Metrics for Kahan's exp quotient

analyze1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample457.0ms (4%)

Memory

25.2MiB live, 801.3MiB allocated

Samples

300.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-div: 73.0ms (47.6% of total)

ival-expm1: 72.0ms (46.9% of total)

ival-true: 5.0ms (3.3% of total)

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

Bogosity

preprocess60.0ms (0.5%)

Memory

-4.8MiB live, 111.5MiB allocated

Algorithm

2×	egg-herbie

Rules

240×	`accelerator-lowering-fma.f32`
240×	`accelerator-lowering-fma.f64`
222×	`times-frac`
216×	`div-sub`
176×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	33	21
2	78	20
3	230	20
4	604	20
5	835	20
6	1051	20
7	1128	20
8	1148	20
0	5	6
1	13	6
2	16	6
3	22	6
4	31	6
5	43	6
6	63	6
7	107	6
8	170	6
9	320	6
10	476	6
11	568	6
12	635	6
13	845	6
14	852	6
15	853	6
0	853	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- (exp x) 1) x)

Outputs
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)

Call 2

Inputs
(/ (- (exp x) 1) x)
(/ (- (exp (neg x)) 1) (neg x))
(neg (/ (- (exp (neg x)) 1) (neg x)))

Outputs
(/ (- (exp x) 1) x)
(/ (+ (exp x) -1) x)
(/ (- (exp (neg x)) 1) (neg x))
(/ (- 1 (exp (neg x))) x)
(neg (/ (- (exp (neg x)) 1) (neg x)))
(/ (+ (exp (neg x)) -1) x)

explain280.0ms (2.5%)

Memory

-9.6MiB live, 150.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	129	0

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 46 to 24 computations (47.8% saved)

Precisions

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

ival-div: 4.0ms (32.3% of total)

ival-exp: 4.0ms (32.3% of total)

ival-expm1: 4.0ms (32.3% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify48.0ms (0.4%)

Memory

9.6MiB live, 50.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
✓	cost-diff	192	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Rules

240×	`accelerator-lowering-fma.f32`
240×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
128×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	13	14
2	16	14
3	22	14
4	31	14
5	43	14
6	63	14
7	107	14
8	170	14
9	320	14
10	476	14
11	568	14
12	635	14
13	845	14
14	852	14
15	853	14
0	853	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (exp x) 1) x)
(- (exp x) 1)
(exp x)
x
1

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

localize18.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
✓	accuracy	53.2%	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34% of total)

ival-exp: 2.0ms (34% of total)

ival-expm1: 2.0ms (34% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

-34.6MiB live, 4.9MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (- (exp x) 1)>
#<alt (/ (- (exp x) 1) x)>
#<alt (exp x)>

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (- (exp x) 1) x)
0.0ms	x	@	inf	(/ (- (exp x) 1) x)
0.0ms	x	@	0	(- (exp x) 1)
0.0ms	x	@	inf	(- (exp x) 1)
0.0ms	x	@	-inf	(- (exp x) 1)

rewrite547.0ms (4.8%)

Memory

-3.4MiB live, 563.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 428×	`/-lowering-/.f32`
5 428×	`/-lowering-/.f64`
3 690×	`-lowering-.f32`
3 690×	`-lowering-.f64`
2 262×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	32	12
2	217	12
3	2300	12
0	8886	8

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 496

Calls

Call 1

Inputs
(- (exp x) 1)
(/ (- (exp x) 1) x)
(exp x)

Outputs
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))))
(-.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))

simplify521.0ms (4.6%)

Memory

6.6MiB live, 324.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 912×	`accelerator-lowering-fma.f32`
6 912×	`accelerator-lowering-fma.f64`
1 616×	`-lowering-.f32`
1 616×	`-lowering-.f64`
1 056×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	184
1	81	184
2	173	184
3	391	184
4	623	184
5	769	184
6	797	184
7	845	184
8	899	184
9	1593	184
10	4099	184
11	5148	184
12	5374	184
13	5508	184
14	5623	184
15	5629	184
16	5904	184
17	5904	184
18	6088	184
19	6161	184
20	6161	184
21	6369	184
22	6450	184
23	6450	184
0	6450	135

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

eval136.0ms (1.2%)

