Metrics for Kahan's exp quotient

analyze1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

sample594.0ms (5.8%)

Memory

2.1MiB live, 512.8MiB allocated

Samples

414.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-expm1: 116.0ms (63.1% of total)

ival-div: 60.0ms (32.6% of total)

ival-true: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess67.0ms (0.6%)

Memory

-17.4MiB live, 70.5MiB allocated

Algorithm

1×	egg-herbie

Rules

240×	`accelerator-lowering-fma.f32`
240×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
168×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
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)

explain91.0ms (0.9%)

Memory

-5.1MiB live, 115.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
139	-	-	`(-.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	139	0

Confusion

	Predicted +	Predicted -
+	139	0
-	0	117

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	0	0	117

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	117
1	139

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

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 (34.7% of total)

ival-exp: 4.0ms (34.7% of total)

ival-expm1: 3.0ms (26.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify32.0ms (0.3%)

Memory

-9.2MiB live, 28.7MiB 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)

localize17.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB 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	50.8%	(-.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 (36.1% of total)

ival-exp: 2.0ms (36.1% of total)

ival-expm1: 2.0ms (36.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.8MiB live, 2.8MiB 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)

rewrite324.0ms (3.1%)

Memory

7.0MiB live, 475.9MiB 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 (*.f64 x #s(literal 3 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 (neg.f64 (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) (neg.f64 (expm1.f64 x)))
(-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 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 (*.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.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)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 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 (.f64 x #s(literal 3 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 (*.f64 x #s(literal 3 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 (.f64 x #s(literal 3 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 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.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 (.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.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 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.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 (.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.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 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (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 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (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 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (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 (neg.f64 (+.f64 (exp.f64 x) #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 (neg.f64 (+.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))))) (neg.f64 (neg.f64 (+.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)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (neg.f64 (expm1.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 (.f64 x #s(literal 3 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 (*.f64 x #s(literal 3 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 (.f64 x #s(literal 3 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 (*.f64 x #s(literal 3 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))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 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 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (pow.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (+.f64 x x))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (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) x) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x) (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (expm1.f64 (+.f64 x x))) (expm1.f64 x))
(.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) x) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (expm1.f64 x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (exp.f64 x) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (exp.f64 x)) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 (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 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 x (neg.f64 (expm1.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 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)) (neg.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))

simplify409.0ms (4%)

Memory

-12.7MiB live, 344.6MiB 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 (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 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)
(- (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)

eval59.0ms (0.6%)

Memory: 2.7MiB live, 155.7MiB allocated
Compiler: Compiled 11 320 to 1 474 computations (87% saved)

prune72.0ms (0.7%)

Memory

-6.1MiB live, 199.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	524	8	532
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	525	8	533

Accuracy

100.0%

Counts

533 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.9%	(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))
▶	64.6%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	55.5%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	69.7%	(/.f64 (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) x)
▶	53.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x))) (*.f64 x x))
	3.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	55.1%	#s(literal 1 binary64)

Compiler

Compiled 134 to 90 computations (32.8% saved)

simplify236.0ms (2.3%)

Memory

31.0MiB live, 307.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	320	(-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x)))
✓	cost-diff	448	(*.f64 #s(literal 0 binary64) (neg.f64 x))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x))) (*.f64 x x))
✓	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 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	(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	(expm1.f64 x)
✓	cost-diff	0	(/.f64 (expm1.f64 x) x)

Rules

5 170×	`accelerator-lowering-fma.f32`
5 170×	`accelerator-lowering-fma.f64`
2 434×	`-lowering-.f32`
2 434×	`-lowering-.f64`
1 504×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	95
1	79	93
2	184	93
3	658	92
4	2812	92
5	4515	92
6	5508	92
7	6904	92
8	7902	92
0	8046	72

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize74.0ms (0.7%)

Memory

11.3MiB live, 166.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(*.f64 (neg.f64 x) (expm1.f64 x))
✓	accuracy	56.1%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x))) (*.f64 x x))
✓	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%	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(/.f64 (expm1.f64 x) x)

Samples

46.0ms

256×

valid

Compiler

Compiled 93 to 26 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 13.0ms (39.1% of total)

const: 6.0ms (18% of total)

ival-add: 5.0ms (15% of total)

ival-div: 4.0ms (12% of total)

ival-expm1: 2.0ms (6% of total)

ival-sub: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-23.0MiB live, 16.0MiB allocated

Counts

12 → 144

Calls

Call 1

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* x (+ (* x 1/24) 1/6)) 1/2)
1.0ms	x	@	-inf	(/ (- (* 0 (neg x)) (* (neg x) (- (exp x) 1))) (* x x))
1.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2)) 1)
1.0ms	x	@	inf	(- (* 0 (neg x)) (* (neg x) (- (exp x) 1)))
0.0ms	x	@	-inf	(* (neg x) (- (exp x) 1))

rewrite319.0ms (3.1%)

