Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze29.0ms (1.5%)

Memory

-16.1MiB live, 28.4MiB allocated; 12ms 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)

sample1.1s (56.4%)

Memory

-123.1MiB live, 928.8MiB allocated; 1.0s collecting garbage

Samples

327.0ms	8 256×	0	valid
14.0ms	332×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-expm1: 70.0ms (48.9% of total)

ival-mult!: 69.0ms (48.2% of total)

adjust: 2.0ms (1.4% of total)

ival->: 2.0ms (1.4% of total)

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

Bogosity

explain66.0ms (3.5%)

Memory

-17.1MiB live, 125.1MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(-.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	127	1

Confusion

	Predicted +	Predicted -
+	127	0
-	0	129

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	0	2	127

Precision?

0.9844961240310077

Recall?

1.0

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-exp: 4.0ms (39.8% of total)

ival-expm1: 3.0ms (29.8% of total)

ival-mult!: 3.0ms (29.8% of total)

adjust: 0.0ms (0% of total)

preprocess25.0ms (1.3%)

Memory

-7.3MiB live, 35.5MiB allocated; 6ms 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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.3%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	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	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)

rewrite144.0ms (7.6%)

Memory

20.9MiB live, 159.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

24 → 56

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: 12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 865 to 183 computations (78.8% saved)

prune13.0ms (0.7%)

Memory

-22.9MiB live, 23.8MiB allocated; 1ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accuracy

100.0%

Counts

55 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
▶	67.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))

Compiler

Compiled 24 to 19 computations (20.8% saved)

series9.0ms (0.5%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Counts

13 → 35

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite38.0ms (2%)

Memory

-10.2MiB live, 36.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

48 → 107

Calls

Call 1

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

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

eval12.0ms (0.6%)

Memory: -20.8MiB live, 25.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 773 to 325 computations (81.7% saved)

prune50.0ms (2.6%)

Memory

40.2MiB live, 89.4MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	92	3	95

Accuracy

100.0%

Counts

95 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
▶	33.2%	(expm1.f64 (/.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x a) #s(literal 0 binary64))))))
▶	69.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a (*.f64 x a)) #s(literal 1/2 binary64) a) x))

Status

Accuracy

Program

✓

100.0%

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

▶

33.2%

(expm1.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x a) #s(literal 0 binary64))))))

▶

69.7%

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

Compiler

Compiled 47 to 31 computations (34% saved)

series17.0ms (0.9%)

Memory

-9.1MiB live, 37.4MiB allocated; 1ms collecting garbage

Counts

17 → 39

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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 (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))))) 1) (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0)))) (+ (pow (* x a) 3) 0) (pow (* x a) 3) 3 0 (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))) (- 0 (* (* x a) 0)) (* (* x a) 0))
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 (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))))) 1) (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0)))) (+ (pow (* x a) 3) 0) (pow (* x a) 3) 3 0 (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))) (- 0 (* (* x a) 0)) (* (* x a) 0))
3.0ms	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 (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))))) 1) (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0)))) (+ (pow (* x a) 3) 0) (pow (* x a) 3) 3 0 (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))) (- 0 (* (* x a) 0)) (* (* x a) 0))
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 (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))))) 1) (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0)))) (+ (pow (* x a) 3) 0) (pow (* x a) 3) 3 0 (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))) (- 0 (* (* x a) 0)) (* (* x a) 0))
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 (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))))) 1) (/ (+ (pow (* x a) 3) 0) (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0)))) (+ (pow (* x a) 3) 0) (pow (* x a) 3) 3 0 (+ (* (* x a) (* x a)) (- 0 (* (* x a) 0))) (- 0 (* (* x a) 0)) (* (* x a) 0))

rewrite47.0ms (2.5%)

Memory

-1.8MiB live, 44.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	993
0	173	846
0	753	791

Stop Event

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

Counts

56 → 111

Calls

Call 1

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

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

eval13.0ms (0.7%)

Memory: -20.4MiB live, 25.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 208 to 412 computations (87.2% saved)

prune54.0ms (2.8%)

Memory

4.0MiB live, 99.5MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	127	3	130

Accuracy

100.0%

Counts

130 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
▶	31.0%	(expm1.f64 (/.f64 (fma.f64 (.f64 x (.f64 (.f64 x a) a)) (.f64 x a) #s(literal 0 binary64)) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x a) #s(literal 0 binary64))))))
✓	69.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a (*.f64 x a)) #s(literal 1/2 binary64) a) x))

Status

Accuracy

Program

✓

100.0%

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

▶

31.0%

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

✓

69.7%

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

Compiler

Compiled 52 to 31 computations (40.4% saved)

series12.0ms (0.6%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

12 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite55.0ms (2.9%)

Memory

-2.0MiB live, 45.0MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	594
0	122	434
0	569	420

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

30 → 72

Calls

Call 1

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

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

eval41.0ms (2.2%)

Memory: -31.8MiB live, 15.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 250 to 360 computations (88.9% saved)

prune95.0ms (5%)

Memory

5.1MiB live, 54.5MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Accuracy

100.0%

Counts

106 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64)))
✓	31.0%	(expm1.f64 (/.f64 (fma.f64 (.f64 x (.f64 (.f64 x a) a)) (.f64 x a) #s(literal 0 binary64)) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x a) #s(literal 0 binary64))))))
✓	69.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a (*.f64 x a)) #s(literal 1/2 binary64) a) x))

Status

Accuracy

Program

✓

100.0%

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

✓

31.0%

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

✓

69.7%

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

Compiler

Compiled 150 to 68 computations (54.7% saved)

regimes10.0ms (0.5%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes11.0ms (0.6%)

Memory

-25.1MiB live, 19.8MiB allocated; 3ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

(expm1.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x a) #s(literal 0 binary64))))))

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

Calls

5 calls:

4.0ms	(exp.f64 (*.f64 a x))
2.0ms	a
2.0ms	x
2.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
81.7%	2	`(*.f64 a x)`
81.7%	2	`(exp.f64 (*.f64 a x))`
81.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
72.8%	2	`a`
74.7%	2	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Accuracy

Total -1.3b remaining (-6.9%)

Threshold costs -1.3b (-6.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	a
1.0ms	x
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
69.7%	1	`a`
69.7%	1	`x`
69.7%	1	`(*.f64 a x)`
69.7%	1	`(exp.f64 (*.f64 a x))`
69.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

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	-3.5084166527532545e-7	-3.3689928624625054e-10

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations38.0ms (2%)

Memory

-12.8MiB live, 32.9MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 73 to 30 computations (58.9% saved)

preprocess29.0ms (1.5%)

Memory: 27.1MiB live, 73.2MiB allocated; 3ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 304 to 166 computations (45.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (1.5%)

sample1.1s (56.4%)

explain66.0ms (3.5%)

preprocess25.0ms (1.3%)

series5.0ms (0.3%)

rewrite144.0ms (7.6%)

eval6.0ms (0.3%)

prune13.0ms (0.7%)

series9.0ms (0.5%)

rewrite38.0ms (2%)

eval12.0ms (0.6%)

prune50.0ms (2.6%)

series17.0ms (0.9%)

rewrite47.0ms (2.5%)

eval13.0ms (0.7%)

prune54.0ms (2.8%)

series12.0ms (0.6%)

rewrite55.0ms (2.9%)

eval41.0ms (2.2%)

prune95.0ms (5%)

regimes10.0ms (0.5%)

regimes11.0ms (0.6%)

regimes6.0ms (0.3%)

bsearch0.0ms (0%)

derivations38.0ms (2%)

preprocess29.0ms (1.5%)

end0.0ms (0%)

Profiling