Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze27.0ms (1.4%)

Memory

0.3MiB live, 44.3MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75.9%	68.7%	21.9%	0.1%	0%	9.4%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
86%	71.8%	11.7%	0.1%	0%	16.4%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.4%	73.4%	6%	0.1%	0%	20.5%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample636.0ms (32.6%)

Memory

24.7MiB live, 957.0MiB allocated; 165ms collecting garbage

Samples

364.0ms	8 256×	0	valid
14.0ms	309×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-expm1: 78.0ms (48.9% of total)

ival-mult: 76.0ms (47.7% of total)

adjust: 2.0ms (1.3% of total)

ival-assert: 2.0ms (1.3% of total)

ival->: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

Bogosity

explain79.0ms (4%)

Memory

-35.6MiB live, 167.7MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	141	0

Confusion

	Predicted +	Predicted -
+	141	0
-	0	115

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	0	0
-	0	0	115

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	115
1	141

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-exp: 4.0ms (34% of total)

ival-mult: 4.0ms (34% of total)

ival-expm1: 3.0ms (25.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess216.0ms (11.1%)

Memory

8.3MiB live, 336.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	45	42
2	81	42
3	219	42
4	977	42
0	6	6
0	9	6
1	17	6
2	35	6
3	84	6
4	297	6
5	2733	6
0	8456	4

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (-.f64 (*.f64 x a) #s(literal 0 binary64)))

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

series5.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))

Calls

6 calls:

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

rewrite145.0ms (7.4%)

Memory

3.6MiB live, 146.0MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	321
0	87	321
1	479	321
0	4482	278

Stop Event

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

Counts

24 → 56

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a)))) (neg.f64 (/.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a))) (expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) (neg.f64 (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a))) (expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a))) (/.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a))) (expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) (neg.f64 (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a))) (expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))))))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 x a))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 2 binary64) x)) (/.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a))) (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a))) (expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) (neg.f64 (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a))) (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) (neg.f64 (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x a))) (expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))))))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 (neg.f64 a) x)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(/.f64 (*.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (neg.f64 a) x)) (cosh.f64 (.f64 (neg.f64 a) x))) (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))) (-.f64 (cosh.f64 (.f64 (neg.f64 a) x)) (sinh.f64 (.f64 x a))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (neg.f64 a) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64))) (+.f64 (.f64 (cosh.f64 (.f64 (neg.f64 a) x)) (cosh.f64 (.f64 (neg.f64 a) x))) (-.f64 (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))) (.f64 (cosh.f64 (.f64 (neg.f64 a) x)) (sinh.f64 (*.f64 x a))))))
(exp.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 x a))
(+.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 (neg.f64 a) x)))
(+.f64 (cosh.f64 (.f64 (neg.f64 a) x)) (sinh.f64 (.f64 x a)))
(.f64 (.f64 #s(literal 1 binary64) x) a)
(.f64 (.f64 #s(literal 1 binary64) a) x)
(.f64 (.f64 x a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x a))
(*.f64 x a)
(*.f64 a x)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x a)) #s(literal 2 binary64))
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) a) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (* a x) (*.f64 x a))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) x) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx x x)

eval6.0ms (0.3%)

Memory: 12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 865 to 183 computations (78.8% saved)

prune16.0ms (0.8%)

Memory

-27.7MiB live, 17.1MiB allocated; 11ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Accuracy

100.0%

Counts

55 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
▶	63.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))

Compiler

Compiled 24 to 19 computations (20.8% saved)

series9.0ms (0.5%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

13 → 35

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))
(*.f64 x a)
#s(literal 1 binary64)
#s(literal 0 binary64)

