Metrics for Kahan's exp quotient

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

sample675.0ms (9%)

Memory

-4.5MiB live, 397.0MiB allocated

Samples

422.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 290.0ms

ival-div: 168.0ms (57.9% of total)

ival-expm1: 113.0ms (38.9% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain74.0ms (1%)

Memory

12.4MiB live, 50.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
122	-	-	`(-.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	122	0

Confusion

	Predicted +	Predicted -
+	122	0
-	0	134

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	0
-	0	0	134

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

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

ival-div: 4.0ms (33.2% of total)

ival-exp: 4.0ms (33.2% of total)

ival-expm1: 3.0ms (24.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess77.0ms (1%)

Memory

-22.5MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	213	14
4	529	14
5	701	14
6	822	14
7	873	14
8	874	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	176	6
9	334	6
10	489	6
11	581	6
12	648	6
13	862	6
14	869	6
15	870	6
0	870	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify23.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	16	14
2	19	14
3	25	14
4	34	14
5	46	14
6	66	14
7	110	14
8	176	14
9	334	14
10	489	14
11	581	14
12	648	14
13	862	14
14	869	14
15	870	14
0	870	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)

localize15.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
accuracy	27.301606158465432	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-div: 2.0ms (34.3% of total)

ival-exp: 2.0ms (34.3% of total)

ival-expm1: 2.0ms (34.3% 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

1.4MiB live, 1.4MiB 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))

simplify319.0ms (4.2%)

Memory

9.4MiB live, 52.2MiB 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	902	99
9	1606	99
10	4489	99
11	5635	99
12	5861	99
13	5991	99
14	6106	99
15	6112	99
16	6385	99
17	6385	99
18	6569	99
19	6661	99
20	6661	99
21	6869	99
22	6950	99
23	6950	99
0	6950	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)

rewrite240.0ms (3.2%)

Memory

-2.4MiB live, 106.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	35	12
2	220	12
3	2304	12
0	8954	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 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 (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 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 (/.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)))
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) x) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) x) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (neg.f64 (expm1.f64 x)) x))
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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 -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)

eval119.0ms (1.6%)

Memory: -26.2MiB live, 61.2MiB allocated
Compiler: Compiled 11 096 to 1 491 computations (86.6% saved)

prune23.0ms (0.3%)

Memory

-1.8MiB live, 36.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	501	8	509
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	502	8	510

Accuracy

100.0%

Counts

510 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
	68.0%	(/.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)
▶	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
▶	67.0%	#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)))
▶	63.7%	#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)))
	48.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	48.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 180 to 142 computations (21.1% saved)

simplify128.0ms (1.7%)

Memory

4.5MiB live, 85.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(expm1.f64 x)
cost-diff	0	(neg.f64 (expm1.f64 x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	3	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
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	#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	22	99
0	36	96
1	60	96
2	115	96
3	322	96
4	623	96
5	763	96
6	1149	96
7	2038	96
8	2686	96
9	3243	96
10	3557	96
11	3660	96
12	3729	96
13	3746	96
14	3746	96
0	3746	96

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

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

localize74.0ms (1%)

Memory

16.8MiB live, 93.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 (expm1.f64 x))
accuracy	0.0	(expm1.f64 x)
accuracy	0.06640625	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
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	0.0546875	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.19140625	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	21.13046819054682	#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	0.0546875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.1796875	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	23.246457297202138	#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	33.25004617405826	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
accuracy	0.0	(expm1.f64 x)
accuracy	0.0078125	(/.f64 (expm1.f64 x) x)

Samples

62.0ms

256×

valid

Compiler

Compiled 105 to 23 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 9.0ms (31.3% of total)

const: 6.0ms (20.9% of total)

ival-add: 5.0ms (17.4% of total)

ival-div: 4.0ms (13.9% of total)

ival-expm1: 2.0ms (7% of total)

ival-neg: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

13 → 38

Calls

Call 1

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

Outputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
1/6
(+ 1/6 (* 1/24 x))
(/ -1 x)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/6 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/24 x) 1/6)) 1/2)) 1))
(/ (- (exp x) 1) x)
(- (exp x) 1)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/24 (pow x 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 (/ (- 1 (exp x)) x))
(- 1 (exp 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
3.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* (/ -1 x) (neg (- (exp x) 1))) (/ -1 x) (neg (- (exp x) 1)))
2.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* (/ -1 x) (neg (- (exp x) 1))) (/ -1 x) (neg (- (exp x) 1)))
1.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) (* (/ -1 x) (neg (- (exp x) 1))) (/ -1 x) (neg (- (exp x) 1)))

