Metrics for expax (section 3.5)

analyze53.0ms (0.5%)

Memory

-43.9MiB live, 45.4MiB 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)

sample545.0ms (4.9%)

Memory

30.4MiB live, 922.7MiB allocated

Samples

345.0ms	8 256×	0	valid
14.0ms	336×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 100.0ms (52.2% of total)

ival-expm1: 57.0ms (29.8% of total)

ival->: 24.0ms (12.5% of total)

exact: 7.0ms (3.7% of total)

ival-assert: 4.0ms (2.1% of total)

Bogosity

preprocess15.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB 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

-27.8MiB live, 130.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
137	1	(-5.283834269195279e-276 8.777461176962146e-49)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
1	1	(-8.822309918703587e+140 2.196798545001275e-139)	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	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	138	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	138	0
-	2	116

Precision

0.9857142857142858

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	138	0	0
-	2	0	116

Precision?

0.9857142857142858

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

27.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 5.0ms (39% of total)

ival-mult: 4.0ms (31.2% of total)

ival-expm1: 3.0ms (23.4% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Memory

4.6MiB live, 4.6MiB 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

1.1MiB live, 42.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))
✓	accuracy	50.9%	(-.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: 4.0ms (50% of total)

ival-mult: 2.0ms (25% of total)

ival-expm1: 2.0ms (25% 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

6.4MiB live, 6.4MiB 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	@	0	(- (exp (* a x)) 1)
0.0ms	a	@	inf	(* a x)
0.0ms	x	@	0	(- (exp (* a x)) 1)
0.0ms	a	@	0	(* a x)
0.0ms	x	@	inf	(* a x)

rewrite109.0ms (1%)

Memory

-7.0MiB live, 106.1MiB 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)

simplify355.0ms (3.2%)

Memory

7.2MiB live, 406.6MiB 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)

eval20.0ms (0.2%)

Memory: 7.4MiB live, 46.1MiB allocated
Compiler: Compiled 3 242 to 329 computations (89.9% saved)

prune21.0ms (0.2%)

Memory

16.3MiB live, 55.2MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	172	11	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	11	184

Accuracy

100.0%

Counts

184 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
▶	19.1%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	17.9%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
	17.3%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	99.9%	(.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)))))
	99.9%	(.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)))))
	68.0%	(.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)))))))
	66.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
▶	67.1%	(.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))))))))))
▶	67.7%	(*.f64 a x)
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 296 to 192 computations (35.1% saved)

simplify518.0ms (4.7%)

Memory

0.8MiB live, 751.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))) #s(literal 1 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

13 368×	`accelerator-lowering-fma.f32`
13 368×	`accelerator-lowering-fma.f64`
3 976×	`-lowering-.f32`
3 976×	`-lowering-.f64`
3 540×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	232
1	86	228
2	286	224
3	1391	224
4	2021	224
5	4149	224
6	6376	224
0	8091	199

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

localize160.0ms (1.4%)

Memory

-2.3MiB live, 281.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))
✓	accuracy	99.2%	(.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	96.7%	(.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 (.f64 a x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
✓	accuracy	50.9%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 a x) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	50.9%	(-.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

39.0ms	97×	1	valid
38.0ms	72×	2	valid
34.0ms	87×	0	valid

Compiler

Compiled 232 to 26 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 43.0ms (51.4% of total)

ival-add: 13.0ms (15.5% of total)

adjust: 8.0ms (9.6% of total)

const: 8.0ms (9.6% of total)

ival-sub: 7.0ms (8.4% of total)

ival-expm1: 3.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Memory

-20.3MiB live, 55.1MiB allocated

Counts

14 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(* a (* x (+ 1 (* a (* x (+ 1/2 (* (* a x) (+ 1/6 (* (* a x) 1/24)))))))))
2.0ms	a	@	0	(* (* a x) 1/2)
1.0ms	a	@	0	(- (+ 1 (* (* a x) (+ 1 (* (* a x) 1/2)))) 1)
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)))))))))

rewrite523.0ms (4.7%)

Memory

53.5MiB live, 873.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 192×	`accelerator-lowering-fma.f32`
6 192×	`accelerator-lowering-fma.f64`
4 972×	`-lowering-.f32`
4 972×	`-lowering-.f64`
3 542×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	167
1	186	165
2	1787	165
0	8647	143

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 656

Calls

Call 1

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

Outputs
(+.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 x)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))) x)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))))
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(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))) x)
(+.f64 (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))))) (/.f64 (.f64 (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))))))
(fma.f64 a (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 a x) a) (*.f64 x #s(literal 1/24 binary64))))
(fma.f64 a (.f64 x (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 a (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 a x)) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 a (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 a #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 a x) a) (*.f64 x #s(literal 1/24 binary64))))
(fma.f64 (.f64 a x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a x) a) (*.f64 x #s(literal 1/24 binary64))))
(fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 a x) (.f64 (.f64 (.f64 a x) a) (*.f64 x #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/24 binary64) (.f64 a (.f64 x (.f64 a x))) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (.f64 a x) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/24 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) a (.f64 (.f64 (.f64 a x) a) (*.f64 x #s(literal 1/24 binary64))))
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) x) a (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64)) (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) a) x (.f64 a (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) x (.f64 (.f64 (.f64 a x) a) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/216 binary64)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64)))) (+.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 a x) a) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))) (.f64 a x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))) (.f64 a x)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64)))))) (neg.f64 (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))) (.f64 a x))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 a (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/576 binary64))) (.f64 a x))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (.f64 a x)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/13824 binary64))) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/216 binary64))) (+.f64 (.f64 (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))) (.f64 a (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 a (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(.f64 x (.f64 a (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))))
(.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))) (.f64 a x))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64))))) a)
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))) a) x)

simplify666.0ms (6%)

