Metrics for expq2 (section 3.11)

analyze155.0ms (3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
0%	0%	75.2%	24.8%	0%	0%	0%	2
25%	18.8%	56.4%	24.8%	0%	0%	0%	3
37.5%	28.2%	47%	24.8%	0%	0%	0%	4
37.5%	28.2%	47%	24.8%	0%	0%	0%	5
40.6%	30.5%	44.6%	24.8%	0%	0%	0%	6
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	7
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	8
43%	32.3%	42.9%	24.8%	0%	0%	0%	9
43%	32.3%	42.9%	24.8%	0%	0%	0%	10
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	11
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

Operation ival-exp, time spent: 20.0ms, 34.0% of total-time

Operation ival-sub, time spent: 16.0ms, 27.0% of total-time

Operation ival->, time spent: 11.0ms, 19.0% of total-time

Operation ival-div, time spent: 7.0ms, 12.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

sample1.9s (36.1%)

Results

380.0ms	3950×	256	valid
996.0ms	2764×	1024	valid
275.0ms	1351×	512	valid
67.0ms	188×	2048	valid
0.0ms	2×	1024	infinite
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 753.0ms

Operation ival-exp, time spent: 411.0ms, 55.0% of total-time

Operation ival-div, time spent: 119.0ms, 16.0% of total-time

Operation ival-sub, time spent: 114.0ms, 15.0% of total-time

Operation ival->, time spent: 85.0ms, 11.0% of total-time

Operation const, time spent: 24.0ms, 3.0% of total-time

Bogosity

preprocess275.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1206×	`fmm-def`
743×	`div-sub`
528×	`fma-define`
226×	`distribute-lft-neg-in`
214×	`associate-+r-`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	35	102
2	56	102
3	94	102
4	153	76
5	292	68
6	469	68
7	836	64
8	2135	64
9	3578	64
10	4595	64
11	5594	64
12	6681	64

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

Operation ival-exp, time spent: 32.0ms, 61.0% of total-time

Operation ival-sub, time spent: 11.0ms, 21.0% of total-time

Operation ival-div, time spent: 6.0ms, 12.0% of total-time

Operation const, time spent: 3.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize60.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

Operation composed, time spent: 18.0ms, 45.0% of total-time

Operation ival-exp, time spent: 12.0ms, 30.0% of total-time

Operation ival-div, time spent: 3.0ms, 7.0% of total-time

Operation ival-sub, time spent: 3.0ms, 7.0% of total-time

Operation ival-neg, time spent: 3.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series4.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))>

Outputs
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))>

Calls

3 calls:

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

rewrite180.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`frac-times`
302×	`log1p-expm1-u`
301×	`expm1-log1p-u`
279×	`add-exp-log`
276×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	91	14
2	1094	8

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Outputs
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 #s(literal 0 binary64) (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (expm1.f64 x) #s(literal -1 binary64))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (expm1.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (expm1.f64 x))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (expm1.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (expm1.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 5 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))

simplify92.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

865×	`prod-exp`
468×	`fmm-def`
352×	`distribute-lft-out`
350×	`cancel-sign-sub-inv`
270×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	4294968763
1	307	4294968701
2	727	4294968677
3	2799	4294968489
4	7856	4294968489

Stop Event

1×	node limit

Counts

83 → 102

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 #s(literal 0 binary64) (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (expm1.f64 x) #s(literal -1 binary64))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (expm1.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (expm1.f64 x))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (expm1.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (expm1.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 5 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -2 binary64))
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))

Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(+.f64 #s(literal 0 binary64) (expm1.f64 x))
(expm1.f64 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 #s(literal 0 binary64) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(expm1.f64 x)
(-.f64 #s(literal 0 binary64) (expm1.f64 x))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 x)
(*.f64 #s(literal -1 binary64) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (expm1.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(expm1.f64 x)
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(expm1.f64 x)
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(neg.f64 (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(neg.f64 (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
#s(literal -1 binary64)
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
#s(literal -1 binary64)
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (expm1.f64 x))
(*.f64 (expm1.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 x))
(expm1.f64 x)
(.f64 (pow.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (expm1.f64 x))
(expm1.f64 x)
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
#s(literal -1 binary64)
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (cbrt.f64 (expm1.f64 x)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (expm1.f64 x))
(expm1.f64 x)
(.f64 (cbrt.f64 (pow.f64 (.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 5/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3/2 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 5 binary64))) (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 5 binary64))))
(pow.f64 (expm1.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(expm1.f64 x)
(fabs.f64 (expm1.f64 x))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(expm1.f64 x)
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) #s(literal 3 binary64)))
(expm1.f64 x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (expm1.f64 x))) #s(literal 1/3 binary64)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(expm1.f64 x)
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(expm1.f64 x)

eval28.0ms (0.6%)