Memory

-17.6MiB live, 678.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 900×	`accelerator-lowering-fma.f32`
4 900×	`accelerator-lowering-fma.f64`
3 856×	`/-lowering-/.f32`
3 856×	`/-lowering-/.f64`
3 848×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	75
1	179	73
2	1465	73
0	8417	54

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 935

Calls

Call 1

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

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

simplify316.0ms (3.1%)

Memory

22.6MiB live, 568.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 788×	`accelerator-lowering-fma.f32`
12 788×	`accelerator-lowering-fma.f64`
4 128×	`-lowering-.f32`
4 128×	`-lowering-.f64`
1 414×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	835
1	298	835
2	829	811
3	2581	811
4	5808	811
0	8196	643

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

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

eval160.0ms (1.6%)

Memory: 16.2MiB live, 217.9MiB allocated
Compiler: Compiled 24 399 to 2 660 computations (89.1% saved)

prune132.0ms (1.3%)

Memory

-12.1MiB live, 303.9MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 147	23	1 170
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	1 148	30	1 178

Accuracy

100.0%

Counts

1 178 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.9%	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	60.6%	(fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	67.9%	(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))
▶	58.8%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
▶	67.9%	(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))
	67.9%	(fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.9%	(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.9%	(fma.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.9%	(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.9%	(fma.f64 x (fma.f64 x (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	64.6%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	61.0%	(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
	61.0%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
	67.9%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
	61.0%	(fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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))
▶	55.5%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	58.4%	(/.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 (.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 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
	69.7%	(/.f64 (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) x)
▶	69.7%	(/.f64 (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) x)
	34.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.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 x x))
	3.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
	53.4%	(/.f64 (.f64 (expm1.f64 x) x) (.f64 x x))
	33.9%	(/.f64 (.f64 x (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)) (*.f64 x x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	15.6%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	12.4%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	15.9%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
	12.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	15.4%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	55.1%	#s(literal 1 binary64)

Compiler

Compiled 918 to 561 computations (38.9% saved)

simplify307.0ms (3%)

Memory

-5.9MiB live, 431.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
✓	cost-diff	0	(/.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)))
✓	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	(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	(*.f64 x (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 #s(literal 1/2 binary64) #s(literal 1 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	(*.f64 x (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 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
✓	cost-diff	1024	(/.f64 (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) x)

Rules

10 432×	`accelerator-lowering-fma.f32`
10 432×	`accelerator-lowering-fma.f64`
4 074×	`-lowering-.f32`
4 074×	`-lowering-.f64`
2 030×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	280
1	108	280
2	242	272
3	472	270
4	775	268
5	1075	268
6	1868	268
7	4144	268
8	7825	268
0	8049	224

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* x (* x (+ (* 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)) 1/2)
(+ (* x 1/24) 1/6)
1/24
1/6
1/2
(+ (* x 1/2) 1)
x
1/2
1
(* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))
x
(+ (* x (+ (* x 1/24) 1/6)) 1/2)
(+ (* x 1/24) 1/6)
1/24
1/6
1/2
(+ (* 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)
(/ (+ (* (* 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
(+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))) 1/2)) 1)
x
(+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))) 1/2)
(/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))
(+ (* (* x (* x x)) 1/13824) 1/216)
(* x (* x x))
(* x x)
1/13824
1/216
(+ (* (* x x) 1/576) (- 1/36 (* x 1/144)))
1/576
(- 1/36 (* x 1/144))
1/36
(* x 1/144)
1/144
1/2
1

Outputs
(/ (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) 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 (+ (* x (+ (* x 1/24) 1/6)) 1/2))) 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)
x
(* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))
(*.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 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)
(+ (* 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 (+ (* x 1/24) 1/6)) 1/2))
(*.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 (+ (* 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)
(+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)
(fma.f64 x (fma.f64 (fma.f64 x (*.f64 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) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)
(fma.f64 (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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)
(+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))) 1/2)) 1)
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))) 1/2)
(fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64))
(/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64)))
(+ (* (* x (* x x)) 1/13824) 1/216)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
1/13824
#s(literal 1/13824 binary64)
1/216
#s(literal 1/216 binary64)
(+ (* (* x x) 1/576) (- 1/36 (* x 1/144)))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal -1/144 binary64)) #s(literal 1/36 binary64))
1/576
#s(literal 1/576 binary64)
(- 1/36 (* x 1/144))
(fma.f64 x #s(literal -1/144 binary64) #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
(* x 1/144)
(*.f64 x #s(literal 1/144 binary64))
1/144
#s(literal 1/144 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)

localize155.0ms (1.5%)

Memory

24.7MiB live, 218.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
✓	accuracy	99.5%	(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/144 binary64))
✓	accuracy	71.6%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))
✓	accuracy	99.9%	(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))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
✓	accuracy	99.5%	(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
✓	accuracy	81.6%	(/.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)))
✓	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%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #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%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	96.0%	(/.f64 (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) x)

Samples

82.0ms

256×

valid

Compiler

Compiled 253 to 44 computations (82.6% saved)