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (+ (* (* x a) 1) 0) #s(hole binary64 (* a x)))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (+ (* (* x a) 1) 0)) 1) (+ (* (* x a) 1) 0) (* x a) 1 0)
2.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (+ (* (* x a) 1) 0)) 1) (+ (* (* x a) 1) 0) (* x a) 1 0)
1.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (+ (* (* x a) 1) 0)) 1) (+ (* (* x a) 1) 0) (* x a) 1 0)
1.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (+ (* (* x a) 1) 0)) 1) (+ (* (* x a) 1) 0) (* x a) 1 0)
1.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (+ (* (* x a) 1) 0)) 1) (+ (* (* x a) 1) 0) (* x a) 1 0)

rewrite48.0ms (2.5%)

Memory

10.2MiB live, 54.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	723
0	147	660
0	679	631

Stop Event

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

Counts

48 → 107

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))
(*.f64 x a)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (+ (* (* x a) 1) 0) #s(hole binary64 (* a x)))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))

Outputs
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x)
(.f64 x (fma.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a))
(fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))
(fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 x (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (.f64 x a) (.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (.f64 x a) (.f64 x (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))
(fma.f64 x a (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) x))
(fma.f64 x a (.f64 x (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)))
(fma.f64 a x (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) x))
(fma.f64 a x (.f64 x (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)))
(+.f64 (.f64 x a) (.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x))
(+.f64 (.f64 x a) (.f64 x (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)) (.f64 a a)) (-.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x))) (-.f64 a (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 a a) a)) (+.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)) (.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)))))
(fma.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x a)
(fma.f64 (.f64 a a) (.f64 #s(literal 1/2 binary64) x) a)
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(-.f64 a (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 a a) x)))
(+.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a)
(+.f64 a (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))
(.f64 (.f64 a a) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 x a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
a
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(expm1.f64 (*.f64 x a))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(.f64 (.f64 x a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x a))
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(*.f64 a x)
(/.f64 (-.f64 (.f64 (.f64 x a) (.f64 x a)) #s(literal 0 binary64)) (-.f64 (.f64 x a) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x a) #s(literal 0 binary64)))))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
(.f64 (.f64 x a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x a))
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(*.f64 a x)
(/.f64 (-.f64 (.f64 (.f64 x a) (.f64 x a)) #s(literal 0 binary64)) (-.f64 (.f64 x a) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x a) #s(literal 0 binary64)))))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (*.f64 x a))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 x a))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a))
#s(approx (* (* a a) x) (.f64 (.f64 a a) x))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (*.f64 x a))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (+ (* (* x a) 1) 0) (*.f64 x a))
#s(approx (+ (* (* x a) 1) 0) (*.f64 x a))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) (*.f64 a a)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (.f64 a a)))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (fma.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x a))
#s(approx x x)
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (+ (* (* x a) 1) 0)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) (.f64 #s(literal -1 binary64) (/.f64 a x))) x) #s(literal -1 binary64)))

eval10.0ms (0.5%)

Memory: 20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 773 to 325 computations (81.7% saved)

prune72.0ms (3.7%)

Memory

-17.6MiB live, 88.5MiB allocated; 33ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	93	2	95

Accuracy

100.0%

Counts

95 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
▶	70.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a (*.f64 x a)) #s(literal 1/2 binary64) a) x))

Compiler

Compiled 24 to 19 computations (20.8% saved)

series15.0ms (0.8%)

Memory

-31.2MiB live, 13.3MiB allocated; 12ms collecting garbage

Counts

8 → 25

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* a (* x a)) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* a (* x a)) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* a (* x a)) #s(hole binary64 (* (pow a 2) x)))
#s(approx a #s(hole binary64 a))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* a (* x a)) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* a (* x a)) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* a (* x a)) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a (* x a)) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a (* x a)) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (* a (* x a)) 1/2) a) x) (+ (* (* a (* x a)) 1/2) a) (* a (* x a)) a (* x a) x 1/2)
2.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* a (* x a)) 1/2) a) x) (+ (* (* a (* x a)) 1/2) a) (* a (* x a)) a (* x a) x 1/2)
1.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* a (* x a)) 1/2) a) x) (+ (* (* a (* x a)) 1/2) a) (* a (* x a)) a (* x a) x 1/2)
1.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* a (* x a)) 1/2) a) x) (+ (* (* a (* x a)) 1/2) a) (* a (* x a)) a (* x a) x 1/2)
1.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* a (* x a)) 1/2) a) x) (+ (* (* a (* x a)) 1/2) a) (* a (* x a)) a (* x a) x 1/2)

rewrite153.0ms (7.9%)