Memory

-0.6MiB live, 1 144.1MiB allocated

Algorithm

1×	egg-herbie

Rules

23 296×	`accelerator-lowering-fma.f32`
23 296×	`accelerator-lowering-fma.f64`
6 318×	`-lowering-.f32`
6 318×	`-lowering-.f64`
4 658×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	3831
1	1211	3776
2	3991	3606
0	8082	3318

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

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

eval409.0ms (3.7%)

Memory: -14.1MiB live, 469.1MiB allocated
Compiler: Compiled 46 317 to 4 229 computations (90.9% saved)

prune331.0ms (3%)

Memory

27.5MiB live, 304.5MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 502	18	1 520
Fresh	2	4	6
Picked	1	4	5
Done	0	0	0
Total	1 505	26	1 531

Accuracy

100.0%

Counts

1 531 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.5%	(/.f64 (-.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 0 binary64)) (-.f64 (.f64 a x) #s(literal 0 binary64)))
	18.5%	(/.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 (.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))))
	23.4%	(/.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)))))
	67.4%	(/.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (+.f64 (.f64 a x) #s(literal 2 binary64)))
	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
	18.5%	(/.f64 #s(literal 1 binary64) (/.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 (.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))))
▶	66.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64)))))
▶	18.3%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
	18.8%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -1 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -1 binary64)))) #s(literal 1 binary64))
✓	19.1%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	17.9%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
	3.5%	(-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64))
▶	17.3%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	67.1%	(+.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) a))
	19.2%	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
▶	99.9%	(.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)))))
	67.4%	(.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))))
▶	42.1%	(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 a x)))
	68.0%	(.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)))))))
	66.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	67.1%	(.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) x))
	53.7%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64)))))))))))
	66.8%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
✓	67.7%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 1 009 to 507 computations (49.8% saved)

simplify537.0ms (4.8%)

Memory

-9.7MiB live, 905.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x)))))))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(+.f64 (*.f64 a x) #s(literal 2 binary64))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x))))
✓	cost-diff	640	(/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 a a))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 a x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 a x)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 (*.f64 a x))
✓	cost-diff	0	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
✓	cost-diff	6912	(.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)))))

Rules

23 052×	`accelerator-lowering-fma.f32`
23 052×	`accelerator-lowering-fma.f64`
5 146×	`-lowering-.f32`
5 146×	`-lowering-.f64`
2 530×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	285
1	92	243
2	243	231
3	625	229
4	3870	222
0	8095	206

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize550.0ms (5%)

Memory

9.8MiB live, 321.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x)))))))
✓	accuracy	99.9%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
✓	accuracy	97.3%	(.f64 a (.f64 x (*.f64 a x)))
✓	accuracy	79.3%	(/.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x))))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (*.f64 a x))
✓	accuracy	83.8%	(/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 a a))
✓	accuracy	98.7%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 a x))
✓	accuracy	91.8%	(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 a x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	100.0%	(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))

Samples

441.0ms	169×	1	exit
20.0ms	87×	0	valid

Compiler

Compiled 299 to 35 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 17.0ms (36.9% of total)

ival-div: 9.0ms (19.6% of total)

adjust: 6.0ms (13% of total)

ival-add: 5.0ms (10.9% of total)

ival-sub: 3.0ms (6.5% of total)

ival-exp: 2.0ms (4.3% of total)

ival-expm1: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory

15.1MiB live, 95.9MiB allocated

Counts

21 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)
6.0ms	a	@	-inf	(* (* x x) (+ (* 1/2 (* a a)) (/ a x)))
5.0ms	x	@	-inf	(/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x)))))))
2.0ms	a	@	inf	(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)
2.0ms	x	@	-inf	(- (/ 1 (/ (+ (* a (* x (* a x))) (- 1 (* a x))) (+ 1 (* (* a x) (* a (* x (* a x))))))) 1)

rewrite667.0ms (6%)

Memory

-30.5MiB live, 776.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 476×	`accelerator-lowering-fma.f32`
8 476×	`accelerator-lowering-fma.f64`
5 002×	`-lowering-.f32`
5 002×	`-lowering-.f64`
4 906×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	247
1	224	166
2	1948	124
0	9280	112

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 254

Calls

Call 1

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

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

simplify348.0ms (3.1%)

Memory

27.2MiB live, 613.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 478×	`accelerator-lowering-fma.f32`
7 478×	`accelerator-lowering-fma.f64`
5 114×	`-lowering-.f32`
5 114×	`-lowering-.f64`
2 028×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	441	3610
1	1465	3438
2	4598	3350
0	8441	3134

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))))))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 a (+.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (.f64 x #s(literal -1/2 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/2 binary64))))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 a #s(literal -1/2 binary64)))))))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1/4 binary64)) (.f64 (.f64 a (.f64 a #s(literal -1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 a a)))) (.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 a #s(literal -1/2 binary64)))))) (.f64 a #s(literal -1/2 binary64))))) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (*.f64 a #s(literal -1/2 binary64))))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal -1/4 binary64))))
(+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal -1/4 binary64))))
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(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))
(* (pow a 2) (pow x 2))
(.f64 a (.f64 a (*.f64 x x)))

eval443.0ms (4%)

Memory: 11.5MiB live, 675.7MiB allocated
Compiler: Compiled 97 841 to 8 858 computations (90.9% saved)

prune354.0ms (3.2%)

Memory

5.0MiB live, 594.6MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	2 990	13	3 003
Fresh	9	8	17
Picked	4	1	5
Done	0	4	4
Total	3 003	26	3 029

