Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample583.0ms (7.7%)

Memory

-11.4MiB live, 590.4MiB allocated

Samples

357.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-expm1: 110.0ms (59.9% of total)

ival-div: 65.0ms (35.4% of total)

ival-true: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain142.0ms (1.9%)

Memory

0.6MiB live, 133.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	132	0

Confusion

	Predicted +	Predicted -
+	132	0
-	0	124

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	0	0	124

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 66 to 32 computations (51.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (31.9% of total)

ival-exp: 4.0ms (31.9% of total)

ival-expm1: 3.0ms (23.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess52.0ms (0.7%)

Memory

-1.8MiB live, 72.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify53.0ms (0.7%)

Memory

-9.1MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0.015625	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	30.132438977817696	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-div: 2.0ms (33.6% of total)

ival-exp: 2.0ms (33.6% of total)

ival-expm1: 2.0ms (33.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

3 → 14

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (exp x) 1) (/ (- (exp x) 1) x) (exp x))
1.0ms	x	@	inf	((- (exp x) 1) (/ (- (exp x) 1) x) (exp x))
0.0ms	x	@	0	((- (exp x) 1) (/ (- (exp x) 1) x) (exp x))

simplify343.0ms (4.5%)

Memory

7.9MiB live, 89.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	99
1	81	99
2	173	99
3	391	99
4	623	99
5	769	99
6	797	99
7	845	99
8	899	99
9	1593	99
10	4100	99
11	5151	99
12	5377	99
13	5511	99
14	5626	99
15	5632	99
16	5903	99
17	5903	99
18	6087	99
19	6158	99
20	6158	99
21	6366	99
22	6447	99
23	6447	99
0	6447	78

Stop Event

1×	iter limit
1×	saturated

Counts

14 → 13

Calls

Call 1

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

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

rewrite167.0ms (2.2%)

Memory

-8.8MiB live, 222.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8

Stop Event

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

Counts

3 → 496

Calls

Call 1

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

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

eval52.0ms (0.7%)

Memory: 25.3MiB live, 110.6MiB allocated
Compiler: Compiled 11 096 to 1 491 computations (86.6% saved)

prune13.0ms (0.2%)

Memory

-2.7MiB live, 34.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	502	7	509
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	503	7	510

Accuracy

100.0%

Counts

510 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.3%	(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) x x))
▶	100.0%	(/.f64 (expm1.f64 x) x)
	67.8%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
▶	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	62.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	52.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	52.4%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 166 to 128 computations (22.9% saved)

simplify134.0ms (1.8%)

Memory

-6.1MiB live, 81.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	98
0	33	98
1	53	98
2	74	98
3	139	98
4	211	98
5	250	98
6	270	98
7	314	98
8	375	98
9	780	98
10	1868	98
11	2282	98
12	2702	98
13	2975	98
14	3059	98
15	3128	98
16	3142	98
17	3142	98
0	3142	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize201.0ms (2.7%)

Memory

-13.2MiB live, 102.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(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	0.07421875	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.16796875	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	21.548245952670545	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.0859375	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.171875	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	23.75765894051923	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	30.309116733868592	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
accuracy	30.48237321511596	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0	(expm1.f64 x)
accuracy	0.015625	(/.f64 (expm1.f64 x) x)

Samples

188.0ms

256×

valid

Compiler

Compiled 202 to 42 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

const: 153.0ms (86.6% of total)

ival-add: 10.0ms (5.7% of total)

ival-mult: 9.0ms (5.1% of total)

ival-div: 2.0ms (1.1% of total)

ival-expm1: 2.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

12 → 33

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp 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	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp 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	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp 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))

Time

Variable

Point

Expression

2.0ms

inf

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

simplify200.0ms (2.6%)

Memory

-4.6MiB live, 149.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	233
1	225	229
2	609	221
3	1814	221
4	5019	221
5	7704	221
0	8659	181

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

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

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

rewrite217.0ms (2.9%)

Memory

14.9MiB live, 170.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
0	33	84
1	140	84
2	1025	84
0	8360	84

