Metrics for expax (section 3.5)

analyze18.0ms (0.2%)

Memory

-2.2MiB live, 36.7MiB allocated

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)

sample493.0ms (4.9%)

Memory

30.4MiB live, 1 293.1MiB allocated

Samples

313.0ms	8 256×	0	valid
13.0ms	325×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult: 63.0ms (42.7% of total)

ival-expm1: 53.0ms (36% of total)

ival->: 22.0ms (14.9% of total)

exact: 7.0ms (4.7% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

preprocess20.0ms (0.2%)

Memory

-7.1MiB live, 30.7MiB allocated

Algorithm

2×	egg-herbie

Rules

44×	`sub-neg`
40×	`exp-sum`
24×	`exp-prod`
24×	`+-commutative`
18×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	45	42
2	75	40
3	110	40
4	143	40
5	167	40
6	206	40
7	228	40
8	242	40
9	253	40
10	254	40
0	6	6
1	14	6
2	17	6
0	17	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (exp (* a x)) 1)

Outputs
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))

Call 2

Inputs
(- (exp (* a x)) 1)
(- (exp (* (neg a) x)) 1)
(- (exp (* a (neg x))) 1)
(neg (- (exp (* (neg a) x)) 1))
(neg (- (exp (* a (neg x))) 1))
(- (exp (* x a)) 1)

Outputs
(- (exp (* a x)) 1)
(+ (pow (exp a) x) -1)
(- (exp (* (neg a) x)) 1)
(+ (pow (exp (neg a)) x) -1)
(- (exp (* a (neg x))) 1)
(+ (pow (exp (neg a)) x) -1)
(neg (- (exp (* (neg a) x)) 1))
(- 1 (pow (exp (neg a)) x))
(neg (- (exp (* a (neg x))) 1))
(- 1 (pow (exp (neg a)) x))
(- (exp (* x a)) 1)
(+ (pow (exp a) x) -1)

Symmetry

(sort a x)

explain72.0ms (0.7%)

Memory

17.0MiB live, 141.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
140	-	-	`(-.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	140	0

Confusion

	Predicted +	Predicted -
+	140	0
-	0	116

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	140	0	0
-	0	0	116

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	116
1	140

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 4.0ms (35.3% of total)

ival-mult: 4.0ms (35.3% of total)

ival-expm1: 3.0ms (26.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.1%)

Memory

-30.5MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(exp.f64 (*.f64 a x))
✓	cost-diff	128	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Rules

6×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`pow-lowering-pow.f64`
4×	`pow-lowering-pow.f32`
4×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	14	16
2	17	16
0	17	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(exp (* a x))
(* a x)
a
x
1

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

localize21.0ms (0.2%)

Memory

10.0MiB live, 47.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(exp.f64 (*.f64 a x))
✓	accuracy	50.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 5.0ms (60% of total)

ival-mult: 2.0ms (24% of total)

ival-expm1: 2.0ms (24% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (* a x)>

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(* a x)
0.0ms	a	@	0	(- (exp (* a x)) 1)
0.0ms	x	@	0	(- (exp (* a x)) 1)
0.0ms	a	@	0	(* a x)
0.0ms	x	@	-inf	(* a x)

rewrite141.0ms (1.4%)

Memory

31.0MiB live, 246.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

806×	`accelerator-lowering-fma.f32`
806×	`accelerator-lowering-fma.f64`
650×	`-lowering-.f32`
650×	`-lowering-.f64`
594×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	27	13
2	149	13
0	1340	11

Stop Event

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

Counts

3 → 111

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(exp (* a x))
(* a x)

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

simplify392.0ms (3.9%)

Memory

-11.3MiB live, 352.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 560×	`accelerator-lowering-fma.f32`
8 560×	`accelerator-lowering-fma.f64`
3 454×	`associate-r`
2 992×	`-lowering-.f32`
2 992×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)

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

eval21.0ms (0.2%)

Memory: 3.5MiB live, 42.0MiB allocated
Compiler: Compiled 3 242 to 329 computations (89.9% saved)

prune23.0ms (0.2%)

Memory

-0.5MiB live, 43.5MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	174	9	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	10	184

Accuracy

100.0%

Counts

184 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(fma.f64 (exp.f64 (.f64 a x)) (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))))
▶	99.6%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))
▶	18.8%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	50.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	17.4%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	67.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
	66.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	66.8%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))))
▶	67.8%	(*.f64 a x)
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 302 to 174 computations (42.4% saved)

simplify489.0ms (4.9%)

Memory

-12.3MiB live, 619.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 a (.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64))))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(+.f64 (*.f64 a x) #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(expm1.f64 (*.f64 a x))

Rules

19 076×	`accelerator-lowering-fma.f32`
19 076×	`accelerator-lowering-fma.f64`
4 326×	`+-lowering-+.f64`
4 326×	`+-lowering-+.f32`
3 842×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	179
1	80	179
2	225	179
3	946	179
4	2568	179
5	5382	179
0	8312	164

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(* a x)
a
x
(* a x)
a
x
(- (+ (* a x) 1) 1)
(+ (* a x) 1)
(* a x)
a
x
1
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))
(* a x)
a
x
(+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))
1
(* (* a x) (+ 1/2 (* x (* a 1/6))))
(+ 1/2 (* x (* a 1/6)))
1/2
(* x (* a 1/6))
(* a 1/6)
1/6
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
(- (exp (* a (* x 3))) 1)
(* a (* x 3))
a
(* x 3)
x
3
(+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))
(exp (* a x))
(* a x)
(+ 1 (exp (* a (* x 2))))
1
(exp (* a (* x 2)))
(* a (* x 2))
(* x 2)
2

Outputs
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
a
x
(* a x)
(*.f64 a x)
a
x
(- (+ (* a x) 1) 1)
(*.f64 a x)
(+ (* a x) 1)
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
a
x
1
#s(literal 1 binary64)
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
(* a x)
(*.f64 a x)
a
x
(+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
1
#s(literal 1 binary64)
(* (* a x) (+ 1/2 (* x (* a 1/6))))
(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(+ 1/2 (* x (* a 1/6)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* x (* a 1/6))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(* a 1/6)
(*.f64 a #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64)))))))
(- (exp (* a (* x 3))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))
(* a (* x 3))
(.f64 (.f64 a x) #s(literal 3 binary64))
a
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ (exp (* a x)) (+ 1 (exp (* a (* x 2)))))
(+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64))))))
(exp (* a x))
(exp.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(+ 1 (exp (* a (* x 2))))
(+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (.f64 a #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(exp (* a (* x 2)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(* a (* x 2))
(.f64 x (.f64 a #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize144.0ms (1.4%)

Memory

17.5MiB live, 173.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.7%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))
✓	accuracy	99.6%	(.f64 a (.f64 x #s(literal 3 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))
✓	accuracy	99.7%	(.f64 x (.f64 a #s(literal 1/6 binary64)))
✓	accuracy	99.4%	(*.f64 a #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(+.f64 (*.f64 a x) #s(literal 1 binary64))
✓	accuracy	50.6%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a x))

Samples

49.0ms	83×	2	valid
36.0ms	87×	1	valid
16.0ms	86×	0	valid

Compiler

Compiled 179 to 29 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 23.0ms (36.4% of total)

ival-add: 10.0ms (15.8% of total)

adjust: 8.0ms (12.7% of total)

ival-exp: 6.0ms (9.5% of total)

ival-expm1: 5.0ms (7.9% of total)

const: 4.0ms (6.3% of total)

ival-div: 3.0ms (4.8% of total)

ival-sub: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

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

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

series30.0ms (0.3%)

