Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 9 computations (40% saved)

sample5.2s (62.7%)

Memory

37.5MiB live, 4 169.9MiB allocated

Samples

3.4s	7 816×	1	valid
868.0ms	7 776×	0	exit
27.0ms	440×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-exp: 1.7s (49.1% of total)

adjust: 798.0ms (23.4% of total)

ival-sub: 383.0ms (11.2% of total)

ival-div: 208.0ms (6.1% of total)

ival-neg: 184.0ms (5.4% of total)

ival-add: 147.0ms (4.3% of total)

ival-true: 13.0ms (0.4% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

preprocess200.0ms (2.4%)

Memory

-14.4MiB live, 103.4MiB allocated

Algorithm

1×	egg-herbie

Rules

689×	`fma-define`
254×	`fmm-def`
158×	`div-sub`
128×	`times-frac`
115×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	220
1	51	220
2	108	220
3	238	220
4	576	220
5	1291	220
6	2486	220
7	2564	220
8	2599	220
9	2630	220
10	2668	220
11	2684	220
12	2692	220

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(negabs x)

explain209.0ms (2.5%)

Memory

27.3MiB live, 463.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
248	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
7	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	248	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	7	0
↳	`(exp.f64 x)`	overflow	7
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	7
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	7
↳	`(exp.f64 x)`	overflow	7

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

123.0ms	490×	1	valid
2.0ms	22×	0	valid

Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-exp: 73.0ms (71.5% of total)

ival-neg: 7.0ms (6.9% of total)

ival-div: 6.0ms (5.9% of total)

adjust: 6.0ms (5.9% of total)

ival-add: 5.0ms (4.9% of total)

ival-sub: 5.0ms (4.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify74.0ms (0.9%)

Memory

-27.2MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 (neg.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

318×	`fma-define`
299×	`fmm-def`
100×	`div-sub`
98×	`times-frac`
62×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	137
1	24	137
2	44	137
3	71	137
4	132	137
5	304	137
6	573	137
7	877	137
8	1325	137
9	1596	137
10	1746	137
11	1831	137
12	1845	137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

localize76.0ms (0.9%)

Memory

4.1MiB live, 127.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	97.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	9.9%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

64.0ms	245×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-exp: 37.0ms (74.2% of total)

ival-div: 3.0ms (6% of total)

adjust: 3.0ms (6% of total)

ival-add: 2.0ms (4% of total)

ival-neg: 2.0ms (4% of total)

ival-sub: 2.0ms (4% of total)

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

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

series4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

4 → 28

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>

Outputs
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>

Calls

12 calls:

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

rewrite302.0ms (3.6%)

Memory

-17.5MiB live, 260.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

80×	`add-exp-log`
80×	`add-log-exp`
80×	`add-cube-cbrt`
78×	`log1p-expm1-u`
78×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	174	32
2	3404	32

Stop Event

1×

unsound

Counts

4 → 36

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))

Outputs
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

simplify145.0ms (1.7%)

Memory

29.3MiB live, 68.5MiB allocated

Algorithm

1×	egg-herbie

Rules

667×	`sub-neg`
523×	`distribute-lft-in`
500×	`fmm-def`
488×	`distribute-rgt-in`
308×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	894
1	223	818
2	580	800
3	1651	800
4	2534	800
5	3997	800
6	4757	800
7	6129	800
8	7514	800

Stop Event

1×	node limit

Counts

64 → 58

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

Outputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64))) #s(literal -1/3 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2/15 binary64) (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(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))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(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.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)

eval10.0ms (0.1%)

Memory: -19.8MiB live, 19.0MiB allocated
Compiler: Compiled 1 199 to 258 computations (78.5% saved)

prune17.0ms (0.2%)

Memory

-6.3MiB live, 34.6MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Accuracy

97.8%

Counts

79 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
▶	6.6%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	6.9%	(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	7.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	96.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
▶	97.0%	x
▶	5.5%	#s(literal 3/2 binary64)

Compiler

Compiled 132 to 89 computations (32.6% saved)

simplify181.0ms (2.2%)

Memory

10.4MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(exp.f64 x)
✓	cost-diff	128	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	6144	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	-6144	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))

Rules

826×	`fma-define`
757×	`fmm-def`
196×	`div-sub`
163×	`times-frac`
144×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	282
1	57	246
2	96	246
3	200	246
4	460	246
5	1265	246
6	2205	246
7	2898	246
8	3488	246
9	3897	246
10	4047	246
11	4072	246
12	4076	246
13	4082	246

