Metrics for Hyperbolic sine

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

sample2.8s (33.3%)

Results

594.0ms	4316×	0	valid
1.8s	3940×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-exp: 726.0ms (40.2% of total)

ival-sub: 488.0ms (27% of total)

ival-neg: 292.0ms (16.2% of total)

ival-div: 152.0ms (8.4% of total)

backward-pass: 136.0ms (7.5% of total)

const: 14.0ms (0.8% of total)

Bogosity

preprocess69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

96×	`fma-define`
95×	`fma-neg`
27×	`sub-neg`
23×	`distribute-neg-frac`
20×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	45	124
2	98	124
3	199	124
4	413	116
5	621	116
6	695	116
7	696	116

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain130.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`x`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`(exp.f64 x)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`

Results

73.0ms	262×	1	valid
21.0ms	250×	0	valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-exp: 36.0ms (57.8% of total)

backward-pass: 10.0ms (16.1% of total)

ival-div: 7.0ms (11.2% of total)

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

ival-neg: 4.0ms (6.4% of total)

const: 1.0ms (1.6% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize198.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	51.1%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Rules

119×	`fma-neg`
62×	`fma-define`
26×	`div-sub`
22×	`sub-neg`
18×	`*-commutative`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	89
1	23	89
2	43	89
3	72	89
4	119	89
5	187	89
6	276	89
7	421	87
8	541	87
9	587	87
10	592	87

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

55.0ms	131×	1	valid
102.0ms	125×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-exp: 39.0ms (78.8% of total)

ival-div: 3.0ms (6.1% of total)

backward-pass: 3.0ms (6.1% of total)

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

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

const: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts

4 → 32

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite175.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

51×	`add-exp-log`
51×	`add-log-exp`
51×	`log1p-expm1-u`
51×	`expm1-log1p-u`
49×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	118	44
2	1876	44

Stop Event

1×

unsound

Counts

4 → 30

Calls

Call 1

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

Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

simplify187.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-define`
627×	`distribute-lft-neg-out`
605×	`unsub-neg`
430×	`distribute-rgt-neg-out`
382×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	612
1	169	552
2	425	552
3	1167	552
4	2336	552
5	2724	552
6	3172	552
7	4456	552
8	5061	552
9	5767	552

Stop Event

1×	node limit

Counts

62 → 53

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

Outputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

eval6.0ms (0.1%)

Compiler: Compiled 592 to 210 computations (64.5% saved)

prune18.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	8	54

Accuracy

100.0%

Counts

54 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.4%	(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
	51.1%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	51.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
	85.4%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
▶	54.5%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶	4.3%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
▶	4.3%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
▶	3.4%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Compiler

Compiled 109 to 85 computations (22% saved)

localize507.0ms (6.1%)

Algorithm

5×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	256	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	256	(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	99.9%	(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))

Rules

3306×	`associate-*r/`
3085×	`associate-*l/`
2192×	`associate-/l*`
1428×	`associate-/l/`
704×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	19	87
2	25	87
3	42	87
4	55	87
5	59	87
6	60	87
7	68	87
8	92	85
9	133	75
10	164	75
11	380	75
12	1139	75
13	2902	75
14	3253	75
15	3448	75
16	4117	75
17	4117	75
18	4117	75
19	5492	75
20	5501	75
21	5575	75
22	5633	75
23	5633	75
24	5633	75
25	5633	75
26	5633	75
0	5	3
0	6	3
0	6	3
0	8	43
1	11	31
2	15	19
3	22	19
4	45	19
5	100	19
6	250	19
7	746	19
8	2378	19
9	2439	19
10	2439	19
11	2439	19
12	3086	19
13	3385	19
14	3385	19
15	3385	19

Stop Event

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

Calls

Call 1

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

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

Call 2

Inputs
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
#s(literal 8 binary64)
#s(literal 2 binary64)

Outputs
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 2 binary64)

Call 3

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

Outputs
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Call 4

Inputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)

Outputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)

Call 5

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

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

Results

99.0ms

256×

valid

Compiler

Compiled 55 to 16 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 64.0ms (85.5% of total)

ival-pow: 5.0ms (6.7% of total)

ival-fma: 3.0ms (4% of total)

ival-mult: 2.0ms (2.7% of total)

const: 1.0ms (1.3% of total)

backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts

8 → 36

Calls

Call 1

Inputs
#<alt (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 8 binary64) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))>

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* 1/3 (pow x 3)) (* 2 x))
1.0ms	x	@	inf	(/ (+ (* 1/3 (pow x 3)) (* 2 x)) 2)
1.0ms	x	@	inf	(+ (* 1/3 (pow x 3)) (* 2 x))
0.0ms	x	@	-inf	(* 2 x)
0.0ms	x	@	-inf	(pow x 3)

rewrite111.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`unpow-prod-down`
541×	`log1p-expm1-u`
541×	`expm1-log1p-u`
474×	`pow1`
318×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	99
1	157	87
2	1810	87