Memory

-6.5MiB live, 30.3MiB allocated

Counts

14 → 312

Calls

Call 1

Inputs
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (- (+ (* a x) 1) 1)>
#<alt (+ (* a x) 1)>
#<alt (* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))>
#<alt (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))>
#<alt (* (* a x) (+ 1/2 (* x (* a 1/6))))>
#<alt (/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))>
#<alt (- (exp (* a (* x 3))) 1)>
#<alt (* a (* x 3))>
#<alt (* x 3)>
#<alt (* a 1/6)>
#<alt (* x (* a 1/6))>
#<alt (exp (* a (* x 2)))>

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* a x)>
#<alt (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))>
#<alt (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))>
#<alt (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))>
#<alt (* 3 (* a x))>
#<alt (* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))>
#<alt (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))>
#<alt (* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (* 3 (* a x))>
#<alt (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))>
#<alt (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))>
#<alt (* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (- (exp (* 3 (* a x))) 1)>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 (* a x))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 a)>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* a (* x 3))
1.0ms	x	@	-inf	(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))
1.0ms	a	@	0	(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
1.0ms	x	@	0	(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
1.0ms	a	@	0	(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))

rewrite418.0ms (4.2%)

Memory

3.3MiB live, 515.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 150×	`accelerator-lowering-fma.f32`
5 150×	`accelerator-lowering-fma.f64`
4 322×	`-lowering-.f32`
4 322×	`-lowering-.f64`
4 234×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	94
1	170	94
2	1533	94
0	8474	82

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 814

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(* a x)
(- (+ (* a x) 1) 1)
(+ (* a x) 1)
(* (* a x) (+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6))))))
(+ 1 (* (* a x) (+ 1/2 (* x (* a 1/6)))))
(* (* a x) (+ 1/2 (* x (* a 1/6))))
(/ (- (exp (* a (* x 3))) 1) (+ (exp (* a x)) (+ 1 (exp (* a (* x 2))))))
(- (exp (* a (* x 3))) 1)
(* a (* x 3))
(* x 3)
(* a 1/6)
(* x (* a 1/6))
(exp (* a (* x 2)))

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

simplify531.0ms (5.3%)

Memory

38.2MiB live, 668.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 114×	`accelerator-lowering-fma.f32`
16 114×	`accelerator-lowering-fma.f64`
4 980×	`-lowering-.f32`
4 980×	`-lowering-.f64`
4 922×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	3024
1	1111	2972
2	3748	2792
0	8352	2534

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* a x)
(* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(* a x)
(* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(* 3 (* a x))
(* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(* 3 (* a x))
(* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(- (exp (* 3 (* a x))) 1)
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 (* a x))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 a)
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 (.f64 a (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 a (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 (.f64 x (.f64 x x)) x)) a))))))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a (.f64 a x)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a))) (.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (/ 1 a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a (+ x (/ 1 a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a (+ x (/ 1 a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* x (+ a (/ 1 x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 (.f64 a (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 (.f64 a (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 a (.f64 a a)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
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(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64)))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64)))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64)))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64)))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64)))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64)))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64)))))))
(/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (*.f64 a #s(literal 2 binary64)))))))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))
(.f64 a (.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 a #s(literal 9/2 binary64)) x))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))
(.f64 a (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 9/2 binary64) (.f64 (*.f64 a #s(literal 9/2 binary64)) x))))))
(* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))
(.f64 a (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 a (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 9/2 binary64) (.f64 (.f64 a #s(literal 9/2 binary64)) x))) (.f64 (.f64 a (.f64 (.f64 x (.f64 x x)) x)) (*.f64 a #s(literal 27/8 binary64)))))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))
(.f64 a (.f64 x (+.f64 #s(literal 3 binary64) (.f64 (.f64 a #s(literal 9/2 binary64)) x))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))
(.f64 x (+.f64 (.f64 a #s(literal 3 binary64)) (.f64 (.f64 #s(literal 9/2 binary64) x) (.f64 a (.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) a)))))
(* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))
(.f64 x (+.f64 (.f64 a #s(literal 3 binary64)) (.f64 x (+.f64 (.f64 #s(literal 9/2 binary64) (.f64 a (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) a))) (.f64 (.f64 x (.f64 x (.f64 (.f64 a (*.f64 a a)) a))) #s(literal 27/8 binary64))))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(- (exp (* 3 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 (* a x))
(.f64 a (.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 a)
(*.f64 a #s(literal 1/6 binary64))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
(* 1/6 (* a x))
(.f64 a (.f64 #s(literal 1/6 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 2 binary64))))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 a #s(literal 2 binary64)))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 a (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 a #s(literal 4/3 binary64)) x)))))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 2 binary64))))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 a #s(literal 2 binary64)))))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 a #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 x (.f64 (.f64 a (*.f64 a a)) #s(literal 4/3 binary64))))))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))
(exp (* 2 (* a x)))
(exp.f64 (.f64 x (.f64 a #s(literal 2 binary64))))

eval347.0ms (3.5%)

Memory: -70.5MiB live, 363.9MiB allocated
Compiler: Compiled 50 184 to 2 875 computations (94.3% saved)

prune160.0ms (1.6%)

Memory

21.7MiB live, 299.3MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 674	12	1 686
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	1 676	20	1 696

Accuracy

100.0%

Counts

1 696 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(/.f64 (fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))
	28.7%	(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 0 binary64)) (-.f64 (.f64 a x) #s(literal 0 binary64)))
	16.2%	(/.f64 (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 0 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 a x) #s(literal 0 binary64)))))
	66.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x))))
	66.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	18.8%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	50.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	17.4%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	26.8%	(.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 0 binary64))))
	17.9%	(.f64 (+.f64 (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) (+.f64 (.f64 a x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) (+.f64 (.f64 a x) #s(literal 1 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
▶	67.5%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
▶	67.8%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))))
✓	67.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
▶	66.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	60.5%	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a))) (.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))))
	64.0%	(.f64 x (+.f64 a (.f64 x (.f64 a (-.f64 (.f64 a #s(literal 3/2 binary64)) a)))))
	66.8%	(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x))
▶	66.8%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))))
✓	67.8%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 695 to 377 computations (45.8% saved)

simplify348.0ms (3.5%)

Memory

-3.3MiB live, 308.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))))
✓	cost-diff	0	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓	cost-diff	896	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 a x) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))))

Rules

9 184×	`accelerator-lowering-fma.f32`
9 184×	`accelerator-lowering-fma.f64`
4 470×	`-lowering-.f32`
4 470×	`-lowering-.f64`
1 520×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	304
1	111	304
2	378	304
3	1307	304
4	5282	304
5	6795	304
6	7404	304
7	7582	304
8	7584	304
9	7584	304
0	8187	271