Memory: 27.4MiB live, 131.5MiB allocated
Compiler: Compiled 11 932 to 1 472 computations (87.7% saved)

prune164.0ms (1.5%)

Memory

-4.9MiB live, 155.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	525	7	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	526	7	533

Accuracy

100.0%

Counts

533 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.7%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
▶	66.7%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
▶	52.2%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	70.1%	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x)
▶	3.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	52.2%	#s(literal 1 binary64)

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify62.0ms (0.5%)

Memory

20.6MiB live, 60.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(/.f64 (expm1.f64 x) x)

Rules

808×	`accelerator-lowering-fma.f32`
808×	`accelerator-lowering-fma.f64`
408×	`-lowering-.f32`
408×	`-lowering-.f64`
208×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	34	42
2	48	42
3	59	42
4	68	42
5	80	42
6	100	42
7	144	42
8	204	42
9	439	42
10	838	42
11	1003	42
12	1154	42
13	1398	42
14	1429	42
15	1450	42
16	1452	42
0	1452	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize102.0ms (0.9%)

Memory

-28.1MiB live, 90.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(/.f64 (expm1.f64 x) x)

Samples

38.0ms

256×

valid

Compiler

Compiled 42 to 16 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

const: 11.0ms (38.4% of total)

ival-add: 6.0ms (21% of total)

ival-mult: 4.0ms (14% of total)

ival-div: 3.0ms (10.5% of total)

ival-expm1: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

7 → 72

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ (* x 1/6) 1/2)
0.0ms	x	@	inf	(+ (* x 1/2) 1)
0.0ms	x	@	-inf	(+ (* x (+ (* x 1/6) 1/2)) 1)
0.0ms	x	@	inf	(+ (* x (+ (* x 1/6) 1/2)) 1)
0.0ms	x	@	0	(+ (* x 1/2) 1)

rewrite539.0ms (4.8%)

Memory

-2.2MiB live, 541.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 980×	`accelerator-lowering-fma.f32`
6 980×	`accelerator-lowering-fma.f64`
4 256×	`-lowering-.f32`
4 256×	`-lowering-.f64`
3 356×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	92	31
2	667	31
3	7092	31
0	8017	23

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 489

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (exp.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) x))
(+.f64 (.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) x))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(-.f64 (/.f64 (.f64 x (exp.f64 x)) (.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (expm1.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x (exp.f64 x)) x)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
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(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1296 binary64) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/16 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64))) (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1296 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/36 binary64)) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (.f64 x #s(literal 1/12 binary64))))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 x #s(literal 1/12 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))))
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify639.0ms (5.7%)

Memory

-19.6MiB live, 537.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 162×	`accelerator-lowering-fma.f32`
12 162×	`accelerator-lowering-fma.f64`
3 956×	`-lowering-.f32`
3 956×	`-lowering-.f64`
2 820×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	346
1	122	342
2	255	342
3	559	342
4	1382	342
5	4239	342
6	5866	342
7	7576	342
0	8082	265

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
0
0
0
0
0
0
0
0
0
0
0
0

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

eval113.0ms (1%)

Memory: 1.4MiB live, 152.5MiB allocated
Compiler: Compiled 11 974 to 1 325 computations (88.9% saved)

prune167.0ms (1.5%)

Memory

22.7MiB live, 152.5MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	553	8	561
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	555	13	568

Accuracy

100.0%

Counts

568 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
▶	66.7%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	68.7%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	66.7%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	52.2%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	52.3%	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	70.1%	(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	18.1%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
▶	18.2%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
	3.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	52.2%	#s(literal 1 binary64)
▶	3.3%	#s(literal 0 binary64)

Compiler

Compiled 266 to 157 computations (41% saved)

simplify522.0ms (4.6%)

Memory

-11.5MiB live, 577.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/4 binary64)))
✓	cost-diff	64	(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	1024	(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)

Rules

11 206×	`accelerator-lowering-fma.f32`
11 206×	`accelerator-lowering-fma.f64`
3 500×	`-lowering-.f32`
3 500×	`-lowering-.f64`
2 210×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	206
1	107	204
2	257	200
3	903	196
4	2491	196
5	4795	196
6	6802	196
0	8101	168

