Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze44.0ms (1.6%)

Memory

-14.7MiB live, 40.0MiB allocated; 31ms 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)

sample589.0ms (20.9%)

Memory

45.9MiB live, 932.3MiB allocated; 152ms collecting garbage

Samples

342.0ms	8 256×	0	valid
18.0ms	354×	0	invalid

Precisions

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

ival-expm1: 79.0ms (58.7% of total)

ival-mult!: 52.0ms (38.6% of total)

adjust: 2.0ms (1.5% of total)

ival->: 2.0ms (1.5% of total)

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

Bogosity

explain68.0ms (2.4%)

Memory

-36.3MiB live, 106.2MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
121	-	-	`(-.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	121	0

Confusion

	Predicted +	Predicted -
+	121	0
-	0	135

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 4.0ms (38.5% of total)

ival-expm1: 3.0ms (28.9% of total)

ival-mult!: 3.0ms (28.9% of total)

adjust: 0.0ms (0% of total)

preprocess195.0ms (6.9%)

Memory

45.4MiB live, 229.5MiB allocated; 17ms 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 x a))

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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

series6.0ms (0.2%)

Memory

-38.0MiB live, 8.5MiB allocated; 2ms 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
2.0ms	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	a	@	inf	((- (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	x	@	0	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite147.0ms (5.2%)

Memory

12.0MiB live, 154.8MiB allocated; 13ms 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 (.f64 (.f64 x a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))
(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 x a #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 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 x a)) (-.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 x a)) (cosh.f64 (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))) (-.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)) (-.f64 (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))) (.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))))))
(exp.f64 (fma.f64 x a #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 x a)))
(+.f64 (cosh.f64 (.f64 x a)) (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 (pow.f64 x #s(literal 3 binary64)) 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 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #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 x a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (* a x) (*.f64 x a))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#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 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #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 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx x x)

eval6.0ms (0.2%)

Memory: 11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 709 to 182 computations (74.3% saved)

prune4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	6	55

Accuracy

100.0%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	26.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	24.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	63.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	67.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 136 to 102 computations (25% saved)

series12.0ms (0.4%)

Memory

-27.1MiB live, 19.5MiB allocated; 2ms collecting garbage

Counts

17 → 48

Calls

Call 1

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

Outputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 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) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 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 (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 (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#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 (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#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 (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#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 (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 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 #s(hole binary64 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 (* (+ (* (* (* 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 a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#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 (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 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	@	0	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)

rewrite229.0ms (8.1%)

Memory

20.7MiB live, 210.3MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	920
0	180	874
1	860	866
0	7046	835

Stop Event

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

Counts

65 → 307

Calls

Call 1

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

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

eval41.0ms (1.5%)

Memory: -24.8MiB live, 73.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 6 372 to 1 076 computations (83.1% saved)

prune10.0ms (0.4%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	311	7	318

Accuracy

100.0%

Counts

318 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	26.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	24.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	67.0%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 a x) a) (.f64 #s(literal 1/2 binary64) x) (.f64 a x)))
▶	67.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	67.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 87 to 63 computations (27.6% saved)

series17.0ms (0.6%)

Memory

-16.8MiB live, 29.9MiB allocated; 2ms collecting garbage

Counts

18 → 59

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)
3.0ms	x	@	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 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)
3.0ms	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 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)
2.0ms	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 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)
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 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) 1)

rewrite174.0ms (6.2%)

Memory

20.2MiB live, 250.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1278
0	223	1223
1	1050	1218
0	8894	1166

Stop Event

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

Counts

77 → 429

Calls

Call 1

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

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

eval45.0ms (1.6%)

Memory: -14.5MiB live, 84.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 9 053 to 1 393 computations (84.6% saved)

prune13.0ms (0.5%)

Memory

35.3MiB live, 35.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	360	3	363
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	361	9	370

Accuracy

100.0%

Counts

370 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	26.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	5.2%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
▶	4.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
✓	24.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	67.0%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 a x) a) (.f64 #s(literal 1/2 binary64) x) (.f64 a x)))
▶	67.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
✓	67.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 153 to 108 computations (29.4% saved)

series29.0ms (1%)