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify129.0ms (1.7%)

Memory

-13.7MiB live, 184.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	273
1	264	273
2	693	261
3	2137	261
4	5411	261
0	8202	213

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

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

rewrite156.0ms (2.1%)

Memory

6.3MiB live, 286.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	84
0	36	81
1	141	81
2	1011	81
0	8612	81

Stop Event

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

Counts

13 → 701

Calls

Call 1

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

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

eval70.0ms (0.9%)

Memory: 16.4MiB live, 175.7MiB allocated
Compiler: Compiled 13 978 to 2 000 computations (85.7% saved)

prune42.0ms (0.6%)

Memory

-32.4MiB live, 94.7MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	607	12	619
Fresh	1	2	3
Picked	0	5	5
Done	0	0	0
Total	608	19	627

Accuracy

100.0%

Counts

627 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.1%	(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	68.0%	(/.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)
✓	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
▶	67.9%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (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)))
	47.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
✓	67.0%	#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)))
	67.0%	#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)))
	67.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	67.0%	#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) (neg.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	63.7%	#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)))
	67.0%	#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)))
	65.6%	#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)))
▶	48.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	21.4%	#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)))
▶	21.7%	#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))))
	18.4%	#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)))
	18.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	48.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 650 to 490 computations (24.6% saved)

simplify321.0ms (4.3%)

Memory

19.1MiB live, 176.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	285
0	68	285
1	105	284
2	183	282
3	405	282
4	937	282
5	1949	282
6	2393	282
7	3180	282
8	5108	282
9	6006	282
10	6445	282
11	6611	282
12	6716	282
13	6856	282
14	7020	282
15	7023	282
16	7026	282
17	7035	282
18	7047	282
19	7053	282
20	7249	282
21	7641	282
22	7745	282
23	7753	282
0	8114	269

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.9%)

Memory

-10.4MiB live, 189.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.06640625	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (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	0.19140625	(fma.f64 #s(literal -1/24 binary64) x #s(literal -1/6 binary64))
accuracy	20.512953658022237	#s(approx (neg (- (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	0.0	(-.f64 x #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
accuracy	27.301606158465432	(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy	32.67529454839717	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
accuracy	0.1484375	(.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (.f64 x x))
accuracy	0.19140625	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	21.13046819054682	#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))))
accuracy	29.38891175533233	#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)))
accuracy	0.0546875	(fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	23.246457297202138	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	33.373647174641576	#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
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	0.0546875	(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
accuracy	0.19140625	(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy	20.512953658022237	#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))

Samples

99.0ms

256×

valid

Compiler

Compiled 203 to 38 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 19.0ms (35.3% of total)

const: 13.0ms (24.2% of total)

ival-add: 10.0ms (18.6% of total)

ival-div: 4.0ms (7.4% of total)

ival-exp: 2.0ms (3.7% of total)

ival-expm1: 2.0ms (3.7% of total)

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

exact: 1.0ms (1.9% of total)

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

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

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

series7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

22 → 64

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

simplify218.0ms (2.9%)

Memory

-26.1MiB live, 129.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	497
1	374	486
2	1039	472
3	3031	470
4	7019	470
0	8243	393

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

rewrite276.0ms (3.7%)

Memory

33.1MiB live, 228.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	249
0	68	249
1	254	248
2	1781	248
0	8247	233

Stop Event

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

Counts

22 → 572

Calls

Call 1

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

Outputs
(.f64 (.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)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (neg.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)))) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.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)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(.f64 (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))
(.f64 (/.f64 #s(literal -1 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)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))))
(.f64 #s(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))) x))
(.f64 #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)) (neg.f64 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)) (pow.f64 x #s(literal -1 binary64)))
(.f64 #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))
(pow.f64 (/.f64 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))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.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)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (.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)) #s(literal 1 binary64)) x)
(/.f64 (neg.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)))) (neg.f64 (neg.f64 x)))
(/.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))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (.f64 x #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(literal 1 binary64) (/.f64 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)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 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))))
(neg.f64 (/.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))) x))
(neg.f64 (/.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)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 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)) (neg.f64 x)))
(-.f64 #s(literal 0 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))) x))
(-.f64 #s(literal 0 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)) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 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)))) #s(literal -1 binary64)))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(.f64 (.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (.f64 #s(literal 1 binary64) x)))))
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(-.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))

eval176.0ms (2.3%)