Accuracy

100.0%

Counts

3 029 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.0%	(/.f64 (*.f64 x x) (/.f64 x a))
	44.4%	(/.f64 (.f64 a (.f64 x x)) x)
▶	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
▶	67.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
	67.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64)))))
	67.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	18.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a (.f64 a (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))))) #s(literal 1 binary64))
	17.7%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
	48.8%	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
	49.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (*.f64 a x) #s(literal -1 binary64))))) #s(literal 1 binary64))
▶	49.5%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 a a) (.f64 x (.f64 a (.f64 a a))))) a)))) #s(literal 1 binary64))
✓	19.1%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	17.9%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
	67.1%	(+.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) a))
	19.2%	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
✓	99.9%	(.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)))))
	85.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
	51.5%	(.f64 (.f64 (/.f64 a x) x) x)
	68.0%	(.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)))))))
▶	66.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	67.1%	(.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) x))
	66.8%	(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
✓	67.7%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	17.3%	#s(literal 0 binary64)

Compiler

Compiled 772 to 439 computations (43.1% saved)

simplify269.0ms (2.4%)

Memory

8.4MiB live, 297.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 a a) (.f64 x (.f64 a (.f64 a a))))) a))))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 a a) (.f64 x (.f64 a (.f64 a a))))) a)))) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 (.f64 a a) (.f64 x (.f64 a (.f64 a a))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 a a) (.f64 x (.f64 a (.f64 a a))))) a)))
✓	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	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) a)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) #s(literal 2 binary64))
✓	cost-diff	0	(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
✓	cost-diff	6912	(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))

Rules

6 882×	`accelerator-lowering-fma.f32`
6 882×	`accelerator-lowering-fma.f64`
2 590×	`-lowering-.f32`
2 590×	`-lowering-.f64`
1 674×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	209
1	79	209
2	193	209
3	596	209
4	1416	194
5	3180	194
6	5607	194
7	7492	194
0	8053	182

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize204.0ms (1.8%)

Memory

11.3MiB live, 168.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.7%	(-.f64 (.f64 a a) (.f64 x (.f64 a (.f64 a a))))
✓	accuracy	91.2%	(.f64 x (.f64 a (*.f64 a a)))
✓	accuracy	86.6%	(.f64 x (-.f64 (.f64 a a) (.f64 x (.f64 a (*.f64 a a)))))
✓	accuracy	50.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 a a) (.f64 x (.f64 a (.f64 a a))))) a)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 a x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.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) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) a)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
✓	accuracy	100.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
✓	accuracy	99.9%	(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))

Samples

106.0ms	72×	2	valid
38.0ms	97×	1	valid
16.0ms	87×	0	valid

Compiler

Compiled 229 to 31 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-expm1: 70.0ms (52.5% of total)

ival-mult: 24.0ms (18% of total)

ival-div: 15.0ms (11.2% of total)

ival-sub: 8.0ms (6% of total)

adjust: 7.0ms (5.2% of total)

ival-add: 5.0ms (3.7% of total)

ival-exp: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series18.0ms (0.2%)