Memory

-24.7MiB live, 62.9MiB allocated; 8ms collecting garbage

Counts

25 → 91

Calls

Call 1

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

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 (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (+ 1 (* 1/2 (* a x)))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 x))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ x a)))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ (+ x (* 1/2 (* a (pow x 2)))) a)))
#s(approx (/ x a) #s(hole binary64 (/ x a)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a x)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x)))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* a (+ (* 1/2 x) (/ 1 a)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (+ (* 1/2 (pow x 2)) (/ x a))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* -1 (* a (- (* -1/2 x) (/ 1 a))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#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 (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx x #s(hole binary64 x))
#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 x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* x (+ (* 1/2 x) (/ 1 a)))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x)))
#s(approx (* (* (+ (* 1/2 (* x a)) 1) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* 1/2 (* x a)) 1) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* x (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))))
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (* a x))))))
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x))))
#s(approx (+ (* 1/2 (* x a)) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 a) (/ 1 x))))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))))
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x))
6.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x))
4.0ms	a	@	0	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x))
3.0ms	x	@	inf	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x))
3.0ms	a	@	inf	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* x a)) 1) x) a) (* (+ (* 1/2 (* x a)) 1) x) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x))

rewrite602.0ms (21.3%)

Memory

5.8MiB live, 298.8MiB allocated; 732ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	2048
0	287	1993
1	1265	1953
0	9009	1890

Stop Event

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

Counts

116 → 657

Calls

Call 1

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

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

eval89.0ms (3.2%)

Memory: 8.3MiB live, 150.5MiB allocated; 28ms collecting garbage
Compiler: Compiled 23 965 to 3 095 computations (87.1% saved)

prune21.0ms (0.8%)

Memory

7.5MiB live, 54.1MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	667	5	672
Fresh	0	0	0
Picked	2	1	3
Done	1	5	6
Total	670	11	681

Accuracy

100.0%

Counts

681 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	26.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	8.3%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64))
	5.3%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64))
	6.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64))
	4.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64))
✓	24.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	67.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a)))
✓	67.0%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
✓	67.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 625 to 265 computations (57.6% saved)

regimes24.0ms (0.9%)

Memory

-4.4MiB live, 42.2MiB allocated; 2ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs
(expm1.f64 (*.f64 x a))

Calls

5 calls:

6.0ms	a
5.0ms	x
5.0ms	(*.f64 a x)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

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)

regimes22.0ms (0.8%)

Memory

-7.8MiB live, 38.6MiB allocated; 2ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	a
4.0ms	x
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(*.f64 a x)
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
72.7%	2	`(*.f64 a x)`
72.7%	2	`(exp.f64 (*.f64 a x))`
72.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.9%	2	`a`
70.9%	2	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.2%	2	`(*.f64 a x)`
71.2%	2	`(exp.f64 (*.f64 a x))`
71.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes16.0ms (0.6%)

Memory

-26.9MiB live, 24.6MiB allocated; 4ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	(*.f64 a x)
3.0ms	a
3.0ms	x
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
67.7%	1	`a`
67.7%	1	`x`
69.7%	2	`(*.f64 a x)`
69.7%	2	`(exp.f64 (*.f64 a x))`
69.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.7%	1	`x`
67.7%	1	`(exp.f64 (*.f64 a x))`
67.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.7%	1	`(*.f64 a x)`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes5.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	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
24.3%	1	`(*.f64 a x)`
24.3%	1	`a`
24.3%	1	`(exp.f64 (*.f64 a x))`
24.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
24.3%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-1.901303459228565e-6

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-1.901303459228565e-6

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0239813441782713e+23	-5.900017898101746e+21

Compiler

Compiled 9 to 9 computations (0% saved)

derivations356.0ms (12.6%)

Memory

-12.7MiB live, 221.3MiB allocated; 66ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 213 to 64 computations (70% saved)

preprocess36.0ms (1.3%)

Memory: 18.7MiB live, 64.5MiB allocated; 4ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 872 to 406 computations (53.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze44.0ms (1.6%)

sample589.0ms (20.9%)

explain68.0ms (2.4%)

preprocess195.0ms (6.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.2%)

rewrite147.0ms (5.2%)

eval6.0ms (0.2%)

prune4.0ms (0.1%)

series12.0ms (0.4%)

rewrite229.0ms (8.1%)

eval41.0ms (1.5%)

prune10.0ms (0.4%)

series17.0ms (0.6%)

rewrite174.0ms (6.2%)

eval45.0ms (1.6%)

prune13.0ms (0.5%)

series29.0ms (1%)

rewrite602.0ms (21.3%)

eval89.0ms (3.2%)

prune21.0ms (0.8%)

regimes24.0ms (0.9%)

regimes22.0ms (0.8%)

regimes8.0ms (0.3%)

regimes16.0ms (0.6%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations356.0ms (12.6%)

preprocess36.0ms (1.3%)

end0.0ms (0%)

Profiling