Memory: -16.5MiB live, 146.6MiB allocated
Compiler: Compiled 20 767 to 2 758 computations (86.7% saved)

prune93.0ms (1.2%)

Memory

-17.0MiB live, 67.6MiB allocated

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	639	21	660
Fresh	4	5	9
Picked	2	3	5
Done	0	5	5
Total	645	34	679

Accuracy

100.0%

Counts

679 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	(/.f64 (-.f64 #s(approx (exp x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) x)
	7.3%	(/.f64 (-.f64 #s(approx (exp x) (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) x)
	5.1%	(/.f64 (-.f64 #s(approx (exp x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) x)
✓	5.1%	(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
	19.5%	(/.f64 (-.f64 #s(approx (exp x) (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	68.0%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	66.6%	(/.f64 #s(approx (- (exp x) 1) (.f64 (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)) x)) x)
▶	3.3%	(.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x (neg.f64 (.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
✓	67.9%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (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)))
	67.9%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (.f64 (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)) x)))
	67.9%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
	66.5%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (.f64 (fma.f64 #s(approx (+ (* (+ (* -1/24 x) -1/6) x) -1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
▶	47.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
✓	67.0%	#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)))
	67.0%	#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)))
✓	63.7%	#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)))
	67.0%	#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)))
✓	48.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	21.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	22.7%	#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)))))
	21.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))))
	21.4%	#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)))
	21.7%	#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)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (*.f64 x x))))
	6.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (.f64 (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 x x))))
▶	21.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) (*.f64 x x))))
	21.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x))))
	21.7%	#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)))
	21.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))) (.f64 x x))))
	21.2%	#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) (.f64 #s(literal 1/24 binary64) x)) (.f64 x x))))
▶	18.6%	#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) #s(literal 1/6 binary64)) (*.f64 x x))))
	18.4%	#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)))
✓	48.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 579 to 1 100 computations (30.3% saved)

simplify128.0ms (1.7%)

Memory

38.2MiB live, 116.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	444
0	71	436
1	140	433
2	344	431
3	829	427
4	1989	427
5	3526	427
6	6284	427
0	8051	377

Stop Event

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

Calls

Call 1

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

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

localize325.0ms (4.3%)

Memory

-34.9MiB live, 209.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33203125	(*.f64 #s(literal 1/24 binary64) x)
accuracy	18.950325326845668	(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
accuracy	21.13046819054682	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) (*.f64 x x))))
accuracy	29.38891175533233	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) (*.f64 x x)))
accuracy	0.25392804197006297	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	13.325462291779612	(fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x (neg.f64 (*.f64 x #s(literal 1 binary64))))
accuracy	31.99885250130302	(.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x (neg.f64 (.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	32.67529454839717	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 x)
accuracy	0.06640625	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
accuracy	32.843285922133546	#s(approx (neg (- (exp x) 1)) (neg.f64 x))
accuracy	0.1484375	(.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	21.13046819054682	#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) #s(literal 1/6 binary64)) (*.f64 x x))))
accuracy	29.38891175533233	#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) (*.f64 x x)))
accuracy	33.3603515849569	#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
accuracy	0.15691376953688402	(.f64 #s(literal 1/576 binary64) (.f64 x x))
accuracy	0.33203125	(*.f64 #s(literal 1/24 binary64) x)
accuracy	18.950325326845668	(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))
accuracy	20.512953658022237	#s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Samples

139.0ms	43×	2	valid
43.0ms	143×	0	valid
41.0ms	70×	1	valid

Compiler

Compiled 299 to 42 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-add: 27.0ms (25.4% of total)

ival-mult: 26.0ms (24.5% of total)

const: 14.0ms (13.2% of total)

adjust: 10.0ms (9.4% of total)

ival-exp: 10.0ms (9.4% of total)

ival-div: 8.0ms (7.5% of total)

ival-sub: 5.0ms (4.7% of total)

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

ival-expm1: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

22 → 50

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify156.0ms (2.1%)

Memory

4.4MiB live, 124.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	353
1	317	353
2	841	353
3	2544	345
4	4627	345
5	7876	345
0	8458	284

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

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

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

rewrite190.0ms (2.5%)

Memory

-15.8MiB live, 218.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	300
0	71	292
1	288	241
2	2201	241
0	8827	214

