Metrics for expq2 (section 3.11)

analyze148.0ms (2.9%)

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
25%	18.8%	56.4%	24.8%	0%	0%	0%	4
31.3%	23.5%	51.7%	24.8%	0%	0%	0%	5
37.5%	28.2%	47%	24.8%	0%	0%	0%	6
39.1%	29.4%	45.8%	24.8%	0%	0%	0%	7
40.6%	30.5%	44.6%	24.8%	0%	0%	0%	8
41.4%	31.1%	44.1%	24.8%	0%	0%	0%	9
41.6%	31.3%	43.9%	24.8%	0%	0%	0%	10
41.8%	31.4%	43.8%	24.8%	0%	0%	0%	11
41.8%	31.4%	43.8%	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: 52.0ms

Operation ival-exp, time spent: 18.0ms, 35.0% of total-time

Operation ival-sub, time spent: 13.0ms, 25.0% of total-time

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

Operation ival-div, time spent: 7.0ms, 13.0% of total-time

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

sample1.8s (36.1%)

Results

1.1s	5201×	1	valid
595.0ms	3053×	0	valid
0.0ms	1×	1	valid
0.0ms	1×	1	infinite

Precisions

Click to see histograms. Total time spent on operations: 764.0ms

Operation ival-exp, time spent: 382.0ms, 50.0% of total-time

Operation ival-sub, time spent: 112.0ms, 15.0% of total-time

Operation backward-pass, time spent: 92.0ms, 12.0% of total-time

Operation ival-div, time spent: 84.0ms, 11.0% of total-time

Operation ival->, time spent: 73.0ms, 10.0% of total-time

Operation const, time spent: 20.0ms, 3.0% of total-time

Bogosity

preprocess272.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1206×	`fma-neg`
747×	`div-sub`
528×	`fma-define`
226×	`distribute-lft-neg-in`
218×	`associate-+r-`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
174	-	1	(-0.015219200313183296)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	0	-	`x`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	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	837	64
8	2147	64
9	3590	64
10	4606	64
11	5606	64
12	6702	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: 48.0ms

Operation ival-exp, time spent: 26.0ms, 55.0% of total-time

Operation ival-sub, time spent: 12.0ms, 25.0% of total-time

Operation ival-div, time spent: 7.0ms, 15.0% of total-time

Operation const, time spent: 2.0ms, 4.0% 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
▶	35.8%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize104.0ms (2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	37.5%	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Compiler

Compiled 29 to 14 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

Operation ival-exp, time spent: 23.0ms, 36.0% of total-time

Operation composed, time spent: 16.0ms, 25.0% of total-time

Operation ival-sub, time spent: 12.0ms, 19.0% of total-time

Operation ival-div, time spent: 6.0ms, 9.0% of total-time

Operation ival-neg, time spent: 5.0ms, 8.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

series10.0ms (0.2%)

Counts

3 → 20

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 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 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)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))>
#<alt (/.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)>

Calls

9 calls:

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

rewrite226.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`log1p-expm1-u`
624×	`expm1-log1p-u`
593×	`unpow-prod-down`
320×	`log-prod`
157×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	171	43
2	2304	43

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

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

simplify124.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

327×	`exp-prod`
299×	`unswap-sqr`
277×	`distribute-lft-in`
250×	`distribute-lft-neg-in`
239×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	581	6731
1	1131	6291
2	3428	6212

