64 x) (patch (expm1.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (.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) (patch (.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) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) (taylor -inf x) (#s(alt (.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) (patch (.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) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 3)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify139.0ms (2.8%)

Memory

12.7MiB live, 129.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 406×	`lower-fma.f64`
15 406×	`lower-fma.f32`
3 510×	`lower-*.f64`
3 510×	`lower-*.f32`
1 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1114
1	312	1106
2	868	1098
3	3280	1094
4	5712	1094
0	8397	862

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 172

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

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

rewrite190.0ms (3.8%)

Memory

7.6MiB live, 160.3MiB allocated

Rules

5 330×	`lower-fma.f32`
5 318×	`lower-fma.f64`
4 570×	`lower-/.f64`
4 570×	`lower-/.f32`
4 500×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	111
0	38	111
1	150	111
2	1092	111
0	8428	111

Stop Event

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

Counts

15 → 488

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))
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(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) x) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))
(.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (*.f64 x #s(literal -1/144 binary64))))))
(.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.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 (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 -1/36 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))))) (+.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 (pow.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))) #s(literal 3 binary64)) (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))) (fma.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 (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))) (fma.f64 (/.f64 #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))) (.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 (neg.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) #s(literal 1 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 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (pow.f64 (*.f64 x #s(literal 1/144 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 9 binary64)) #s(literal 1/10077696 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) (-.f64 #s(literal 1/46656 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2985984 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (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))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))
(/.f64 (neg.f64 (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 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 x #s(literal -1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 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 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 x #s(literal -1/144 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)) (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 x #s(literal -1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))))
(neg.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))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))))
(fma.f64 (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 -1 binary64)) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (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 (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))) (neg.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) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))

eval120.0ms (2.4%)

Memory: -25.7MiB live, 169.7MiB allocated
Compiler: Compiled 13 985 to 2 257 computations (83.9% saved)

prune20.0ms (0.4%)

Memory

17.4MiB live, 56.1MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	655	5	660
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	656	12	668

Accuracy

100.0%

Counts

668 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.9%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
	7.6%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
	7.3%	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	5.2%	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 x)
▶	99.1%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x))
▶	98.5%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
▶	55.6%	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)))
	99.0%	#s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
✓	99.0%	#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))
✓	98.8%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	97.5%	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 251 to 154 computations (38.6% saved)

simplify410.0ms (8.2%)

Memory

-13.1MiB live, 189.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x))
cost-diff	0	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)))
cost-diff	128	(-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)
cost-diff	9856	(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))
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	(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))
cost-diff	0	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)
cost-diff	0	#s(approx (- (exp x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)
cost-diff	0	#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x))

Rules

9 296×	`lower-fma.f32`
9 282×	`lower-fma.f64`
4 960×	`lower-*.f32`
4 948×	`lower-*.f64`
2 412×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	366
0	58	307
1	103	306
2	197	306
3	597	302
4	3987	300
0	8500	288

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (1.6%)

Memory

25.5MiB live, 100.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
accuracy	0.16244125976844204	(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))
accuracy	0.4249497937413543	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)))
accuracy	27.828779963046944	(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))
accuracy	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	0.46883365190509124	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	58.26524673085106	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.75577072131184	#s(approx (- (exp x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
accuracy	0.02734375	(.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)
accuracy	0.4249497937413543	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))
accuracy	1.3864104425235488	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)
accuracy	0.01953125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.01953125	(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
accuracy	0.4249497937413543	#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x))

Samples

61.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 306 to 32 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 20.0ms (44% of total)

ival-add: 11.0ms (24.2% of total)

const: 6.0ms (13.2% of total)

ival-div: 2.0ms (4.4% of total)

ival-exp: 2.0ms (4.4% of total)

ival-sub: 2.0ms (4.4% of total)

ival-expm1: 2.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory

-17.2MiB live, 20.5MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) (patch #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) (patch #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) (patch #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) (patch #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/6 x))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* x (+ 1/6 (* 1/24 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* 1/6 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x)) (patch #s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x)) (patch #s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x)) (patch #s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x)) (patch #s(approx (- (exp x) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify191.0ms (3.8%)

Memory

27.6MiB live, 176.8MiB allocated

Algorithm

1×	egg-herbie

Rules

20 392×	`lower-fma.f64`
20 392×	`lower-fma.f32`
4 178×	`lower-*.f64`
4 178×	`lower-*.f32`
4 108×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	1908
1	567	1899
2	1621	1887
3	4972	1850
0	8615	1600