Compiler: Compiled 789 to 392 computations (50.3% saved)

prune14.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Accuracy

100.0%

Counts

103 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
▶	72.8%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
▶	72.6%	(/.f64 #s(literal 1 binary64) x)
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	3.0%	#s(literal -1 binary64)

Compiler

Compiled 32 to 25 computations (21.9% saved)

localize106.0ms (2.1%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))
✓	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	89.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)

Compiler

Compiled 65 to 48 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

Operation ival-mult, time spent: 19.0ms, 47.0% of total-time

Operation ival-add, time spent: 12.0ms, 30.0% of total-time

Operation ival-div, time spent: 6.0ms, 15.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

series9.0ms (0.2%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))>

Outputs
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 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 1/12 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 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 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 1/12 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 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 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 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 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 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)
1.0ms	x	@	0	(/ (+ 1 (* x 1/2)) x)
1.0ms	x	@	-inf	(/ (+ 1 (* x (+ 1/2 (* x 1/12)))) x)
1.0ms	x	@	inf	(/ (+ 1 (* x 1/2)) x)
0.0ms	x	@	-inf	(/ (+ 1 (* x 1/2)) x)

rewrite142.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`log1p-expm1-u`
855×	`expm1-log1p-u`
652×	`fma-define`
251×	`fmm-def`
202×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	131
1	241	107
2	3637	107

Stop Event

1×	node limit

Counts

5 → 216

Calls

Call 1

Inputs
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(*.f64 x #s(literal 1/12 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64)))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 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 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
(.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))
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(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))

simplify126.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

633×	`times-frac`
514×	`distribute-lft-in`
490×	`distribute-rgt-in`
270×	`cancel-sign-sub-inv`
236×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	7631
1	977	7489
2	2825	7150

Stop Event

1×	node limit

Counts

276 → 279

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(*.f64 #s(literal 1/12 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
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(fma.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/12 binary64)))
(*.f64 x (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/12 binary64)))
(*.f64 x (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (cbrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
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(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))

eval101.0ms (2%)

Compiler: Compiled 4371 to 3278 computations (25% saved)

prune40.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	276	3	279
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	277	7	284

Accuracy

100.0%

Counts

284 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	72.6%	(/.f64 #s(literal 1 binary64) x)
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	72.8%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	37.7%	(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
▶	3.3%	#s(literal 1/2 binary64)
✓	3.0%	#s(literal -1 binary64)

Compiler

Compiled 44 to 35 computations (20.5% saved)

localize94.0ms (1.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
✓	99.8%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
✓	64.5%	(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))

New

Accuracy

Program

✓

100.0%

(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))

✓

99.8%

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

✓

64.5%

(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))

Compiler

Compiled 53 to 40 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

Operation ival-div, time spent: 20.0ms, 49.0% of total-time

Operation ival-add, time spent: 9.0ms, 22.0% of total-time

Operation ival-mult, time spent: 8.0ms, 20.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

series3.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))>
#<alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)>
#<alt (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))>

Inputs

#<alt (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))>

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

#<alt (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))>

Outputs
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1/12 binary64)>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1/12 binary64)>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ 1/12 (/ (+ (/ 1 x) 1/2) x)))
0.0ms	x	@	0	(* x (+ 1/12 (/ (+ (/ 1 x) 1/2) x)))
0.0ms	x	@	-inf	(/ (+ (/ 1 x) 1/2) x)
0.0ms	x	@	inf	(* x (+ 1/12 (/ (+ (/ 1 x) 1/2) x)))
0.0ms	x	@	0	(/ (+ (/ 1 x) 1/2) x)

rewrite178.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`log1p-expm1-u`
937×	`expm1-log1p-u`
431×	`log-prod`
328×	`prod-diff`
241×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	175	96
2	2556	96