Stop Event

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

Counts

12 → 442

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(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) 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 (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 (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 x (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (expm1.f64 (.f64 x #s(literal 3 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 (expm1.f64 (.f64 x #s(literal 2 binary64))) x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 x #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 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (exp.f64 x) x) x)))))
(*.f64 (fma.f64 (exp.f64 x) x (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) x x)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (expm1.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (expm1.f64 x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (exp.f64 x) x) x)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) x (neg.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) (*.f64 x (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (fma.f64 (exp.f64 x) x x))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 x (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) x))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))) (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) x) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (exp.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 x (.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64))) (.f64 (/.f64 x (exp.f64 x)) x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 x)) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (exp.f64 x) x) x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) x x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (exp.f64 x) x (neg.f64 x)) (*.f64 x x))
(/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (fma.f64 (exp.f64 x) x x))
(/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (expm1.f64 x)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 x)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))) x))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 x (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (exp.f64 x) x) x))) (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (expm1.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) (expm1.f64 (.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (exp.f64 x) x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) x x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (expm1.f64 x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(fma.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 (exp.f64 x) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (exp.f64 x) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (exp.f64 x) x) x)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (exp.f64 x) x) x)))))
(-.f64 (/.f64 (.f64 (exp.f64 x) x) (.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) x x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 x (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (expm1.f64 x)) x))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(-.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)))) x) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 x)))
(+.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 x)) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 x) #s(literal 1 binary64)))
(.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (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 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
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(.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.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 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(/.f64 (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 #s(literal 1/576 binary64) (.f64 x x) (-.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 #s(literal 1/576 binary64) (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(/.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) (.f64 (.f64 x x) #s(literal 1/20736 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 #s(literal 1/576 binary64) (.f64 x x) (-.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 #s(literal 1/576 binary64) (.f64 x x) (-.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 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))
(/.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 #s(literal 1/576 binary64) (.f64 x x) (.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 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(/.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 #s(literal 1/576 binary64) (.f64 x x) (.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 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))
(/.f64 #s(literal 1 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 #s(literal 1/576 binary64) (.f64 x x) (.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 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))
(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 #s(literal 1/576 binary64) (.f64 x x) (-.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))

eval109.0ms (1.4%)

Memory: -12.0MiB live, 108.5MiB allocated
Compiler: Compiled 12 158 to 1 757 computations (85.5% saved)

prune30.0ms (0.4%)

Memory

0.0MiB live, 38.7MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	453	12	465
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	454	18	472

Accuracy

100.0%

Counts

472 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (fma.f64 (exp.f64 x) x x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	67.7%	(/.f64 #s(approx (- (exp x) 1) (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) x)) x)
▶	67.8%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
✓	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	62.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
	65.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
✓	52.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	16.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
▶	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
	13.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
	13.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.4%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 626 to 461 computations (26.4% saved)

simplify187.0ms (2.5%)

Memory

-26.0MiB live, 184.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(fma.f64 (exp.f64 x) x x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(expm1.f64 (*.f64 x #s(literal 2 binary64)))
cost-diff	7104	(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (fma.f64 (exp.f64 x) x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	265
0	62	249
1	101	249
2	168	249
3	372	245
4	897	245
5	1634	245
6	3254	245
7	6848	245
0	8304	231

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (2%)

Memory

32.0MiB live, 109.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	17.04516531490695	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.03125	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	17.11966752932945	#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	0.0859375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	0.21875	(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
accuracy	17.04516531490695	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
accuracy	32.11979467326004	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	17.320112719038274	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	32.83274008128536	#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(expm1.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0	(exp.f64 x)
accuracy	0.0078125	(fma.f64 (exp.f64 x) x x)
accuracy	0.611660009768442	(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (fma.f64 (exp.f64 x) x x))

Samples

45.0ms	201×	0	valid
12.0ms	55×	0	exit

Compiler

Compiled 483 to 76 computations (84.3% saved)