Stop Event

1×

saturated

Calls

Call 1

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

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

localize113.0ms (1.4%)

Memory

4.6MiB live, 202.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(exp.f64 (neg.f64 x))
	accuracy	100.0%	(exp.f64 x)
✓	accuracy	97.3%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	9.9%	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.7%	(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))

Samples

84.0ms	245×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 81 to 22 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-exp: 14.0ms (24.7% of total)

ival-mult: 8.0ms (14.1% of total)

ival-add: 7.0ms (12.3% of total)

adjust: 6.0ms (10.6% of total)

ival-pow: 6.0ms (10.6% of total)

ival-sub: 4.0ms (7% of total)

...in/eval/compile.rkt:111:19: 4.0ms (7% of total)

ival-div: 3.0ms (5.3% of total)

ival-pow2: 3.0ms (5.3% of total)

...in/eval/compile.rkt:110:19: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series12.0ms (0.1%)

Memory

-14.2MiB live, 24.1MiB allocated

Counts

9 → 66

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>

Outputs
#<alt x>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -5/48 binary64) x) #s(literal 5/12 binary64)))))))>
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))>
#<alt x>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>

Calls

27 calls:

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

rewrite46.0ms (0.5%)

Memory

1.6MiB live, 42.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

160×	`log1p-expm1-u`
160×	`expm1-log1p-u`
156×	`add-exp-log`
155×	`add-log-exp`
155×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	114
1	357	114
2	6516	114

Stop Event

1×

unsound

Counts

9 → 67

Calls

Call 1

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

Outputs
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)

simplify98.0ms (1.2%)

Memory

5.2MiB live, 82.4MiB allocated

Algorithm

1×	egg-herbie

Rules

859×	`times-frac`
520×	`distribute-lft-in`
481×	`distribute-rgt-in`
449×	`div-sub`
352×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	2432
1	294	2298
2	739	1920
3	2129	1788
4	6881	1788

Stop Event

1×	node limit

Counts

133 → 67

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -5/48 binary64) x) #s(literal 5/12 binary64)))))))
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
x
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)

Outputs
x
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
#s(literal 1 binary64)
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -5/48 binary64) x) #s(literal 5/12 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (fma.f64 #s(literal -5/48 binary64) x #s(literal -5/12 binary64)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/48 binary64) #s(literal -5/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)))
(fma.f64 x (+.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)))
(fma.f64 x (+.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 x) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)))
(fma.f64 x (+.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)))
(fma.f64 x (+.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)))
(fma.f64 x (+.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (/.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x)))
(fma.f64 x (+.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x)))
(-.f64 x (neg.f64 (expm1.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -1/3 binary64)
#s(literal -1/27 binary64)
#s(literal 1/9 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)

eval11.0ms (0.1%)

Memory: 27.0MiB live, 27.0MiB allocated
Compiler: Compiled 1 385 to 354 computations (74.4% saved)

prune14.0ms (0.2%)

Memory

2.8MiB live, 41.2MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	95	8	103

Accuracy

97.8%

Counts

103 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
▶	6.6%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
✓	7.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	96.3%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	96.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
▶	18.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))))
✓	97.0%	x
✓	5.5%	#s(literal 3/2 binary64)

Compiler

Compiled 82 to 56 computations (31.7% saved)

simplify156.0ms (1.9%)

Memory

-15.6MiB live, 64.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(exp.f64 x)
	cost-diff	128	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
	cost-diff	0	(exp.f64 (neg.f64 x))
	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	128	(*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64)))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))))

Rules

498×	`fmm-def`
483×	`unsub-neg`
407×	`fma-define`
401×	`div-sub`
290×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	496
1	79	440
2	155	440
3	307	440
4	919	440
5	3222	440
6	5459	440
7	6961	440
8	7623	440

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))
#s(literal -1/3 binary64)
#s(literal 3/2 binary64)
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
x
(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
#s(literal 2 binary64)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(exp.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)

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

localize174.0ms (2.1%)

Memory

-16.6MiB live, 310.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
	accuracy	100.0%	(exp.f64 x)
✓	accuracy	97.3%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
	accuracy	10.5%	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))

Samples

117.0ms	243×	1	valid
2.0ms	2×	5	exit
2.0ms	11×	0	valid

Compiler

Compiled 160 to 30 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 27.0ms (30.1% of total)

ival-exp: 14.0ms (15.6% of total)

ival-add: 14.0ms (15.6% of total)