Memory

23.6MiB live, 213.8MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	501
0	124	493
1	594	488
0	5139	454

Stop Event

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

Counts

33 → 120

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x a) a) a) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x a) a) a) x)
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x a) a) a))
(.f64 a (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a)) x) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a))
(/.f64 (.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) x) (fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a))))
(/.f64 (.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) x) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x a) a) (.f64 a (-.f64 a (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a) (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x))) x) (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a))) a) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a))) (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) x)) a) (fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) x))))
(/.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a))) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a))
(/.f64 (.f64 x (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a))))
(/.f64 (.f64 x (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x a) a) (.f64 a (-.f64 a (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))))
(/.f64 (.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a) (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)))) (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 a (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a)))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) a))) (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)))
(/.f64 (.f64 a (fma.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) #s(literal 3/2 binary64)) (.f64 (.f64 x x) x))) (fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) a) a) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a))) (-.f64 (.f64 x a) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x) a)))
(/.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x a) #s(literal 1 binary64)) (pow.f64 (.f64 x a) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a)) (.f64 (.f64 x a) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a) (.f64 x a))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a (.f64 x a))
(fma.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) x (.f64 x a))
(fma.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 x x) (.f64 x a))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 x a) a) (.f64 x a))
(fma.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64) (.f64 x a))
(fma.f64 (.f64 a a) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x a))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 a a) (.f64 x a))
(fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/2 binary64) a) (.f64 x a))
(fma.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 x a))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) a) a) (.f64 x a))
(fma.f64 (.f64 (.f64 x a) a) (.f64 #s(literal 1/2 binary64) x) (.f64 x a))
(fma.f64 x (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (.f64 x a))
(fma.f64 x a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a))
(fma.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) (.f64 x a))
(fma.f64 a x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a))
(-.f64 (.f64 x a) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) a) a))
(-.f64 (.f64 x a) (.f64 (.f64 #s(literal -1 binary64) a) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x)))
(-.f64 (.f64 x a) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 a a)) x) x))
(-.f64 (.f64 x a) (.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a) (*.f64 x a))
(+.f64 (.f64 x a) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x) a))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) a) a)
(.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (.f64 a a))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64) #s(literal 1 binary64)) a)
(.f64 a (.f64 a (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64)))))
(.f64 a (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) a) a))) a) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x a))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64)) a) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 a a)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 3 binary64))) (.f64 a a)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x (-.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (.f64 a (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) a) a)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x a))))
(/.f64 (.f64 a (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 a a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 a a) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x (-.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 a a) a) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a a)) x) #s(literal 3 binary64))) (fma.f64 (fabs.f64 a) (fabs.f64 a) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x a) a) (.f64 a (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 a a)) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a) (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)))) (neg.f64 (-.f64 a (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a))) (neg.f64 (-.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a)))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (-.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a)))))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x a) a) (.f64 a (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a) (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x))) (-.f64 a (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a)) (-.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a))
(/.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (-.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a))))
(/.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x a) a) (.f64 a (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x a) a)
(fma.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x a)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a a) a)
(fma.f64 (.f64 a a) (.f64 #s(literal 1/2 binary64) x) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a a)
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a)
(fma.f64 (.f64 (.f64 x a) a) #s(literal 1/2 binary64) a)
(fma.f64 (.f64 x a) (.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 x (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)
(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x a)) a)
(-.f64 (/.f64 (.f64 a a) (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a)))
(-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (*.f64 a a)))
(-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))))
(-.f64 a (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x a)) a))
(-.f64 a (.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal 1/2 binary64) (.f64 x a))))
(-.f64 a (.f64 (neg.f64 (.f64 (*.f64 x a) a)) #s(literal 1/2 binary64)))
(-.f64 a (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 a a)) x))
(+.f64 (/.f64 (.f64 (.f64 a a) a) (fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) a)))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) (-.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x a) a) (.f64 a (-.f64 a (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x))))) (/.f64 (.f64 (.f64 a a) a) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) (.f64 (.f64 x a) a) (.f64 a (-.f64 a (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))))))
(+.f64 (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a)
(+.f64 a (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))
(.f64 (.f64 a a) x)
(.f64 (.f64 x a) a)
(.f64 x (.f64 a a))
(.f64 a (.f64 x a))
a
(*.f64 x a)
(*.f64 a x)
x
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x a) a) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) a) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) (*.f64 x a))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x a) a) a) x))
#s(approx (+ (* (* a (* x a)) 1/2) a) a)
#s(approx (+ (* (* a (* x a)) 1/2) a) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a))
#s(approx (* a (* x a)) (.f64 (.f64 x a) a))
#s(approx a a)
#s(approx (* x a) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (fma.f64 x a #s(literal 0 binary64))))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (+ (* (* a (* x a)) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* a (* x a)) 1/2) a) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x a) a) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) x) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x a) a) a) x))
#s(approx (+ (* (* a (* x a)) 1/2) a) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) a) a))
#s(approx x x)
#s(approx (* (+ (* (* a (* x a)) 1/2) a) x) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
#s(approx (+ (* (* a (* x a)) 1/2) a) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#s(approx (+ (* (* a (* x a)) 1/2) a) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) (.f64 #s(literal -1 binary64) (/.f64 a x))) x) #s(literal -1 binary64)))