Precisions

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

ival-mult: 15.0ms (37% of total)

ival-add: 7.0ms (17.2% of total)

ival-div: 6.0ms (14.8% of total)

const: 6.0ms (14.8% of total)

ival-expm1: 3.0ms (7.4% of total)

ival-exp: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

-25.4MiB live, 13.0MiB allocated

Counts

23 → 64

Calls

Call 1

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

Outputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(* x (+ 2 x))
(* x (+ 2 (* x (+ 1 (* 1/2 x)))))
(* x (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
(* 1/2 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/6 x)
(* 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)))))))
1/6
(+ 1/6 (* 1/24 x))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
6
(+ 6 (* -3/2 x))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(- (exp (* 2 x)) 1)
(* x (+ 1 (exp x)))
(/ (- (exp x) 1) x)
(* x (+ 1/2 (/ 1 x)))
(* 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))))
(- (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 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(exp x)
(/ 24 x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(* -1 (/ (- (exp (* 2 x)) 1) (* x (- (* -1 (exp x)) 1))))
(* -1 (* x (- (* -1 (exp x)) 1)))
(* -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)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))

Calls

3 calls:

Time

Variable

Point

Expression

14.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

simplify166.0ms (2.2%)

Memory

0.4MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	546
1	550	537
2	1373	534
3	3854	512
0	8453	441

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(* x (+ 2 x))
(* x (+ 2 (* x (+ 1 (* 1/2 x)))))
(* x (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
(* 1/2 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/6 x)
(* 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)))))))
1/6
(+ 1/6 (* 1/24 x))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
6
(+ 6 (* -3/2 x))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(- (exp (* 2 x)) 1)
(* x (+ 1 (exp x)))
(/ (- (exp x) 1) x)
(* x (+ 1/2 (/ 1 x)))
(* 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))))
(- (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 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(exp x)
(/ 24 x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(* -1 (/ (- (exp (* 2 x)) 1) (* x (- (* -1 (exp x)) 1))))
(* -1 (* x (- (* -1 (exp x)) 1)))
(* -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)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(* -1 (/ (- (* 96 (/ 1 x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(* x (+ 2 (* x (+ 1 (* 1/2 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/24 x)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)
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)))))))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
1/2
#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 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))
6
#s(literal 6 binary64)
(+ 6 (* -3/2 x))
(fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64))
(+ 6 (* x (- (* 3/8 x) 3/2)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -3/2 binary64)) x #s(literal 6 binary64))
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/32 binary64) x #s(literal 3/8 binary64)) x #s(literal -3/2 binary64)) x #s(literal 6 binary64))
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) x x))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(* x (+ 1 (exp x)))
(fma.f64 (exp.f64 x) x x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.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)
(- (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 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.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)) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)
(exp x)
(exp.f64 x)
(/ 24 x)
(/.f64 #s(literal 24 binary64) x)
(/ (- 24 (* 96 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) x) #s(literal -24 binary64)) x)
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1536 binary64) x) #s(literal 384 binary64)) x)) x) #s(literal -24 binary64)) x)
(* -1 (/ (- (exp (* 2 x)) 1) (* x (- (* -1 (exp x)) 1))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) x x))
(* -1 (* x (- (* -1 (exp x)) 1)))
(fma.f64 (exp.f64 x) 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))
(* (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 (/ (- (* 96 (/ 1 x)) 24) x))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) x) #s(literal -24 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1536 binary64) x) #s(literal 384 binary64)) x)) x) #s(literal -24 binary64)) x)

rewrite273.0ms (3.6%)

Memory

7.3MiB live, 161.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	240
0	62	224
1	235	220
2	1367	220
0	8295	206

Stop Event

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

Counts

23 → 816

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) x x)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #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)) x))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) x (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) x) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 (expm1.f64 x) (pow.f64 (fma.f64 (exp.f64 x) x (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (/.f64 (expm1.f64 x) (pow.f64 (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) x (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) x) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (expm1.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 x) x))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) x))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) x) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 x)))
(.f64 (pow.f64 (/.f64 x (expm1.f64 (.f64 x #s(literal 3 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 (/.f64 (fma.f64 (exp.f64 x) x x) (expm1.f64 (.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 x) x x) (expm1.f64 (.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (expm1.f64 (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) x (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 (exp.f64 x) x (neg.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) x x)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 6 binary64))) (fma.f64 (exp.f64 x) x x)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (/.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 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(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)) (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 (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 (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 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) #s(literal -1 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 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.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 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #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 #s(literal 1/576 binary64) (.f64 x x) (-.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 #s(literal 1/576 binary64) (.f64 x x) #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 #s(literal 1/576 binary64) (.f64 x x) (-.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 (neg.f64 x) (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.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 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #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) (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 #s(literal -1 binary64) (/.f64 #s(literal -1 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)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 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 -1/24 binary64) x #s(literal 1/6 binary64)) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))))
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 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 (/.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) (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)) #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 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #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 (/.f64 (.f64 #s(literal 1/24 binary64) x) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (/.f64 (.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 0 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))

eval157.0ms (2.1%)