Stop Event

1×	node limit

Counts

8 → 234

Calls

Call 1

Inputs
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))

Outputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))))
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(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)) x)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(+.f64 #s(literal 0 binary64) x)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) x)
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))

simplify207.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

556×	`exp-prod`
505×	`associate-l`
489×	`associate-r`
380×	`cancel-sign-sub-inv`
354×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	8589940903
1	1026	8589940279
2	4169	8589939925

Stop Event

1×	node limit

Counts

270 → 336

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))))
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(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)) x)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(+.f64 #s(literal 0 binary64) x)
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) x)
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))

Outputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(+.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))
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(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 8 binary64)))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) #s(literal 8 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))
(pow.f64 x #s(literal 3 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)) x)
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 x #s(literal 9 binary64)))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 15/2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 #s(literal 3/2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x))
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
x
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
x
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
x
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
x
(.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
x
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
x
(*.f64 #s(literal 1 binary64) x)
x
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (.f64 #s(literal 2 binary64) x))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x)) (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
x
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(.f64 (.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
x
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
x
(.f64 (.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
x
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
x
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
x
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x #s(literal 1/2 binary64)))
x
(.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
x
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
x
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
x
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
x
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
x
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
x

eval48.0ms (0.6%)

Compiler: Compiled 5116 to 1137 computations (77.8% saved)

prune50.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	356	3	359
Fresh	1	1	2
Picked	5	0	5
Done	0	1	1
Total	362	5	367

Accuracy

100.0%

Counts

367 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	51.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶	85.4%	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
▶	36.5%	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
▶	54.5%	x

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize445.0ms (5.4%)

Algorithm

4×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
	cost-diff	0	(exp.f64 x)
✓	cost-diff	128	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
	accuracy	100.0%	(exp.f64 x)
✓	accuracy	51.1%	(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))

Rules

357×	`fma-neg`
148×	`fma-define`
94×	`distribute-rgt-in`
68×	`div-sub`
65×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
0	9	32
1	13	32
2	21	32
3	30	32
0	10	57
1	15	53
2	26	53
3	44	53
4	56	53
5	62	53
6	76	53
7	96	53
8	100	53
0	12	76
1	26	64
2	46	64
3	99	64
4	227	64
5	448	64
6	739	64
7	1079	64
8	1350	64
9	1464	64
10	1499	64

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)

Outputs
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)

Call 4

Inputs
x

Outputs
x

Results

42.0ms	131×	1	valid
295.0ms	125×	0	valid

Compiler

Compiled 54 to 13 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-pow: 8.0ms (24.8% of total)

ival-exp: 6.0ms (18.6% of total)

backward-pass: 5.0ms (15.5% of total)

ival-sub: 4.0ms (12.4% of total)

ival-div: 3.0ms (9.3% of total)

ival-mult: 3.0ms (9.3% of total)

ival-add: 2.0ms (6.2% of total)

const: 1.0ms (3.1% of total)

series10.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (- (exp x) (- 1 x)) 2)
1.0ms	x	@	inf	(/ (- (exp x) (- 1 x)) 2)
0.0ms	x	@	inf	(* (pow x 3) 1/6)
0.0ms	x	@	-inf	(* (pow x 3) 1/6)
0.0ms	x	@	-inf	(/ (- (exp x) (- 1 x)) 2)

rewrite186.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`log1p-expm1-u`
1170×	`expm1-log1p-u`
521×	`fma-define`
266×	`fma-neg`
95×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	103
1	220	87
2	3118	87

Stop Event

1×	node limit

Counts

5 → 228

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (+.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64) x)
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(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))
(.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) (.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) (/.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (+.f64 x (expm1.f64 x))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (expm1.f64 x)))
(pow.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 x (expm1.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x (expm1.f64 x)) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 x (expm1.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))

simplify147.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

773×	`times-frac`
376×	`fma-neg`
362×	`cancel-sign-sub-inv`
347×	`distribute-lft-neg-out`
274×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	511	8126
1	1163	7306
2	3702	7064

Stop Event

1×	node limit

Counts

288 → 298

Calls

Call 1

Inputs
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) x)))))))
x
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/48 binary64) x)))))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))))
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(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (exp.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) x)
(fma.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) x)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))
(.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) (.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) (/.f64 (sqrt.f64 (+.f64 x (expm1.f64 x))) #s(literal 2 binary64)))
(*.f64 (neg.f64 (+.f64 x (expm1.f64 x))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (expm1.f64 x)))
(pow.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 x (expm1.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x (expm1.f64 x)) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 x (expm1.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x (expm1.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)))))