...in/eval/compile.rkt:111:19: 12.0ms (13.4% of total)

adjust: 8.0ms (8.9% of total)

ival-sub: 7.0ms (7.8% of total)

ival-div: 6.0ms (6.7% of total)

...in/eval/compile.rkt:110:19: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series12.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

10 → 80

Calls

Call 1

Inputs
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))>
#<alt (/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/6 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 5/12 binary64)))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))>
#<alt (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) x)) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) x)) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -3/16 binary64) x) #s(literal 5/12 binary64)))))))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) x)) #s(literal 2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) x))))) x)) #s(literal 2 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))) x)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) x))) (+.f64 (.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))) x)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) x)) #s(literal 2 binary64)) x))>

Calls

24 calls:

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

rewrite116.0ms (1.4%)

Memory

-18.9MiB live, 19.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

244×	`log1p-expm1-u`
244×	`expm1-log1p-u`
238×	`add-exp-log`
238×	`add-cube-cbrt`
237×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	100
1	537	100

Stop Event

1×	node limit

Counts

10 → 220

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))

Outputs
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

simplify145.0ms (1.7%)

Memory

9.9MiB live, 91.1MiB allocated

Algorithm

1×	egg-herbie

Rules

822×	`fma-define`
713×	`fmm-def`
494×	`associate-r`
430×	`associate-l`
380×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	3326
1	651	3171
2	1877	3073
3	6891	3048

Stop Event

1×	node limit

Counts

300 → 112

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 5/12 binary64)))))))
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) x)) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x)))))) x)) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal -1 binary64) x))))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -3/16 binary64) x) #s(literal 5/12 binary64)))))))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))) x)
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) (.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) x)) #s(literal 2 binary64)) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) x)) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) x))))) x)) #s(literal 2 binary64)) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64)))))) x)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) x))) (+.f64 (.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))))) x)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) #s(literal 1 binary64))))) x)) #s(literal 2 binary64)) x))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x x (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/6 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/6 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -5/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 5/12 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal -5/12 binary64)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -5/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
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#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/512 binary64)
#s(literal 1/216 binary64)
#s(literal 1/64 binary64)
#s(literal 1/36 binary64)
#s(literal 1/16 binary64)
#s(literal 1/12 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)

eval21.0ms (0.3%)

Memory: 4.8MiB live, 43.6MiB allocated
Compiler: Compiled 3 667 to 685 computations (81.3% saved)

prune95.0ms (1.1%)

Memory

12.9MiB live, 51.9MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	0	0	0
Picked	3	0	3
Done	1	4	5
Total	174	6	180

Accuracy

100.0%

Counts

180 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
✓	7.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	96.3%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
✓	96.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	97.0%	x
▶	7.7%	#s(literal 1 binary64)

Compiler

Compiled 64 to 43 computations (32.8% saved)

simplify109.0ms (1.3%)

Memory

-19.4MiB live, 61.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
	cost-diff	0	(exp.f64 x)
	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))

Rules

871×	`fma-define`
463×	`distribute-rgt-in`
452×	`sub-neg`
344×	`fmm-def`
319×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	451
1	66	379
2	154	379
3	291	379
4	539	379
5	962	379
6	1519	379
7	2492	379
8	5048	379
9	7902	379

Stop Event

1×	node limit

Calls

Call 1

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

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

localize71.0ms (0.8%)

Memory

9.0MiB live, 126.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
	accuracy	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.6%	(*.f64 #s(literal -1/6 binary64) x)

Samples

39.0ms	254×	0	valid
1.0ms	1×	5	exit
0.0ms	1×	2	valid

Compiler

Compiled 138 to 22 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 9.0ms (32.1% of total)

...in/eval/compile.rkt:111:19: 7.0ms (25% of total)

ival-add: 5.0ms (17.9% of total)

ival-div: 2.0ms (7.1% of total)

ival-exp: 2.0ms (7.1% of total)

ival-sub: 1.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 10

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>

Calls

6 calls:

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

rewrite160.0ms (1.9%)

Memory

-8.7MiB live, 32.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

812×	`log1p-expm1-u`
812×	`expm1-log1p-u`
550×	`prod-diff`
406×	`log-prod`
291×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	167	42
2	2294	42

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 x (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) x) (*.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (.f64 x #s(literal -1 binary64)))
(fma.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) x (.f64 #s(literal -1 binary64) x))

simplify95.0ms (1.1%)

Memory

-10.8MiB live, 67.5MiB allocated

Algorithm

1×	egg-herbie

Rules

384×	`associate-+r+`
369×	`associate-+l+`
358×	`associate-r`
346×	`unsub-neg`
330×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	1773
1	275	1749
2	757	1749
3	3270	1749
4	6711	1749