Precisions

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

const: 23.0ms (36.7% of total)

ival-mult: 19.0ms (30.3% of total)

ival-add: 12.0ms (19.1% of total)

ival-div: 5.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

-20.9MiB live, 19.1MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (/ (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) x)>
#<alt (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x)>
#<alt (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))>
#<alt (+ (* x (+ (* x 1/24) 1/6)) 1/2)>
#<alt (+ (* x 1/2) 1)>
#<alt (+ (* x 1/24) 1/6)>
#<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 (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))>
#<alt (+ (* (* x x) 1/576) -1/36)>
#<alt (+ (* (* x x) 1/576) (- 1/36 (* x 1/144)))>
#<alt (- 1/36 (* x 1/144))>
#<alt (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))) 1/2)) 1)>
#<alt (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))) 1/2)>
#<alt (+ (* x 1/24) -1/6)>
#<alt (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))>
#<alt (* x 1/144)>
#<alt (+ (* (* x (* x x)) 1/13824) 1/216)>

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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 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)))))>
#<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))) 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>
#<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 1/6>
#<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 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>
#<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 -1/36>
#<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 1/36>
#<alt (+ 1/36 (* -1/144 x))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (+ 1/36 (* x (- (* 1/576 x) 1/144)))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/144 x))>
#<alt (+ 1/36 (* -1/144 x))>
#<alt (+ 1/36 (* -1/144 x))>
#<alt (* -1/144 x)>
#<alt (* x (- (* 1/36 (/ 1 x)) 1/144))>
#<alt (* x (- (* 1/36 (/ 1 x)) 1/144))>
#<alt (* x (- (* 1/36 (/ 1 x)) 1/144))>
#<alt (* -1/144 x)>
#<alt (* -1 (* x (- 1/144 (* 1/36 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/144 (* 1/36 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/144 (* 1/36 (/ 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 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>
#<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 1/6>
#<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 (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt 1/216>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))
0.0ms	x	@	inf	(+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)) 1)
0.0ms	x	@	inf	(/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))
0.0ms	x	@	inf	(+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) -1/6))) 1/2)
0.0ms	x	@	inf	(/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))

rewrite662.0ms (6.4%)

Memory

33.3MiB live, 701.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 564×	`accelerator-lowering-fma.f32`
5 564×	`accelerator-lowering-fma.f64`
4 160×	`/-lowering-/.f32`
4 160×	`/-lowering-/.f64`
3 970×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	170
1	278	154
2	2591	154
0	8923	124

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 008

Calls

Call 1

Inputs
(/ (+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x) x)
(+ (* x (* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))) x)
(* x (+ (* x (+ (* x 1/24) 1/6)) 1/2))
(+ (* x (+ (* x 1/24) 1/6)) 1/2)
(+ (* x 1/2) 1)
(+ (* x 1/24) 1/6)
(+ (* 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 1/144)))
(- 1/36 (* x 1/144))
(+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))) 1/2)) 1)
(+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))) 1/2)
(+ (* x 1/24) -1/6)
(/ (+ (* (* x (* x x)) 1/13824) 1/216) (+ (* (* x x) 1/576) (- 1/36 (* x 1/144))))
(* x 1/144)
(+ (* (* x (* x x)) 1/13824) 1/216)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (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))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.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))) (.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)))) (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))) (neg.f64 x))) x) (/.f64 (/.f64 (.f64 x 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))) (neg.f64 x))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (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) (neg.f64 x)))
(-.f64 (/.f64 (.f64 (.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))) (.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)))) (.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))) (neg.f64 x)))) (/.f64 (.f64 x 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))) (neg.f64 x)))))
(neg.f64 (/.f64 (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) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (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)) x))
(/.f64 (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) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (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)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (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)))))
(/.f64 (neg.f64 (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)) (neg.f64 x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (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 (-.f64 x (.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)))) (.f64 (.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))) (.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)))))))
(/.f64 (.f64 (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) (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))) (neg.f64 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))) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (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))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (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)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.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 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (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 (fma.f64 x (-.f64 x (.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)))) (.f64 (.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))) (.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 (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) #s(literal 1/46656 binary64))) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2985984 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)))) (neg.f64 (-.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/46656 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (fma.f64 (/.f64 #s(literal 1/46656 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1/46656 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1/46656 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2985984 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2985984 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))

simplify261.0ms (2.5%)

Memory

-25.4MiB live, 460.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 388×	`accelerator-lowering-fma.f32`
9 388×	`accelerator-lowering-fma.f64`
3 638×	`-lowering-.f32`
3 638×	`-lowering-.f64`
1 902×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1438
1	379	1425
2	1024	1420
3	3105	1368
4	6562	1368
0	8197	1152