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

eval58.0ms (0.7%)

Compiler: Compiled 6443 to 1278 computations (80.2% saved)

prune77.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	489	4	493
Fresh	0	0	0
Picked	2	2	4
Done	1	0	1
Total	492	6	498

Accuracy

100.0%

Counts

498 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	85.4%	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
▶	89.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
▶	85.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
▶	77.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	54.5%	x

Compiler

Compiled 53 to 40 computations (24.5% saved)

localize315.0ms (3.8%)

Algorithm

4×	egg-herbie

Localize:

Found 28 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(exp.f64 x)
✓	cost-diff	128	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	-12544	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
✓	cost-diff	-6272	(+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/48 binary64))
✓	cost-diff	-12544	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
✓	cost-diff	-6272	(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/12 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
	accuracy	100.0%	(exp.f64 x)
✓	accuracy	51.1%	(-.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/48 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))

Rules

675×	`fma-define`
130×	`fma-define`
118×	`distribute-lft-in`
95×	`distribute-rgt-in`
85×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	25	49
2	38	49
3	57	49
4	61	49
0	13	129
1	36	105
2	84	105
3	176	105
4	291	105
5	330	105
0	16	231
1	47	183
2	130	183
3	330	183
4	776	183
5	1250	183
6	1412	183
7	1416	183
0	11	36
1	24	36
2	28	36
3	29	36

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
(+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64)))))
#s(literal 1/4 binary64)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
(+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))
#s(literal 1/12 binary64)
(*.f64 x #s(literal 1/48 binary64))
#s(literal 1/48 binary64)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))
(fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 x #s(literal 1/48 binary64))
#s(literal 1/48 binary64)

Call 3

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
#s(literal 1/4 binary64)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

Call 4

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

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

Results

76.0ms	131×	1	valid
28.0ms	125×	0	valid

Compiler

Compiled 142 to 25 computations (82.4% saved)

Precisions

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

ival-mult: 27.0ms (42.7% of total)

ival-add: 11.0ms (17.4% of total)

backward-pass: 10.0ms (15.8% of total)

ival-exp: 6.0ms (9.5% of total)

ival-div: 5.0ms (7.9% of total)

ival-sub: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

series170.0ms (2.1%)

Counts

14 → 160

Calls

Call 1

Inputs
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))>
#<alt (*.f64 x #s(literal 1/4 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))>
#<alt (*.f64 x #s(literal 1/48 binary64))>
#<alt (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))>
#<alt (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))>
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))>

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

Calls

42 calls:

Time	Variable		Point	Expression
142.0ms	x	@	inf	(* x (+ 1/12 (* x 1/48)))
1.0ms	x	@	0	(* x 1/4)
1.0ms	x	@	-inf	(* x (+ 1/12 (* x 1/48)))
0.0ms	x	@	-inf	(* x (+ 1/4 (* x 1/12)))
0.0ms	x	@	inf	(* x (+ 1 (* x 1/4)))

rewrite334.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

424×	`log1p-expm1-u`
240×	`associate-r`
230×	`expm1-log1p-u`
225×	`add-cube-cbrt`
224×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	310
1	505	258
2	7696	258

Stop Event

1×	node limit

Counts

14 → 368

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(*.f64 x #s(literal 1/4 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/48 binary64))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))

Outputs
(+.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 x (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (-.f64 x (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/4 binary64) x))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (.f64 #s(literal -1/4 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/4 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))
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(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64)) (.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) x (*.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64))) (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
(.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (expm1.f64 x))
(pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (expm1.f64 x) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (.f64 #s(literal 1/576 binary64) x))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (.f64 #s(literal 1/576 binary64) x)) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64)) (-.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (*.f64 #s(literal 1/576 binary64) x)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/576 binary64) x))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (-.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (*.f64 #s(literal 1/576 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) #s(literal 1/144 binary64)) (-.f64 (.f64 x #s(literal 1/48 binary64)) #s(literal 1/12 binary64)))
(pow.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (cbrt.f64 (.f64 x #s(literal 1/48 binary64))) #s(literal 1/12 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/48 binary64))) (sqrt.f64 (.f64 x #s(literal 1/48 binary64))) #s(literal 1/12 binary64))

simplify236.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-neg`
475×	`associate-r`
422×	`associate-l`
401×	`fma-define`
341×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	858	14727
1	2023	14027
2	6906	14009

