Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample589.0ms (39.3%)

Results

577.0ms	8256×	body	256	valid
1.0ms	10×	body	256	infinite

Bogosity

preprocess26.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

210×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`distribute-rgt-in_binary64`
21×	`sub-neg_binary64`
19×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	34	8
3	70	8
4	143	8
5	205	8
6	283	8
7	378	8
8	590	8
9	610	8
10	640	8
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
(.f64 x (+.f64 1 (.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 1))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

210×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`distribute-rgt-in_binary64`
21×	`sub-neg_binary64`
19×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	34	8
3	70	8
4	143	8
5	205	8
6	283	8
7	378	8
8	590	8
9	610	8
10	640	8

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
(.f64 x (+.f64 1 (.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 1))

eval1.0ms (0.1%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (-.f64 1 (.f64 x 1/2)))
1.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 x 1/2)))
1.0ms	x	@	-inf	(.f64 x (-.f64 1 (.f64 x 1/2)))

rewrite40.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
653×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	147	10
2	1791	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (.f64 (.f64 x -1/2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (.f64 x x) 1/4)) x) (+.f64 1 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (.f64 (pow.f64 x 3) 1/8))) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (.f64 (.f64 x x) 1/4))) (+.f64 1 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 x -1/2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (.f64 (.f64 x -1/2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (.f64 (.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (.f64 x -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 1 (.f64 x -1/2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 (.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (*.f64 x -1/2)) (log.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/4)) x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (*.f64 x x) 1/4))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (*.f64 x -1/2)) (log.f64 x)))))))

simplify40.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

813×	`fma-def_binary64`
382×	`*-commutative_binary64`
329×	`associate-l_binary64`
323×	`associate-/r/_binary64`
280×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	314
1	155	306
2	495	288
3	2571	278
4	5608	278

Stop Event

1×	node limit

Counts

31 → 34

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (.f64 (.f64 x -1/2) x))
(+.f64 x (.f64 x (.f64 x -1/2)))
(-.f64 (+.f64 1 (+.f64 x (.f64 (.f64 x -1/2) x))) 1)
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x x) 1/4)) x) (+.f64 1 (.f64 x 1/2)))
(/.f64 (.f64 x (-.f64 1 (.f64 (pow.f64 x 3) 1/8))) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))
(/.f64 (.f64 x (-.f64 1 (.f64 (.f64 x x) 1/4))) (+.f64 1 (.f64 x 1/2)))
(pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 1)
(pow.f64 (pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 x -1/2) x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (.f64 (.f64 x -1/2) x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 2))
(log.f64 (exp.f64 (+.f64 x (.f64 (.f64 x -1/2) x))))
(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (.f64 x -1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 1 (.f64 x -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x -1/2) x))))
(log1p.f64 (expm1.f64 (+.f64 x (.f64 (.f64 x -1/2) x))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x -1/2)) (log.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 x (.f64 (.f64 x -1/2) x))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 x (.f64 x (.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(-.f64 (+.f64 1 (+.f64 x (.f64 (.f64 x -1/2) x))) 1)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) (/.f64 (+.f64 1 (fma.f64 x 1/2 (.f64 (*.f64 x x) 1/4))) x))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 x 3) -1/8)) (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/4))))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 4) x) (fma.f64 x (fma.f64 x 1/4 1/2) 1))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x x) 1/4)) x) (+.f64 1 (.f64 x 1/2)))
(/.f64 x (/.f64 (+.f64 1 (.f64 x 1/2)) (-.f64 1 (.f64 (*.f64 x x) 1/4))))
(.f64 (/.f64 x (fma.f64 x 1/2 1)) (+.f64 1 (.f64 (*.f64 x x) -1/4)))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/4)) (fma.f64 x 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 3) -1/4 x) (fma.f64 x 1/2 1))
(/.f64 (.f64 x (-.f64 1 (.f64 (pow.f64 x 3) 1/8))) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) (/.f64 (+.f64 1 (fma.f64 x 1/2 (.f64 (*.f64 x x) 1/4))) x))
(.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 x 3) -1/8)) (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/4))))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 4) x) (fma.f64 x (fma.f64 x 1/4 1/2) 1))
(/.f64 (.f64 x (-.f64 1 (.f64 (.f64 x x) 1/4))) (+.f64 1 (.f64 x 1/2)))
(/.f64 x (/.f64 (+.f64 1 (.f64 x 1/2)) (-.f64 1 (.f64 (*.f64 x x) 1/4))))
(.f64 (/.f64 x (fma.f64 x 1/2 1)) (+.f64 1 (.f64 (*.f64 x x) -1/4)))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/4)) (fma.f64 x 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 3) -1/4 x) (fma.f64 x 1/2 1))
(pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 1)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 3) 1/3)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 x -1/2) x))) 3)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (sqrt.f64 (+.f64 x (.f64 (.f64 x -1/2) x))) 2)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(sqrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 2))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(log.f64 (exp.f64 (+.f64 x (.f64 (.f64 x -1/2) x))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (pow.f64 (+.f64 x (.f64 (.f64 x -1/2) x)) 3))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (.f64 x -1/2)) 3)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (.f64 (pow.f64 (+.f64 1 (.f64 x -1/2)) 3) (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(expm1.f64 (log1p.f64 (+.f64 x (.f64 (.f64 x -1/2) x))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(log1p.f64 (expm1.f64 (+.f64 x (.f64 (.f64 x -1/2) x))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x -1/2)) (log.f64 x)))
(.f64 x (exp.f64 (log1p.f64 (.f64 x -1/2))))