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 243

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)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* 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)))))))
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))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* 1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) 1))
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 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* 1/6 x)))
(* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))
(* (pow x 4) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (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)))))
(* 1/24 (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)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (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))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 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)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 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 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))) (/ 1 (pow x 3))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* 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)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(* 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)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) 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 (/ (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/6) x))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) 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)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* 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
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
x
(* 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))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #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 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #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
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
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(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(neg.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(*.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* 1/24 (pow x 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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 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 (/ (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(* 1/576 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/72 binary64) (.f64 x x)) #s(literal 1/576 binary64)) (/.f64 #s(literal 1/72 binary64) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 #s(literal -1/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(* 1/576 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/72 binary64) (.f64 x x)) #s(literal 1/576 binary64)) (/.f64 #s(literal 1/72 binary64) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 #s(literal -1/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x)) x)) (pow.f64 x #s(literal 8 binary64)))

rewrite264.0ms (5.3%)

Memory

-8.4MiB live, 272.0MiB allocated

Rules

5 866×	`lower-fma.f32`
5 852×	`lower-fma.f64`
4 570×	`lower-/.f32`
4 568×	`lower-/.f64`
3 890×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	316
0	58	238
1	237	238
2	1824	238
0	8259	227

Stop Event

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

Counts

21 → 755

Calls

Call 1

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

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

eval256.0ms (5.1%)

Memory: 15.0MiB live, 352.6MiB allocated
Compiler: Compiled 61 577 to 4 401 computations (92.9% saved)

prune40.0ms (0.8%)

Memory

-16.2MiB live, 79.0MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	1 408	4	1 412
Fresh	1	2	3
Picked	1	4	5
Done	0	4	4
Total	1 410	14	1 424

Accuracy

100.0%

Counts

1 424 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.9%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	7.6%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	7.3%	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	5.2%	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 x)
✓	99.1%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x))
▶	99.1%	#s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (*.f64 x 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)))) x #s(literal 1/2 binary64)) x) x x))
✓	98.5%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
	55.6%	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))
▶	55.6%	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)))
▶	99.0%	#s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
✓	99.0%	#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))
✓	98.8%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	97.5%	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 347 to 198 computations (42.9% saved)

simplify149.0ms (3%)

Memory

4.9MiB live, 120.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (*.f64 x x))
cost-diff	0	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)))
cost-diff	128	(-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)
cost-diff	320	(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) 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 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
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	(fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (*.f64 x 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)))) x #s(literal 1/2 binary64)) x) x x)
cost-diff	0	#s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (*.f64 x 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)))) x #s(literal 1/2 binary64)) x) x x))
cost-diff	128	(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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))))
cost-diff	1088	(fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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)))) x #s(literal 1/2 binary64))

Rules

12 438×	`lower-fma.f32`
12 420×	`lower-fma.f64`
5 204×	`lower-+.f32`
5 202×	`lower-+.f64`
3 492×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	540
0	83	540
1	142	530
2	266	530
3	885	522
4	4491	500
0	8129	477

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (2.5%)

Memory

31.9MiB live, 141.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15853500976844204	(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))
accuracy	0.25234367029921523	#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)))
accuracy	1.1332276437972748	#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
accuracy	27.824873713046944	(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))
accuracy	0.015625	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
accuracy	0.01953125	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.25234367029921523	#s(approx (- (exp x) 1) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
accuracy	0	(fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.2900110068681806	#s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	1.1566651314883418	#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
accuracy	58.26134048085106	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.5957251879771784	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	58.26134048085106	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	0.04296875	(/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
accuracy	0.146816259768442	(.f64 #s(literal 1/576 binary64) (.f64 x x))
accuracy	0.20121005861065208	(/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
accuracy	0.25234367029921523	#s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (*.f64 x 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)))) x #s(literal 1/2 binary64)) x) x x))

Samples

89.0ms	254×	0	valid
4.0ms	2×	5	exit

Compiler

Compiled 461 to 43 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 27.0ms (38.1% of total)

const: 15.0ms (21.1% of total)

ival-add: 12.0ms (16.9% of total)

ival-div: 8.0ms (11.3% of total)

ival-sub: 3.0ms (4.2% of total)

ival-exp: 2.0ms (2.8% of total)

ival-expm1: 2.0ms (2.8% of total)

adjust: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (1.2%)