Stop Event

1×	node limit

Counts

52 → 73

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 x (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) x) (*.f64 #s(literal -1 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (.f64 x #s(literal -1 binary64)))
(fma.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) x (.f64 #s(literal -1 binary64) x))

Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 x #s(literal -1/6 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/6 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(*.f64 x #s(literal -1/6 binary64))
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(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) x (.f64 #s(literal -1 binary64) x))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
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eval15.0ms (0.2%)

Memory: 0.6MiB live, 38.9MiB allocated
Compiler: Compiled 3 349 to 623 computations (81.4% saved)

prune33.0ms (0.4%)

Memory

21.0MiB live, 64.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	106	7	113

Accuracy

100.0%

Counts

113 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
✓	7.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	43.6%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
✓	96.3%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))
✓	96.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	97.0%	x
✓	7.7%	#s(literal 1 binary64)

Compiler

Compiled 273 to 124 computations (54.6% saved)

regimes10.0ms (0.1%)

Memory

-12.1MiB live, 26.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
#s(literal 1 binary64)

Calls

2 calls:

5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`x`
99.7%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) #s(literal 3/2 binary64))))

Outputs
x
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total -1.4b remaining (-2.4%)

Threshold costs -1.4b (-2.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 3/2 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
7.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00010617888300478597	0.9810169495376158

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch13.0ms (0.2%)

Memory

-12.4MiB live, 27.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.00010617888340375673	2.323909551307472

Samples

8.0ms

128×

valid

Compiler

Compiled 129 to 107 computations (17.1% saved)

Precisions

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

ival-exp: 3.0ms (52.9% of total)

ival-sub: 1.0ms (17.6% of total)

ival-div: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

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

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

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

bsearch13.0ms (0.2%)

Memory

-12.0MiB live, 27.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.00010617888340375673	2.323909551307472

Samples

8.0ms

128×

valid

Compiler

Compiled 65 to 51 computations (21.5% saved)

Precisions

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

ival-exp: 3.0ms (54.4% of total)

ival-sub: 1.0ms (18.1% of total)

ival-div: 1.0ms (18.1% of total)

ival-add: 1.0ms (18.1% of total)

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

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

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

simplify4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative`
4×	`*-commutative`
3×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	147
1	48	147
2	53	147
3	56	147
4	57	147

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)

soundness309.0ms (3.7%)

Memory

11.0MiB live, 211.4MiB allocated

Rules

667×	`sub-neg`
523×	`distribute-lft-in`
500×	`fmm-def`
488×	`distribute-rgt-in`
308×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	894
1	223	818
2	580	800
3	1651	800
4	2534	800
5	3997	800
6	4757	800
7	6129	800
8	7514	800
0	24	114
1	357	114
2	6516	114
0	34	100
1	537	100

Stop Event

1×	fuel
1×	node limit
1×	unsound
1×	node limit

Compiler

Compiled 115 to 49 computations (57.4% saved)

preprocess34.0ms (0.4%)

Memory: -18.7MiB live, 99.0MiB allocated
Compiler: Compiled 166 to 94 computations (43.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample5.2s (62.7%)

preprocess200.0ms (2.4%)

explain209.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify74.0ms (0.9%)

localize76.0ms (0.9%)

series4.0ms (0.1%)

rewrite302.0ms (3.6%)

simplify145.0ms (1.7%)

eval10.0ms (0.1%)

prune17.0ms (0.2%)

simplify181.0ms (2.2%)

localize113.0ms (1.4%)

series12.0ms (0.1%)

rewrite46.0ms (0.5%)

simplify98.0ms (1.2%)

eval11.0ms (0.1%)

prune14.0ms (0.2%)

simplify156.0ms (1.9%)

localize174.0ms (2.1%)

series12.0ms (0.1%)

rewrite116.0ms (1.4%)

simplify145.0ms (1.7%)

eval21.0ms (0.3%)

prune95.0ms (1.1%)

simplify109.0ms (1.3%)

localize71.0ms (0.8%)

series2.0ms (0%)

rewrite160.0ms (1.9%)

simplify95.0ms (1.1%)

eval15.0ms (0.2%)

prune33.0ms (0.4%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

bsearch13.0ms (0.2%)

simplify4.0ms (0%)

soundness309.0ms (3.7%)

preprocess34.0ms (0.4%)

end0.0ms (0%)

Profiling