eval8.0ms (0.6%)

Compiler: Compiled 375 to 264 computations (29.6% saved)

prune6.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	5	35

Error

Counts

35 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.6b	(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))
▶	0.0b	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
▶	41.5b	(.f64 x (.f64 x -1/2))
	20.4b	x

Compiler

Compiled 46 to 33 computations (28.3% saved)

localize4.0ms (0.3%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize8.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 x -1/2) x))

Compiler

Compiled 18 to 11 computations (38.9% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 x (.f64 (.f64 x -1/2) x))
0.0ms	x	@	inf	(+.f64 x (.f64 (.f64 x -1/2) x))
0.0ms	x	@	-inf	(+.f64 x (.f64 (.f64 x -1/2) x))

rewrite110.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`pow1_binary64`
671×	`add-log-exp_binary64`
670×	`log1p-expm1-u_binary64`
670×	`expm1-log1p-u_binary64`
658×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	134	8
2	1828	8

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 x -1/2) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (.f64 x -1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x -1/2)))) (/.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 2) (-.f64 x (.f64 x (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x -1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x -1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2)) (/.f64 1 (-.f64 x (.f64 x (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -1/2 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x -1/2 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (.f64 x (.f64 x -1/2))) (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 2) (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2)) (-.f64 x (.f64 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2))) (neg.f64 (-.f64 x (.f64 x (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 2) (.f64 x x)) (-.f64 (.f64 x (.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 x -1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x -1/2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 x -1/2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -1/2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -1/2) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 x (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) 2) (cbrt.f64 (.f64 x (.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (.f64 x -1/2))) (sqrt.f64 (.f64 x (.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (.f64 x -1/2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x -1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 x (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x -1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (-.f64 x (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1/2 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -1/2 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))))))

simplify127.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

625×	`fma-neg_binary64`
528×	`cancel-sign-sub-inv_binary64`
518×	`div-sub_binary64`
289×	`fma-def_binary64`
246×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	587
1	244	567
2	842	537
3	4123	522