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)) x)
(* x (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))
x
(+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)
(+ (* x (+ (* x 1/24) 1/6)) 1/2)
(+ (* x 1/24) 1/6)
1/24
1/6
1/2
1
0
(* x (* x 1/6))
x
(* x 1/6)
1/6
(+ (* (* x x) 1/6) (+ (* x 1/2) 1))
(* x x)
x
1/6
(+ (* x 1/2) 1)
1/2
1
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (neg (/ 1 (+ (* x 1/2) -1))))
(/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1))
(* x (* x 1/4))
x
(* x 1/4)
1/4
(+ (* 1/8 (* x (* x x))) -1)
1/8
(* x (* x x))
(* x x)
-1
(+ (* x (+ (* x 1/4) 1/2)) 1)
(+ (* x 1/4) 1/2)
1/2
1
(neg (/ 1 (+ (* x 1/2) -1)))
(/ 1 (+ (* x 1/2) -1))
(+ (* x 1/2) -1)

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

localize129.0ms (1.1%)

Memory

7.2MiB live, 257.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))
✓	accuracy	75.6%	(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
✓	accuracy	67.8%	(/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	96.0%	(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)

Samples

84.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 38.0ms (55.8% of total)

ival-add: 14.0ms (20.6% of total)

const: 8.0ms (11.8% of total)

ival-div: 5.0ms (7.3% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series15.0ms (0.1%)

Memory

-7.9MiB live, 30.7MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ (* x (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)) x)>
#<alt (* x (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))>
#<alt (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)>
#<alt (+ (* x (+ (* x 1/24) 1/6)) 1/2)>
#<alt (* x (* x 1/6))>
#<alt (* x 1/6)>
#<alt (+ (* (* x x) 1/6) (+ (* x 1/2) 1))>
#<alt (* x x)>
#<alt (+ (* x 1/2) 1)>
#<alt (neg (/ 1 (+ (* x 1/2) -1)))>
#<alt (+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (neg (/ 1 (+ (* x 1/2) -1))))>
#<alt (* x (* x 1/4))>
#<alt (* x 1/4)>
#<alt (+ (* x 1/24) 1/6)>
#<alt (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1))>
#<alt (+ (* 1/8 (* x (* x x))) -1)>
#<alt (* x (* x x))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (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 (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/32 (pow x 3)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (- (* -1/256 (pow x 3)) 1/32)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/2048 (pow x 3)) 1/256)) 1/32)) 1/4))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)>
#<alt (/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (/ 128 (pow x 6)))) x)>
#<alt (/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (+ (* 1024 (/ 1 (pow x 9))) (/ 128 (pow x 6))))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) (pow x 3))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 1024 (pow x 6)))) (pow x 3))) 2) x))>
#<alt -1>
#<alt (- (* 1/8 (pow x 3)) 1)>
#<alt (- (* 1/8 (pow x 3)) 1)>
#<alt (- (* 1/8 (pow x 3)) 1)>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (- 1/8 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (- 1/8 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (- 1/8 (/ 1 (pow x 3))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (neg (/ 1 (+ (* x 1/2) -1))))
1.0ms	x	@	inf	(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (neg (/ 1 (+ (* x 1/2) -1))))
1.0ms	x	@	-inf	(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (neg (/ 1 (+ (* x 1/2) -1))))
0.0ms	x	@	0	(* x (* x 1/6))
0.0ms	x	@	-inf	(* x (* x x))

rewrite473.0ms (4.2%)

Memory

18.8MiB live, 1 139.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 880×	`-lowering-.f32`
4 880×	`-lowering-.f64`
4 238×	`/-lowering-/.f32`
4 238×	`/-lowering-/.f64`
4 094×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	155
1	239	153
2	2180	153
0	8450	130