Stop Event

1×	node limit

Counts

236 → 295

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)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
(/.f64 #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 0 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 (expm1.f64 x)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (expm1.f64 x) #s(literal -1 binary64))) (cbrt.f64 (.f64 (expm1.f64 x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (exp.f64 x) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (expm1.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) (cbrt.f64 (exp.f64 (expm1.f64 x))))) (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 1 binary64) (expm1.f64 x))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/3 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)) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (expm1.f64 x))
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(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 x (log.f64 (expm1.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 x (log.f64 (expm1.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x (log.f64 (expm1.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 (expm1.f64 x)) 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)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.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 0 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (cbrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (cbrt.f64 (neg.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) (cbrt.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))))))
(.f64 (pow.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) (cbrt.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(.f64 (pow.f64 (.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 (expm1.f64 x)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 (expm1.f64 x))))))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (expm1.f64 x) #s(literal -1 binary64))) (cbrt.f64 (.f64 (expm1.f64 x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))))
(.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 (expm1.f64 x))))))
(/.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 (expm1.f64 x)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -3 binary64)))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
(pow.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (expm1.f64 x))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) #s(literal 2 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) #s(literal 2 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 (expm1.f64 x) (exp.f64 x))) (cbrt.f64 (.f64 (expm1.f64 x) (exp.f64 x)))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (cbrt.f64 (.f64 (expm1.f64 x) (exp.f64 x))) (cbrt.f64 (.f64 (expm1.f64 x) (exp.f64 x))))))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (.f64 (cbrt.f64 (.f64 (expm1.f64 x) (exp.f64 x))) (cbrt.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x)))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (exp.f64 x))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x)))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 x))) (sqrt.f64 (exp.f64 x))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (expm1.f64 x))) (sqrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) #s(literal -2 binary64))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 3 binary64))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) #s(literal 2 binary64))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(pow.f64 (/.f64 (*.f64 (expm1.f64 x) (exp.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (expm1.f64 x) #s(literal 3 binary64))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 x (log.f64 (expm1.f64 x)))) #s(literal 3 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 x (log.f64 (expm1.f64 x)))) #s(literal 1/3 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x (log.f64 (expm1.f64 x)))) #s(literal 2 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (+.f64 (log.f64 (expm1.f64 x)) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))

eval70.0ms (1.4%)

Compiler: Compiled 3934 to 1880 computations (52.2% saved)

prune41.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	291	4	295
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	291	6	297

Accuracy

100.0%

Counts

297 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
▶	68.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	35.8%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
▶	98.3%	(/.f64 (exp.f64 x) x)
▶	68.7%	(/.f64 #s(literal 1 binary64) x)
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Compiler

Compiled 43 to 31 computations (27.9% saved)

localize114.0ms (2.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	99.6%	(*.f64 x #s(literal 1/12 binary64))
✓	87.6%	(/.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)
✓	100.0%	(/.f64 (exp.f64 x) x)

Compiler

Compiled 71 to 49 computations (31% saved)

Precisions

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

Operation ival-mult, time spent: 19.0ms, 42.0% of total-time

Operation ival-add, time spent: 11.0ms, 24.0% of total-time

Operation ival-div, time spent: 10.0ms, 22.0% of total-time

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

Operation ival-exp, time spent: 2.0ms, 4.0% of total-time

series14.0ms (0.3%)

Counts

5 → 52

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite156.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

993×	`log1p-expm1-u`
993×	`expm1-log1p-u`
676×	`fma-define`
268×	`fma-neg`
125×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	117
1	282	101
2	4205	101

Stop Event

1×	node limit

Counts

5 → 189

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) x)
(/.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))))

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

simplify109.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-define`
464×	`times-frac`
392×	`distribute-lft-in`
379×	`distribute-rgt-in`
289×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	6367
1	969	6242
2	2583	5625

Stop Event

1×	node limit

Counts

241 → 250

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.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 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) 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 #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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) x))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) (sqrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (exp.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (exp.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) x)))
(exp.f64 (-.f64 x (log.f64 x)))
(exp.f64 (*.f64 (-.f64 x (log.f64 x)) #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 #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 (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)) (cbrt.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))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64))) (.f64 (cbrt.f64 (.f64 x #s(literal 1/12 binary64))) x) (.f64 x #s(literal 1/2 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)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 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)) (.f64 (.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))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 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))) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 x #s(literal 1/12 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.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))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1/12 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.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))) #s(literal -1 binary64))
(fma.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))))) #s(literal -1 binary64))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 1/12 binary64)))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 1/12 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)))) (cbrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x #s(literal 1/12 binary64)))) (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (*.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) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (*.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) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.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 #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 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 (/.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 (/.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 (/.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 #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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) (sqrt.f64 (/.f64 (exp.f64 x) x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (exp.f64 x) (sqrt.f64 x)))
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(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.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))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 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 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.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 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) x (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.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) #s(literal -1 binary64))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 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 2 binary64)) #s(literal -1 binary64))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.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)) (cbrt.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))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64))) (.f64 (cbrt.f64 (.f64 x #s(literal 1/12 binary64))) x) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64))) (.f64 x (cbrt.f64 (.f64 x #s(literal 1/12 binary64)))) (.f64 x #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64))) (cbrt.f64 (.f64 x #s(literal 1/12 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)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 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)) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 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))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 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))) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 x #s(literal 1/12 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.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))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) x) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x #s(literal 1/12 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.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))) #s(literal -1 binary64))
(+.f64 #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))) (fma.f64 x (.f64 (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))))
(fma.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))))) #s(literal -1 binary64))
(+.f64 #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))) (fma.f64 x (neg.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (sqrt.f64 x)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 1/12 binary64)))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 1/12 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)))) (cbrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64))) (.f64 x (cbrt.f64 (.f64 x #s(literal 1/12 binary64)))) (.f64 x #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64))) (cbrt.f64 (.f64 x #s(literal 1/12 binary64))))))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x #s(literal 1/12 binary64)))) (sqrt.f64 (.f64 x #s(literal 1/12 binary64))) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))