Stop Event

1×	node limit

Counts

52 → 50

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x -1/2)))) (/.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 2) (-.f64 x (.f64 x (*.f64 x -1/2)))))
(*.f64 x (fma.f64 x -1/2 1))
(.f64 (fma.f64 x (.f64 x -1/2) x) 1)
(.f64 1 (fma.f64 x (.f64 x -1/2) x))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2)) (/.f64 1 (-.f64 x (.f64 x (.f64 x -1/2)))))
(*.f64 (fma.f64 x -1/2 1) x)
(.f64 (.f64 (fma.f64 x -1/2 1) 1) x)
(.f64 (.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 x -1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 x (.f64 x -1/2))) (-.f64 (.f64 x x) (pow.f64 (.f64 x (*.f64 x -1/2)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (*.f64 x -1/2)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 2) (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x -1/2))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2)) (-.f64 x (.f64 x (*.f64 x -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (*.f64 x -1/2)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2))) (neg.f64 (-.f64 x (.f64 x (*.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 2) (.f64 x x)) (-.f64 (.f64 x (*.f64 x -1/2)) x))
(pow.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 1 x (.f64 x (.f64 x -1/2)))
(fma.f64 1 (.f64 x (.f64 x -1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) 2) (cbrt.f64 (.f64 x (.f64 x -1/2))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (.f64 x -1/2)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x -1/2))) (sqrt.f64 (.f64 x (.f64 x -1/2))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (.f64 x -1/2)))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(.f64 -1/2 (.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(.f64 -1/2 (.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x -1/2)))) (/.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 2) (-.f64 x (.f64 x (*.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(.f64 (fma.f64 x (.f64 x -1/2) x) 1)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(.f64 1 (fma.f64 x (.f64 x -1/2) x))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 x (.f64 (.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (.f64 x (+.f64 x (.f64 -1/2 (.f64 x (-.f64 (.f64 -1/2 (*.f64 x x)) x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 1/4 (pow.f64 x 4))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2)) (/.f64 1 (-.f64 x (.f64 x (.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 (fma.f64 x -1/2 1) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(.f64 (.f64 (fma.f64 x -1/2 1) 1) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(.f64 (.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(.f64 (.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 x -1/2)) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 x (.f64 (.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (.f64 x (+.f64 x (.f64 -1/2 (.f64 x (-.f64 (.f64 -1/2 (*.f64 x x)) x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 1/4 (pow.f64 x 4))))
(/.f64 1 (/.f64 (-.f64 x (.f64 x (.f64 x -1/2))) (-.f64 (.f64 x x) (pow.f64 (.f64 x (*.f64 x -1/2)) 2))))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (*.f64 x -1/2)) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 x (.f64 (.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (.f64 x (+.f64 x (.f64 -1/2 (.f64 x (-.f64 (.f64 -1/2 (*.f64 x x)) x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 2) (-.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x -1/2))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 x (.f64 (.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (.f64 x (+.f64 x (.f64 -1/2 (.f64 x (-.f64 (.f64 -1/2 (*.f64 x x)) x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2)) (-.f64 x (.f64 x (*.f64 x -1/2))))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (*.f64 x -1/2)) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (.f64 x (.f64 (.f64 x -1/2) (fma.f64 x (*.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (.f64 x (+.f64 x (.f64 -1/2 (.f64 x (-.f64 (.f64 -1/2 (*.f64 x x)) x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x -1/2)) 2))) (neg.f64 (-.f64 x (.f64 x (*.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 2) (.f64 x x)) (-.f64 (.f64 x (*.f64 x -1/2)) x))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(pow.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 1/3)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 3)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 1 x (.f64 x (.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 1 (.f64 x (.f64 x -1/2)) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) 2) (cbrt.f64 (.f64 x (.f64 x -1/2))) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 (sqrt.f64 (.f64 x (.f64 x -1/2))) (sqrt.f64 (.f64 x (.f64 x -1/2))) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)

localize29.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))
✓	0.0b	(.f64 (.f64 x x) 1/4)
✓	0.1b	(.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x)
✓	8.0b	(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))

Compiler

Compiled 83 to 57 computations (31.3% saved)

series6.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))
1.0ms	x	@	inf	(.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x)
1.0ms	x	@	-inf	(.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x)

rewrite77.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`fma-def_binary64`
440×	`fma-neg_binary64`
288×	`expm1-udef_binary64`
287×	`log1p-udef_binary64`
227×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	380	58
2	5201	48

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x)
(.f64 (.f64 x x) 1/4)
(+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) x)) (/.f64 (.f64 (pow.f64 x 3) 1/8) (/.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -1/8 1) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -1/8 1) (.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) 2) (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 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(expm1.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/4)))) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (.f64 x (fma.f64 x 1/4 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/4 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x 1/4)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 1/4) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 1/2 (.f64 x 1/2)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 x (.f64 x 1/2)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/2) 1 (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/2) (.f64 x 1/2) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 1/4 (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (.f64 x x) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x 1/4)) 1 (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/4) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/4)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 1/16)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (.f64 x 1/2)) (.f64 x 1/2)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/4)) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/4)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 x 1/2)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 3)) (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 1/4 1/2)) (fma.f64 x (fma.f64 x 1/4 1/2) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 2)) (/.f64 1 (-.f64 1 (.f64 x (fma.f64 x 1/4 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/4) x (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/4 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/2) x) 1/2 (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/2) 1/2) x (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (.f64 x 1/2)) (*.f64 x 1/2))))))

simplify75.0ms (5%)