Memory

-15.8MiB live, 22.7MiB allocated

Counts

18 → 420

Calls

Call 1

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

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 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 (* 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 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 (* a x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 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 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 1>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (+ 1 (* x (+ (* -1 a) (* (pow a 2) x))))>
#<alt (+ 1 (* x (+ (* -1 a) (* x (+ (* -1 (* (pow a 3) x)) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (- (/ (pow a 2) x) (pow a 3)))>
#<alt (* (pow x 3) (- (+ (* -1 (/ a (pow x 2))) (/ (pow a 2) x)) (pow a 3)))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 3)) (/ (pow a 2) x)) (+ (/ a (pow x 2)) (pow a 3))))>
#<alt (* -1 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow a 2) x)) (pow a 3))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ a x)) (pow a 2)) x)) (pow a 3))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)) x)) (pow a 3))))>
#<alt 1>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (+ 1 (* a (+ (* -1 x) (* a (pow x 2)))))>
#<alt (+ 1 (* a (+ (* -1 x) (* a (+ (* -1 (* a (pow x 3))) (pow x 2))))))>
#<alt (* -1 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* -1 (pow x 3)) (/ (pow x 2) a)))>
#<alt (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (+ (* -1 (pow x 3)) (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* -1 (/ x (pow a 2))) (+ (* -1 (pow x 3)) (+ (/ 1 (pow a 3)) (/ (pow x 2) a)))))>
#<alt (* -1 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (pow x 2) a)) (pow x 3))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ x a)) (pow x 2)) a)) (pow x 3))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2)) a)) (pow x 3))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (* a x))))>
#<alt (* (pow a 2) (+ 1 (* -1 (* a x))))>
#<alt (* (pow a 2) (+ 1 (* -1 (* a x))))>
#<alt (* -1 (* (pow a 3) x))>
#<alt (* (pow a 3) (- (/ 1 a) x))>
#<alt (* (pow a 3) (- (/ 1 a) x))>
#<alt (* (pow a 3) (- (/ 1 a) x))>
#<alt (* -1 (* (pow a 3) x))>
#<alt (* (pow a 3) (+ (* -1 x) (/ 1 a)))>
#<alt (* (pow a 3) (+ (* -1 x) (/ 1 a)))>
#<alt (* (pow a 3) (+ (* -1 x) (/ 1 a)))>
#<alt (pow a 2)>
#<alt (+ (* -1 (* (pow a 3) x)) (pow a 2))>
#<alt (+ (* -1 (* (pow a 3) x)) (pow a 2))>
#<alt (+ (* -1 (* (pow a 3) x)) (pow a 2))>
#<alt (* -1 (* (pow a 3) x))>
#<alt (* x (- (/ (pow a 2) x) (pow a 3)))>
#<alt (* x (- (/ (pow a 2) x) (pow a 3)))>
#<alt (* x (- (/ (pow a 2) x) (pow a 3)))>
#<alt (* -1 (* (pow a 3) x))>
#<alt (* -1 (* x (- (* -1 (/ (pow a 2) x)) (* -1 (pow a 3)))))>
#<alt (* -1 (* x (- (* -1 (/ (pow a 2) x)) (* -1 (pow a 3)))))>
#<alt (* -1 (* x (- (* -1 (/ (pow a 2) x)) (* -1 (pow a 3)))))>
#<alt (* a x)>
#<alt (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))>
#<alt (* x (- (* x (- (* -1 (* x (+ (* -1 (pow a 3)) (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))>
#<alt (* x (- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 4)) (* a (+ (* -1 (pow a 3)) (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))))))) (+ (* -1 (pow a 3)) (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))>
#<alt (- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ (/ 1 (* (pow a 7) (pow x 3))) (/ 1 (pow a 4))) (pow x 4))) (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))>
#<alt (- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (+ (/ 1 (* (pow a 7) (pow x 4))) (/ 1 (pow a 3)))) (pow x 3))) 1)>
#<alt (* a x)>
#<alt (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))>
#<alt (* a (- (* a (- (* -1 (* a (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))>
#<alt (* a (- (* a (- (* a (- (* -1 (* a (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 4)) (* x (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))))))) (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))>
#<alt (- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3))) 1)>
#<alt (- (* -1 (/ (+ (/ 1 (* (pow a 3) (pow x 7))) (/ 1 (pow x 4))) (pow a 4))) (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))>
#<alt (- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3))) 1)>
#<alt (- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (+ (/ 1 (* (pow a 4) (pow x 7))) (/ 1 (pow x 3)))) (pow a 3))) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (pow a 3)) (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))>
#<alt (/ -1 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow a 7) (pow x 3))) (/ 1 (pow a 4))) x)) (/ 1 (pow a 3))) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow a 8) x)) (/ 1 (pow a 7))) (pow x 4))) (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3)))) (pow x 3))>
#<alt (/ -1 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3)))>
#<alt (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (+ (/ 1 (* (pow a 7) (pow x 4))) (/ 1 (pow a 3)))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 8) x)) (/ 1 (pow a 7))) (pow x 3))) (/ 1 (pow a 4))) x)) (/ 1 (pow a 3))) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))>
#<alt (+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))>
#<alt (/ -1 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) (pow x 7))) (/ 1 (pow x 4))) a)) (/ 1 (pow x 3))) (pow a 3))>
#<alt (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 8))) (/ 1 (pow x 7))) (pow a 4))) (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3)))) (pow a 3))>
#<alt (/ -1 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3)))>
#<alt (* -1 (/ (+ (/ 1 (* a (pow x 4))) (+ (/ 1 (* (pow a 4) (pow x 7))) (/ 1 (pow x 3)))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 8))) (/ 1 (pow x 7))) (pow a 3))) (/ 1 (pow x 4))) a)) (/ 1 (pow x 3))) (pow a 3)))>
#<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 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (* (pow a 2) x)>
#<alt (* x (+ (* -1 (* (pow a 3) x)) (pow a 2)))>
#<alt (* x (+ (* -1 (* (pow a 3) x)) (pow a 2)))>
#<alt (* x (+ (* -1 (* (pow a 3) x)) (pow a 2)))>
#<alt (* -1 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))>
#<alt (* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))>
#<alt (* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))>
#<alt (* -1 (* (pow a 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))>
#<alt (* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))>
#<alt (* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) (+ x (* -1 (* a (pow x 2)))))>
#<alt (* (pow a 2) (+ x (* -1 (* a (pow x 2)))))>
#<alt (* (pow a 2) (+ x (* -1 (* a (pow x 2)))))>
#<alt (* -1 (* (pow a 3) (pow x 2)))>
#<alt (* (pow a 3) (+ (* -1 (pow x 2)) (/ x a)))>
#<alt (* (pow a 3) (+ (* -1 (pow x 2)) (/ x a)))>
#<alt (* (pow a 3) (+ (* -1 (pow x 2)) (/ x a)))>
#<alt (* -1 (* (pow a 3) (pow x 2)))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x a)) (pow x 2))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x a)) (pow x 2))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ x a)) (pow x 2))))>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>
#<alt (* (pow a 3) x)>

Calls

105 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ 1 x)
0.0ms	x	@	0	(- (/ 1 (+ 1 (* x (- (* x (- (* a a) (* x (* a (* a a))))) a)))) 1)
0.0ms	a	@	0	(- (/ 1 (+ 1 (* x (- (* x (- (* a a) (* x (* a (* a a))))) a)))) 1)
0.0ms	x	@	inf	(- (/ 1 (+ 1 (* x (- (* x (- (* a a) (* x (* a (* a a))))) a)))) 1)
0.0ms	a	@	inf	(- (/ 1 (+ 1 (* x (- (* x (- (* a a) (* x (* a (* a a))))) a)))) 1)

rewrite443.0ms (4%)

Memory

-15.7MiB live, 502.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 838×	`accelerator-lowering-fma.f32`
4 838×	`accelerator-lowering-fma.f64`
4 164×	`/-lowering-/.f32`
4 164×	`/-lowering-/.f64`
3 724×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
1	183	148
2	1470	148
0	8505	137

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 786

Calls

Call 1

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

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

simplify347.0ms (3.1%)

Memory

26.1MiB live, 461.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 580×	`accelerator-lowering-fma.f32`
6 580×	`accelerator-lowering-fma.f64`
5 138×	`-lowering-.f32`
5 138×	`-lowering-.f64`
1 960×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	454	3897
1	1481	3643
2	4849	3558
0	8176	3388