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 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)))))
(* 1/24 (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))) 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
(+ 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)))
1/6
(+ 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)))
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
(+ 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))))
-1/36
(- (* 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)))))
1/36
(+ 1/36 (* -1/144 x))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(+ 1/36 (* x (- (* 1/576 x) 1/144)))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* (pow x 2) (- (+ 1/576 (/ 1/36 (pow x 2))) (* 1/144 (/ 1 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
(* (pow x 2) (+ 1/576 (* -1 (/ (- 1/144 (* 1/36 (/ 1 x))) x))))
1/36
(+ 1/36 (* -1/144 x))
(+ 1/36 (* -1/144 x))
(+ 1/36 (* -1/144 x))
(* -1/144 x)
(* x (- (* 1/36 (/ 1 x)) 1/144))
(* x (- (* 1/36 (/ 1 x)) 1/144))
(* x (- (* 1/36 (/ 1 x)) 1/144))
(* -1/144 x)
(* -1 (* x (- 1/144 (* 1/36 (/ 1 x)))))
(* -1 (* x (- 1/144 (* 1/36 (/ 1 x)))))
(* -1 (* x (- 1/144 (* 1/36 (/ 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)))
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
(- (* 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)))
1/6
(+ 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))))
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
1/216
(+ 1/216 (* 1/13824 (pow x 3)))
(+ 1/216 (* 1/13824 (pow x 3)))
(+ 1/216 (* 1/13824 (pow x 3)))
(* 1/13824 (pow x 3))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* 1/13824 (pow x 3))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))

Outputs
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))
(* 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 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))
(* 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 x (.f64 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 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(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 (* 1/2 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(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)
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.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)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(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)
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.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)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x x))) x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 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 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)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 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 x (.f64 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)))
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(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))

eval404.0ms (3.9%)

Memory: 19.2MiB live, 358.8MiB allocated
Compiler: Compiled 49 536 to 3 094 computations (93.8% saved)

prune208.0ms (2%)

Memory

26.0MiB live, 312.0MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 453	11	1 464
Fresh	14	7	21
Picked	3	2	5
Done	0	4	4
Total	1 470	24	1 494

Accuracy

100.0%

Counts

1 494 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.6%	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
✓	67.9%	(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))
▶	70.4%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	55.2%	(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))
	67.9%	(fma.f64 x (fma.f64 x (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	64.6%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	55.5%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	58.4%	(/.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 (.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 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
▶	68.6%	(/.f64 (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) x) x)
	3.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
	28.7%	(/.f64 (.f64 (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) (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))) (neg.f64 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))) (neg.f64 x))))
	17.7%	(/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
	17.4%	(/.f64 (.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)
	53.4%	(/.f64 (.f64 (expm1.f64 x) x) (.f64 x x))
	17.2%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	15.6%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	12.4%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	15.9%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
	15.4%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
▶	3.4%	(*.f64 x #s(literal 1/2 binary64))
	12.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	15.4%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	55.1%	#s(literal 1 binary64)

Compiler

Compiled 517 to 296 computations (42.7% saved)

simplify642.0ms (6.2%)

Memory

-29.2MiB live, 574.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) x)
✓	cost-diff	1024	(/.f64 (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) x) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	cost-diff	320	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
✓	cost-diff	0	(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	704	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64))

Rules

21 416×	`accelerator-lowering-fma.f32`
21 416×	`accelerator-lowering-fma.f64`
5 812×	`-lowering-.f32`
5 812×	`-lowering-.f64`
3 876×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	137
1	59	135
2	126	131
3	216	131
4	279	129
5	327	129
6	609	125
7	1011	123
8	1723	123
9	3799	123
10	4339	123
11	4647	123
12	5034	123
13	5573	123
14	6329	123
0	9162	111

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)) 1/2)) 1)
x
(+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)) 1/2)
(/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)
(+ (* (* x (* x x)) 1/13824) 1/216)
(* x (* x x))
(* x x)
1/13824
1/216
1/36
1/2
1
(* x 1/2)
x
1/2
(* 1/24 (* x (* x x)))
1/24
(* x (* x x))
x
(* x x)
(+ (* (+ (* x 1/24) 1/6) (* x x)) (* x 1/2))
(+ (* x 1/24) 1/6)
x
1/24
1/6
(* x x)
(* x 1/2)
1/2
(/ (+ (* x (* 1/24 (* x (* x x)))) x) x)
(+ (* x (* 1/24 (* x (* x x)))) x)
x
(* 1/24 (* x (* x x)))
1/24
(* x (* x x))
(* x x)

Outputs
(+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/384 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)) 1/2)
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/384 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/384 binary64)) #s(literal 1/6 binary64))
(+ (* (* x (* x x)) 1/13824) 1/216)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
1/13824
#s(literal 1/13824 binary64)
1/216
#s(literal 1/216 binary64)
1/36
#s(literal 1/36 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* 1/24 (* x (* x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
1/24
#s(literal 1/24 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (* (+ (* x 1/24) 1/6) (* x x)) (* x 1/2))
(*.f64 x (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))
x
1/24
#s(literal 1/24 binary64)
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (+ (* x (* 1/24 (* x (* x x)))) x) x)
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
(+ (* x (* 1/24 (* x (* x x)))) x)
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)
x
(* 1/24 (* x (* x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
1/24
#s(literal 1/24 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)

localize135.0ms (1.3%)