Algorithm

1×	egg-herbie

Rules

335×	`cancel-sign-sub-inv_binary64`
312×	`log-prod_binary64`
295×	`associate-/r/_binary64`
252×	`associate-/l/_binary64`
234×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	3032
1	971	2840
2	3477	2816

Stop Event

1×	node limit

Counts

219 → 220

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
x
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(*.f64 -1/8 (pow.f64 x 4))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(*.f64 -1/8 (pow.f64 x 4))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x))) 1)
(-.f64 (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) x)) (/.f64 (*.f64 (pow.f64 x 3) 1/8) (/.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) x)))
(.f64 1 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x))
(.f64 x (.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) x)))
(.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1)))
(.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(.f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)))
(.f64 (.f64 x (neg.f64 (fma.f64 (pow.f64 x 3) -1/8 1))) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(.f64 (/.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)))
(*.f64 (/.f64 x 1) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) 1) (/.f64 x (fma.f64 x (fma.f64 x 1/4 1/2) 1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (fma.f64 x (fma.f64 x 1/4 1/2) 1)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (fma.f64 x (fma.f64 x 1/4 1/2) 1)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2)) (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2)) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2)) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))) (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))) (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 3))) (fma.f64 (.f64 x (fma.f64 x 1/4 1/2)) (fma.f64 x (fma.f64 x 1/4 1/2) -1) 1))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 2))) (-.f64 1 (.f64 x (fma.f64 x 1/4 1/2))))
(pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) 2)
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) -1)
(neg.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) (neg.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) 3) (pow.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (fma.f64 x (fma.f64 x 1/4 1/2) 1)) x)) 1))
(+.f64 x (.f64 (.f64 (pow.f64 x 3) -1/8) x))
(+.f64 x (.f64 x (.f64 (pow.f64 x 3) -1/8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)))) 1)
(/.f64 (.f64 (-.f64 1 (.f64 1/512 (pow.f64 (pow.f64 x 3) 3))) x) (+.f64 1 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 6) 1/64))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/64)) x) (fma.f64 (pow.f64 x 3) 1/8 1))
(/.f64 (.f64 x (-.f64 1 (.f64 1/512 (pow.f64 (pow.f64 x 3) 3)))) (+.f64 1 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 6) 1/64))))
(/.f64 (.f64 x (-.f64 1 (.f64 (pow.f64 x 6) 1/64))) (fma.f64 (pow.f64 x 3) 1/8 1))
(pow.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 3) -1/8 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 x 3) -1/8 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/8 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 1))) 1))
(fma.f64 1 x (.f64 (.f64 (pow.f64 x 3) -1/8) x))
(fma.f64 1 x (.f64 x (.f64 (pow.f64 x 3) -1/8)))
(fma.f64 x 1 (.f64 (.f64 (pow.f64 x 3) -1/8) x))
(fma.f64 x 1 (.f64 x (.f64 (pow.f64 x 3) -1/8)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (pow.f64 x 3) -1/8) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 (pow.f64 x 3) -1/8)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (.f64 (pow.f64 x 3) -1/8) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (.f64 (pow.f64 x 3) -1/8)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (pow.f64 x 3) -1/8) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (.f64 (pow.f64 x 3) -1/8)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (.f64 (pow.f64 x 3) -1/8) x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 x (.f64 (pow.f64 x 3) -1/8)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/4)))) 1)
(pow.f64 (*.f64 x 1/2) 2)
(pow.f64 (.f64 x (.f64 x 1/4)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/64) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/16))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/4)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/64))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/4))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/4))))
(exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -3/4)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -3/4)) 1))
(-.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) 1)
(-.f64 (/.f64 (.f64 x (.f64 x 1/4)) (.f64 x (-.f64 1/2 (.f64 x 1/4)))) (/.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 x (-.f64 1/2 (*.f64 x 1/4)))))
(.f64 1 (.f64 x (fma.f64 x 1/4 1/2)))
(.f64 x (+.f64 1/2 (.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(.f64 (.f64 x (fma.f64 x 1/4 1/2)) 1)
(.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/4 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/4 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/4 1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/4 1/2))) (sqrt.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 (pow.f64 x 6) 1/64)) (/.f64 1 (fma.f64 x (.f64 x 1/4) (fma.f64 (pow.f64 x 4) 1/16 (.f64 (pow.f64 x 3) -1/8)))))