Memory

-24.9MiB live, 22.3MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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)))) x #s(literal 1/2 binary64)) (patch (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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)))) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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)))) (patch (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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)))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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)))) x #s(literal 1/2 binary64)) x) x x)) (patch #s(approx (- (exp x) 1) (fma.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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)))) x #s(literal 1/2 binary64)) x) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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)))) x #s(literal 1/2 binary64)) x) x x) (patch (fma.f64 (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x 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)))) x #s(literal 1/2 binary64)) x) x x) #<representation binary64>) () ())
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#s(alt (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)) (patch (/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 x x)) (-.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 (* x (- (* -1 (/ (+ 1/6 (* 2/3 (/ 1 x))) x)) 1/24))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (patch (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1/6 (+ (* 2/3 (/ 1 x)) (/ 8/3 (pow x 2)))) x)) 1/24))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (patch (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/576 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/576 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/576 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/576 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/576 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2/3 (* 8/3 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 8/3 (* 32/3 (/ 1 x))) x)) 2/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 8/3 (+ (* 32/3 (/ 1 x)) (/ 128/3 (pow x 2)))) x)) 2/3) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/24 x) (taylor -inf x) (#s(alt #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/24 (* 1/6 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/576 (pow x 8)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (patch (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (patch (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (patch (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (patch (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

40.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify166.0ms (3.3%)

Memory

-3.6MiB live, 187.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 438×	`lower-fma.f64`
12 438×	`lower-fma.f32`
4 976×	`lower-*.f64`
4 976×	`lower-*.f32`
3 052×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	2306
1	920	2281
2	2517	2256
3	7592	2253
0	8278	1977

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 302

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 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)))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
x
(* 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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
x
(* 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 (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
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 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* 1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) 1))
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 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1))
(* -1/96 (pow x 2))
(* (pow x 2) (- (* -1/384 x) 1/96))
(* (pow x 2) (- (* x (- (* -1/1536 x) 1/384)) 1/96))
(* (pow x 2) (- (* x (- (* x (- (* -1/6144 x) 1/1536)) 1/384)) 1/96))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
-1/6
(- (* -1/24 x) 1/6)
(- (* x (- (* -1/96 x) 1/24)) 1/6)
(- (* x (- (* x (- (* -1/384 x) 1/96)) 1/24)) 1/6)
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* 1/6 x)))
(* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))
(* (pow x 4) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 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)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (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))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 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)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ 24 (pow x 3))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (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))))))
(* 1/24 (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 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (- (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))) (/ 1 (pow x 3))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))
(* x (+ 1/24 (+ (/ 2/3 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))))))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(/ 2/3 x)
(/ (+ 2/3 (* 8/3 (/ 1 x))) x)
(/ (+ 2/3 (+ (* 8/3 (/ 1 x)) (/ 32/3 (pow x 2)))) x)
(/ (+ 2/3 (+ (* 8/3 (/ 1 x)) (+ (* 128/3 (/ 1 (pow x 3))) (/ 32/3 (pow x 2))))) x)
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(* 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)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ 24 (pow x 3))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 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 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) 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 (/ (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/6) x))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/6 (* 2/3 (/ 1 x))) x)) 1/24)))
(* -1 (* x (- (* -1 (/ (+ 1/6 (+ (* 2/3 (/ 1 x)) (/ 8/3 (pow x 2)))) x)) 1/24)))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(/ 2/3 x)
(/ (+ 2/3 (* 8/3 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 8/3 (* 32/3 (/ 1 x))) x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (+ 8/3 (+ (* 32/3 (/ 1 x)) (/ 128/3 (pow x 2)))) x)) 2/3) x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/576 (pow x 8))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(+ 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))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #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)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #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)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #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
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #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
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #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)
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #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
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #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 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #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 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* 1/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/4 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (*.f64 (neg.f64 x) x))
(* -1/96 (pow x 2))
(.f64 #s(literal -1/96 binary64) (.f64 x x))
(* (pow x 2) (- (* -1/384 x) 1/96))
(.f64 (.f64 (fma.f64 #s(literal -1/384 binary64) x #s(literal -1/96 binary64)) x) x)
(* (pow x 2) (- (* x (- (* -1/1536 x) 1/384)) 1/96))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/1536 binary64) x #s(literal -1/384 binary64)) x #s(literal -1/96 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -1/6144 x) 1/1536)) 1/384)) 1/96))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6144 binary64) x #s(literal -1/1536 binary64)) x #s(literal -1/384 binary64)) x #s(literal -1/96 binary64)) x) x)
(* 1/576 (pow x 2))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(* 1/576 (pow x 2))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(* 1/576 (pow x 2))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(* 1/576 (pow x 2))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
-1/6
#s(literal -1/6 binary64)
(- (* -1/24 x) 1/6)
(fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))
(- (* x (- (* -1/96 x) 1/24)) 1/6)
(fma.f64 (fma.f64 #s(literal -1/96 binary64) x #s(literal -1/24 binary64)) x #s(literal -1/6 binary64))
(- (* x (- (* x (- (* -1/384 x) 1/96)) 1/24)) 1/6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/384 binary64) x #s(literal -1/96 binary64)) x #s(literal -1/24 binary64)) x #s(literal -1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(+ 1/6 (* 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))
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))
(+ 1/6 (* 1/24 x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* 1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(* (pow x 4) (+ 1/4 (* 1/6 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 5/72 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/72 binary64) x #s(literal 5/72 binary64)) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 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))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
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(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(* 1/576 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/72 binary64) (.f64 x x)) #s(literal 1/576 binary64)) (/.f64 #s(literal 1/72 binary64) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 #s(literal -1/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x)) x)) (pow.f64 x #s(literal 8 binary64)))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/6 (* 2/3 (/ 1 x))) x)) 1/24)))
(*.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal 1/6 binary64)) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ 1/6 (+ (* 2/3 (/ 1 x)) (/ 8/3 (pow x 2)))) x)) 1/24)))
(*.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) x) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 2/3 binary64) x)) x)) (neg.f64 x))
(* 1/576 (pow x 2))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(* 1/576 (pow x 2))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(* 1/576 (pow x 2))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(* 1/576 (pow x 2))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ (+ 2/3 (* 8/3 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) x) #s(literal 2/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 8/3 (* 32/3 (/ 1 x))) x)) 2/3) x))
(/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -32/3 binary64) x) #s(literal -8/3 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 8/3 (+ (* 32/3 (/ 1 x)) (/ 128/3 (pow x 2)))) x)) 2/3) x))
(/.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -128/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -32/3 binary64) x) #s(literal -8/3 binary64))) x)) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 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 (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* 1/576 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64))
(* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/72 binary64) (.f64 x x)) #s(literal 1/576 binary64)) (/.f64 #s(literal 1/72 binary64) x)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 #s(literal -1/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x)) x)) (pow.f64 x #s(literal 8 binary64)))