Memory

22.5MiB live, 136.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	96.0%	(/.f64 (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) x) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))
✓	accuracy	99.9%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64))

Samples

60.0ms

256×

valid

Compiler

Compiled 149 to 28 computations (81.2% saved)

Precisions

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

ival-mult: 23.0ms (50% of total)

const: 13.0ms (28.3% of total)

ival-add: 6.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)>
#<alt (+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)) 1/2)) 1)>
#<alt (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)) 1/2)>
#<alt (+ (* (* x (* x x)) 1/13824) 1/216)>
#<alt (* x 1/2)>
#<alt (* 1/24 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ (* (+ (* x 1/24) 1/6) (* x x)) (* x 1/2))>
#<alt (+ (* x 1/24) 1/6)>
#<alt (/ (+ (* x (* 1/24 (* x (* x x)))) x) x)>
#<alt (+ (* x (* 1/24 (* x (* x x)))) x)>

Outputs
#<alt 1/6>
#<alt (+ 1/6 (* 1/384 (pow x 3)))>
#<alt (+ 1/6 (* 1/384 (pow x 3)))>
#<alt (+ 1/6 (* 1/384 (pow x 3)))>
#<alt (* 1/384 (pow x 3))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* 1/384 (pow x 3))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))))>
#<alt (* 1/384 (pow x 5))>
#<alt (* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt (* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (+ (* 1/6 (/ 1 (pow x 3))) (/ 1 (pow x 5))))))>
#<alt (* 1/384 (pow x 5))>
#<alt (* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) (pow x 3))) 1/384)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) (pow x 3))) 1/384)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))>
#<alt (* 1/384 (pow x 4))>
#<alt (* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt (* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt (* 1/384 (pow x 4))>
#<alt (* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt (* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))>
#<alt 1/216>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (+ 1/216 (* 1/13824 (pow x 3)))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<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 (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (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 (pow x 3)>
#<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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 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)))))>
#<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))) x)) 1/24)))>
#<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 (* 1/24 (pow x 3)))>
#<alt (+ 1 (* 1/24 (pow x 3)))>
#<alt (+ 1 (* 1/24 (pow x 3)))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))>
#<alt x>
#<alt (* x (+ 1 (* 1/24 (pow x 3))))>
#<alt (* x (+ 1 (* 1/24 (pow x 3))))>
#<alt (* x (+ 1 (* 1/24 (pow x 3))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))>
#<alt (* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)
1.0ms	x	@	inf	(/ (+ (* x (* 1/24 (* x (* x x)))) x) x)
0.0ms	x	@	-inf	(/ (+ (* x (* 1/24 (* x (* x x)))) x) x)
0.0ms	x	@	0	(/ (+ (* x (* 1/24 (* x (* x x)))) x) x)
0.0ms	x	@	-inf	(* 1/24 (* x (* x x)))

rewrite642.0ms (6.2%)

Memory

-46.6MiB live, 655.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 006×	`accelerator-lowering-fma.f32`
12 006×	`accelerator-lowering-fma.f64`
5 642×	`-lowering-.f32`
5 642×	`-lowering-.f64`
3 352×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	98
1	151	96
2	1141	92
0	8875	80

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 488

Calls

Call 1

Inputs
(/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)
(+ (* x (+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)) 1/2)) 1)
(+ (* x (/ (+ (* (* x (* x x)) 1/13824) 1/216) 1/36)) 1/2)
(+ (* (* x (* x x)) 1/13824) 1/216)
(* x 1/2)
(* 1/24 (* x (* x x)))
(* x (* x x))
(* x x)
(+ (* (+ (* x 1/24) 1/6) (* x x)) (* x 1/2))
(+ (* x 1/24) 1/6)
(/ (+ (* x (* 1/24 (* x (* x x)))) x) x)
(+ (* x (* 1/24 (* x (* x x)))) x)

Outputs
(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 36 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal 36 binary64)))
(+.f64 (.f64 #s(literal 36 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) #s(literal 1/6 binary64))
(+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal 36 binary64)) #s(literal 1/6 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal -36 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/36 binary64)) (/.f64 (/.f64 #s(literal 1/46656 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/36 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))))
(fma.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 36 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 36 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/6 binary64))
(neg.f64 (.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal -36 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal -36 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))) #s(literal 1/10077696 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))) #s(literal 1/10077696 binary64)) #s(literal 36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) #s(literal 36 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) #s(literal -1/36 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64)) (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64))))))
(/.f64 #s(literal 36 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64))) (neg.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64)))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64))) (neg.f64 (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64)) #s(literal 36 binary64)) (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) #s(literal 36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64)) #s(literal 36 binary64))) (neg.f64 (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) #s(literal 36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal 1/216 binary64)))
(pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 36 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal 36 binary64) #s(literal 1/6 binary64)))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64)) #s(literal -36 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)))))))
(.f64 #s(literal 36 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal -36 binary64)))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64)) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))))))
(.f64 (.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/191102976 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64))
(.f64 (.f64 #s(literal 36 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/2641807540224 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/10077696 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/46656 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))))))
(.f64 (.f64 #s(literal 36 binary64) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))
(+.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (*.f64 #s(literal 36 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x)))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x))))
(-.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)))) (fma.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))))) (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 #s(literal 36 binary64) x) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal 36 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) #s(literal 36 binary64) #s(literal 1/6 binary64)) (.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x)) x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 #s(literal 36 binary64) x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))
(.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) x (-.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64)))))))
(.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/24 binary64)) (neg.f64 x)))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) x (-.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/24 binary64)) x)))
(.f64 (.f64 x (-.f64 x (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(.f64 (fma.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) x)