Stop Event

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

Counts

22 → 579

Calls

Call 1

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

Outputs
(.f64 (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) (-.f64 #s(literal 1/46656 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) (.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)))))))
(/.f64 (+.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/1296 binary64) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 #s(literal 1/24 binary64) x))))))
(/.f64 (fma.f64 #s(literal -1/191102976 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (fma.f64 #s(literal 1/331776 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 #s(literal -1/576 binary64) (*.f64 x x)) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))) (.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)))) (.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)))
(/.f64 (-.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64))) (+.f64 #s(literal 1/1296 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) (-.f64 #s(literal 1/46656 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 1/20736 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 4 binary64))) #s(literal 1/1296 binary64)) (-.f64 #s(literal 1/46656 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/576 binary64) x) x #s(literal 1/36 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal 1/576 binary64))) x #s(literal 1/36 binary64))
(fma.f64 (*.f64 x #s(literal 1/576 binary64)) (neg.f64 x) #s(literal 1/36 binary64))
(fma.f64 #s(literal -1/576 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/36 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/576 binary64) #s(literal 1/36 binary64))
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(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))))
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(+.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))) (neg.f64 (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 x (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/6 binary64))))))
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(.f64 (.f64 x #s(literal 1/576 binary64)) x)
(.f64 (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal -1/24 binary64) x))
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(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
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(pow.f64 (neg.f64 x) #s(literal -2 binary64))
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(pow.f64 x #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
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(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
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(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
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eval104.0ms (1.4%)

Memory: 36.5MiB live, 229.6MiB allocated
Compiler: Compiled 30 193 to 3 520 computations (88.3% saved)

prune75.0ms (1%)

Memory

-10.7MiB live, 154.7MiB allocated

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	831	11	842
Fresh	6	15	21
Picked	3	2	5
Done	1	7	8
Total	841	35	876

Accuracy

100.0%

Counts

876 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	(/.f64 (/.f64 (fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) x (neg.f64 x)) x) x)
	7.3%	(/.f64 (-.f64 #s(approx (exp x) (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) x)
✓	5.1%	(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
	19.5%	(/.f64 (-.f64 #s(approx (exp x) (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	67.5%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( 1/576 (* x x))) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	48.2%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/36 ( 1/576 (* x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) x)
	66.6%	(/.f64 #s(approx (- (exp x) 1) (.f64 (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)) x)) x)
✓	99.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
	67.9%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (.f64 (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)) x)))
	66.5%	(.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (.f64 (fma.f64 #s(approx (+ (* (+ (* -1/24 x) -1/6) x) -1/2) (.f64 (.f64 #s(literal -1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
✓	47.9%	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (neg (- (exp x) 1)) (neg.f64 x)))
	3.3%	(.f64 (.f64 x (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	4.7%	(.f64 (neg.f64 x) (/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
	29.1%	(.f64 #s(approx (+ ( (exp x) x) (neg (* x 1))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
	23.1%	(.f64 #s(approx (+ ( (exp x) x) (neg (* x 1))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
✓	67.0%	#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)))
	67.0%	#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)))
✓	63.7%	#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)))
✓	48.9%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
	21.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	22.7%	#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)))))
	21.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))))))
	21.4%	#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)))
	21.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) (*.f64 x x))))
	6.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))) (.f64 x x))))
	20.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (/.f64 #s(approx (- 1/36 ( 1/576 (* x x))) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x))) (.f64 x x))))
	21.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x))))
	21.7%	#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)))
	21.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))) (.f64 x x))))
	18.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) x) x)))
	21.2%	#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) (.f64 #s(literal 1/24 binary64) x)) (.f64 x x))))
✓	18.6%	#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) #s(literal 1/6 binary64)) (*.f64 x x))))
	18.4%	#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)))
✓	48.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 2 203 to 898 computations (59.2% saved)

regimes32.0ms (0.4%)

Memory

-17.8MiB live, 64.2MiB allocated

Counts

53 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
15.0ms	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)

regimes28.0ms (0.4%)

Memory

-5.1MiB live, 73.7MiB allocated

Counts

50 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.0%	1	`x`
68.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes16.0ms (0.2%)

Memory

-4.9MiB live, 38.1MiB allocated

Counts

25 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
67.0%	1	`x`
67.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