Memory: -3.8MiB live, 119.5MiB allocated
Compiler: Compiled 19 913 to 2 693 computations (86.5% saved)

prune55.0ms (0.7%)

Memory

18.4MiB live, 57.9MiB allocated

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	699	16	715
Fresh	3	5	8
Picked	1	4	5
Done	0	5	5
Total	703	30	733

Accuracy

100.0%

Counts

733 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	67.7%	(/.f64 #s(approx (- (exp x) 1) (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) x)) x)
	33.4%	(/.f64 #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))) x)
	67.7%	(/.f64 #s(approx (- (exp x) 1) (+.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)) x)
✓	67.8%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	67.6%	(.f64 (neg.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) x))
✓	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	52.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	65.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	65.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	62.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
✓	52.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	18.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
▶	16.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x (*.f64 #s(literal 1/6 binary64) x)) x)))
	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)))
▶	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)))
✓	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
	16.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
	13.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (*.f64 #s(literal 1/6 binary64) x)) x)))
▶	13.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	13.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
✓	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.4%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 327 to 903 computations (32% saved)

simplify149.0ms (2%)

Memory

8.6MiB live, 92.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff	320	(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
cost-diff	1088	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
cost-diff	0	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)))
cost-diff	1216	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
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	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fma.f64 (exp.f64 x) x x)
cost-diff	0	(expm1.f64 (+.f64 x x))
cost-diff	7104	(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	340
0	63	336
1	107	334
2	209	330
3	613	308
4	1615	305
5	3052	305
6	5253	305
0	8107	294

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (1.9%)

Memory

3.9MiB live, 81.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
accuracy	0.06640625	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	17.04516531490695	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	0.0703125	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	17.04516531490695	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)))
accuracy	32.11979467326004	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x))
accuracy	0.046875	(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	17.04516531490695	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
accuracy	32.04244315934103	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
accuracy	0.1484375	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	17.04516531490695	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
accuracy	17.863195332011397	#s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	32.11979467326004	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
accuracy	0	(expm1.f64 (+.f64 x x))
accuracy	0	(exp.f64 x)
accuracy	0.0078125	(fma.f64 (exp.f64 x) x x)
accuracy	0.611660009768442	(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))

Samples

106.0ms	201×	0	valid
13.0ms	55×	0	exit

Compiler

Compiled 596 to 79 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 39.0ms (52.1% of total)

ival-mult: 14.0ms (18.7% of total)

ival-add: 8.0ms (10.7% of total)

const: 6.0ms (8% of total)

ival-expm1: 3.0ms (4% of total)

ival-exp: 2.0ms (2.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

-25.1MiB live, 13.7MiB allocated

Counts

22 → 60

Calls

Call 1

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

Outputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(* x (+ 2 x))
(* x (+ 2 (* x (+ 1 (* 1/2 x)))))
(* x (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 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))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* -1/6 x)
(* x (- (* -1/24 x) 1/6))
1/6
(+ 1/6 (* 1/24 x))
-6
(- (* 3/2 x) 6)
(- (* x (+ 3/2 (* -3/8 x))) 6)
(- (* x (+ 3/2 (* x (- (* 3/32 x) 3/8)))) 6)
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(- (exp (* 2 x)) 1)
(* x (+ 1 (exp x)))
(exp x)
(/ (- (exp x) 1) x)
(* 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)))))
(* -1/24 (pow x 2))
(* -1 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(/ -24 x)
(/ (- (* 96 (/ 1 x)) 24) x)
(/ (- (* 96 (/ 1 x)) (+ 24 (/ 384 (pow x 2)))) x)
(/ (- (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3)))) (+ 24 (/ 384 (pow x 2)))) x)
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(- (exp (neg (* -2 x))) 1)
(* -1 (* x (- (* -1 (exp x)) 1)))
(* -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 (* 96 (/ 1 x))) x))
(* -1 (/ (+ 24 (* -1 (/ (- 96 (* 384 (/ 1 x))) x))) x))
(* -1 (/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (- 384 (* 1536 (/ 1 x))) x))) x))) x))