simplify257.0ms (2.5%)

Memory

-2.4MiB live, 484.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 370×	`accelerator-lowering-fma.f32`
8 370×	`accelerator-lowering-fma.f64`
3 276×	`-lowering-.f32`
3 276×	`-lowering-.f64`
1 664×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	884
1	290	884
2	771	856
3	2268	852
4	5312	852
5	7961	852
0	8094	763

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
1/6
(+ 1/6 (* 1/384 (pow x 3)))
(+ 1/6 (* 1/384 (pow x 3)))
(+ 1/6 (* 1/384 (pow x 3)))
(* 1/384 (pow x 3))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* 1/384 (pow x 3))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))))
(* 1/384 (pow x 5))
(* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (+ (* 1/6 (/ 1 (pow x 3))) (/ 1 (pow x 5))))))
(* 1/384 (pow x 5))
(* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) (pow x 3))) 1/384)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) (pow x 3))) 1/384)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))
(+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))
(* 1/384 (pow x 4))
(* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(* 1/384 (pow x 4))
(* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
1/216
(+ 1/216 (* 1/13824 (pow x 3)))
(+ 1/216 (* 1/13824 (pow x 3)))
(+ 1/216 (* 1/13824 (pow x 3)))
(* 1/13824 (pow x 3))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* 1/13824 (pow x 3))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* 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)
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (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)
(pow x 3)
(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)
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 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)))))
(* 1/24 (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))) x)) 1/24)))
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 (* 1/24 (pow x 3)))
(+ 1 (* 1/24 (pow x 3)))
(+ 1 (* 1/24 (pow x 3)))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
x
(* x (+ 1 (* 1/24 (pow x 3))))
(* x (+ 1 (* 1/24 (pow x 3))))
(* x (+ 1 (* 1/24 (pow x 3))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))

Outputs
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/384 (pow x 3)))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/384 (pow x 3)))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/384 (pow x 3)))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(* 1/384 (pow x 3))
(.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(* 1/384 (pow x 3))
(.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))
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 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/384 (pow x 5))
(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/384 (+ (/ 1/2 (pow x 4)) (+ (* 1/6 (/ 1 (pow x 3))) (/ 1 (pow x 5))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)))
(* 1/384 (pow x 5))
(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) (pow x 3))) 1/384)))
(.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) (pow x 3))) 1/384)))
(.f64 (.f64 x x) (-.f64 (.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/6 (* 1/384 (pow x 3)))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/384 (pow x 4))
(.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/384 (pow x 4))
(.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/384 (* 1/6 (/ 1 (pow x 3)))))
(.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/384 (+ (/ 1/2 (pow x 4)) (* 1/6 (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
1/216
#s(literal 1/216 binary64)
(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(+ 1/216 (* 1/13824 (pow x 3)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* 1/13824 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* (pow x 3) (+ 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 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 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 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)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 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))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(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))
(* 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
#s(literal 1 binary64)
(+ 1 (* 1/24 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/24 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/24 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 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 (pow x 3))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 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 (pow x 3))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
(* (pow x 3) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/24 (pow x 3))))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)
(* x (+ 1 (* 1/24 (pow x 3))))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)
(* x (+ 1 (* 1/24 (pow x 3))))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)
(* 1/24 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)
(* 1/24 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/24 binary64)))
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)
(* (pow x 4) (+ 1/24 (/ 1 (pow x 3))))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)) x)

eval172.0ms (1.7%)

Memory: 12.2MiB live, 200.2MiB allocated
Compiler: Compiled 20 305 to 1 655 computations (91.8% saved)

prune113.0ms (1.1%)

Memory

-15.9MiB live, 310.0MiB allocated

Pruning

41 alts after pruning (31 fresh and 10 done)

	Pruned	Kept	Total
New	736	23	759
Fresh	5	8	13
Picked	1	4	5
Done	0	6	6
Total	742	41	783