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 777

Calls

Call 1

Inputs
(/ (* x (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)) x)
(* x (+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1))
(+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)
(+ (* x (+ (* x 1/24) 1/6)) 1/2)
(* x (* x 1/6))
(* x 1/6)
(+ (* (* x x) 1/6) (+ (* x 1/2) 1))
(* x x)
(+ (* x 1/2) 1)
(neg (/ 1 (+ (* x 1/2) -1)))
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (neg (/ 1 (+ (* x 1/2) -1))))
(* x (* x 1/4))
(* x 1/4)
(+ (* x 1/24) 1/6)
(/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1))
(+ (* 1/8 (* x (* x x))) -1)
(* x (* x x))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(pow.f64 (/.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x)))
(.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x))
(.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) x)
(+.f64 x (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
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(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (.f64 x (.f64 x #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (.f64 x (.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))) x)
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x x) #s(literal -1 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) x #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 1/8 binary64)) x) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify413.0ms (3.7%)

Memory

8.6MiB live, 997.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 308×	`accelerator-lowering-fma.f32`
12 308×	`accelerator-lowering-fma.f64`
3 954×	`-lowering-.f32`
3 954×	`-lowering-.f64`
2 706×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1308
1	535	1299
2	1448	1274
3	4311	1268
4	7338	1264
0	8268	1149

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (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)
(pow x 2)
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1/32 (pow x 3)) 1/4))
(* (pow x 2) (- (* (pow x 3) (- (* -1/256 (pow x 3)) 1/32)) 1/4))
(* (pow x 2) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/2048 (pow x 3)) 1/256)) 1/32)) 1/4))
(/ 2 x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (/ 128 (pow x 6)))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (+ (* 1024 (/ 1 (pow x 9))) (/ 128 (pow x 6))))) x)
(/ 2 x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(* -1 (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) (pow x 3))) 2) x))
(* -1 (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 1024 (pow x 6)))) (pow x 3))) 2) x))
-1
(- (* 1/8 (pow x 3)) 1)
(- (* 1/8 (pow x 3)) 1)
(- (* 1/8 (pow x 3)) 1)
(* 1/8 (pow x 3))
(* (pow x 3) (- 1/8 (/ 1 (pow x 3))))
(* (pow x 3) (- 1/8 (/ 1 (pow x 3))))
(* (pow x 3) (- 1/8 (/ 1 (pow x 3))))
(* 1/8 (pow x 3))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

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

eval210.0ms (1.9%)

Memory: -12.0MiB live, 418.2MiB allocated
Compiler: Compiled 57 365 to 2 820 computations (95.1% saved)

prune126.0ms (1.1%)

Memory

1.9MiB live, 355.6MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	987	14	1 001
Fresh	0	4	4
Picked	2	3	5
Done	0	4	4
Total	989	25	1 014

Accuracy

100.0%

Counts

1 014 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
▶	53.6%	(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	2.7%	(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
	51.5%	(fma.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
✓	66.7%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	68.7%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	66.7%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	52.2%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
▶	70.1%	(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) x)
	52.3%	(/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	24.2%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) x)
	70.1%	(/.f64 (+.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) x)
	70.1%	(/.f64 (.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x)
▶	70.1%	(/.f64 (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
	21.3%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	18.2%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
	20.1%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	18.1%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
▶	20.2%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
	19.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	18.2%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
▶	3.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	52.2%	#s(literal 1 binary64)
✓	3.3%	#s(literal 0 binary64)

Compiler

Compiled 772 to 424 computations (45.1% saved)

simplify683.0ms (6%)

Memory

11.7MiB live, 1 250.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/4 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64)))
✓	cost-diff	640	(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)
✓	cost-diff	1024	(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	1024	(/.f64 (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)

Rules

24 524×	`accelerator-lowering-fma.f32`
24 524×	`accelerator-lowering-fma.f64`
5 234×	`-lowering-.f32`
5 234×	`-lowering-.f64`
3 762×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	325
1	138	325
2	351	317
3	1140	309
4	2993	307
5	4325	307
6	4663	307
7	5139	307
8	5367	307
9	5388	307
10	7288	307
11	7328	307
12	7363	307
13	7395	307
14	7878	307
15	7932	307
16	7975	307
0	8006	260