eval47.0ms (2.4%)

Memory: -13.5MiB live, 32.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 350 to 480 computations (85.7% saved)

prune76.0ms (3.9%)

Memory

22.1MiB live, 120.8MiB allocated; 13ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	121	2	123

Accuracy

100.0%

Counts

123 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
▶	70.6%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a)))

Compiler

Compiled 26 to 20 computations (23.1% saved)

series14.0ms (0.7%)

Memory

-10.3MiB live, 36.0MiB allocated; 5ms collecting garbage

Counts

9 → 20

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx a #s(hole binary64 a))
#s(approx (* (* (* 1/2 (* x a)) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* 1/2 (* x a)) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* 1/2 (* x a)) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	((- (exp (* a x)) 1) (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) x a (* (* (* 1/2 (* x a)) x) a) (* (* 1/2 (* x a)) x) (* 1/2 (* x a)) 1/2 (* x a))
2.0ms	a	@	0	((- (exp (* a x)) 1) (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) x a (* (* (* 1/2 (* x a)) x) a) (* (* 1/2 (* x a)) x) (* 1/2 (* x a)) 1/2 (* x a))
2.0ms	x	@	-inf	((- (exp (* a x)) 1) (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) x a (* (* (* 1/2 (* x a)) x) a) (* (* 1/2 (* x a)) x) (* 1/2 (* x a)) 1/2 (* x a))
2.0ms	a	@	inf	((- (exp (* a x)) 1) (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) x a (* (* (* 1/2 (* x a)) x) a) (* (* 1/2 (* x a)) x) (* 1/2 (* x a)) 1/2 (* x a))
2.0ms	x	@	0	((- (exp (* a x)) 1) (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) x a (* (* (* 1/2 (* x a)) x) a) (* (* 1/2 (* x a)) x) (* 1/2 (* x a)) 1/2 (* x a))

rewrite135.0ms (6.9%)

Memory

-1.8MiB live, 185.5MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	433
0	107	421
1	511	405
0	4282	373