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

inf

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

3.0ms

-inf

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

1.0ms

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

simplify149.0ms (2%)

Memory

6.0MiB live, 123.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	471
1	525	463
2	1343	461
3	3855	458
0	8264	391

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(* x (+ 2 x))
(* x (+ 2 (* x (+ 1 (* 1/2 x)))))
(* x (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 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))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* -1/6 x)
(* x (- (* -1/24 x) 1/6))
1/6
(+ 1/6 (* 1/24 x))
-6
(- (* 3/2 x) 6)
(- (* x (+ 3/2 (* -3/8 x))) 6)
(- (* x (+ 3/2 (* x (- (* 3/32 x) 3/8)))) 6)
(/ (- (exp (* 2 x)) 1) (* x (+ 1 (exp x))))
(- (exp (* 2 x)) 1)
(* x (+ 1 (exp x)))
(exp x)
(/ (- (exp x) 1) x)
(* 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)))))
(* -1/24 (pow x 2))
(* -1 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(/ -24 x)
(/ (- (* 96 (/ 1 x)) 24) x)
(/ (- (* 96 (/ 1 x)) (+ 24 (/ 384 (pow x 2)))) x)
(/ (- (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3)))) (+ 24 (/ 384 (pow x 2)))) x)
(* -1 (/ (- (exp (neg (* -2 x))) 1) (* x (- (* -1 (exp x)) 1))))
(- (exp (neg (* -2 x))) 1)
(* -1 (* x (- (* -1 (exp x)) 1)))
(* -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 (* 96 (/ 1 x))) x))
(* -1 (/ (+ 24 (* -1 (/ (- 96 (* 384 (/ 1 x))) x))) x))
(* -1 (/ (+ 24 (* -1 (/ (+ 96 (* -1 (/ (- 384 (* 1536 (/ 1 x))) x))) x))) x))

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

rewrite100.0ms (1.3%)

Memory

-14.3MiB live, 70.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	301
0	63	297
1	233	266
0	1796	256

Stop Event

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

Counts

22 → 326

Calls

Call 1

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

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 (exp.f64 x) x (neg.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (expm1.f64 x))
(.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) x x))))
(*.f64 (expm1.f64 x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) x))) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x))) (.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (fma.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) x x))))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) x))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) x x))
(/.f64 (.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) x x)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) x x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) (.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (.f64 (fma.f64 (exp.f64 x) x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (exp.f64 x) x x) (fma.f64 (exp.f64 x) x x)))
(/.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) x))) (.f64 (fma.f64 (exp.f64 x) x x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) x x) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) x x))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (fma.f64 (exp.f64 x) x x)))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (fma.f64 (exp.f64 x) x x))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 (exp.f64 x) x (neg.f64 x)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) x) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (fma.f64 (exp.f64 x) x x)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(fma.f64 (exp.f64 x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x x)) (neg.f64 (pow.f64 (fma.f64 (exp.f64 x) x x) #s(literal -1 binary64))))
(.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 x))
(.f64 (expm1.f64 (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)
(.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) x (neg.f64 x))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (exp.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (exp.f64 x) x (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (exp.f64 x) x (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 x) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) x (neg.f64 x)) (-.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (exp.f64 x) x)) (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (exp.f64 x) x))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (exp.f64 x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (exp.f64 x) x))
(fma.f64 (exp.f64 x) x x)
(fma.f64 x (exp.f64 x) x)
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 x) x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) x (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (exp.f64 x) x (neg.f64 x))))
(+.f64 (*.f64 (exp.f64 x) x) x)
(+.f64 x (*.f64 (exp.f64 x) x))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(.f64 (.f64 (fma.f64 (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 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 x #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)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))
(.f64 x (.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)))
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(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (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))))
(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 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))
(neg.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))

eval117.0ms (1.5%)