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)) x)
(* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1))
x
(+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)
(+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)
(/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))
(+ (* (* x x) 1/576) -1/36)
(* x x)
1/576
-1/36
(+ (* x 1/24) -1/6)
1/24
-1/6
1/2
1
(* 1/2 x)
1/2
x
(* x (* x (+ (* x 1/24) 1/6)))
x
(* x (+ (* x 1/24) 1/6))
(+ (* x 1/24) 1/6)
1/24
1/6
(/ (+ (* (+ (* x (+ (* x 1/24) 1/6)) 1/2) (* x x)) x) x)
(+ (* (+ (* x (+ (* x 1/24) 1/6)) 1/2) (* x x)) x)
(+ (* x (+ (* x 1/24) 1/6)) 1/2)
x
(+ (* x 1/24) 1/6)
1/24
1/6
1/2
(* x x)
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1))
(/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1))
(* x (* x 1/4))
x
(* x 1/4)
1/4
(+ (* 1/8 (* x (* x x))) -1)
1/8
(* x (* x x))
(* x x)
-1
(+ (* x (+ (* x 1/4) 1/2)) 1)
(+ (* x 1/4) 1/2)
1/2
1
(+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1)
(+ (* x (+ (* x 1/8) 1/4)) 1/2)
(+ (* x 1/8) 1/4)

Outputs
(/ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)) x)
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1))
(.f64 x (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
x
(+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(+ (* (* x x) 1/576) -1/36)
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
-1/36
#s(literal -1/36 binary64)
(+ (* x 1/24) -1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
1/24
#s(literal 1/24 binary64)
-1/6
#s(literal -1/6 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(* x (* x (+ (* x 1/24) 1/6)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
x
(* x (+ (* x 1/24) 1/6))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(+ (* x 1/24) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1/24
#s(literal 1/24 binary64)
1/6
#s(literal 1/6 binary64)
(/ (+ (* (+ (* x (+ (* x 1/24) 1/6)) 1/2) (* x x)) x) x)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* (+ (* x (+ (* x 1/24) 1/6)) 1/2) (* x x)) x)
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (* x (+ (* x 1/24) 1/6)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
x
(+ (* x 1/24) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
1/24
#s(literal 1/24 binary64)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1))
(/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(* x (* x 1/4))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
x
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ (* 1/8 (* x (* x x))) -1)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64))
1/8
#s(literal 1/8 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-1
#s(literal -1 binary64)
(+ (* x (+ (* x 1/4) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* x 1/4) 1/2)
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* x (+ (* x 1/8) 1/4)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+ (* x 1/8) 1/4)
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))

localize153.0ms (1.4%)

Memory

-27.7MiB live, 341.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))
✓	accuracy	67.8%	(/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	96.0%	(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) x)
✓	accuracy	99.8%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.6%	(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
✓	accuracy	96.0%	(/.f64 (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
✓	accuracy	75.5%	(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))

Samples

91.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 282 to 50 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 27.0ms (39.2% of total)

const: 18.0ms (26.2% of total)

ival-add: 16.0ms (23.2% of total)

ival-div: 7.0ms (10.2% of total)

exact: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series11.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (/ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)) x)>
#<alt (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1))>
#<alt (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)>
#<alt (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)>
#<alt (* 1/2 x)>
#<alt (* x (* x (+ (* x 1/24) 1/6)))>
#<alt (* x (+ (* x 1/24) 1/6))>
#<alt (+ (* x 1/24) 1/6)>
#<alt (/ (+ (* (+ (* x (+ (* x 1/24) 1/6)) 1/2) (* x x)) x) x)>
#<alt (+ (* (+ (* x (+ (* x 1/24) 1/6)) 1/2) (* x x)) x)>
#<alt (+ (* x (+ (* x 1/24) 1/6)) 1/2)>
#<alt (+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1))>
#<alt (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1))>
#<alt (* x (* x 1/4))>
#<alt (* x 1/4)>
#<alt (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))>
#<alt (+ (* x 1/24) -1/6)>
#<alt (+ (* (* x x) 1/576) -1/36)>
#<alt (+ (* 1/8 (* x (* x x))) -1)>
#<alt (* x (* x x))>
#<alt (+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1)>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* (pow x 2) (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/16 (pow x 3)))))>
#<alt (+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/32 x) 1/16)))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (/ 1 x)) x)) 1/8)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/8)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/32 (pow x 3)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (- (* -1/256 (pow x 3)) 1/32)) 1/4))>
#<alt (* (pow x 2) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/2048 (pow x 3)) 1/256)) 1/32)) 1/4))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)>
#<alt (/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (/ 128 (pow x 6)))) x)>
#<alt (/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (+ (* 1024 (/ 1 (pow x 9))) (/ 128 (pow x 6))))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) (pow x 3))) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 1024 (pow x 6)))) (pow x 3))) 2) x))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt -1/6>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (* 1/24 x)>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt -1/36>
#<alt (- (* 1/576 (pow x 2)) 1/36)>
#<alt (- (* 1/576 (pow x 2)) 1/36)>
#<alt (- (* 1/576 (pow x 2)) 1/36)>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- (* 1/8 (pow x 3)) 1)>
#<alt (- (* 1/8 (pow x 3)) 1)>
#<alt (- (* 1/8 (pow x 3)) 1)>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (- 1/8 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (- 1/8 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (- 1/8 (/ 1 (pow x 3))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/8)))>