Stop Event

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

Counts

29 → 116

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) (*.f64 x a))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(.f64 x (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a))
(.f64 a (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) (-.f64 a (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)))) x) (-.f64 a (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) (-.f64 x (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)))) a) (-.f64 x (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) a) (fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) x))))
(/.f64 (.f64 x (.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) (-.f64 a (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64))))) (-.f64 a (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) a))))
(/.f64 (.f64 a (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) (-.f64 x (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64))))
(/.f64 (.f64 a (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a a) x) x)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) (.f64 x a)))
(/.f64 (-.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) a) a) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x a) #s(literal 1 binary64)) (pow.f64 (.f64 x a) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) a) (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) (.f64 (.f64 x a) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) a) a)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 a a) x) x) (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 2 binary64)))) (neg.f64 (.f64 a (-.f64 x (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 (.f64 x a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 1 binary64)) (pow.f64 (.f64 x a) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a a) x) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) x) x) (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 2 binary64))) (.f64 a (-.f64 x (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 (.f64 x a) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) a) (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) x) x) (.f64 (.f64 (.f64 a a) x) (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3/2 binary64)) (pow.f64 (.f64 x a) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x a) #s(literal 1 binary64)) (pow.f64 (.f64 x a) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a a) x) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) a) x (.f64 x a))
(fma.f64 (.f64 a (.f64 (.f64 x a) #s(literal 1/2 binary64))) x (.f64 x a))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 a a) x) (.f64 x a))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a) (.f64 x a))
(fma.f64 (.f64 (.f64 (.f64 a a) x) x) #s(literal 1/2 binary64) (.f64 x a))
(fma.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 x x) (.f64 x a))
(fma.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x (.f64 x a))
(fma.f64 (.f64 (.f64 a a) x) (.f64 #s(literal 1/2 binary64) x) (.f64 x a))
(fma.f64 (.f64 a a) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 x a))
(fma.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a) (.f64 x a))
(fma.f64 (.f64 x a) (.f64 (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 a a) (.f64 x a))
(fma.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a (.f64 x a))
(fma.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/2 binary64) a) (.f64 x a))
(fma.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 x a))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) x) x) (.f64 x a))
(fma.f64 x (.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) a) (.f64 x a))
(fma.f64 x (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) (.f64 x a))
(fma.f64 x a (.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) a)) a))
(fma.f64 x a (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a))
(fma.f64 a (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) (.f64 x a))
(fma.f64 a x (.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) a)) a))
(fma.f64 a x (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) x) x) (.f64 a (-.f64 x (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 a (-.f64 x (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))
(-.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) (*.f64 (neg.f64 x) a))
(-.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) (*.f64 (neg.f64 a) x))
(-.f64 (.f64 x a) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 a a) x)) x))
(-.f64 (.f64 x a) (.f64 (neg.f64 x) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))
(-.f64 (.f64 x a) (.f64 (neg.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64))) (*.f64 x a)))
(-.f64 (.f64 x a) (.f64 (neg.f64 a) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))
(-.f64 (.f64 x a) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) a) a))
(+.f64 (/.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x a) #s(literal 1 binary64)) (pow.f64 (.f64 x a) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a a) x) (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x a) #s(literal 1 binary64)) (pow.f64 (.f64 x a) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a a) x) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a) (*.f64 x a))
(+.f64 (.f64 x a) (.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) a)) a))
(+.f64 (.f64 x a) (.f64 (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))
x
a
(.f64 (.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) a) x)
(.f64 (.f64 a (.f64 (.f64 x a) #s(literal 1/2 binary64))) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 a a) x))
(.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a))
(.f64 (.f64 (.f64 (.f64 a a) x) x) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 x x))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 a a) x) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 a a) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) (.f64 x a))
(.f64 (.f64 x a) (.f64 (.f64 x a) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 a a))
(.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a)
(.f64 (.f64 (.f64 x x) a) (.f64 #s(literal 1/2 binary64) a))
(.f64 (.f64 x x) (.f64 (.f64 a a) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) x) x))
(.f64 x (.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) a))
(.f64 x (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)))
(.f64 a (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x a))
(.f64 (.f64 #s(literal 1/2 binary64) a) (*.f64 x x))
(.f64 (.f64 (*.f64 x a) #s(literal 1/2 binary64)) x)
(.f64 (.f64 x a) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) a)
(.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64))
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) a))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a))
(.f64 x (.f64 (*.f64 x a) #s(literal 1/2 binary64)))
(.f64 a (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) a)
(.f64 (.f64 #s(literal 1/2 binary64) a) x)
(.f64 (.f64 x a) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x a))
(.f64 x (.f64 #s(literal 1/2 binary64) a))
(.f64 a (.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
(*.f64 x a)
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) a) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) (*.f64 x a))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx a a)
#s(approx (* (* (* 1/2 (* x a)) x) a) (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a))
#s(approx (* (* 1/2 (* x a)) x) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (* x a)) (.f64 (.f64 x a) #s(literal 1/2 binary64)))
#s(approx (* x a) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (fma.f64 x a #s(literal 0 binary64))))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) (.f64 (.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64)) a))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) x) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx x x)
#s(approx (+ (* x a) (* (* (* 1/2 (* x a)) x) a)) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))

