Details

analyze3.0ms (0%)

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)

sample575.0ms (4.6%)

Results

563.0ms	8256×	body	256	valid
1.0ms	13×	body	256	infinite

Bogosity

preprocess2.9s (23.1%)

Algorithm

2×

egglog

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify1.4s (11.6%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 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 (0.1%)

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)

series6.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 460 to 355 computations (22.8% saved)

rewrite1.5s (12%)

Algorithm

1×	batch-egg-rewrite

Rules

72× egg-rr

Counts

1 → 72

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (/.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 -1/2 x 1) x)) (cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) (.f64 x (cbrt.f64 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2)) (cbrt.f64 (.f64 (fma.f64 -1/2 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/2 x 1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x) (cbrt.f64 (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) (/.f64 x (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1/2 -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (fma.f64 x 1/2 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 -1/2 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (fma.f64 x 1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/2 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 -1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (fma.f64 x 1/2 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 -1/2 x) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (.f64 (fma.f64 x 1/2 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 9 (+.f64 9 (.f64 (fma.f64 x 1/2 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (+.f64 3 (.f64 (fma.f64 x 1/2 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (.f64 (.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3)))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x)) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 x)) 3) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))))) 3) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 -1/2 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 0 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))) (.f64 1 (.f64 (fma.f64 1/8 (pow.f64 x 3) -1) x))) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) -1) x) (-.f64 -1 (.f64 (fma.f64 1/2 x 1) (.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (.f64 (.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (.f64 (.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 (.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 (.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (fma.f64 x 1/2 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 (fma.f64 x 1/2 -1) x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 (fma.f64 -1/2 x 1) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (fma.f64 x 1/2 -1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (neg.f64 x) (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (fma.f64 1/2 x 1) x) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (.f64 1/2 x) x) 2)) (.f64 (fma.f64 1/2 x 1) x)) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) -1) (/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) x))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) 0) (/.f64 x (/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) (-.f64 1 (.f64 1/8 (pow.f64 x 3))))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (.f64 x (+.f64 1 (/.f64 (.f64 (.f64 -1/2 x) x) x))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 -1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 (.f64 1/4 (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1)) (fma.f64 x 1/2 -1)) 0) (.f64 (/.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (+.f64 1 (pow.f64 (.f64 (fma.f64 1/2 x 1) (.f64 1/2 x)) 3))) (-.f64 (.f64 (.f64 1/4 (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1)) (fma.f64 x 1/2 -1))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (fma.f64 -1/2 x 1) x) 0) (/.f64 1 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) -1)) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 -1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (.f64 (fma.f64 x 1/2 -1) x)) 0) (/.f64 (-.f64 0 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2)) (+.f64 0 (.f64 (fma.f64 x 1/2 -1) x))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 (.f64 -1/2 x) x) x) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (pow.f64 x 2)) (-.f64 (.f64 (.f64 -1/2 x) x) x)) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 -1/2 x) x) 0) (.f64 (.f64 (.f64 -1/2 x) x) (+.f64 1 (/.f64 x (.f64 (.f64 -1/2 x) x)))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (fma.f64 x 1/2 -1) x) 0) (/.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x))))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x)))) 0) (/.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x))))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x))))) (.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 -1/2 x 1) x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (/.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 x 1) x)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) (*.f64 x (cbrt.f64 (fma.f64 -1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2)) (cbrt.f64 (*.f64 (fma.f64 -1/2 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (fma.f64 -1/2 x 1) (cbrt.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x) (cbrt.f64 (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -1/2 x 1) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (fma.f64 -1/2 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -1/2 x 1) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) (/.f64 x (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (fma.f64 x 1/2 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -1/2 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (fma.f64 x 1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 -1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (fma.f64 x 1/2 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 -1/2 x) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 9 (+.f64 9 (*.f64 (fma.f64 x 1/2 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (+.f64 3 (*.f64 (fma.f64 x 1/2 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x)) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 x)) 3) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))))) 3) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/2 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))) (*.f64 1 (*.f64 (fma.f64 1/8 (pow.f64 x 3) -1) x))) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2) (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) -1) x) (-.f64 -1 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (*.f64 (*.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 (*.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 x 1/2 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (fma.f64 x 1/2 -1) x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (fma.f64 -1/2 x 1) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 2)) (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (fma.f64 x 1/2 -1) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 x) (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (*.f64 (*.f64 (*.f64 -1/2 x) x) (-.f64 (*.f64 (*.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (fma.f64 1/2 x 1) x) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 (*.f64 1/2 x) x) 2)) (*.f64 (fma.f64 1/2 x 1) x)) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) -1) (/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) x))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) 0) (/.f64 x (/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) (-.f64 1 (*.f64 1/8 (pow.f64 x 3))))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (*.f64 x (+.f64 1 (/.f64 (*.f64 (*.f64 -1/2 x) x) x))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 x 2) (*.f64 (*.f64 (*.f64 -1/2 x) x) (-.f64 (*.f64 (*.f64 -1/2 x) x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (*.f64 (*.f64 (*.f64 -1/2 x) x) (-.f64 (*.f64 (*.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 -1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (*.f64 (*.f64 (*.f64 -1/2 x) x) (-.f64 (*.f64 (*.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1)) (fma.f64 x 1/2 -1)) 0) (*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (+.f64 1 (pow.f64 (*.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x)) 3))) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1)) (fma.f64 x 1/2 -1))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (fma.f64 -1/2 x 1) x) 0) (/.f64 1 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) -1)) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 -1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (*.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (*.f64 (fma.f64 x 1/2 -1) x)) 0) (/.f64 (-.f64 0 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2)) (+.f64 0 (*.f64 (fma.f64 x 1/2 -1) x))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (*.f64 -1/2 x) x) x) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 2) (pow.f64 x 2)) (-.f64 (*.f64 (*.f64 -1/2 x) x) x)) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 -1/2 x) x) 0) (*.f64 (*.f64 (*.f64 -1/2 x) x) (+.f64 1 (/.f64 x (*.f64 (*.f64 -1/2 x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (fma.f64 x 1/2 -1) x) 0) (/.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2) (*.f64 0 (*.f64 (fma.f64 x 1/2 -1) x))))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (*.f64 -1/2 x) x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (*.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2) (*.f64 0 (*.f64 (fma.f64 x 1/2 -1) x)))) 0) (/.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2) (*.f64 0 (*.f64 (fma.f64 x 1/2 -1) x))))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (*.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2) (*.f64 0 (*.f64 (fma.f64 x 1/2 -1) x))))) (*.f64 (fma.f64 -1/2 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 -1/2 x 1) x))))))