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)) x)
0.0ms	x	@	inf	(/ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)) x)
0.0ms	x	@	inf	(+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)
0.0ms	x	@	-inf	(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1))
0.0ms	x	@	inf	(* 1/2 x)

rewrite350.0ms (3.1%)

Memory

9.5MiB live, 686.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 308×	`-lowering-.f32`
6 308×	`-lowering-.f64`
3 250×	`/-lowering-/.f32`
3 250×	`/-lowering-/.f64`
3 248×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	273
1	326	217
2	2994	217
0	8738	180

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 528

Calls

Call 1

Inputs
(/ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)) x)
(* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1))
(+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)
(+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)
(* 1/2 x)
(* x (* x (+ (* x 1/24) 1/6)))
(* x (+ (* x 1/24) 1/6))
(+ (* x 1/24) 1/6)
(/ (+ (* (+ (* x (+ (* x 1/24) 1/6)) 1/2) (* x x)) x) x)
(+ (* (+ (* x (+ (* x 1/24) 1/6)) 1/2) (* x x)) x)
(+ (* x (+ (* x 1/24) 1/6)) 1/2)
(+ (* (/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1)) (+ (* x (+ (* x 1/4) 1/2)) 1)) (+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1))
(/ (* x (* x 1/4)) (+ (* 1/8 (* x (* x x))) -1))
(* x (* x 1/4))
(* x 1/4)
(/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))
(+ (* x 1/24) -1/6)
(+ (* (* x x) 1/576) -1/36)
(+ (* 1/8 (* x (* x x))) -1)
(* x (* x x))
(+ (* x (+ (* x (+ (* x 1/8) 1/4)) 1/2)) 1)

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

simplify479.0ms (4.2%)

Memory

-32.9MiB live, 618.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 560×	`accelerator-lowering-fma.f32`
9 560×	`accelerator-lowering-fma.f64`
5 192×	`-lowering-.f32`
5 192×	`-lowering-.f64`
2 860×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1950
1	644	1948
2	1852	1864
3	6269	1852
0	8306	1686

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* (pow x 2) (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/16 (pow x 3)))))
(+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/32 x) 1/16)))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (+ (* 1/4 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (/ 1 x)) x)) 1/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/8)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* -1/32 (pow x 3)) 1/4))
(* (pow x 2) (- (* (pow x 3) (- (* -1/256 (pow x 3)) 1/32)) 1/4))
(* (pow x 2) (- (* (pow x 3) (- (* (pow x 3) (- (* -1/2048 (pow x 3)) 1/256)) 1/32)) 1/4))
(/ 2 x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (/ 128 (pow x 6)))) x)
(/ (+ 2 (+ (* 16 (/ 1 (pow x 3))) (+ (* 1024 (/ 1 (pow x 9))) (/ 128 (pow x 6))))) x)
(/ 2 x)
(/ (+ 2 (* 16 (/ 1 (pow x 3)))) x)
(* -1 (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) (pow x 3))) 2) x))
(* -1 (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 1024 (pow x 6)))) (pow x 3))) 2) x))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
-1/36
(- (* 1/576 (pow x 2)) 1/36)
(- (* 1/576 (pow x 2)) 1/36)
(- (* 1/576 (pow x 2)) 1/36)
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
-1
(- (* 1/8 (pow x 3)) 1)
(- (* 1/8 (pow x 3)) 1)
(- (* 1/8 (pow x 3)) 1)
(* 1/8 (pow x 3))
(* (pow x 3) (- 1/8 (/ 1 (pow x 3))))
(* (pow x 3) (- 1/8 (/ 1 (pow x 3))))
(* (pow x 3) (- 1/8 (/ 1 (pow x 3))))
(* 1/8 (pow x 3))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))))
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/8)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/24 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 x (.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)))
1/2
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(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
-1/36
#s(literal -1/36 binary64)
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
-1
#s(literal -1 binary64)
(- (* 1/8 (pow x 3)) 1)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(- (* 1/8 (pow x 3)) 1)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(- (* 1/8 (pow x 3)) 1)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(* 1/8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(* (pow x 3) (- 1/8 (/ 1 (pow x 3))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(* (pow x 3) (- 1/8 (/ 1 (pow x 3))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(* (pow x 3) (- 1/8 (/ 1 (pow x 3))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(* 1/8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1/8)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))
(* (pow x 3) (+ 1/8 (+ (/ 1/2 (pow x 2)) (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))))))
(fma.f64 (.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(* 1/8 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(* (pow x 3) (+ 1/8 (* 1/4 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/4 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/8)))
(.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)))