Stop Event

1×	node limit

Counts

528 → 565

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 1/12 binary64) x)
(*.f64 #s(literal 1/4 binary64) x)
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) #s(literal 1/2 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1/2 binary64))
(.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (expm1.f64 x))
(pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (expm1.f64 x) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (expm1.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) (sqrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (.f64 #s(literal 1/576 binary64) x))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (.f64 #s(literal 1/576 binary64) x)) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64)) (-.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (*.f64 #s(literal 1/576 binary64) x)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/576 binary64) x))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (-.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/110592 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (*.f64 #s(literal 1/576 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64)) #s(literal 1/144 binary64)) (-.f64 (.f64 x #s(literal 1/48 binary64)) #s(literal 1/12 binary64)))
(pow.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/48 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/48 binary64) x #s(literal 1/12 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2304 binary64))) (cbrt.f64 (.f64 x #s(literal 1/48 binary64))) #s(literal 1/12 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 1/48 binary64))) (sqrt.f64 (.f64 x #s(literal 1/48 binary64))) #s(literal 1/12 binary64))

Outputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 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 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))
(*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
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eval78.0ms (0.9%)

Compiler: Compiled 9387 to 2254 computations (76% saved)

prune420.0ms (5.1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	577	3	580
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	578	8	586

Accuracy

100.0%

Counts

586 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.8%	(/.f64 (expm1.f64 x) #s(literal 2 binary64))
✓	85.4%	(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
✓	89.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
	89.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
✓	85.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
✓	77.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
	77.1%	(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	54.5%	x

Compiler

Compiled 217 to 125 computations (42.4% saved)

regimes15.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))

Outputs
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))

Calls

3 calls:

10.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
100.0%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
(/.f64 (expm1.f64 x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
x
(/.f64 (expm1.f64 x) #s(literal 2 binary64))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
89.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -33.1b remaining (-113.7%)

Threshold costs -33.1b (-113.7%)

Counts

5 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
54.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1290729851065606e-7	537263449039169100.0

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.645364922096082e-8	40.82526496323151

Results

10.0ms

144×

valid

Compiler

Compiled 94 to 73 computations (22.3% saved)

Precisions

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

ival-exp: 3.0ms (49.6% of total)

ival-sub: 1.0ms (16.5% of total)

ival-div: 1.0ms (16.5% of total)

ival-neg: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
10×	`+-commutative`
3×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	226
1	73	226
2	78	226
3	81	226
4	82	226

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/4 binary64)) x (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
x

Outputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/4 binary64)) x (/.f64 (expm1.f64 x) #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x #s(literal 1/48 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
x

soundness1.1s (13.9%)

Rules

867×	`fma-define`
865×	`fma-neg`
773×	`times-frac`
627×	`distribute-lft-neg-out`
605×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	310
1	505	258
2	7696	258
0	511	8126
1	1163	7306
2	3702	7064
0	858	14727
1	2023	14027
2	6906	14009
0	544	8589940903
1	1026	8589940279
2	4169	8589939925
0	67	612
1	169	552
2	425	552
3	1167	552
4	2336	552
5	2724	552
6	3172	552
7	4456	552
8	5061	552
9	5767	552

Stop Event

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

Compiler

Compiled 350 to 177 computations (49.4% saved)

preprocess59.0ms (0.7%)

Compiler: Compiled 230 to 154 computations (33% saved)

Iter	Nodes	Cost
0	12	89
1	23	89
2	43	89
3	72	89
4	119	89
5	187	89
6	276	89
7	421	87
8	541	87
9	587	87
10	592	87

Iter	Nodes	Cost
0	12	89
1	23	89
2	43	89
3	72	89
4	119	89
5	187	89
6	276	89
7	421	87
8	541	87
9	587	87
10	592	87

analyze0.0ms (0%)

sample2.8s (33.3%)

preprocess69.0ms (0.8%)

explain130.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize198.0ms (2.4%)

series4.0ms (0.1%)

rewrite175.0ms (2.1%)

simplify187.0ms (2.3%)

eval6.0ms (0.1%)

prune18.0ms (0.2%)

localize507.0ms (6.1%)

series10.0ms (0.1%)

rewrite111.0ms (1.4%)

simplify207.0ms (2.5%)

eval48.0ms (0.6%)

prune50.0ms (0.6%)

localize445.0ms (5.4%)

series10.0ms (0.1%)

rewrite186.0ms (2.3%)

simplify147.0ms (1.8%)

eval58.0ms (0.7%)

prune77.0ms (0.9%)

localize315.0ms (3.8%)

series170.0ms (2.1%)

rewrite334.0ms (4%)

simplify236.0ms (2.9%)

eval78.0ms (0.9%)

prune420.0ms (5.1%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

simplify43.0ms (0.5%)

soundness1.1s (13.9%)

preprocess59.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	89
1	23	89
2	43	89
3	72	89
4	119	89
5	187	89
6	276	89
7	421	87
8	541	87
9	587	87
10	592	87