Accuracy

100.0%

Counts

783 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	15.6%	(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
	57.9%	(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1296 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
	70.4%	(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	70.4%	(fma.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	70.4%	(fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 #s(literal 36 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
	58.4%	(fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.4%	(fma.f64 x (fma.f64 (/.f64 x #s(literal 1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.4%	(fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.4%	(fma.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal 36 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.4%	(fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	67.9%	(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))
	70.4%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (*.f64 #s(literal 1/576 binary64) x)) x) #s(literal 1/24 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	70.4%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	58.4%	(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.4%	(fma.f64 x (fma.f64 x (/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.3%	(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	70.4%	(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	55.2%	(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))
	58.4%	(fma.f64 x (fma.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	67.9%	(fma.f64 x (fma.f64 x (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
	58.4%	(fma.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	64.6%	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	55.5%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
	3.3%	(/.f64 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) x)
	6.2%	(/.f64 (.f64 (.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 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
	53.4%	(/.f64 (.f64 (expm1.f64 x) x) (.f64 x x))
	27.6%	(/.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64))) x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
	15.4%	(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)
	15.4%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
	18.2%	(.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	15.6%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
	12.4%	(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	18.5%	(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
	15.9%	(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
	15.4%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
	18.0%	(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	3.4%	(*.f64 x #s(literal 1/2 binary64))
	12.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	15.4%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	55.1%	#s(literal 1 binary64)

Compiler

Compiled 1 746 to 658 computations (62.3% saved)

regimes36.0ms (0.4%)

Memory

22.5MiB live, 100.9MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.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 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.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 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 (+.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(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))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) x)
(/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(/.f64 (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) x) x)
(/.f64 (.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)
(fma.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal 36 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (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) x)
(/.f64 (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) x)
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 #s(literal 36 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x #s(literal 1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.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))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x (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)) (*.f64 x x))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (*.f64 #s(literal 1/576 binary64) x)) x) #s(literal 1/24 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (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 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.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 x x))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.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 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 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 (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 (.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 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64))) x))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (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) (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))) (neg.f64 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))) (neg.f64 x))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1296 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (expm1.f64 x) x) (.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 x) (expm1.f64 x))) (*.f64 x x))

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

Calls

2 calls:

18.0ms	x
15.0ms	(/.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)

regimes36.0ms (0.3%)

Memory

-20.2MiB live, 98.8MiB allocated

Counts

62 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.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 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.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 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 (+.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(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))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) x)
(/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(/.f64 (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) x) x)
(/.f64 (.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)
(fma.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal 36 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (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) x)
(/.f64 (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) x)
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 #s(literal 36 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x #s(literal 1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.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))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x (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)) (*.f64 x x))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (*.f64 #s(literal 1/576 binary64) x)) x) #s(literal 1/24 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (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 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.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 x x))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.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 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 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 (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 (.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 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64))) x))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (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) (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))) (neg.f64 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))) (neg.f64 x))))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1296 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Outputs

(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1296 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (*.f64 #s(literal 36 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))

(*.f64 x (*.f64 #s(literal 1/384 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))

Calls

2 calls:

17.0ms	x
15.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
72.8%	2	`x`
70.4%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

14.0MiB live, 53.1MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.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 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.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 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 (+.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(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))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) x)
(/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(/.f64 (fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))) x) x)
(/.f64 (.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)
(fma.f64 x (fma.f64 (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal 36 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (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) x)
(/.f64 (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) x)
(fma.f64 x (fma.f64 x (/.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64))) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 #s(literal 36 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64) #s(literal -1/216 binary64))) #s(literal -36 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x #s(literal 1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.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))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x (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)) (*.f64 x x))
(fma.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (*.f64 #s(literal 1/576 binary64) x)) x) #s(literal 1/24 binary64) #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (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 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.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 x x))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.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 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 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 (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 (.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 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1 binary64))) x))
(fma.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) x) #s(literal -1/46656 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (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) (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))) (neg.f64 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))) (neg.f64 x))))

Outputs
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
70.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes29.0ms (0.3%)

Memory

-17.3MiB live, 25.6MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.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 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.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 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 (+.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

Outputs

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

(*.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/384 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

Calls

2 calls:

21.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
6.0ms	x

Results

Accuracy	Segments	Branch
70.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
70.9%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.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 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.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 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 (+.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))))

Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64))))

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
70.9%	2	`x`
70.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory

-5.6MiB live, 33.8MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.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 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) x)
(.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.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 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 (+.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 x x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (*.f64 x x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))

Outputs
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x)))))

Calls

2 calls:

20.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
6.0ms	x

Results

Accuracy	Segments	Branch
70.9%	2	`x`
70.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-6.8MiB live, 31.8MiB allocated

Counts

18 → 1

Calls

Call 1

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

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
67.9%	1	`x`
67.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-11.7MiB live, 26.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
68.3%	2	`x`
68.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.3%	2	`x`
68.3%	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

-30.2MiB live, 20.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
68.3%	2	`x`
68.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.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
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
64.6%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.6%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.1%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-24.9MiB live, 14.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
64.1%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.1%	2	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes4.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(fma.f64 x #s(literal 1/2 binary64) #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
55.5%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
55.5%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total -33.3b remaining (-115.9%)

Threshold costs -33.3b (-115.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.1%	1	`x`
55.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch3.0ms (0%)