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (* a x) (/ 1 (/ 1 (+ 1 (* a (* x (+ 1/2 (* a (* x 1/6)))))))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))))
(* a x)
(*.f64 a x)
a
x
(/ 1 (/ 1 (+ 1 (* a (* x (+ 1/2 (* a (* x 1/6))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
1
#s(literal 1 binary64)
(/ 1 (+ 1 (* a (* x (+ 1/2 (* a (* x 1/6)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))))
(+ 1 (* a (* x (+ 1/2 (* a (* x 1/6))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
(* a (* x (+ 1/2 (* a (* x 1/6)))))
(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(* x (+ 1/2 (* a (* x 1/6))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64))))
(+ 1/2 (* a (* x 1/6)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* a (* x 1/6))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(* (* a x) (+ 1 (* (* a x) 1/2)))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))
(* a x)
(*.f64 a x)
a
x
(+ 1 (* (* a x) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* (* a x) 1/2)
(.f64 (.f64 a x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (* (+ (* a x) 2) (* a x)) (/ 1 (+ (* a x) 2)))
(*.f64 a x)
(* (+ (* a x) 2) (* a x))
(.f64 x (.f64 a (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(+ (* a x) 2)
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(* a x)
(*.f64 a x)
a
x
2
#s(literal 2 binary64)
(/ 1 (+ (* a x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))))))
a
(* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64))))))))))
x
(+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))
1
#s(literal 1 binary64)
(* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))))
(* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64))))))))
(+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))
1/2
#s(literal 1/2 binary64)
(* (* a x) (+ 1/6 (* (* a x) 1/24)))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(* a x)
(*.f64 a x)
(+ 1/6 (* (* a x) 1/24))
(+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))
1/6
#s(literal 1/6 binary64)
(* (* a x) 1/24)
(.f64 a (.f64 x #s(literal 1/24 binary64)))
1/24
#s(literal 1/24 binary64)

localize123.0ms (1.2%)

Memory

12.6MiB live, 221.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))
✓	accuracy	98.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64))))))
✓	accuracy	98.5%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))))
✓	accuracy	97.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓	accuracy	81.7%	(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(.f64 (.f64 a x) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	98.1%	(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))

Samples

68.0ms

256×

valid

Compiler

Compiled 330 to 36 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 27.0ms (56.4% of total)

ival-add: 8.0ms (16.7% of total)

const: 6.0ms (12.5% of total)

ival-div: 5.0ms (10.5% of total)

ival-sub: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.3%)

Memory

10.4MiB live, 48.7MiB allocated

Counts

20 → 444

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ 1 (* a (* x (+ 1/2 (* a (* x 1/6))))))))>
#<alt (* (* a x) (/ 1 (/ 1 (+ 1 (* a (* x (+ 1/2 (* a (* x 1/6)))))))))>
#<alt (* a x)>
#<alt (/ 1 (+ 1 (* a (* x (+ 1/2 (* a (* x 1/6)))))))>
#<alt (- 1 1)>
#<alt (* (* a x) (+ 1 (* (* a x) 1/2)))>
#<alt (+ 1 (* (* a x) 1/2))>
#<alt (* (* a x) 1/2)>
#<alt (* (* (+ (* a x) 2) (* a x)) (/ 1 (+ (* a x) 2)))>
#<alt (* (+ (* a x) 2) (* a x))>
#<alt (+ (* a x) 2)>
#<alt (* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))>
#<alt (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))))>
#<alt (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))>
#<alt (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24))))))>
#<alt (* a (* x (+ 1/2 (* a (* x 1/6)))))>
#<alt (* x 1/6)>
#<alt (* a (* x 1/6))>
#<alt (/ 1 (+ (* a x) 2))>
#<alt (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))>
#<alt (+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* -1/12 (pow x 3))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))>
#<alt (/ 6 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))>
#<alt (/ (- (+ (* 6 (/ 1 (pow x 2))) (/ 18 (* (pow a 2) (pow x 4)))) (/ 18 (* a (pow x 3)))) (pow a 2))>
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 4)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 5)))) (* 6 (/ 1 (pow x 2))))) (/ 18 (* a (pow x 3)))) (pow a 2))>
#<alt (/ 6 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (- (* 18 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 18 (/ 1 (pow x 3)))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* -1/12 (pow a 3))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))>
#<alt (/ 6 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))>
#<alt (/ (- (+ (* 6 (/ 1 (pow a 2))) (/ 18 (* (pow a 4) (pow x 2)))) (/ 18 (* (pow a 3) x))) (pow x 2))>
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 4) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 5) (pow x 3)))) (* 6 (/ 1 (pow a 2))))) (/ 18 (* (pow a 3) x))) (pow x 2))>
#<alt (/ 6 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* 18 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* (pow a 5) x))) (* 18 (/ 1 (pow a 4)))) x)) (* 18 (/ 1 (pow a 3)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))>
#<alt (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))>
#<alt (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))>
#<alt (+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)>
#<alt (/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)>
#<alt (/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)>
#<alt (/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)>
#<alt (/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 (* a x))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>

Calls

111 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))
1.0ms	a	@	-inf	(* (* a x) (+ 1 (* (* a x) 1/2)))
1.0ms	x	@	-inf	(* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))
1.0ms	a	@	-inf	(* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))
1.0ms	x	@	-inf	(* (* a x) (+ 1 (* (* a x) 1/2)))

rewrite648.0ms (6.5%)

Memory

-13.5MiB live, 809.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 526×	`accelerator-lowering-fma.f32`
5 526×	`accelerator-lowering-fma.f64`
5 330×	`-lowering-.f32`
5 330×	`-lowering-.f64`
3 896×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	210
1	217	210
2	1778	210
0	8087	185

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 210

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
(+.f64 (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 a (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(fma.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))) a) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))) a #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) a) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))) a #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (-.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (-.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))) x) (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x))) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (*.f64 a x) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (-.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))) x)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (-.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))) x)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x))) (-.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))) (.f64 (.f64 a x) x)) (*.f64 x #s(literal 1/2 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 a x) #s(literal 1/24 binary64)))))) x)

simplify534.0ms (5.3%)

Memory

40.7MiB live, 829.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 582×	`accelerator-lowering-fma.f32`
11 582×	`accelerator-lowering-fma.f64`
7 218×	`-lowering-.f32`
7 218×	`-lowering-.f64`
3 470×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	630	5214
1	2103	5111
2	6676	5081
0	8312	4770

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* -1/12 (pow x 3))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
(/ 6 (* (pow a 2) (pow x 2)))
(/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))
(/ (- (+ (* 6 (/ 1 (pow x 2))) (/ 18 (* (pow a 2) (pow x 4)))) (/ 18 (* a (pow x 3)))) (pow a 2))
(/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 4)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 5)))) (* 6 (/ 1 (pow x 2))))) (/ 18 (* a (pow x 3)))) (pow a 2))
(/ 6 (* (pow a 2) (pow x 2)))
(/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))
(/ (+ (* -1 (/ (- (* 18 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 18 (/ 1 (pow x 3)))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* -1/12 (pow a 3))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
(/ 6 (* (pow a 2) (pow x 2)))
(/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/ (- (+ (* 6 (/ 1 (pow a 2))) (/ 18 (* (pow a 4) (pow x 2)))) (/ 18 (* (pow a 3) x))) (pow x 2))
(/ (- (+ (* 18 (/ 1 (* (pow a 4) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 5) (pow x 3)))) (* 6 (/ 1 (pow a 2))))) (/ 18 (* (pow a 3) x))) (pow x 2))
(/ 6 (* (pow a 2) (pow x 2)))
(/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/ (+ (* -1 (/ (- (* 18 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* (pow a 5) x))) (* 18 (/ 1 (pow a 4)))) x)) (* 18 (/ 1 (pow a 3)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* a x))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* 2 (* a x))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* 2 (* a x))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (+ (* 1/2 (/ x (pow a 2))) (/ 1 (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))) a)) (* -1/24 (pow x 3)))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2)))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))) x)) (* -1/24 (pow a 3)))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* a (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 2) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))) a)) (* -1/24 (pow x 3)))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 3) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* 1/24 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow a 2) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))) x)) (* -1/24 (pow a 3)))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))
(/ 1 (* a x))
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))
(/ 1 (* a x))
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))