eval262.0ms (2.3%)

Memory: 24.3MiB live, 214.6MiB allocated
Compiler: Compiled 25 317 to 2 014 computations (92% saved)

prune184.0ms (1.6%)

Memory

-27.2MiB live, 220.1MiB allocated

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	823	11	834
Fresh	7	6	13
Picked	4	1	5
Done	0	7	7
Total	834	25	859

Accuracy

100.0%

Counts

859 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.0%	(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x x)))) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	50.9%	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
	2.7%	(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
	19.7%	(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	51.5%	(fma.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
✓	66.7%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	27.7%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
	68.7%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	66.7%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	52.2%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	22.6%	(/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))) (.f64 x (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
	7.7%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
	51.6%	(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
	21.3%	(/.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	19.1%	(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) x)))
	19.9%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
	20.2%	(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
	18.2%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
	20.1%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
	18.1%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	18.2%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	3.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	52.2%	#s(literal 1 binary64)
✓	3.3%	#s(literal 0 binary64)

Compiler

Compiled 1 028 to 373 computations (63.7% saved)

regimes22.0ms (0.2%)

Memory

36.7MiB live, 36.7MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x)
(/.f64 (+.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) x)
(/.f64 (.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) x)))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x x)))) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))) (.f64 x (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) x)
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

11.0ms	x
9.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes43.0ms (0.4%)

Memory

-6.0MiB live, 35.3MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x)
(/.f64 (+.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) x)
(/.f64 (.f64 x (fma.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) x)))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 16 binary64) (.f64 x (.f64 x x)))) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))) (.f64 x (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)) x)
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))

Outputs
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)

Calls

2 calls:

10.0ms	x
9.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
70.1%	1	`x`
70.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes35.0ms (0.3%)

Memory

-18.2MiB live, 19.7MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)))) x)

Outputs
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)

Calls

2 calls:

28.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
6.0ms	x

Results

Accuracy	Segments	Branch
70.8%	2	`x`
70.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Calls

2 calls:

5.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
68.7%	1	`x`
68.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory

-17.8MiB live, 20.9MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))

Calls

2 calls:

21.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.4%	2	`x`
69.4%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

Outputs
#s(literal 1 binary64)
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)))

Calls

2 calls:

4.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.3%	2	`x`
69.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes35.0ms (0.3%)

Memory

-22.8MiB live, 16.5MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))

Outputs
#s(literal 1 binary64)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))

Calls

2 calls:

31.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.3%	2	`x`
69.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
69.3%	2	`x`
69.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
66.7%	1	`x`
66.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes35.0ms (0.3%)

Memory

-32.5MiB live, 10.0MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Calls

2 calls:

32.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
66.8%	2	`x`
66.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(.f64 x (.f64 x #s(literal 1/6 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
66.8%	2	`x`
66.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
3.3%	1	`x`
3.3%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5735344566104663	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000036659367	1.5735344566104663

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5735344566104663	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5735344566104663	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5735344566104663	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5735344566104663	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5735344566104663	+inf