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a 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)
(* 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 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 (* a x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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 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))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* x (+ (* -1 a) (* (pow a 2) x))))
(+ 1 (* x (+ (* -1 a) (* x (+ (* -1 (* (pow a 3) x)) (pow a 2))))))
(* -1 (* (pow a 3) (pow x 3)))
(* (pow x 3) (- (/ (pow a 2) x) (pow a 3)))
(* (pow x 3) (- (+ (* -1 (/ a (pow x 2))) (/ (pow a 2) x)) (pow a 3)))
(* (pow x 3) (- (+ (/ 1 (pow x 3)) (/ (pow a 2) x)) (+ (/ a (pow x 2)) (pow a 3))))
(* -1 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow a 2) x)) (pow a 3))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ a x)) (pow a 2)) x)) (pow a 3))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- a (/ 1 x)) x)) (pow a 2)) x)) (pow a 3))))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* a (+ (* -1 x) (* a (pow x 2)))))
(+ 1 (* a (+ (* -1 x) (* a (+ (* -1 (* a (pow x 3))) (pow x 2))))))
(* -1 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* -1 (pow x 3)) (/ (pow x 2) a)))
(* (pow a 3) (+ (* -1 (/ x (pow a 2))) (+ (* -1 (pow x 3)) (/ (pow x 2) a))))
(* (pow a 3) (+ (* -1 (/ x (pow a 2))) (+ (* -1 (pow x 3)) (+ (/ 1 (pow a 3)) (/ (pow x 2) a)))))
(* -1 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1 (/ (pow x 2) a)) (pow x 3))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ x a)) (pow x 2)) a)) (pow x 3))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- x (/ 1 a)) a)) (pow x 2)) a)) (pow x 3))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (* a x))))
(* (pow a 2) (+ 1 (* -1 (* a x))))
(* (pow a 2) (+ 1 (* -1 (* a x))))
(* -1 (* (pow a 3) x))
(* (pow a 3) (- (/ 1 a) x))
(* (pow a 3) (- (/ 1 a) x))
(* (pow a 3) (- (/ 1 a) x))
(* -1 (* (pow a 3) x))
(* (pow a 3) (+ (* -1 x) (/ 1 a)))
(* (pow a 3) (+ (* -1 x) (/ 1 a)))
(* (pow a 3) (+ (* -1 x) (/ 1 a)))
(pow a 2)
(+ (* -1 (* (pow a 3) x)) (pow a 2))
(+ (* -1 (* (pow a 3) x)) (pow a 2))
(+ (* -1 (* (pow a 3) x)) (pow a 2))
(* -1 (* (pow a 3) x))
(* x (- (/ (pow a 2) x) (pow a 3)))
(* x (- (/ (pow a 2) x) (pow a 3)))
(* x (- (/ (pow a 2) x) (pow a 3)))
(* -1 (* (pow a 3) x))
(* -1 (* x (- (* -1 (/ (pow a 2) x)) (* -1 (pow a 3)))))
(* -1 (* x (- (* -1 (/ (pow a 2) x)) (* -1 (pow a 3)))))
(* -1 (* x (- (* -1 (/ (pow a 2) x)) (* -1 (pow a 3)))))
(* a x)
(* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))
(* x (- (* x (- (* -1 (* x (+ (* -1 (pow a 3)) (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))
(* x (- (* x (- (* x (- (* -1 (* x (+ (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 4)) (* a (+ (* -1 (pow a 3)) (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))))))) (+ (* -1 (pow a 3)) (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a)))
-1
(* -1 (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))
(- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3))) 1)
(- (* -1 (/ (+ (/ 1 (* (pow a 7) (pow x 3))) (/ 1 (pow a 4))) (pow x 4))) (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))
-1
(* -1 (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))
(- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3))) 1)
(- (* -1 (/ (+ (/ 1 (* (pow a 4) x)) (+ (/ 1 (* (pow a 7) (pow x 4))) (/ 1 (pow a 3)))) (pow x 3))) 1)
(* a x)
(* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))
(* a (- (* a (- (* -1 (* a (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))
(* a (- (* a (- (* a (- (* -1 (* a (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 4)) (* x (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))))))) (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x)))
-1
(* -1 (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))
(- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3))) 1)
(- (* -1 (/ (+ (/ 1 (* (pow a 3) (pow x 7))) (/ 1 (pow x 4))) (pow a 4))) (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))
-1
(* -1 (+ 1 (/ 1 (* (pow a 3) (pow x 3)))))
(- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3))) 1)
(- (* -1 (/ (+ (/ 1 (* a (pow x 4))) (+ (/ 1 (* (pow a 4) (pow x 7))) (/ 1 (pow x 3)))) (pow a 3))) 1)
1
(+ 1 (* a x))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (pow a 3)) (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(/ -1 (* (pow a 3) (pow x 3)))
(* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3)))
(/ (- (* -1 (/ (+ (/ 1 (* (pow a 7) (pow x 3))) (/ 1 (pow a 4))) x)) (/ 1 (pow a 3))) (pow x 3))
(/ (- (* -1 (/ (+ (/ 1 (* (pow a 8) x)) (/ 1 (pow a 7))) (pow x 4))) (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3)))) (pow x 3))
(/ -1 (* (pow a 3) (pow x 3)))
(* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3)))
(* -1 (/ (+ (/ 1 (* (pow a 4) x)) (+ (/ 1 (* (pow a 7) (pow x 4))) (/ 1 (pow a 3)))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 8) x)) (/ 1 (pow a 7))) (pow x 3))) (/ 1 (pow a 4))) x)) (/ 1 (pow a 3))) (pow x 3)))
1
(+ 1 (* a x))
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(/ -1 (* (pow a 3) (pow x 3)))
(* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3)))
(/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) (pow x 7))) (/ 1 (pow x 4))) a)) (/ 1 (pow x 3))) (pow a 3))
(/ (- (* -1 (/ (+ (/ 1 (* a (pow x 8))) (/ 1 (pow x 7))) (pow a 4))) (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3)))) (pow a 3))
(/ -1 (* (pow a 3) (pow x 3)))
(* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3)))
(* -1 (/ (+ (/ 1 (* a (pow x 4))) (+ (/ 1 (* (pow a 4) (pow x 7))) (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 8))) (/ 1 (pow x 7))) (pow a 3))) (/ 1 (pow x 4))) a)) (/ 1 (pow x 3))) (pow a 3)))
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))
2
(+ 2 (* a x))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 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 (exp (* a x)))
2
(+ 2 (* a x))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ 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 (exp (* a x)))
(* (pow a 2) x)
(* x (+ (* -1 (* (pow a 3) x)) (pow a 2)))
(* x (+ (* -1 (* (pow a 3) x)) (pow a 2)))
(* x (+ (* -1 (* (pow a 3) x)) (pow a 2)))
(* -1 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(* -1 (* (pow a 3) (pow x 2)))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(* (pow a 2) x)
(* (pow a 2) (+ x (* -1 (* a (pow x 2)))))
(* (pow a 2) (+ x (* -1 (* a (pow x 2)))))
(* (pow a 2) (+ x (* -1 (* a (pow x 2)))))
(* -1 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* -1 (pow x 2)) (/ x a)))
(* (pow a 3) (+ (* -1 (pow x 2)) (/ x a)))
(* (pow a 3) (+ (* -1 (pow x 2)) (/ x a)))
(* -1 (* (pow a 3) (pow x 2)))
(* -1 (* (pow a 3) (+ (* -1 (/ x a)) (pow x 2))))
(* -1 (* (pow a 3) (+ (* -1 (/ x a)) (pow x 2))))
(* -1 (* (pow a 3) (+ (* -1 (/ x a)) (pow x 2))))
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)
(* (pow a 3) x)