Memory: 29.5MiB live, 103.2MiB allocated
Compiler: Compiled 11 833 to 1 578 computations (86.7% saved)

prune98.0ms (1.3%)

Memory

-32.4MiB live, 58.5MiB allocated

Pruning

34 alts after pruning (20 fresh and 14 done)

	Pruned	Kept	Total
New	397	10	407
Fresh	6	10	16
Picked	0	5	5
Done	0	9	9
Total	403	34	437

Accuracy

100.0%

Counts

437 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.3%	(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	67.7%	(/.f64 #s(approx (- (exp x) 1) (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) x)) x)
	33.4%	(/.f64 #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))) x)
	67.7%	(/.f64 #s(approx (- (exp x) 1) (+.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)) x)
✓	67.8%	(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	67.6%	(.f64 (neg.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) x))
✓	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	52.5%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	62.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	65.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ -1 (+ (* 1/24 x) 1/6)) (/.f64 (-.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	66.3%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
✓	52.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	16.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))))
	18.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
✓	16.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
	16.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x #s(literal 1/2 binary64)) x)))
	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x (*.f64 #s(literal 1/6 binary64) x)) x)))
	13.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)))
✓	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)))
	4.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x)))
	4.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x)))
	16.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (/.f64 (-.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x))) x)))
	16.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (/.f64 #s(literal -24 binary64) x))) x)))
✓	17.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
	13.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (/ (neg x) (/ -1 (+ ( 1/24 x) 1/6))) (*.f64 #s(literal 1/6 binary64) x)) x)))
	16.5%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
✓	13.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
✓	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.4%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 2 131 to 878 computations (58.8% saved)

regimes26.0ms (0.3%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (*.f64 #s(literal 1/6 binary64) x)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (/ (neg x) (/ -1 (+ ( 1/24 x) 1/6))) (*.f64 #s(literal 1/6 binary64) x)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x (*.f64 #s(literal 1/6 binary64) x)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (/.f64 #s(literal -24 binary64) x))) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (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) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x)))
(/.f64 #s(approx (- (exp x) 1) (+.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)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (neg.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (/.f64 (-.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ -1 (+ (* 1/24 x) 1/6)) (/.f64 (-.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #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))) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) x x))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) x x))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (fma.f64 (exp.f64 x) x x))

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

Calls

2 calls:

13.0ms	x
11.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes42.0ms (0.6%)

Memory

-5.9MiB live, 33.2MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(approx (* (* (+ (* 1/24 x) 1/6) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (*.f64 #s(literal 1/6 binary64) x)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (/ (neg x) (/ -1 (+ ( 1/24 x) 1/6))) (*.f64 #s(literal 1/6 binary64) x)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x (*.f64 #s(literal 1/6 binary64) x)) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (/.f64 #s(literal -24 binary64) x))) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (fma.f64 #s(literal -3/2 binary64) x #s(literal 6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
(/.f64 #s(approx (- (exp x) 1) (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) x)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x)))
(/.f64 #s(approx (- (exp x) 1) (+.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)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(.f64 (neg.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (/.f64 (-.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x))) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)))) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64)))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ -1 (+ (* 1/24 x) 1/6)) (/.f64 (-.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/24 x) 1/6)) (/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #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))) x)

Outputs

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

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

Calls

2 calls:

28.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
12.0ms	x

Results

Accuracy	Segments	Branch
69.7%	2	`x`
67.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes52.0ms (0.7%)

Memory

-15.1MiB live, 24.2MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
8.0ms	x

Results

Accuracy	Segments	Branch
67.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
67.8%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes14.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
66.3%	1	`x`
66.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes35.0ms (0.5%)

Memory

-21.4MiB live, 18.1MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
65.1%	1	`x`
65.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes10.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
66.6%	2	`x`
66.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
66.6%	2	`x`
66.6%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes54.0ms (0.7%)

Memory

-28.8MiB live, 13.0MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
4.0ms	x

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
62.4%	2	`x`
62.4%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
62.4%	2	`x`
62.4%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes29.0ms (0.4%)

Memory

-33.1MiB live, 6.4MiB allocated

Accuracy

Total -31.5b remaining (-103.4%)