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

eval596.0ms (5.9%)

Memory: -4.2MiB live, 837.1MiB allocated
Compiler: Compiled 104 794 to 7 647 computations (92.7% saved)

prune427.0ms (4.3%)

Memory

-20.3MiB live, 859.4MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	2 859	8	2 867
Fresh	7	3	10
Picked	5	0	5
Done	0	5	5
Total	2 871	16	2 887

Accuracy

100.0%

Counts

2 887 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(/.f64 (fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))
▶	67.8%	(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
	66.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	18.8%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	50.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	66.8%	(+.f64 (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))) (*.f64 a x))
	66.8%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
	65.2%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (.f64 x (.f64 (*.f64 a a) #s(literal 1/12 binary64))))))))
▶	71.7%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
✓	67.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
▶	16.9%	(.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
▶	64.0%	(.f64 x (+.f64 a (.f64 x (.f64 a (-.f64 (.f64 a #s(literal 3/2 binary64)) a)))))
	66.8%	(.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))) x))
✓	67.8%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	17.4%	#s(literal 0 binary64)

Compiler

Compiled 423 to 261 computations (38.3% saved)

simplify492.0ms (4.9%)

Memory

40.0MiB live, 743.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	128	(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
✓	cost-diff	0	(.f64 x (.f64 a (-.f64 (*.f64 a #s(literal 3/2 binary64)) a)))
✓	cost-diff	0	(+.f64 a (.f64 x (.f64 a (-.f64 (*.f64 a #s(literal 3/2 binary64)) a))))
✓	cost-diff	0	(.f64 x (+.f64 a (.f64 x (.f64 a (-.f64 (.f64 a #s(literal 3/2 binary64)) a)))))
✓	cost-diff	128	(-.f64 (*.f64 a #s(literal 3/2 binary64)) a)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 a x))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	128	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))

Rules

12 276×	`accelerator-lowering-fma.f32`
12 276×	`accelerator-lowering-fma.f64`
2 750×	`-lowering-.f32`
2 750×	`-lowering-.f64`
2 326×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	206
1	80	202
2	212	192
3	650	192
4	1627	192
5	3357	192
6	5181	192
7	7324	192
0	8243	178

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* a x) (/ 1 (+ 1 (* a (* x -1/2)))))
(* a x)
a
x
(/ 1 (+ 1 (* a (* x -1/2))))
1
(+ 1 (* a (* x -1/2)))
(* a (* x -1/2))
(* x -1/2)
-1/2
0
(* (* a x) (* 1/2 (* a x)))
(* a x)
a
x
(* 1/2 (* a x))
1/2
(* x (+ a (* x (* a (- (* a 3/2) a)))))
x
(+ a (* x (* a (- (* a 3/2) a))))
a
(* x (* a (- (* a 3/2) a)))
(* a (- (* a 3/2) a))
(- (* a 3/2) a)
(* a 3/2)
3/2
(/ (* a x) (/ 1 (+ 1 (* x (* a (+ 1/2 (* a (* x 1/6))))))))
(* a x)
a
x
(/ 1 (+ 1 (* x (* a (+ 1/2 (* a (* x 1/6)))))))
1
(+ 1 (* x (* a (+ 1/2 (* a (* x 1/6))))))
(* x (* a (+ 1/2 (* a (* x 1/6)))))
(* a (+ 1/2 (* a (* x 1/6))))
(+ 1/2 (* a (* x 1/6)))
1/2
(* a (* x 1/6))
(* x 1/6)
1/6

Outputs
(* (* a x) (/ 1 (+ 1 (* a (* x -1/2)))))
(.f64 a (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal -1/2 binary64))))))
(* a x)
(*.f64 a x)
a
x
(/ 1 (+ 1 (* a (* x -1/2))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* a (* x -1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal -1/2 binary64))))
(* a (* x -1/2))
(.f64 x (.f64 a #s(literal -1/2 binary64)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
0
#s(literal 0 binary64)
(* (* a x) (* 1/2 (* a x)))
(.f64 x (.f64 a (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(* a x)
(*.f64 a x)
a
x
(* 1/2 (* a x))
(.f64 x (.f64 a #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x (+ a (* x (* a (- (* a 3/2) a)))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))
x
(+ a (* x (* a (- (* a 3/2) a))))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))
a
(* x (* a (- (* a 3/2) a)))
(.f64 a (.f64 x (*.f64 a #s(literal 1/2 binary64))))
(* a (- (* a 3/2) a))
(.f64 a (.f64 a #s(literal 1/2 binary64)))
(- (* a 3/2) a)
(*.f64 a #s(literal 1/2 binary64))
(* a 3/2)
(*.f64 a #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(/ (* a x) (/ 1 (+ 1 (* x (* a (+ 1/2 (* a (* x 1/6))))))))
(.f64 x (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal -1/6 binary64)))))))
(* a x)
(*.f64 a x)
a
x
(/ 1 (+ 1 (* x (* a (+ 1/2 (* a (* x 1/6)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal -1/6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* x (* a (+ 1/2 (* a (* x 1/6))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal -1/6 binary64)))))
(* x (* a (+ 1/2 (* a (* x 1/6)))))
(.f64 (.f64 a x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal -1/6 binary64))))
(* a (+ 1/2 (* a (* x 1/6))))
(.f64 a (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal -1/6 binary64))))
(+ 1/2 (* a (* x 1/6)))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* a (* x 1/6))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize101.0ms (1%)

Memory

-41.8MiB live, 200.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))
✓	accuracy	99.7%	(.f64 a (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	97.0%	(.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	100.0%	(+.f64 a (.f64 x (.f64 a (-.f64 (*.f64 a #s(literal 3/2 binary64)) a))))
✓	accuracy	98.9%	(-.f64 (*.f64 a #s(literal 3/2 binary64)) a)
✓	accuracy	97.0%	(.f64 x (+.f64 a (.f64 x (.f64 a (-.f64 (.f64 a #s(literal 3/2 binary64)) a)))))
✓	accuracy	91.4%	(.f64 x (.f64 a (-.f64 (*.f64 a #s(literal 3/2 binary64)) a)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 a x))
✓	accuracy	99.7%	(.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
✓	accuracy	100.0%	(.f64 a (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	94.8%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))

Samples

63.0ms

256×

valid

Compiler

Compiled 208 to 32 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 30.0ms (66.2% of total)

ival-div: 5.0ms (11% of total)

ival-add: 4.0ms (8.8% of total)

const: 4.0ms (8.8% of total)

ival-sub: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series21.0ms (0.2%)

Memory

3.0MiB live, 41.7MiB allocated

Counts

17 → 384

Calls

Call 1

Inputs
#<alt (* (* a x) (/ 1 (+ 1 (* a (* x -1/2)))))>
#<alt (* a x)>
#<alt (/ 1 (+ 1 (* a (* x -1/2))))>
#<alt (+ 1 (* a (* x -1/2)))>
#<alt (* (* a x) (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (- (* a 3/2) a)>
#<alt (* x (+ a (* x (* a (- (* a 3/2) a)))))>
#<alt (+ a (* x (* a (- (* a 3/2) a))))>
#<alt (* x (* a (- (* a 3/2) a)))>
#<alt (/ (* a x) (/ 1 (+ 1 (* x (* a (+ 1/2 (* a (* x 1/6))))))))>
#<alt (/ 1 (+ 1 (* x (* a (+ 1/2 (* a (* x 1/6)))))))>
#<alt (+ 1 (* x (* a (+ 1/2 (* a (* x 1/6))))))>
#<alt (* a (* x -1/2))>
#<alt (* x (* a (+ 1/2 (* a (* x 1/6)))))>
#<alt (* x 1/6)>
#<alt (* a (* x 1/6))>