(.f64 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 (pow.f64 x 4) 1/16)) (/.f64 1 (.f64 x (-.f64 1/2 (.f64 x 1/4)))))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x 1/4) (fma.f64 (pow.f64 x 4) 1/16 (.f64 (pow.f64 x 3) -1/8))) (fma.f64 (pow.f64 x 3) 1/8 (*.f64 (pow.f64 x 6) 1/64))))
(/.f64 1 (/.f64 (.f64 x (-.f64 1/2 (.f64 x 1/4))) (-.f64 (.f64 x (.f64 x 1/4)) (*.f64 (pow.f64 x 4) 1/16))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 (pow.f64 x 6) 1/64)) (fma.f64 x (.f64 x 1/4) (fma.f64 (pow.f64 x 4) 1/16 (*.f64 (pow.f64 x 3) -1/8))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 (pow.f64 x 6) 1/64)) (fma.f64 (pow.f64 x 4) 1/16 (fma.f64 x (.f64 x 1/4) (*.f64 (pow.f64 x 3) -1/8))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 (pow.f64 x 4) 1/16)) (.f64 x (-.f64 1/2 (*.f64 x 1/4))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 (pow.f64 x 6) 1/64))) (neg.f64 (fma.f64 x (.f64 x 1/4) (fma.f64 (pow.f64 x 4) 1/16 (*.f64 (pow.f64 x 3) -1/8)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 (pow.f64 x 4) 1/16))) (neg.f64 (.f64 x (-.f64 1/2 (*.f64 x 1/4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 x (.f64 x 1/4))) (-.f64 (.f64 x (.f64 x 1/4)) (.f64 x 1/2)))
(pow.f64 (*.f64 x (fma.f64 x 1/4 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/4 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/4 1/2))) 2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/4 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/4 1/2)) 2))
(log.f64 (exp.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/4 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))
(log.f64 (.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 1/4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 1/4)))) (pow.f64 (exp.f64 1/2) x)))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/4)))) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/4 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(expm1.f64 (.f64 (log1p.f64 (.f64 x (fma.f64 x 1/4 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/4 1/2))) 1))
(fma.f64 1 (.f64 x 1/2) (.f64 x (*.f64 x 1/4)))
(fma.f64 1 (.f64 x (.f64 x 1/4)) (*.f64 x 1/2))
(fma.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1) -1)
(fma.f64 x 1/2 (.f64 x (.f64 x 1/4)))
(fma.f64 x (.f64 x 1/4) (.f64 x 1/2))
(fma.f64 x (.f64 1/2 (.f64 x 1/2)) (*.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/4)))
(fma.f64 1/2 (.f64 x (.f64 x 1/2)) (*.f64 x 1/2))
(fma.f64 (.f64 x 1/2) 1 (.f64 x (*.f64 x 1/4)))
(fma.f64 (.f64 x 1/2) (.f64 x 1/2) (*.f64 x 1/2))
(fma.f64 (.f64 x x) 1/4 (.f64 x 1/2))
(fma.f64 1/4 (.f64 x x) (.f64 x 1/2))
(fma.f64 (.f64 x (.f64 x 1/4)) 1 (*.f64 x 1/2))
(fma.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) 1 -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/4) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/4)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x (*.f64 x 1/4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/4)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 1/16)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/4)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (.f64 x 1/2)) (.f64 x 1/2)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/4)) (.f64 x (*.f64 x 1/4)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/4)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x (*.f64 x 1/4)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/4)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 x 1/2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) -1)
(fma.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x 1/2))
(fma.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 3)) (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 1/4 1/2)) (fma.f64 x (fma.f64 x 1/4 1/2) -1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 2)) (/.f64 1 (-.f64 1 (.f64 x (fma.f64 x 1/4 1/2)))) -1)
(fma.f64 (.f64 x 1/4) x (.f64 x 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (.f64 x (.f64 x 1/4)))
(fma.f64 (.f64 1/4 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (*.f64 x 1/4)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x 1/4)))
(fma.f64 (.f64 (.f64 x 1/2) x) 1/2 (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/2) 1/2) x (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (.f64 x 1/2)) (*.f64 x 1/2))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
x
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(fma.f64 -1/8 (pow.f64 x 4) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(fma.f64 -1/8 (pow.f64 x 4) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(fma.f64 -1/8 (pow.f64 x 4) x)
(*.f64 -1/8 (pow.f64 x 4))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(fma.f64 -1/8 (pow.f64 x 4) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(fma.f64 -1/8 (pow.f64 x 4) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(fma.f64 -1/8 (pow.f64 x 4) x)
(*.f64 -1/8 (pow.f64 x 4))
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(fma.f64 -1/8 (pow.f64 x 4) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(fma.f64 -1/8 (pow.f64 x 4) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)
(fma.f64 -1/8 (pow.f64 x 4) x)
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/4 1/2))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 x 1/4))
(+.f64 (.f64 1/2 x) (.f64 1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/4 1/2))