Compiler

Compiled 10 to 9 computations (10% saved)

simplify25.0ms (0.2%)

Memory

-24.8MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
4×	`unsub-neg_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	160
1	64	160
2	68	160
3	71	160
4	74	160
5	77	160

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3/2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
#s(literal 1 binary64)
#s(literal 0 binary64)

Outputs
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 3/2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 3/2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
#s(literal 1 binary64)
#s(literal 0 binary64)

soundness3.0s (26.9%)

Memory

41.4MiB live, 1 098.7MiB allocated

Rules

12 308×	`accelerator-lowering-fma.f32`
12 308×	`accelerator-lowering-fma.f64`
12 162×	`accelerator-lowering-fma.f32`
12 162×	`accelerator-lowering-fma.f64`
9 560×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	184
1	81	184
2	173	184
3	391	184
4	623	184
5	769	184
6	797	184
7	845	184
8	899	184
9	1593	184
10	4099	184
11	5148	184
12	5374	184
13	5508	184
14	5623	184
15	5629	184
16	5904	184
17	5904	184
18	6088	184
19	6161	184
20	6161	184
21	6369	184
22	6450	184
23	6450	184
0	6450	135
0	16	31
1	92	31
2	667	31
3	7092	31
0	8017	23
0	38	346
1	122	342
2	255	342
3	559	342
4	1382	342
5	4239	342
6	5866	342
7	7576	342
0	8082	265
0	186	1308
1	535	1299
2	1448	1274
3	4311	1268
4	7338	1264
0	8268	1149
0	223	1950
1	644	1948
2	1852	1864
3	6269	1852
0	8306	1686
0	5	12
1	32	12
2	217	12
3	2300	12
0	8886	8

Stop Event

1×	fuel
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×	saturated

Compiler

Compiled 462 to 246 computations (46.8% saved)

preprocess110.0ms (1%)

Memory: -7.6MiB live, 185.0MiB allocated
Compiler: Compiled 382 to 130 computations (66% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	14
1	13	14
2	16	14
3	22	14
4	31	14
5	43	14
6	63	14
7	107	14
8	170	14
9	320	14
10	476	14
11	568	14
12	635	14
13	845	14
14	852	14
15	853	14
0	853	10

Iter	Nodes	Cost
0	5	14
1	13	14
2	16	14
3	22	14
4	31	14
5	43	14
6	63	14
7	107	14
8	170	14
9	320	14
10	476	14
11	568	14
12	635	14
13	845	14
14	852	14
15	853	14
0	853	10

analyze1.0ms (0%)

sample457.0ms (4%)

preprocess60.0ms (0.5%)

explain280.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify48.0ms (0.4%)

localize18.0ms (0.2%)

series17.0ms (0.1%)

rewrite547.0ms (4.8%)

simplify521.0ms (4.6%)

eval136.0ms (1.2%)

prune164.0ms (1.5%)

simplify62.0ms (0.5%)

localize102.0ms (0.9%)

series3.0ms (0%)

rewrite539.0ms (4.8%)

simplify639.0ms (5.7%)

eval113.0ms (1%)

prune167.0ms (1.5%)

simplify522.0ms (4.6%)

localize129.0ms (1.1%)

series15.0ms (0.1%)

rewrite473.0ms (4.2%)

simplify413.0ms (3.7%)

eval210.0ms (1.9%)

prune126.0ms (1.1%)

simplify683.0ms (6%)

localize153.0ms (1.4%)

series11.0ms (0.1%)

rewrite350.0ms (3.1%)

simplify479.0ms (4.2%)

eval262.0ms (2.3%)

prune184.0ms (1.6%)

regimes22.0ms (0.2%)

regimes43.0ms (0.4%)

regimes35.0ms (0.3%)

regimes11.0ms (0.1%)

regimes26.0ms (0.2%)

regimes9.0ms (0.1%)

regimes35.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes35.0ms (0.3%)

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%)

simplify25.0ms (0.2%)

soundness3.0s (26.9%)

preprocess110.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	14
1	13	14
2	16	14
3	22	14
4	31	14
5	43	14
6	63	14
7	107	14
8	170	14
9	320	14
10	476	14
11	568	14
12	635	14
13	845	14
14	852	14
15	853	14
0	853	10