eval89.0ms (1.7%)

Compiler: Compiled 3549 to 2513 computations (29.2% saved)

prune49.0ms (1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	247	3	250
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	247	9	256

Accuracy

100.0%

Counts

256 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	68.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	35.8%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	98.3%	(/.f64 (exp.f64 x) x)
✓	68.7%	(/.f64 #s(literal 1 binary64) x)
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	68.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	36.5%	(.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))))
▶	3.1%	#s(literal 1/2 binary64)

Compiler

Compiled 67 to 51 computations (23.9% saved)

localize133.0ms (2.6%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	100.0%	(-.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))
✓	99.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
✓	67.4%	(.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)))

Compiler

Compiled 82 to 64 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

Operation ival-div, time spent: 28.0ms, 46.0% of total-time

Operation ival-mult, time spent: 12.0ms, 20.0% of total-time

Operation ival-add, time spent: 11.0ms, 18.0% of total-time

Operation ival-sub, time spent: 6.0ms, 10.0% of total-time

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

series7.0ms (0.1%)

Counts

5 → 42

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite131.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`log1p-expm1-u`
1002×	`expm1-log1p-u`
258×	`fma-define`
186×	`fma-neg`
149×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	132
1	224	128
2	3086	128

Stop Event

1×	node limit

Counts

5 → 230

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (.f64 x #s(literal -1/12 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) (.f64 #s(literal -1/12 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/1728 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/144 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/1728 binary64)) x) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/144 binary64)) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
(pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x #s(literal -1/12 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x (*.f64 #s(literal -1/12 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))
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(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))

simplify135.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

822×	`fma-define`
576×	`distribute-rgt-in`
563×	`distribute-lft-in`
291×	`times-frac`
252×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	9848
1	814	9148
2	2667	8432

Stop Event

1×	node limit

Counts

272 → 288

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
(*.f64 #s(literal -1/12 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/12 binary64) x)
(.f64 #s(literal -1 binary64) (.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 #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 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 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 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/12 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/12 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/12 binary64) (.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 #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)
#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 (+.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 (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (.f64 x #s(literal -1/12 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) (.f64 #s(literal -1/12 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/1728 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/144 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) #s(literal -1/1728 binary64)) x) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)) #s(literal -1/144 binary64)) x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
(pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1/12 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x #s(literal -1/12 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x (*.f64 #s(literal -1/12 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
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(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal -1/12 binary64))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) #s(literal -1/12 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1/12 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/12 binary64))
(fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal -1/12 binary64))
(fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/12 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) #s(literal -1/12 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x) #s(literal -1/12 binary64))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (cbrt.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1/12 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1/12 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/12 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/12 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/12 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/12 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/12 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))

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

eval140.0ms (2.7%)

Compiler: Compiled 5724 to 4550 computations (20.5% saved)

prune49.0ms (1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	287	1	288
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	288	9	297

Accuracy

100.0%

Counts

297 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	68.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	35.8%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	98.3%	(/.f64 (exp.f64 x) x)
✓	68.7%	(/.f64 #s(literal 1 binary64) x)
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	68.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	68.8%	(.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	3.1%	#s(literal 1/2 binary64)

Compiler

Compiled 63 to 48 computations (23.8% saved)

localize67.0ms (1.3%)

Localize:

Found 3 expressions with local error:

New

Accuracy

Program

✓

100.0%

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

✓

100.0%

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

✓

99.6%

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-mult, time spent: 11.0ms, 40.0% of total-time