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs

(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))

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

(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(+.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 x #s(literal 1/12 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(pow.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))))
(log.f64 (.f64 (exp.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)) (exp.f64 (*.f64 x #s(literal 1/12 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/12 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/12 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/12 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/12 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x #s(literal 1/12 binary64))) (cbrt.f64 (.f64 x #s(literal 1/12 binary64)))) (cbrt.f64 (.f64 x #s(literal 1/12 binary64))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)) (cbrt.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))) (cbrt.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)) (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x)) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x)) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 (.f64 #s(literal 1/12 binary64) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (.f64 x #s(literal 1/12 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x))
(.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (cbrt.f64 x)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (sqrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))))
(*.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/144 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)))
(pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/12 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1/12 binary64))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) #s(literal 1/12 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/12 binary64))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/12 binary64))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (cbrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/12 binary64))

simplify166.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

695×	`times-frac`
369×	`associate-*r/`
345×	`associate-/l*`
300×	`*-commutative`
291×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	7903
1	758	7233
2	2414	6205

Stop Event

1×	node limit

Counts

181 → 203

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(*.f64 #s(literal 1/12 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/12 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1/12 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(+.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) (.f64 x #s(literal 1/12 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))) #s(literal 1 binary64))
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(*.f64 (sqrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) (sqrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))))
(*.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1/144 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)))
(pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/12 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1/12 binary64))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) #s(literal 1/12 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/12 binary64))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/12 binary64))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (cbrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/12 binary64))

Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/12 binary64))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) (pow.f64 x #s(literal 2 binary64)))
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#s(literal 1/12 binary64)
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(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(exp.f64 (log.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (sqrt.f64 x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (cbrt.f64 x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 x)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))

eval75.0ms (1.5%)

Compiler: Compiled 3681 to 2797 computations (24% saved)

prune27.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	203	7	210

Accuracy

100.0%

Counts

210 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.9%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	72.6%	(/.f64 #s(literal 1 binary64) x)
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	72.8%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	37.7%	(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
✓	3.3%	#s(literal 1/2 binary64)
✓	3.0%	#s(literal -1 binary64)

Compiler

Compiled 96 to 73 computations (24% saved)

regimes7.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

3.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)

Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
72.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 x (+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	32	86
2	34	86
3	35	86

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)
#s(literal -1 binary64)

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1/2 binary64)
#s(literal -1 binary64)

Compiler

Compiled 32 to 26 computations (18.8% saved)

soundness1.2s (22.7%)

Rules

1206×	`fmm-def`
865×	`prod-exp`
743×	`div-sub`
633×	`times-frac`
528×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	7631
1	977	7489
2	2825	7150
0	191	4294968763
1	307	4294968701
2	727	4294968677
3	2799	4294968489
4	7856	4294968489
0	10	18
1	91	14
2	1094	8
0	15	104
1	35	102
2	56	102
3	94	102
4	153	76
5	292	68
6	469	68
7	836	64
8	2135	64
9	3578	64
10	4595	64
11	5594	64
12	6681	64

Stop Event

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

Compiler

Compiled 431 to 253 computations (41.3% saved)

end0.0ms (0%)

preprocess213.0ms (4.2%)

Compiler: Compiled 84 to 64 computations (23.8% saved)

analyze155.0ms (3%)

sample1.9s (36.1%)

preprocess275.0ms (5.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize60.0ms (1.2%)

series4.0ms (0.1%)

rewrite180.0ms (3.5%)

simplify92.0ms (1.8%)

eval28.0ms (0.6%)

prune14.0ms (0.3%)

localize106.0ms (2.1%)

series9.0ms (0.2%)

rewrite142.0ms (2.8%)

simplify126.0ms (2.4%)

eval101.0ms (2%)

prune40.0ms (0.8%)

localize94.0ms (1.8%)

series3.0ms (0.1%)

rewrite178.0ms (3.5%)

simplify166.0ms (3.2%)

eval75.0ms (1.5%)

prune27.0ms (0.5%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify5.0ms (0.1%)

soundness1.2s (22.7%)

end0.0ms (0%)

preprocess213.0ms (4.2%)

Profiling