Threshold costs -31.5b (-103.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms	x

Results

Accuracy	Segments	Branch
52.4%	1	`x`
52.4%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch13.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-1661153.2053485292	-0.004843588270244723

Samples

5.0ms

144×

valid

Compiler

Compiled 576 to 412 computations (28.5% saved)

Precisions

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

ival-div: 1.0ms (36.5% of total)

ival-expm1: 1.0ms (36.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0002655609568356	243.12705804139682

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0002655609568356	243.12705804139682

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0002655609568356	243.12705804139682

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0002655609568356	243.12705804139682

Compiler

Compiled 9 to 9 computations (0% saved)

simplify47.0ms (0.6%)

Memory

4.0MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	355
1	96	355
2	109	355
3	125	355
4	130	355
5	132	355

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal -8782019273372467/4503599627370496 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (neg.f64 x) #s(approx (/ -1 (+ ( 1/24 x) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal -6 binary64)))) x))) (/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x))
(/.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) x))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx ( (+ (* 1/24 x) 1/6) x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) #s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

soundness3.0s (39.8%)

Memory

26.5MiB live, 893.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	471
1	525	463
2	1343	461
3	3855	458
0	8264	391
0	168	546
1	550	537
2	1373	534
3	3854	512
0	8453	441
0	40	240
0	62	224
1	235	220
2	1367	220
0	8295	206
0	5	12
0	8	12
1	35	12
2	220	12
3	2299	12
0	8893	8
0	67	233
1	225	229
2	609	221
3	1814	221
4	5019	221
5	7704	221
0	8659	181
0	26	99
1	81	99
2	173	99
3	391	99
4	623	99
5	769	99
6	797	99
7	845	99
8	899	99
9	1593	99
10	4100	99
11	5151	99
12	5377	99
13	5511	99
14	5626	99
15	5632	99
16	5903	99
17	5903	99
18	6087	99
19	6158	99
20	6158	99
21	6366	99
22	6447	99
23	6447	99
0	6447	78

Stop Event

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

Compiler

Compiled 514 to 219 computations (57.4% saved)

preprocess98.0ms (1.3%)

Memory: -20.7MiB live, 175.6MiB allocated
Compiler: Compiled 766 to 200 computations (73.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10

start0.0ms (0%)

analyze1.0ms (0%)

sample583.0ms (7.7%)

explain142.0ms (1.9%)

preprocess52.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify53.0ms (0.7%)

localize16.0ms (0.2%)

series2.0ms (0%)

simplify343.0ms (4.5%)

rewrite167.0ms (2.2%)

eval52.0ms (0.7%)

prune13.0ms (0.2%)

simplify134.0ms (1.8%)

localize201.0ms (2.7%)

series5.0ms (0.1%)

simplify200.0ms (2.6%)

rewrite217.0ms (2.9%)

eval109.0ms (1.4%)

prune30.0ms (0.4%)

simplify187.0ms (2.5%)

localize153.0ms (2%)

series20.0ms (0.3%)

simplify166.0ms (2.2%)

rewrite273.0ms (3.6%)

eval157.0ms (2.1%)

prune55.0ms (0.7%)

simplify149.0ms (2%)

localize142.0ms (1.9%)

series22.0ms (0.3%)

simplify149.0ms (2%)

rewrite100.0ms (1.3%)

eval117.0ms (1.5%)

prune98.0ms (1.3%)

regimes26.0ms (0.3%)

regimes42.0ms (0.6%)

regimes52.0ms (0.7%)

regimes14.0ms (0.2%)

regimes35.0ms (0.5%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes54.0ms (0.7%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes29.0ms (0.4%)

bsearch13.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify47.0ms (0.6%)

soundness3.0s (39.8%)

preprocess98.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
0	5	6
0	8	6
1	16	6
2	19	6
3	25	6
4	34	6
5	46	6
6	66	6
7	110	6
8	173	6
9	321	6
10	475	6
11	569	6
12	636	6
13	844	6
14	851	6
15	852	6
0	852	4

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	173	14
9	321	14
10	475	14
11	569	14
12	636	14
13	844	14
14	851	14
15	852	14
0	852	10