-22.9MiB live, 16.4MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#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)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 #s(approx (+ ( 1/24 x) 1/6) #s(literal 1/6 binary64)) (*.f64 x x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 #s(approx (+ (* 1/24 x) 1/6) #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) (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) (.f64 #s(literal 1/24 binary64) x)) (.f64 x 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
3.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
67.0%	2	`x`
67.0%	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

15.4MiB live, 15.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
67.0%	2	`x`
67.0%	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

14.1MiB live, 14.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
63.7%	1	`x`
63.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory

-26.0MiB live, 13.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
63.2%	2	`x`
63.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

#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))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
63.2%	2	`x`
63.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#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)))

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
48.9%	1	`x`
48.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.0%	1	`x`
48.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.001465082140082	2.02441108478374e+38

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.001465082140082	2.02441108478374e+38

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.001465082140082	2.02441108478374e+38

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.001465082140082	2.02441108478374e+38

Compiler

Compiled 9 to 9 computations (0% saved)

simplify85.0ms (1.1%)

Memory

-11.4MiB live, 69.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	292
1	81	292
2	110	292
3	198	292
4	303	292
5	393	292
6	522	292
7	1614	292
8	2998	292
9	7840	292

Stop Event

1×	node limit

Calls

Call 1

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

soundness2.9s (38%)

Memory

-11.3MiB live, 869.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	249
0	68	249
1	254	248
2	1781	248
0	8247	233
0	5	12
0	8	12
1	35	12
2	220	12
3	2304	12
0	8954	8
0	88	273
1	264	273
2	693	261
3	2137	261
4	5411	261
0	8202	213
0	120	497
1	374	486
2	1039	472
3	3031	470
4	7019	470
0	8243	393
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	902	99
9	1606	99
10	4489	99
11	5635	99
12	5861	99
13	5991	99
14	6106	99
15	6112	99
16	6385	99
17	6385	99
18	6569	99
19	6661	99
20	6661	99
21	6869	99
22	6950	99
23	6950	99
0	6950	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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 433 to 186 computations (57% saved)

preprocess64.0ms (0.8%)

Memory: -2.3MiB live, 111.9MiB allocated
Compiler: Compiled 640 to 166 computations (74.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	213	14
4	529	14
5	701	14
6	822	14
7	873	14
8	874	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	176	6
9	334	6
10	489	6
11	581	6
12	648	6
13	862	6
14	869	6
15	870	6
0	870	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	176	14
9	334	14
10	489	14
11	581	14
12	648	14
13	862	14
14	869	14
15	870	14
0	870	10

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	213	14
4	529	14
5	701	14
6	822	14
7	873	14
8	874	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	176	6
9	334	6
10	489	6
11	581	6
12	648	6
13	862	6
14	869	6
15	870	6
0	870	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	176	14
9	334	14
10	489	14
11	581	14
12	648	14
13	862	14
14	869	14
15	870	14
0	870	10

start0.0ms (0%)

analyze2.0ms (0%)

sample675.0ms (9%)

explain74.0ms (1%)

preprocess77.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.3%)

localize15.0ms (0.2%)

series2.0ms (0%)

simplify319.0ms (4.2%)

rewrite240.0ms (3.2%)

eval119.0ms (1.6%)

prune23.0ms (0.3%)

simplify128.0ms (1.7%)

localize74.0ms (1%)

series6.0ms (0.1%)

simplify129.0ms (1.7%)

rewrite156.0ms (2.1%)

eval70.0ms (0.9%)

prune42.0ms (0.6%)

simplify321.0ms (4.3%)

localize140.0ms (1.9%)

series7.0ms (0.1%)

simplify218.0ms (2.9%)

rewrite276.0ms (3.7%)

eval176.0ms (2.3%)

prune93.0ms (1.2%)

simplify128.0ms (1.7%)

localize325.0ms (4.3%)

series8.0ms (0.1%)

simplify156.0ms (2.1%)

rewrite190.0ms (2.5%)

eval104.0ms (1.4%)

prune75.0ms (1%)

regimes32.0ms (0.4%)

regimes28.0ms (0.4%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify85.0ms (1.1%)

soundness2.9s (38%)

preprocess64.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	213	14
4	529	14
5	701	14
6	822	14
7	873	14
8	874	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	176	6
9	334	6
10	489	6
11	581	6
12	648	6
13	862	6
14	869	6
15	870	6
0	870	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	176	14
9	334	14
10	489	14
11	581	14
12	648	14
13	862	14
14	869	14
15	870	14
0	870	10