rewrite231.0ms (4.6%)

Memory

30.4MiB live, 348.9MiB allocated

Rules

5 440×	`lower-*.f32`
5 426×	`lower-*.f64`
4 914×	`lower-fma.f32`
4 898×	`lower-fma.f64`
3 594×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	417
0	83	417
1	366	347
2	3107	347
0	8640	336

Stop Event

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

Counts

26 → 742

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x #s(literal 1/36 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/191102976 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/46656 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x #s(literal 1/36 binary64))))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x #s(literal 1/36 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/191102976 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/46656 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (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))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal -1/144 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) #s(literal 1/576 binary64) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.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))))
(fma.f64 (.f64 x #s(literal 1/576 binary64)) (.f64 x (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 #s(literal -1/36 binary64) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 #s(literal -1/576 binary64) (.f64 x x)) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 #s(literal -1 binary64) (/.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)))))
(fma.f64 #s(literal 1 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))))
(fma.f64 #s(literal 1/36 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 (.f64 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))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/576 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))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/576 binary64) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/576 binary64) (*.f64 x (/.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))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x #s(literal 1/36 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 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x #s(literal 1/36 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -3 binary64)) (.f64 #s(literal 1/191102976 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x #s(literal 1/36 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 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -2 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/576 binary64)) x #s(literal 1/36 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x #s(literal 1/576 binary64)) (.f64 x (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 #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 #s(literal 1/24 binary64) x) #s(literal -1/6 binary64))
(-.f64 (.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))))
(+.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 1/24 binary64) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))
(+.f64 (.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(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)
(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 x x))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x x)) (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 x x))
(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x x)))
(.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 x) 1/6) #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)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x x))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)))
(.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))

eval235.0ms (4.7%)

Memory: -21.3MiB live, 489.4MiB allocated
Compiler: Compiled 50 594 to 5 032 computations (90.1% saved)

prune29.0ms (0.6%)