eval13.0ms (0.7%)

Memory: 31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 000 to 432 computations (85.6% saved)

prune68.0ms (3.5%)

Memory

-89.6MiB live, 97.2MiB allocated; 49ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Accuracy

100.0%

Counts

123 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
✓	70.6%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a)))

Compiler

Compiled 92 to 49 computations (46.7% saved)

regimes10.0ms (0.5%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a (*.f64 x a)) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) a)))
(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Outputs
(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.4%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
70.6%	1	`(*.f64 a x)`
70.6%	1	`(exp.f64 (*.f64 a x))`
70.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
70.6%	1	`a`
70.6%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.5%)

Memory

-30.8MiB live, 17.4MiB allocated; 5ms collecting garbage

Accuracy

Total -4.3b remaining (-23%)

Threshold costs -4.3b (-23%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
1.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
70.6%	1	`(*.f64 a x)`
70.6%	1	`(exp.f64 (*.f64 a x))`
70.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
70.6%	1	`a`
70.6%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify44.0ms (2.3%)

Memory

10.1MiB live, 55.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	27	43
2	45	43
3	97	43
4	316	43
5	2578	43

Stop Event

1×	node limit

Calls

Call 1

Inputs

(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))

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

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

Outputs

(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))

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

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

derivations60.0ms (3.1%)

Memory

6.5MiB live, 50.8MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 43 to 21 computations (51.2% saved)

preprocess31.0ms (1.6%)

Memory: -4.4MiB live, 42.9MiB allocated; 14ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 112 to 68 computations (39.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze27.0ms (1.4%)

sample636.0ms (32.6%)

explain79.0ms (4%)

preprocess216.0ms (11.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.3%)

rewrite145.0ms (7.4%)

eval6.0ms (0.3%)

prune16.0ms (0.8%)

series9.0ms (0.5%)

rewrite48.0ms (2.5%)

eval10.0ms (0.5%)

prune72.0ms (3.7%)

series15.0ms (0.8%)

rewrite153.0ms (7.9%)

eval47.0ms (2.4%)

prune76.0ms (3.9%)

series14.0ms (0.7%)

rewrite135.0ms (6.9%)

eval13.0ms (0.7%)

prune68.0ms (3.5%)

regimes10.0ms (0.5%)

regimes7.0ms (0.4%)

regimes9.0ms (0.5%)

simplify44.0ms (2.3%)

derivations60.0ms (3.1%)

preprocess31.0ms (1.6%)

end0.0ms (0%)

Profiling