Memory

-33.1MiB live, 4.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.0761008324058211e+60	2.1643430137686973e+65

Samples

2.0ms

16×

valid

Compiler

Compiled 68 to 35 computations (48.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

ival-expm1: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0606223896711882	6.25587263120777e+42

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0606223896711882	6.25587263120777e+42

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0606223896711882	6.25587263120777e+42

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0606223896711882	6.25587263120777e+42

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0606223896711882	6.25587263120777e+42

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch12.0ms (0.1%)

Memory

35.1MiB live, 35.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.2708592216241506e-11	103.17855558607053

Samples

6.0ms

160×

valid

Compiler

Compiled 190 to 137 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-expm1: 2.0ms (70.6% of total)

ival-div: 1.0ms (35.3% of total)

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

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

bsearch14.0ms (0.1%)

Memory

-0.2MiB live, 35.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2708592216241506e-11	103.17855558607053

Samples

8.0ms

160×

valid

Compiler

Compiled 150 to 117 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-expm1: 4.0ms (83% of total)

ival-div: 1.0ms (20.7% of total)

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

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

bsearch14.0ms (0.1%)

Memory

-6.7MiB live, 37.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2708592216241506e-11	103.17855558607053

Samples

6.0ms

160×

valid

Compiler

Compiled 140 to 107 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-expm1: 2.0ms (73.1% of total)

ival-div: 1.0ms (36.6% of total)

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

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

simplify12.0ms (0.1%)

Memory

0.8MiB live, 40.5MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-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	70	276
1	93	276
2	97	276
3	100	276
4	103	276
5	106	276

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1296 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x))))))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x 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)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x 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)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 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 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #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)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(if (<=.f64 x #s(literal 13/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 9/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1296 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 #s(literal 36 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x))))))
(if (<=.f64 x #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) (fma.f64 (.f64 x (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) #s(literal 1296 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (.f64 x #s(literal 36 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (.f64 x x))))))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/384 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 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (*.f64 x 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)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/384 binary64)) #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)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x x)) #s(literal 1/6 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/384 binary64)) #s(literal 1/6 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/384 binary64) (.f64 x (.f64 x (*.f64 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 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #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)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #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)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(if (<=.f64 x #s(literal 13/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
(if (<=.f64 x #s(literal 13/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x 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 x #s(literal 5/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 9/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 9/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness3.0s (29.5%)

Memory

-17.2MiB live, 1 376.2MiB allocated

Rules

12 788×	`accelerator-lowering-fma.f32`
12 788×	`accelerator-lowering-fma.f64`
12 006×	`accelerator-lowering-fma.f32`
12 006×	`accelerator-lowering-fma.f64`
9 388×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	75
1	179	73
2	1465	73
0	8417	54
0	96	835
1	298	835
2	829	811
3	2581	811
4	5808	811
0	8196	643
0	121	1438
1	379	1425
2	1024	1420
3	3105	1368
4	6562	1368
0	8197	1152
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	26	98
1	151	96
2	1141	92
0	8875	80
0	5	12
1	32	12
2	217	12
3	2300	12
0	8886	8
0	93	884
1	290	884
2	771	856
3	2268	852
4	5312	852
5	7961	852
0	8094	763

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

Compiler

Compiled 795 to 432 computations (45.7% saved)

preprocess89.0ms (0.9%)

Memory: 9.5MiB live, 241.7MiB allocated
Compiler: Compiled 614 to 176 computations (71.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
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

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	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
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

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%)

sample594.0ms (5.8%)

preprocess67.0ms (0.6%)

explain91.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.3%)

localize17.0ms (0.2%)

series2.0ms (0%)

rewrite324.0ms (3.1%)

simplify409.0ms (4%)

eval59.0ms (0.6%)

prune72.0ms (0.7%)

simplify236.0ms (2.3%)

localize74.0ms (0.7%)

series9.0ms (0.1%)

rewrite319.0ms (3.1%)

simplify316.0ms (3.1%)

eval160.0ms (1.6%)

prune132.0ms (1.3%)

simplify307.0ms (3%)

localize155.0ms (1.5%)

series15.0ms (0.1%)

rewrite662.0ms (6.4%)

simplify261.0ms (2.5%)

eval404.0ms (3.9%)

prune208.0ms (2%)

simplify642.0ms (6.2%)

localize135.0ms (1.3%)

series9.0ms (0.1%)

rewrite642.0ms (6.2%)

simplify257.0ms (2.5%)

eval172.0ms (1.7%)

prune113.0ms (1.1%)

regimes36.0ms (0.4%)

regimes36.0ms (0.3%)

regimes19.0ms (0.2%)

regimes29.0ms (0.3%)

regimes12.0ms (0.1%)

regimes27.0ms (0.3%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch14.0ms (0.1%)

simplify12.0ms (0.1%)

soundness3.0s (29.5%)

preprocess89.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	17
1	27	15
2	70	14
3	209	14
4	523	14
5	669	14
6	790	14
7	825	14
8	826	14
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

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