Memory

8.3MiB live, 93.8MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 351	1	1 352
Fresh	1	0	1
Picked	3	2	5
Done	2	6	8
Total	1 357	9	1 366

Accuracy

100.0%

Counts

1 366 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.9%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	7.6%	(-.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	7.3%	(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	5.2%	(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 x)
✓	98.5%	#s(approx (- (exp x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
	99.1%	#s(approx (- (exp x) 1) (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))))
✓	98.8%	#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	97.5%	#s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 350 to 141 computations (59.7% saved)

regimes17.0ms (0.3%)

Memory

6.1MiB live, 45.2MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs
(expm1.f64 x)

Calls

3 calls:

11.0ms	x
3.0ms	(exp.f64 x)
3.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes16.0ms (0.3%)

Memory

2.0MiB live, 41.1MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
99.1%	1	`(exp.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes14.0ms (0.3%)

Memory

-17.4MiB live, 21.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
2.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
99.0%	1	`(exp.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes11.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
2.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
98.8%	1	`(exp.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
2.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
98.5%	1	`(exp.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-28.0MiB live, 12.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
98.5%	1	`(exp.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
5.2%	1	`(exp.f64 x)`

Compiler

Compiled 7 to 7 computations (0% saved)

simplify31.0ms (0.6%)

Memory

-11.0MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`
4×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	113
1	52	113
2	56	113
3	59	113
4	62	113
5	65	113

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness653.0ms (13.1%)

Memory

20.1MiB live, 243.1MiB allocated

Rules

15 406×	`lower-fma.f64`
15 406×	`lower-fma.f32`
12 438×	`lower-fma.f64`
12 438×	`lower-fma.f32`
5 330×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	77	108
2	168	108
3	371	108
4	587	108
5	720	108
6	725	108
0	725	81
0	308	2306
1	920	2281
2	2517	2256
3	7592	2253
0	8278	1977
0	89	1114
1	312	1106
2	868	1098
3	3280	1094
4	5712	1094
0	8397	862
0	22	111
0	38	111
1	150	111
2	1092	111
0	8428	111
0	4	6
0	6	6
1	24	6
2	130	6
0	1143	4

Stop Event

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

Compiler

Compiled 148 to 104 computations (29.7% saved)

preprocess166.0ms (3.3%)

Memory: -13.8MiB live, 110.1MiB allocated
Compiler: Compiled 130 to 78 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	11
1	17	11
2	35	10
3	54	10
4	70	10
5	90	10
6	108	10
7	123	10
8	135	10
9	137	10
0	4	4
0	6	4
1	11	4
2	12	4
0	12	2

Iter	Nodes	Cost
0	6	11
1	17	11
2	35	10
3	54	10
4	70	10
5	90	10
6	108	10
7	123	10
8	135	10
9	137	10
0	4	4
0	6	4
1	11	4
2	12	4
0	12	2

start0.0ms (0%)

analyze0.0ms (0%)

sample798.0ms (16%)

explain53.0ms (1.1%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize35.0ms (0.7%)

series1.0ms (0%)

simplify17.0ms (0.3%)

rewrite68.0ms (1.4%)

eval14.0ms (0.3%)

prune7.0ms (0.1%)

simplify22.0ms (0.4%)

localize274.0ms (5.5%)

series10.0ms (0.2%)

simplify139.0ms (2.8%)

rewrite190.0ms (3.8%)

eval120.0ms (2.4%)

prune20.0ms (0.4%)

simplify410.0ms (8.2%)

localize82.0ms (1.6%)

series19.0ms (0.4%)

simplify191.0ms (3.8%)

rewrite264.0ms (5.3%)

eval256.0ms (5.1%)

prune40.0ms (0.8%)

simplify149.0ms (3%)

localize126.0ms (2.5%)

series60.0ms (1.2%)

simplify166.0ms (3.3%)

rewrite231.0ms (4.6%)

eval235.0ms (4.7%)

prune29.0ms (0.6%)

regimes17.0ms (0.3%)

regimes16.0ms (0.3%)

regimes14.0ms (0.3%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

simplify31.0ms (0.6%)

soundness653.0ms (13.1%)

preprocess166.0ms (3.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	11
1	17	11
2	35	10
3	54	10
4	70	10
5	90	10
6	108	10
7	123	10
8	135	10
9	137	10
0	4	4
0	6	4
1	11	4
2	12	4
0	12	2