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(*.f64 x (fma.f64 x 1/4 1/2))
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(/.f64 (-.f64 (.f64 x 1/4) (/.f64 (pow.f64 x 4) (/.f64 x 1/16))) (+.f64 1/2 (.f64 x -1/4)))
(/.f64 (fma.f64 x 1/4 (/.f64 -1/16 (/.f64 x (pow.f64 x 4)))) (+.f64 1/2 (*.f64 x -1/4)))
(pow.f64 (*.f64 x (fma.f64 x 1/4 1/2)) 1)
(*.f64 x (fma.f64 x 1/4 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/4 1/2))) 3)
(*.f64 x (fma.f64 x 1/4 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/4 1/2))) 2)
(*.f64 x (fma.f64 x 1/4 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/4 1/2)) 3) 1/3)
(*.f64 x (fma.f64 x 1/4 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/4 1/2)) 2))
(*.f64 x (fma.f64 x 1/4 1/2))
(log.f64 (exp.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(*.f64 x (fma.f64 x 1/4 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/4 1/2)))))
(*.f64 x (fma.f64 x 1/4 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (pow.f64 (pow.f64 (exp.f64 x) x) 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(log.f64 (.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 1/4))))))
(*.f64 x (fma.f64 x 1/4 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/4))))))
(*.f64 x (fma.f64 x 1/4 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 1/4)))) (pow.f64 (exp.f64 1/2) x)))
(*.f64 x (fma.f64 x 1/4 1/2))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(*.f64 x (fma.f64 x 1/4 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/4)))) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(*.f64 x (fma.f64 x 1/4 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/4 1/2)) 3))
(*.f64 x (fma.f64 x 1/4 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(*.f64 x (fma.f64 x 1/4 1/2))
(expm1.f64 (.f64 (log1p.f64 (.f64 x (fma.f64 x 1/4 1/2))) 1))
(*.f64 x (fma.f64 x 1/4 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(*.f64 x (fma.f64 x 1/4 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/4 1/2))))
(*.f64 x (fma.f64 x 1/4 1/2))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/4 1/2))) 1))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x (*.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 1 (.f64 x (.f64 x 1/4)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 1 (fma.f64 x (fma.f64 x 1/4 1/2) 1) -1)
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 x 1/2 (.f64 x (.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 x (.f64 x 1/4) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 x (.f64 1/2 (.f64 x 1/2)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 1/2 (.f64 x (.f64 x 1/2)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (.f64 x 1/2) 1 (.f64 x (*.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (.f64 x 1/2) (.f64 x 1/2) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (.f64 x x) 1/4 (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 1/4 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (.f64 x (.f64 x 1/4)) 1 (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1) 1 -1)
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/4) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/4 (pow.f64 (cbrt.f64 x) 2)) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/4)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x (*.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 1/16)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 1/16)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (.f64 x 1/2)) (.f64 x 1/2)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2) -1)
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) -1)
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/4)) (.f64 x (*.f64 x 1/4)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/4)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x (*.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 x 1/2)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/4 1/2) 1)) -1)
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x 1/2))
(fma.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 3)) (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 1/4 1/2)) (fma.f64 x (fma.f64 x 1/4 1/2) -1) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 3)) (fma.f64 (.f64 x (fma.f64 x 1/4 1/2)) (fma.f64 x (fma.f64 x 1/4 1/2) -1) 1)))
(fma.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 2)) (/.f64 1 (-.f64 1 (.f64 x (fma.f64 x 1/4 1/2)))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/4 1/2)) 2)) (-.f64 1 (.f64 x (fma.f64 x 1/4 1/2)))))
(fma.f64 (.f64 x 1/4) x (.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (.f64 x (.f64 x 1/4)))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (fabs.f64 (cbrt.f64 (.f64 x 1/2))) (.f64 x (.f64 x 1/4)))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/16))) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/4)))
(fma.f64 (.f64 1/4 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/4 (pow.f64 (cbrt.f64 x) 2)) (.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (*.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x 1/4)))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (.f64 (.f64 x 1/2) x) 1/2 (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (.f64 (.f64 x 1/2) 1/2) x (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (cbrt.f64 (.f64 x 1/2)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x 1/4 1/2))