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 a (+.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (.f64 x #s(literal -1/2 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64)))))))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 x (-.f64 (+.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a a)))) (.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64)))))) (.f64 a #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a (*.f64 a #s(literal 1/2 binary64))))))))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 a (.f64 #s(literal 2 binary64) (+.f64 x (.f64 a (.f64 x x)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(.f64 a (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4/3 binary64) (.f64 a (.f64 x (*.f64 x x))))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(.f64 a (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 a (+.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2/3 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 4/3 binary64))))))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(.f64 a (.f64 #s(literal 2 binary64) (+.f64 x (.f64 a (.f64 x x)))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(.f64 x (+.f64 (.f64 a #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 x (.f64 a (.f64 a a)))) (.f64 #s(literal 2 binary64) (*.f64 a a))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(.f64 x (+.f64 (.f64 a #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 x (+.f64 (.f64 x (.f64 #s(literal 2/3 binary64) (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 a (.f64 a a)) #s(literal 4/3 binary64))))))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 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 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (pow a 3)) (+ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(/ -1 (* (pow a 3) (pow x 3)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 a (.f64 a a)))
(* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 a (.f64 a (.f64 a a)))))) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ (/ 1 (* (pow a 7) (pow x 3))) (/ 1 (pow a 4))) x)) (/ 1 (pow a 3))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a a))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (pow.f64 a #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a))))) x)) (.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ (/ 1 (* (pow a 8) x)) (/ 1 (pow a 7))) (pow x 4))) (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3)))) (pow x 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 a #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 x (.f64 x x)))) x) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) (.f64 x (.f64 x x)))
(/ -1 (* (pow a 3) (pow x 3)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 a (.f64 a a)))
(* -1 (/ (+ (/ 1 (* (pow a 4) x)) (/ 1 (pow a 3))) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 a (.f64 a (.f64 a a)))))) (.f64 x (.f64 x x)))
(* -1 (/ (+ (/ 1 (* (pow a 4) x)) (+ (/ 1 (* (pow a 7) (pow x 4))) (/ 1 (pow a 3)))) (pow x 3)))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 a #s(literal 7 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 8) x)) (/ 1 (pow a 7))) (pow x 3))) (/ 1 (pow a 4))) x)) (/ 1 (pow a 3))) (pow x 3)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 a #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 x (.f64 x x)))) x)) (.f64 x (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(/ -1 (* (pow a 3) (pow x 3)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 a (.f64 a a)))
(* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) a)) (.f64 a (*.f64 a a)))
(/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) (pow x 7))) (/ 1 (pow x 4))) a)) (/ 1 (pow x 3))) (pow a 3))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) a)) (.f64 a (*.f64 a a)))
(/ (- (* -1 (/ (+ (/ 1 (* a (pow x 8))) (/ 1 (pow x 7))) (pow a 4))) (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3)))) (pow a 3))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 a (.f64 a a)))) a) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (.f64 a (*.f64 a a)))
(/ -1 (* (pow a 3) (pow x 3)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 a (.f64 a a)))
(* -1 (/ (+ (/ 1 (* a (pow x 4))) (/ 1 (pow x 3))) (pow a 3)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) a)) (.f64 a (*.f64 a a)))
(* -1 (/ (+ (/ 1 (* a (pow x 4))) (+ (/ 1 (* (pow a 4) (pow x 7))) (/ 1 (pow x 3)))) (pow a 3)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) a) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a)))) (pow.f64 x #s(literal 7 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 8))) (/ 1 (pow x 7))) (pow a 3))) (/ 1 (pow x 4))) a)) (/ 1 (pow x 3))) (pow a 3)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 a (.f64 a a)))) a)) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a))))
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 a (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 x (.f64 x x))) #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 a (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a (.f64 a 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))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 x (.f64 a (+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 x (.f64 x x))) #s(literal 1/6 binary64)))))))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(+.f64 (*.f64 a x) #s(literal 2 binary64))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x))))))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 a (.f64 x (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 a (.f64 a a))) #s(literal 1/6 binary64)))))))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* x (+ (* -1 (* (pow a 3) x)) (pow a 2)))
(.f64 x (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (.f64 a x))))
(* x (+ (* -1 (* (pow a 3) x)) (pow a 2)))
(.f64 x (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (.f64 a x))))
(* x (+ (* -1 (* (pow a 3) x)) (pow a 2)))
(.f64 x (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (.f64 a x))))
(* -1 (* (pow a 3) (pow x 2)))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 a (.f64 a a)))))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 a a) x) (.f64 a (*.f64 a a))))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 a a) x) (.f64 a (*.f64 a a))))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 a a) x) (.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (pow x 2)))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 a (.f64 a a)))))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 a a) x) (.f64 a (*.f64 a a))))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 a a) x) (.f64 a (*.f64 a a))))
(* (pow x 2) (+ (* -1 (pow a 3)) (/ (pow a 2) x)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 a a) x) (.f64 a (*.f64 a a))))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) (+ x (* -1 (* a (pow x 2)))))
(.f64 x (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (.f64 a x))))
(* (pow a 2) (+ x (* -1 (* a (pow x 2)))))
(.f64 x (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (.f64 a x))))
(* (pow a 2) (+ x (* -1 (* a (pow x 2)))))
(.f64 x (.f64 (.f64 a a) (-.f64 #s(literal 1 binary64) (.f64 a x))))
(* -1 (* (pow a 3) (pow x 2)))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 a (.f64 a a)))))
(* (pow a 3) (+ (* -1 (pow x 2)) (/ x a)))
(.f64 (.f64 a (.f64 a a)) (-.f64 (/.f64 x a) (.f64 x x)))
(* (pow a 3) (+ (* -1 (pow x 2)) (/ x a)))
(.f64 (.f64 a (.f64 a a)) (-.f64 (/.f64 x a) (.f64 x x)))
(* (pow a 3) (+ (* -1 (pow x 2)) (/ x a)))
(.f64 (.f64 a (.f64 a a)) (-.f64 (/.f64 x a) (.f64 x x)))
(* -1 (* (pow a 3) (pow x 2)))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 a (.f64 a a)))))
(* -1 (* (pow a 3) (+ (* -1 (/ x a)) (pow x 2))))
(.f64 (.f64 a (.f64 a a)) (-.f64 (/.f64 x a) (.f64 x x)))
(* -1 (* (pow a 3) (+ (* -1 (/ x a)) (pow x 2))))
(.f64 (.f64 a (.f64 a a)) (-.f64 (/.f64 x a) (.f64 x x)))
(* -1 (* (pow a 3) (+ (* -1 (/ x a)) (pow x 2))))
(.f64 (.f64 a (.f64 a a)) (-.f64 (/.f64 x a) (.f64 x x)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))
(* (pow a 3) x)
(.f64 x (.f64 a (*.f64 a a)))