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)>
#<alt (- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)>
#<alt (- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 (* a x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (- (* 1/4 (* a (pow x 2))) (* -1/2 x))))>
#<alt (+ 1 (* a (- (* a (- (* 1/8 (* a (pow x 3))) (* -1/4 (pow x 2)))) (* -1/2 x))))>
#<alt (/ -2 (* a x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a))>
#<alt (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* a (pow x 3))))) a)) (* 2 (/ 1 x))) a)>
#<alt (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* a (pow x 4))))) (pow a 2))) (+ (* 2 (/ 1 x)) (/ 4 (* a (pow x 2))))) a)>
#<alt (/ -2 (* a x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a))>
#<alt (* -1 (/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* a (pow x 2))) (/ 8 (* (pow a 2) (pow x 3))))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* a (pow x 4)))) (* 8 (/ 1 (pow x 3)))) a)) (* 4 (/ 1 (pow x 2)))) a)) (* 2 (/ 1 x))) a))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (- (* 1/4 (* (pow a 2) x)) (* -1/2 a))))>
#<alt (+ 1 (* x (- (* x (- (* 1/8 (* (pow a 3) x)) (* -1/4 (pow a 2)))) (* -1/2 a))))>
#<alt (/ -2 (* a x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))) x))>
#<alt (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (* 8 (/ 1 (* (pow a 3) x)))) x)) (* 2 (/ 1 a))) x)>
#<alt (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow a 3))) (* 16 (/ 1 (* (pow a 4) x)))) (pow x 2))) (+ (* 2 (/ 1 a)) (/ 4 (* (pow a 2) x)))) x)>
#<alt (/ -2 (* a x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))) x))>
#<alt (* -1 (/ (+ (* 2 (/ 1 a)) (+ (/ 4 (* (pow a 2) x)) (/ 8 (* (pow a 3) (pow x 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* (pow a 4) x))) (* 8 (/ 1 (pow a 3)))) x)) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 a))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (* -1/2 (* a x))>
#<alt (* a (+ (* -1/2 x) (/ 1 a)))>
#<alt (* a (+ (* -1/2 x) (/ 1 a)))>
#<alt (* a (+ (* -1/2 x) (/ 1 a)))>
#<alt (* -1/2 (* a x))>
#<alt (* -1 (* a (- (* 1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/2 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (* -1/2 (* a x))>
#<alt (* x (+ (* -1/2 a) (/ 1 x)))>
#<alt (* x (+ (* -1/2 a) (/ 1 x)))>
#<alt (* x (+ (* -1/2 a) (/ 1 x)))>
#<alt (* -1/2 (* a x))>
#<alt (* -1 (* x (- (* 1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* 1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* 1/2 a) (/ 1 x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* a x)>
#<alt (* x (+ a (* a (* x (- (* 3/2 a) a)))))>
#<alt (* x (+ a (* a (* x (- (* 3/2 a) a)))))>
#<alt (* x (+ a (* a (* x (- (* 3/2 a) a)))))>
#<alt (* a (* (pow x 2) (- (* 3/2 a) a)))>
#<alt (* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))>
#<alt (* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))>
#<alt (* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))>
#<alt (* a (* (pow x 2) (- (* 3/2 a) a)))>
#<alt (* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))>
#<alt (* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))>
#<alt (* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* a (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))>
#<alt a>
#<alt (+ a (* a (* x (- (* 3/2 a) a))))>
#<alt (+ a (* a (* x (- (* 3/2 a) a))))>
#<alt (+ a (* a (* x (- (* 3/2 a) a))))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* x (+ (* a (- (* 3/2 a) a)) (/ a x)))>
#<alt (* x (+ (* a (- (* 3/2 a) a)) (/ a x)))>
#<alt (* x (+ (* a (- (* 3/2 a) a)) (/ a x)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* -1 (* x (+ (* -1 (* a (- (* 3/2 a) a))) (* -1 (/ a x)))))>
#<alt (* -1 (* x (+ (* -1 (* a (- (* 3/2 a) a))) (* -1 (/ a x)))))>
#<alt (* -1 (* x (+ (* -1 (* a (- (* 3/2 a) a))) (* -1 (/ a x)))))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* a (* x (- (* 3/2 a) a)))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* 1/2 (* (pow a 2) x))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* -1/12 (pow a 3))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))>
#<alt (/ 6 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))>
#<alt (/ (- (+ (* 6 (/ 1 (pow a 2))) (/ 18 (* (pow a 4) (pow x 2)))) (/ 18 (* (pow a 3) x))) (pow x 2))>
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 4) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 5) (pow x 3)))) (* 6 (/ 1 (pow a 2))))) (/ 18 (* (pow a 3) x))) (pow x 2))>
#<alt (/ 6 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (- (* 18 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* (pow a 5) x))) (* 18 (/ 1 (pow a 4)))) x)) (* 18 (/ 1 (pow a 3)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* a x)))>
#<alt (+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))>
#<alt (+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* -1/12 (pow x 3))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))>
#<alt (/ 6 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))>
#<alt (/ (- (+ (* 6 (/ 1 (pow x 2))) (/ 18 (* (pow a 2) (pow x 4)))) (/ 18 (* a (pow x 3)))) (pow a 2))>
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 4)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 5)))) (* 6 (/ 1 (pow x 2))))) (/ 18 (* a (pow x 3)))) (pow a 2))>
#<alt (/ 6 (* (pow a 2) (pow x 2)))>
#<alt (/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (- (* 18 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 18 (/ 1 (pow x 3)))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* -1/2 (* a x))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/6 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>
#<alt (* 1/6 (* a x))>

Calls

96 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(/ 1 (+ 1 (* a (* x -1/2))))
1.0ms	a	@	-inf	(+ 1 (* a (* x -1/2)))
1.0ms	a	@	0	(* (* a x) (* 1/2 (* a x)))
1.0ms	x	@	0	(* x (+ a (* x (* a (- (* a 3/2) a)))))
1.0ms	x	@	0	(* (* a x) (* 1/2 (* a x)))

rewrite453.0ms (4.5%)

Memory

-7.0MiB live, 780.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 120×	`accelerator-lowering-fma.f32`
7 120×	`accelerator-lowering-fma.f64`
4 958×	`-lowering-.f32`
4 958×	`-lowering-.f64`
3 962×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	153
1	161	151
2	1198	149
0	8340	137

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 725

Calls

Call 1

Inputs
(* (* a x) (/ 1 (+ 1 (* a (* x -1/2)))))
(* a x)
(/ 1 (+ 1 (* a (* x -1/2))))
(+ 1 (* a (* x -1/2)))
(* (* a x) (* 1/2 (* a x)))
(* 1/2 (* a x))
(- (* a 3/2) a)
(* x (+ a (* x (* a (- (* a 3/2) a)))))
(+ a (* x (* a (- (* a 3/2) a))))
(* x (* a (- (* a 3/2) a)))
(/ (* a x) (/ 1 (+ 1 (* x (* a (+ 1/2 (* a (* x 1/6))))))))
(/ 1 (+ 1 (* x (* a (+ 1/2 (* a (* x 1/6)))))))
(+ 1 (* x (* a (+ 1/2 (* a (* x 1/6))))))
(* a (* x -1/2))
(* x (* a (+ 1/2 (* a (* x 1/6)))))
(* x 1/6)
(* a (* x 1/6))

Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))) (/.f64 (.f64 a x) (-.f64 #s(literal -1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 a x) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 a x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) (*.f64 a x))))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal -1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) a)) (.f64 (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 a x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (.f64 a x) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 x (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) a))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (.f64 a x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) (*.f64 a x)) #s(literal -1 binary64))
(.f64 a (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))))
(.f64 x (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))) (.f64 a x))
(.f64 (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 x (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) a)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))) a) x)
(.f64 (/.f64 (.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))))
(.f64 (/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(.f64 (/.f64 (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))))
(.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) x)
(.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))))
(.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) a)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a x) #s(literal -1 binary64)))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) a)))
(/.f64 (*.f64 a x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1 binary64))
(*.f64 a x)
(*.f64 x a)
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) a)))
(.f64 (.f64 x (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 a (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (/.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 a (.f64 x #s(literal -1/2 binary64)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 a (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 #s(literal 1/36 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (.f64 a x)) (.f64 (+.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (+.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/36 binary64) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 x (.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 a x) (.f64 (*.f64 a x) #s(literal 1/6 binary64)))))))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64))))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64))))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64)) x) (.f64 (.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64)) x))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 a x)))) (-.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 a x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 a x))) (.f64 (.f64 x (.f64 a #s(literal 1/2 binary64))) (.f64 x (.f64 a #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 x (.f64 a #s(literal 1/2 binary64)))))
(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
(.f64 a (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) x))
(.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))))
(.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 a x))
(.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) x)
(.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/6 binary64)))) a)
(.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) (+.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/36 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 a x)))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(.f64 x (.f64 a #s(literal 1/6 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) a))
(.f64 (.f64 a x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 a x))
(.f64 (.f64 x #s(literal 1/6 binary64)) a)
(.f64 (.f64 a #s(literal 1/6 binary64)) x)

simplify617.0ms (6.1%)

Memory

30.5MiB live, 934.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 030×	`accelerator-lowering-fma.f32`
14 030×	`accelerator-lowering-fma.f64`
6 618×	`-lowering-.f32`
6 618×	`-lowering-.f64`
3 602×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	3742
1	1454	3710
2	4196	3548
0	8391	3384

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))
(* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (- (* 1/4 (* a (pow x 2))) (* -1/2 x))))
(+ 1 (* a (- (* a (- (* 1/8 (* a (pow x 3))) (* -1/4 (pow x 2)))) (* -1/2 x))))
(/ -2 (* a x))
(* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a))
(/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* a (pow x 3))))) a)) (* 2 (/ 1 x))) a)
(/ (- (* -1 (/ (+ (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* a (pow x 4))))) (pow a 2))) (+ (* 2 (/ 1 x)) (/ 4 (* a (pow x 2))))) a)
(/ -2 (* a x))
(* -1 (/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* a (pow x 2))))) a))
(* -1 (/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* a (pow x 2))) (/ 8 (* (pow a 2) (pow x 3))))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* a (pow x 4)))) (* 8 (/ 1 (pow x 3)))) a)) (* 4 (/ 1 (pow x 2)))) a)) (* 2 (/ 1 x))) a))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (- (* 1/4 (* (pow a 2) x)) (* -1/2 a))))
(+ 1 (* x (- (* x (- (* 1/8 (* (pow a 3) x)) (* -1/4 (pow a 2)))) (* -1/2 a))))
(/ -2 (* a x))
(* -1 (/ (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))) x))
(/ (- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (* 8 (/ 1 (* (pow a 3) x)))) x)) (* 2 (/ 1 a))) x)
(/ (- (* -1 (/ (+ (* 8 (/ 1 (pow a 3))) (* 16 (/ 1 (* (pow a 4) x)))) (pow x 2))) (+ (* 2 (/ 1 a)) (/ 4 (* (pow a 2) x)))) x)
(/ -2 (* a x))
(* -1 (/ (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))) x))
(* -1 (/ (+ (* 2 (/ 1 a)) (+ (/ 4 (* (pow a 2) x)) (/ 8 (* (pow a 3) (pow x 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* (pow a 4) x))) (* 8 (/ 1 (pow a 3)))) x)) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 a))) x))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* -1/2 (* a x)))
(+ 1 (* -1/2 (* a x)))
(* -1/2 (* a x))
(* a (+ (* -1/2 x) (/ 1 a)))
(* a (+ (* -1/2 x) (/ 1 a)))
(* a (+ (* -1/2 x) (/ 1 a)))
(* -1/2 (* a x))
(* -1 (* a (- (* 1/2 x) (/ 1 a))))
(* -1 (* a (- (* 1/2 x) (/ 1 a))))
(* -1 (* a (- (* 1/2 x) (/ 1 a))))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* -1/2 (* a x)))
(+ 1 (* -1/2 (* a x)))
(* -1/2 (* a x))
(* x (+ (* -1/2 a) (/ 1 x)))
(* x (+ (* -1/2 a) (/ 1 x)))
(* x (+ (* -1/2 a) (/ 1 x)))
(* -1/2 (* a x))
(* -1 (* x (- (* 1/2 a) (/ 1 x))))
(* -1 (* x (- (* 1/2 a) (/ 1 x))))
(* -1 (* x (- (* 1/2 a) (/ 1 x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 (* a x))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* a x)
(* x (+ a (* a (* x (- (* 3/2 a) a)))))
(* x (+ a (* a (* x (- (* 3/2 a) a)))))
(* x (+ a (* a (* x (- (* 3/2 a) a)))))
(* a (* (pow x 2) (- (* 3/2 a) a)))
(* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))
(* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))
(* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))
(* a (* (pow x 2) (- (* 3/2 a) a)))
(* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))
(* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))
(* (pow x 2) (+ (* a (- (* 3/2 a) a)) (/ a x)))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
a
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* 1/2 (* a x))))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
a
(+ a (* a (* x (- (* 3/2 a) a))))
(+ a (* a (* x (- (* 3/2 a) a))))
(+ a (* a (* x (- (* 3/2 a) a))))
(* a (* x (- (* 3/2 a) a)))
(* x (+ (* a (- (* 3/2 a) a)) (/ a x)))
(* x (+ (* a (- (* 3/2 a) a)) (/ a x)))
(* x (+ (* a (- (* 3/2 a) a)) (/ a x)))
(* a (* x (- (* 3/2 a) a)))
(* -1 (* x (+ (* -1 (* a (- (* 3/2 a) a))) (* -1 (/ a x)))))
(* -1 (* x (+ (* -1 (* a (- (* 3/2 a) a))) (* -1 (/ a x)))))
(* -1 (* x (+ (* -1 (* a (- (* 3/2 a) a))) (* -1 (/ a x)))))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* a (* x (- (* 3/2 a) a)))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* 1/2 (* (pow a 2) x))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* x (- (* -1 (* x (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* -1/12 (pow a 3))))) (+ (* -1/4 (pow a 2)) (* 1/6 (pow a 2))))) (* 1/2 a))))
(/ 6 (* (pow a 2) (pow x 2)))
(/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/ (- (+ (* 6 (/ 1 (pow a 2))) (/ 18 (* (pow a 4) (pow x 2)))) (/ 18 (* (pow a 3) x))) (pow x 2))
(/ (- (+ (* 18 (/ 1 (* (pow a 4) (pow x 2)))) (+ (* 54 (/ 1 (* (pow a 5) (pow x 3)))) (* 6 (/ 1 (pow a 2))))) (/ 18 (* (pow a 3) x))) (pow x 2))
(/ 6 (* (pow a 2) (pow x 2)))
(/ (- (* 6 (/ 1 (pow a 2))) (* 18 (/ 1 (* (pow a 3) x)))) (pow x 2))
(/ (+ (* -1 (/ (- (* 18 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* (pow a 5) x))) (* 18 (/ 1 (pow a 4)))) x)) (* 18 (/ 1 (pow a 3)))) x)) (* 6 (/ 1 (pow a 2)))) (pow x 2))
1
(+ 1 (* -1/2 (* a x)))
(+ 1 (* a (- (* -1 (* a (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* -1/12 (pow x 3))))) (+ (* -1/4 (pow x 2)) (* 1/6 (pow x 2))))) (* 1/2 x))))
(/ 6 (* (pow a 2) (pow x 2)))
(/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))
(/ (- (+ (* 6 (/ 1 (pow x 2))) (/ 18 (* (pow a 2) (pow x 4)))) (/ 18 (* a (pow x 3)))) (pow a 2))
(/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 4)))) (+ (* 54 (/ 1 (* (pow a 3) (pow x 5)))) (* 6 (/ 1 (pow x 2))))) (/ 18 (* a (pow x 3)))) (pow a 2))
(/ 6 (* (pow a 2) (pow x 2)))
(/ (- (* 6 (/ 1 (pow x 2))) (* 18 (/ 1 (* a (pow x 3))))) (pow a 2))
(/ (+ (* -1 (/ (- (* 18 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 54 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 18 (/ 1 (pow x 3)))) a)) (* 6 (/ 1 (pow x 2)))) (pow a 2))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 a) (/ 1 x)) x)) (* 1/6 (pow a 2))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 a)) a)) (* 1/6 (pow x 2))))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* -1/2 (* a x))
(* 1/2 (* a x))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* 1/2 (* a x))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))
(* 1/6 (* a x))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x (+.f64 (.f64 (.f64 a #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)))))))
(* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64)))) (.f64 x (.f64 (.f64 x x) #s(literal 1/4 binary64))))) (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 x x)))) a))
(- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))
(-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x x)) (/.f64 #s(literal 16 binary64) (.f64 a (.f64 x (.f64 x x))))) (.f64 a a)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 x x)))) a))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 a (.f64 x x))) (/.f64 #s(literal 16 binary64) (.f64 a (.f64 a (.f64 x (.f64 x x))))))) a))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) x))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (.f64 x (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 4 binary64)))) (.f64 a (.f64 #s(literal 1/4 binary64) (.f64 a a))))) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 a a)))) x))
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))
(-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 a a)) (/.f64 #s(literal 16 binary64) (.f64 a (.f64 x (.f64 a a))))) (.f64 x x)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 a a)))) x))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 a a)))) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 a (.f64 x (.f64 a a)))))) x))
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
(* a x)
(*.f64 a x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))
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(.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x x) (.f64 a (+.f64 (.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x x) (.f64 a (+.f64 (.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x x) (.f64 a (+.f64 (.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x x) (.f64 a (+.f64 (.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x x) (.f64 a (+.f64 (.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (.f64 x x) (.f64 a (+.f64 (.f64 a #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
(* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))
(.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/6 binary64)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))
(* 1/6 (* (pow a 2) (pow x 2)))
(.f64 a (.f64 (.f64 a (.f64 x x)) #s(literal 1/6 binary64)))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 2) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 a a) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) a))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))