eval140.0ms (9.4%)

Compiler: Compiled 6174 to 4645 computations (24.8% saved)

prune33.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	269	1	270
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	270	5	275

Error

Counts

275 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 (*.f64 x -1/2) x x)
✓	0.0b	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
✓	41.5b	(.f64 x (.f64 x -1/2))
	20.4b	x

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize5.0ms (0.3%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 (*.f64 x -1/2) x x)
✓	0.0b	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
✓	41.5b	(.f64 x (.f64 x -1/2))
	20.4b	x

Compiler

Compiled 31 to 20 computations (35.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 (*.f64 x -1/2) x x)
✓	0.0b	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
✓	41.5b	(.f64 x (.f64 x -1/2))
	20.4b	x

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes10.0ms (0.7%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x -1/2))
(.f64 x (-.f64 1 (.f64 x 1/2)))
(+.f64 x (.f64 (.f64 x -1/2) x))
(fma.f64 (*.f64 x -1/2) x x)
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (*.f64 x x) 1/4))))

Outputs
(fma.f64 (*.f64 x -1/2) x x)

Calls

2 calls:

4.0ms	(.f64 x (-.f64 1 (.f64 x 1/2)))
4.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(.f64 x (-.f64 1 (.f64 x 1/2)))`

Compiler

Compiled 58 to 39 computations (32.8% saved)

regimes9.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x -1/2))
(.f64 x (-.f64 1 (.f64 x 1/2)))
(+.f64 x (.f64 (.f64 x -1/2) x))

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Calls

2 calls:

5.0ms	(.f64 x (-.f64 1 (.f64 x 1/2)))
3.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(.f64 x (-.f64 1 (.f64 x 1/2)))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes8.0ms (0.6%)

Accuracy

Total -59.1b remaining (-4201.1%)

Threshold costs -59.1b (-4201.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(.f64 x (.f64 x -1/2))

Outputs
(.f64 x (.f64 x -1/2))
x
(.f64 x (.f64 x -1/2))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 9 to 5 computations (44.4% saved)

bsearch65.0ms (4.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.4816585604442856	1786220.891804816
53.0ms	-106358.28871209716	-1.4216119958159734

Results

22.0ms

288×

body

256

valid

Compiler

Compiled 192 to 135 computations (29.7% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	29	46
2	38	46
3	46	46
4	54	46
5	56	46
6	57	46

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x -1/2) x x)
(.f64 x (-.f64 1 (.f64 x 1/2)))
(if (<=.f64 x -2) (.f64 x (.f64 x -1/2)) (if (<=.f64 x 2) x (.f64 x (.f64 x -1/2))))
x

Outputs
(fma.f64 (*.f64 x -1/2) x x)
(.f64 x (-.f64 1 (.f64 x 1/2)))
(.f64 x (+.f64 (.f64 x -1/2) 1))
(if (<=.f64 x -2) (.f64 x (.f64 x -1/2)) (if (<=.f64 x 2) x (.f64 x (.f64 x -1/2))))
x

Compiler

Compiled 37 to 24 computations (35.1% saved)

soundness0.0ms (0%)

end35.0ms (2.3%)

Compiler: Compiled 34 to 21 computations (38.2% saved)

Details

analyze3.0ms (0.2%)

sample589.0ms (39.3%)

preprocess26.0ms (1.8%)

simplify18.0ms (1.2%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize7.0ms (0.5%)

series2.0ms (0.1%)

rewrite40.0ms (2.7%)

simplify40.0ms (2.7%)

eval8.0ms (0.6%)

prune6.0ms (0.4%)

localize4.0ms (0.3%)

localize8.0ms (0.6%)

series1.0ms (0.1%)

rewrite110.0ms (7.3%)

simplify127.0ms (8.5%)

localize29.0ms (1.9%)

series6.0ms (0.4%)

rewrite77.0ms (5.1%)

simplify75.0ms (5%)

eval140.0ms (9.4%)

prune33.0ms (2.2%)

localize5.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes10.0ms (0.7%)

regimes9.0ms (0.6%)

regimes8.0ms (0.6%)

bsearch65.0ms (4.4%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end35.0ms (2.3%)

Profiling