eval251.0ms (2.3%)

Memory: 36.5MiB live, 333.8MiB allocated
Compiler: Compiled 38 082 to 3 405 computations (91.1% saved)

prune161.0ms (1.4%)

Memory

-27.6MiB live, 352.0MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	1 371	6	1 377
Fresh	6	10	16
Picked	2	3	5
Done	0	5	5
Total	1 379	24	1 403

Accuracy

100.0%

Counts

1 403 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
	67.5%	(/.f64 a (/.f64 #s(literal 1 binary64) x))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64)))))
	67.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	18.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a (.f64 a (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))))) #s(literal 1 binary64))
	17.7%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
	48.8%	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
✓	19.1%	(-.f64 (+.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	17.9%	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
	66.8%	(+.f64 (.f64 a (.f64 x (.f64 a (/.f64 x #s(literal 2 binary64))))) (.f64 a x))
	67.1%	(+.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) a))
	19.2%	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
✓	99.9%	(.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)))))
	85.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))
	66.4%	(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	66.8%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (/.f64 x #s(literal 2 binary64)))) a) x)
	68.0%	(.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)))))))
✓	66.9%	(.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
	17.0%	(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
	67.1%	(.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) x))
✓	67.7%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	17.3%	#s(literal 0 binary64)
	34.9%	#s(literal -1 binary64)

Compiler

Compiled 1 158 to 415 computations (64.2% saved)

regimes67.0ms (0.6%)

Memory

11.6MiB live, 127.1MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
(*.f64 a x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 a (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 a x) x) x)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) a))
(/.f64 (.f64 a (.f64 x x)) x)
(/.f64 (*.f64 x x) (/.f64 x a))
(.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 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 (.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 2 binary64)))) a) x)
(-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x x)))) #s(literal 1 binary64))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 a x)))
(+.f64 (.f64 a (.f64 x (.f64 a (/.f64 x #s(literal 2 binary64))))) (.f64 a x))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 (*.f64 a x) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x)) (+.f64 (.f64 a x) #s(literal 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 (.f64 a x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a #s(literal 1/6 binary64)))))))
(.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 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a x) #s(literal -1 binary64)) (+.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal -1 binary64)))) #s(literal 1 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 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 a a) (.f64 x (.f64 a (.f64 a a))))) a)))) #s(literal 1 binary64))
(+.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) a))
(/.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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a x))))))) #s(literal 1 binary64))
(/.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 (.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 #s(literal 1 binary64) (/.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 (.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 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 x x))))) (.f64 a (.f64 a (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 a x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))))) #s(literal 1 binary64))
(.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 binary64))))) (-.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 a x) a) (.f64 x #s(literal 1/24 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 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(.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 #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 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (expm1.f64 (.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (expm1.f64 (.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))))

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

Calls

5 calls:

14.0ms	(*.f64 a x)
14.0ms	a
13.0ms	x
11.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
10.0ms	(exp.f64 (*.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)

regimes39.0ms (0.4%)

Memory

0.0MiB live, 80.0MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

#s(literal -1 binary64)

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

Calls

3 calls:

12.0ms	(*.f64 a x)
12.0ms	a
11.0ms	x

Results

Accuracy	Segments	Branch
75.2%	2	`a`
83.1%	2	`x`
99.3%	2	`(*.f64 a x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory

-16.1MiB live, 22.7MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

#s(literal -1 binary64)

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

Calls

1 calls:

10.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
99.3%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes11.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

#s(literal -1 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))))))))))

Calls

1 calls:

8.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
99.3%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes101.0ms (0.9%)

Memory

-24.7MiB live, 14.5MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs
#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)))))))

Calls

1 calls:

99.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
99.2%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
99.0%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes7.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
99.0%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes26.0ms (0.2%)

Memory

-31.4MiB live, 9.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
99.0%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

(*.f64 a x)

Results

Accuracy	Segments	Branch
98.4%	2	`(*.f64 a x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)
#s(literal -1 binary64)

Calls

2 calls:

2.0ms	x
2.0ms	a

Results

Accuracy	Segments	Branch
44.7%	2	`a`
45.9%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	a

Results

Accuracy	Segments	Branch
34.9%	1	`a`
34.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-193.80837592958358	-1.9023217787656087e-8

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-193.80837592958358	-1.9023217787656087e-8

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-193.80837592958358	-1.9023217787656087e-8

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-193.80837592958358	-1.9023217787656087e-8

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-193.80837592958358	-1.9023217787656087e-8

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-193.80837592958358	-1.9023217787656087e-8

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	-193.80837592958358	-1.9023217787656087e-8

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch4.0ms (0%)

Memory

-34.7MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-193.80837592958358	-1.9023217787656087e-8

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch10.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.9862938473818558e-153	2.031880560232844e-146

Samples

5.0ms

144×

valid

Compiler

Compiled 83 to 81 computations (2.4% saved)

Precisions

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

ival-mult: 1.0ms (50.2% of total)

ival-expm1: 1.0ms (50.2% of total)

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

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

simplify13.0ms (0.1%)

Memory

-9.9MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
24×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	193
1	104	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (+.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) a)))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) x)))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 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)))))))))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #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))))))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a (/.f64 x #s(literal 2 binary64))))) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (.f64 a x))
(if (<=.f64 x #s(literal 8322990519904913/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(literal 0 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (+.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))) a)))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (+.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x #s(literal 1/24 binary64)))))))))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))) x)))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (.f64 a (+.f64 x (.f64 (.f64 a x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 x #s(literal 1/24 binary64)))))))))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 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)))))))))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #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))))))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (+.f64 (.f64 a (.f64 x (.f64 a (/.f64 x #s(literal 2 binary64))))) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (+.f64 (.f64 a x) (.f64 a (.f64 x (*.f64 a (/.f64 x #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (.f64 (.f64 a x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (.f64 a (.f64 x (+.f64 #s(literal 1 binary64) (.f64 a (*.f64 x #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 a x) #s(literal -100 binary64)) #s(literal -1 binary64) (.f64 a x))
(if (<=.f64 x #s(literal 8322990519904913/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) #s(literal 0 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

soundness2.2s (19.6%)

Memory

8.0MiB live, 1 187.1MiB allocated

Rules

23 296×	`accelerator-lowering-fma.f32`
23 296×	`accelerator-lowering-fma.f64`
8 560×	`accelerator-lowering-fma.f32`
8 560×	`accelerator-lowering-fma.f64`
8 476×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	247
1	224	166
2	1948	124
0	9280	112
0	6	13
1	27	13
2	149	13
0	1340	11
0	441	3610
1	1465	3438
2	4598	3350
0	8441	3134
0	364	3831
1	1211	3776
2	3991	3606
0	8082	3318
0	29	157
1	183	148
2	1470	148
0	8505	137
0	454	3897
1	1481	3643
2	4849	3558
0	8176	3388
0	25	167
1	186	165
2	1787	165
0	8647	143
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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 440 to 251 computations (43% saved)

preprocess127.0ms (1.1%)

Memory: -21.0MiB live, 220.5MiB allocated
Remove: (sort a x)
Compiler: Compiled 430 to 154 computations (64.2% 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

analyze53.0ms (0.5%)

sample545.0ms (4.9%)

preprocess15.0ms (0.1%)

explain72.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize21.0ms (0.2%)

series4.0ms (0%)

rewrite109.0ms (1%)

simplify355.0ms (3.2%)

eval20.0ms (0.2%)

prune21.0ms (0.2%)

simplify518.0ms (4.7%)

localize160.0ms (1.4%)

series26.0ms (0.2%)

rewrite523.0ms (4.7%)

simplify666.0ms (6%)

eval409.0ms (3.7%)

prune331.0ms (3%)

simplify537.0ms (4.8%)

localize550.0ms (5%)

series53.0ms (0.5%)

rewrite667.0ms (6%)

simplify348.0ms (3.1%)

eval443.0ms (4%)

prune354.0ms (3.2%)

simplify269.0ms (2.4%)

localize204.0ms (1.8%)

series18.0ms (0.2%)

rewrite443.0ms (4%)

simplify347.0ms (3.1%)

eval251.0ms (2.3%)

prune161.0ms (1.4%)

regimes67.0ms (0.6%)

regimes39.0ms (0.4%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes101.0ms (0.9%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes26.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0%)

bsearch10.0ms (0.1%)

simplify13.0ms (0.1%)

soundness2.2s (19.6%)

preprocess127.0ms (1.1%)

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