eval160.0ms (1.6%)

Memory: 22.1MiB live, 450.5MiB allocated
Compiler: Compiled 34 028 to 3 168 computations (90.7% saved)

prune203.0ms (2%)

Memory

-35.9MiB live, 449.9MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1 208	18	1 226
Fresh	3	3	6
Picked	3	2	5
Done	1	4	5
Total	1 215	27	1 242

Accuracy

100.0%

Counts

1 242 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(/.f64 (fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))
	65.2%	(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 a a)) #s(literal 1/12 binary64))))))
	70.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
✓	50.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	66.8%	(+.f64 (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))) (*.f64 a x))
	7.2%	(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
	63.2%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
	71.9%	(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) a)
	63.2%	(.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
	71.9%	(.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) x)
	71.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))) a) x)
	5.8%	(.f64 (.f64 a x) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) (.f64 a (.f64 x x)))) a))
	5.9%	(.f64 (.f64 a x) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal -4 binary64) (.f64 x (.f64 a a)))) x))
	63.5%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))))
	62.3%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 a x) (.f64 a x))) #s(literal 1/16 binary64)) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))))
	62.5%	(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 a x) (.f64 a x))) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))))
	7.2%	(.f64 (.f64 a x) (/.f64 #s(literal -2 binary64) (*.f64 a x)))
✓	67.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
	67.7%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 (.f64 (.f64 a #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))))
	63.5%	(.f64 (.f64 a x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64))))))
✓	16.9%	(.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
	66.8%	(.f64 x (+.f64 a (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))
	66.8%	(.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))) x))
✓	67.8%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	17.4%	#s(literal 0 binary64)
	8.6%	#s(literal -2 binary64)

Compiler

Compiled 1 406 to 548 computations (61% saved)

regimes114.0ms (1.1%)

Memory

15.8MiB live, 171.9MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
(.f64 (.f64 a x) (/.f64 #s(literal -2 binary64) (*.f64 a x)))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x))
(.f64 x (+.f64 a (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
(.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) x)
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) a)
(.f64 x (+.f64 a (.f64 x (.f64 a (-.f64 (.f64 a #s(literal 3/2 binary64)) a)))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))) a) x)
(+.f64 (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))) (*.f64 a x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 0 binary64)) (-.f64 (.f64 a x) #s(literal 0 binary64)))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 (.f64 (.f64 a #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
(.f64 (.f64 a x) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal -4 binary64) (.f64 x (.f64 a a)))) x))
(.f64 (.f64 a x) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) (.f64 a (.f64 x x)))) a))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x))))
(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 a a)) #s(literal 1/12 binary64))))))
(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (.f64 x (.f64 (*.f64 a a) #s(literal 1/12 binary64))))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))))
(.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))) x))
(.f64 (.f64 a x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))))
(.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 0 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 a x) #s(literal 0 binary64)))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a))) (.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))))
(.f64 (+.f64 (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) (+.f64 (.f64 a x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) (+.f64 (.f64 a x) #s(literal 1 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 a x) (.f64 a x))) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 a x) (.f64 a x))) #s(literal 1/16 binary64)) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (exp.f64 (.f64 a x)) (/.f64 (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 2 binary64)))))))))

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

Calls

5 calls:

37.0ms	(exp.f64 (*.f64 a x))
30.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
15.0ms	a
15.0ms	x
12.0ms	(*.f64 a x)

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes40.0ms (0.4%)

Memory

-16.5MiB live, 104.8MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
(.f64 (.f64 a x) (/.f64 #s(literal -2 binary64) (*.f64 a x)))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x))
(.f64 x (+.f64 a (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)
(.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) x)
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) a)
(.f64 x (+.f64 a (.f64 x (.f64 a (-.f64 (.f64 a #s(literal 3/2 binary64)) a)))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))) a) x)
(+.f64 (.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))))) (*.f64 a x))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 0 binary64)) (-.f64 (.f64 a x) #s(literal 0 binary64)))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 (.f64 (.f64 a #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
(.f64 (.f64 a x) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal -4 binary64) (.f64 x (.f64 a a)))) x))
(.f64 (.f64 a x) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) (.f64 a (.f64 x x)))) a))
(.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x))))
(/.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 a a)) #s(literal 1/12 binary64))))))
(/.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 a #s(literal -1/2 binary64)) (.f64 x (.f64 (*.f64 a a) #s(literal 1/12 binary64))))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))))))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))))))))
(.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))))) x))
(.f64 (.f64 a x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64)))))))
(.f64 (/.f64 a (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 0 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 a x) #s(literal 0 binary64)))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a (.f64 a a)) a))) (.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 a a)))))))))
(.f64 (+.f64 (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) (+.f64 (.f64 a x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 (.f64 a x) #s(literal 1 binary64)) (+.f64 (.f64 a x) #s(literal 1 binary64))) (+.f64 (.f64 a x) #s(literal 2 binary64)))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 a x) (.f64 a x))) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))))
(.f64 (.f64 a x) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x))) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 a x) (.f64 a x))) #s(literal 1/16 binary64)) (.f64 (.f64 a a) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 a #s(literal 1/2 binary64))))))))