Operation ival-div, time spent: 9.0ms, 33.0% of total-time

Operation ival-add, time spent: 6.0ms, 22.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

series3.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

Inputs

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

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

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

Calls

9 calls:

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

rewrite109.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`log1p-expm1-u`
795×	`expm1-log1p-u`
649×	`unpow-prod-down`
361×	`fma-define`
338×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	142	53
2	2096	53

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

Inputs

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

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/12 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/12 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/12 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal -1/12 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal -1/12 binary64)))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal -1/12 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal -1/12 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal -1/12 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))
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(.f64 (pow.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))

simplify124.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

524×	`distribute-rgt-in`
521×	`distribute-lft-in`
228×	`fma-neg`
205×	`unswap-sqr`
181×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	7412
1	894	7328
2	2449	6568

Stop Event

1×	node limit

Counts

205 → 226

Calls

Call 1

Inputs
(*.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 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
(*.f64 #s(literal -1/12 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.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 (.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 binary64) (.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 #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 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 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
#s(literal -1/2 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/12 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/12 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/12 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/12 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal -1/12 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal -1/12 binary64)))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal -1/12 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/1728 binary64) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal -1/12 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)))) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/144 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
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(*.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (pow.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))

Outputs
(*.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 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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 (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/12 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (neg.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 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 (fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 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 (fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/12 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (neg.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))
(.f64 #s(literal -1 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 (fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(.f64 #s(literal -1 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 (fma.f64 x (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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 0 binary64) (*.f64 x #s(literal -1/12 binary64)))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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))
(fma.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) x)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #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))

eval114.0ms (2.2%)

Compiler: Compiled 4512 to 3756 computations (16.8% saved)

prune43.0ms (0.8%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	226	9	235

Accuracy

100.0%

Counts

235 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.8%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/12 binary64))))) x)
✓	68.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
✓	35.8%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	98.3%	(/.f64 (exp.f64 x) x)
✓	68.7%	(/.f64 #s(literal 1 binary64) x)
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	68.5%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	68.8%	(.f64 #s(literal -1 binary64) (+.f64 (.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	3.1%	#s(literal 1/2 binary64)

Compiler

Compiled 133 to 99 computations (25.6% saved)

regimes10.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

7.0ms	x
1.0ms	(/.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)

regimes6.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 x) x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
68.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#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)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`sub-neg`
8×	`*-commutative`
8×	`neg-sub0`
7×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	81
1	34	81
2	41	81
3	58	81
4	74	81
5	84	81
6	88	81
7	89	81

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

soundness603.0ms (11.8%)

Rules

1206×	`fma-neg`
822×	`fma-define`
747×	`div-sub`
576×	`distribute-rgt-in`
563×	`distribute-lft-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	581	6731
1	1131	6291
2	3428	6212
0	15	104
1	35	102
2	56	102
3	94	102
4	153	76
5	292	68
6	469	68
7	837	64
8	2147	64
9	3590	64
10	4606	64
11	5606	64
12	6702	64
0	389	9848
1	814	9148
2	2667	8432

Stop Event

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

Compiler

Compiled 601 to 405 computations (32.6% saved)

end0.0ms (0%)

preprocess48.0ms (0.9%)

Compiler: Compiled 78 to 58 computations (25.6% saved)

analyze148.0ms (2.9%)

sample1.8s (36.1%)

preprocess272.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize104.0ms (2%)

series10.0ms (0.2%)

rewrite226.0ms (4.4%)

simplify124.0ms (2.4%)

eval70.0ms (1.4%)

prune41.0ms (0.8%)

localize114.0ms (2.2%)

series14.0ms (0.3%)

rewrite156.0ms (3%)

simplify109.0ms (2.1%)

eval89.0ms (1.7%)

prune49.0ms (1%)

localize133.0ms (2.6%)

series7.0ms (0.1%)

rewrite131.0ms (2.6%)

simplify135.0ms (2.6%)

eval140.0ms (2.7%)

prune49.0ms (1%)

localize67.0ms (1.3%)

series3.0ms (0.1%)

rewrite109.0ms (2.1%)

simplify124.0ms (2.4%)

eval114.0ms (2.2%)

prune43.0ms (0.8%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

simplify9.0ms (0.2%)

soundness603.0ms (11.8%)

end0.0ms (0%)

preprocess48.0ms (0.9%)

Profiling