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

Calls

3 calls:

13.0ms	(*.f64 a x)
12.0ms	x
12.0ms	a

Results

Accuracy	Segments	Branch
71.9%	1	`a`
71.9%	1	`x`
71.9%	1	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes16.0ms (0.2%)

Memory

6.2MiB live, 43.2MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
(.f64 (.f64 a x) (/.f64 #s(literal -2 binary64) (*.f64 a x)))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x))
(.f64 x (+.f64 a (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64)))) a) x)

Outputs
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(.f64 x (+.f64 a (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64))))))

Calls

3 calls:

7.0ms	x
4.0ms	a
4.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
67.8%	1	`x`
72.7%	2	`(*.f64 a x)`
67.8%	1	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
(.f64 (.f64 a x) (/.f64 #s(literal -2 binary64) (*.f64 a x)))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x))

Outputs
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x))

Calls

1 calls:

3.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
72.7%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
(.f64 (.f64 a x) (/.f64 #s(literal -2 binary64) (*.f64 a x)))

Outputs
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(*.f64 a x)

Calls

1 calls:

3.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
72.3%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes2.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
#s(literal -2 binary64)
(*.f64 a x)

Calls

1 calls:

2.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
72.3%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes6.0ms (0.1%)

Memory

-30.7MiB live, 12.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)

Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)

Calls

2 calls:

4.0ms	a
2.0ms	x

Results

Accuracy	Segments	Branch
21.3%	2	`x`
21.5%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)

Outputs
#s(literal -2 binary64)

Calls

2 calls:

1.0ms	a
1.0ms	x

Results

Accuracy	Segments	Branch
8.6%	1	`x`
8.6%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1000.0815114057035	-0.6380065943620815

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1000.0815114057035	-0.6380065943620815

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch9.0ms (0.1%)

Memory

-17.1MiB live, 22.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-1000.0815114057035	-0.6380065943620815

Samples

4.0ms

128×

valid

Compiler

Compiled 107 to 89 computations (16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-expm1: 1.0ms (72.7% of total)

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

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

bsearch8.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-1000.0815114057035	-0.6380065943620815

Samples

4.0ms

128×

valid

Compiler

Compiled 75 to 65 computations (13.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-expm1: 1.0ms (70.2% of total)

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

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

bsearch8.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-1.2035655910491181e-5	-3.1484323607250636e-7

Samples

4.0ms

112×

valid

Compiler

Compiled 67 to 65 computations (3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (62.5% of total)

ival-expm1: 1.0ms (62.5% of total)

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

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

simplify54.0ms (0.5%)

Memory

-27.9MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
8×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	96
1	55	96

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) x)
(if (<=.f64 (.f64 a x) #s(literal -1000 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 x (+.f64 a (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 a x) #s(literal -1000 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x)))
(if (<=.f64 (.f64 a x) #s(literal -5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 a x))
(if (<=.f64 a #s(literal -3022314549036573/9444732965739290427392 binary64)) #s(literal -2 binary64) #s(literal 0 binary64))
#s(literal -2 binary64)

Outputs
(expm1.f64 (*.f64 a x))
(.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))) x)
(.f64 x (/.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal -1/2 binary64))))))
(if (<=.f64 (.f64 a x) #s(literal -1000 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 x (+.f64 a (.f64 a (.f64 a (.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 a x) #s(literal -1000 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 a (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) x)))
(if (<=.f64 (.f64 a x) #s(literal -1000 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 a x) #s(literal -5404319552844595/2251799813685248 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 a x))
(if (<=.f64 a #s(literal -3022314549036573/9444732965739290427392 binary64)) #s(literal -2 binary64) #s(literal 0 binary64))
#s(literal -2 binary64)

soundness1.6s (16.2%)

Memory

-4.4MiB live, 1 073.7MiB allocated

Rules

16 114×	`accelerator-lowering-fma.f32`
16 114×	`accelerator-lowering-fma.f64`
14 030×	`accelerator-lowering-fma.f32`
14 030×	`accelerator-lowering-fma.f64`
11 582×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	210
1	217	210
2	1778	210
0	8087	185
0	468	3742
1	1454	3710
2	4196	3548
0	8391	3384
0	6	13
1	27	13
2	149	13
0	1340	11
0	630	5214
1	2103	5111
2	6676	5081
0	8312	4770
0	323	3024
1	1111	2972
2	3748	2792
0	8352	2534
0	28	94
1	170	94
2	1533	94
0	8474	82
0	29	153
1	161	151
2	1198	149
0	8340	137
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

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

Compiler

Compiled 353 to 224 computations (36.5% saved)

preprocess53.0ms (0.5%)

Memory: 24.1MiB live, 140.8MiB allocated
Remove: (sort a x)
Compiler: Compiled 248 to 112 computations (54.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	42
1	45	42
2	75	40
3	110	40
4	143	40
5	167	40
6	206	40
7	228	40
8	242	40
9	253	40
10	254	40
0	6	6
1	14	6
2	17	6
0	17	4

Iter	Nodes	Cost
0	19	42
1	45	42
2	75	40
3	110	40
4	143	40
5	167	40
6	206	40
7	228	40
8	242	40
9	253	40
10	254	40
0	6	6
1	14	6
2	17	6
0	17	4

analyze18.0ms (0.2%)

sample493.0ms (4.9%)

preprocess20.0ms (0.2%)

explain72.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize21.0ms (0.2%)

series4.0ms (0%)

rewrite141.0ms (1.4%)

simplify392.0ms (3.9%)

eval21.0ms (0.2%)

prune23.0ms (0.2%)

simplify489.0ms (4.9%)

localize144.0ms (1.4%)

series30.0ms (0.3%)

rewrite418.0ms (4.2%)

simplify531.0ms (5.3%)

eval347.0ms (3.5%)

prune160.0ms (1.6%)

simplify348.0ms (3.5%)

localize123.0ms (1.2%)

series32.0ms (0.3%)

rewrite648.0ms (6.5%)

simplify534.0ms (5.3%)

eval596.0ms (5.9%)

prune427.0ms (4.3%)

simplify492.0ms (4.9%)

localize101.0ms (1%)

series21.0ms (0.2%)

rewrite453.0ms (4.5%)

simplify617.0ms (6.1%)

eval160.0ms (1.6%)

prune203.0ms (2%)

regimes114.0ms (1.1%)

regimes40.0ms (0.4%)

regimes16.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

bsearch8.0ms (0.1%)

bsearch8.0ms (0.1%)

simplify54.0ms (0.5%)

soundness1.6s (16.2%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	42
1	45	42
2	75	40
3	110	40
4	143	40
5	167	40
6	206	40
7	228	40
8	242	40
9	253	40
10	254	40
0	6	6
1	14	6
2	17	6
0	17	4