simplify2.2s (17.8%)

Algorithm

1×

egglog

Counts

84 → 102

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 (/.f64 1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(.f64 (/.f64 x (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (/.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2))))
(.f64 (/.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2))))
(.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 x 1) x)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) (.f64 x (cbrt.f64 (fma.f64 -1/2 x 1))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2)) (cbrt.f64 (*.f64 (fma.f64 -1/2 x 1) x)))
(.f64 (.f64 x (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)))
(.f64 (cbrt.f64 x) (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 (pow.f64 x 2))))
(.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x) (cbrt.f64 (fma.f64 -1/2 x 1)))
(.f64 (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 x)))
(.f64 (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) (/.f64 x (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))
(.f64 1 (.f64 (fma.f64 -1/2 x 1) x))
(*.f64 (fma.f64 x 1/2 -1) (neg.f64 x))
(.f64 -1 (.f64 (fma.f64 x 1/2 -1) x))
(.f64 (.f64 (fma.f64 -1/2 x 1) x) 1)
(*.f64 (neg.f64 x) (fma.f64 x 1/2 -1))
(*.f64 (fma.f64 -1/2 x 1) x)
(.f64 (.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) -1))
(*.f64 x (fma.f64 -1/2 x 1))
(-.f64 0 (*.f64 (fma.f64 x 1/2 -1) x))
(-.f64 (.f64 (.f64 -1/2 x) x) (neg.f64 x))
(-.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 -1) x)))
(-.f64 9 (+.f64 9 (*.f64 (fma.f64 x 1/2 -1) x)))
(-.f64 3 (+.f64 3 (*.f64 (fma.f64 x 1/2 -1) x)))
(-.f64 x (.f64 (.f64 1/2 x) x))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x)) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))
(/.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 x)) 3) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))
(/.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))))) 3) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))
(/.f64 (*.f64 (fma.f64 -1/2 x 1) x) 1)
(/.f64 (-.f64 (.f64 0 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))) (.f64 1 (*.f64 (fma.f64 1/8 (pow.f64 x 3) -1) x))) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))
(/.f64 (cbrt.f64 (.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) -1) x) (-.f64 -1 (.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2)))
(/.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (.f64 (.f64 -1/2 x) x))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (.f64 (.f64 -1/2 x) x))
(fma.f64 1 x (.f64 (.f64 -1/2 x) x))
(fma.f64 x 1 (.f64 (.f64 -1/2 x) x))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 x 1) x)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 1)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 3))
(neg.f64 (*.f64 (fma.f64 x 1/2 -1) x))
(neg.f64 (-.f64 (*.f64 (fma.f64 x 1/2 -1) x) 0))
(neg.f64 (.f64 (.f64 (fma.f64 -1/2 x 1) x) -1))
(neg.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (fma.f64 x 1/2 -1))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (fma.f64 x 1/2 -1) (cbrt.f64 x))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 -1/2 x 1)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 (fma.f64 1/2 x 1) x) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (.f64 1/2 x) x) 2)) (.f64 (fma.f64 1/2 x 1) x)) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 x 0) (neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) -1) (/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) x))) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) 0) (/.f64 x (/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) (-.f64 1 (.f64 1/8 (pow.f64 x 3))))) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 x 0) (.f64 x (+.f64 1 (/.f64 (.f64 (.f64 -1/2 x) x) x))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 (.f64 -1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (-.f64 (.f64 (.f64 1/4 (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1)) (fma.f64 x 1/2 -1)) 0) (.f64 (/.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (+.f64 1 (pow.f64 (.f64 (fma.f64 1/2 x 1) (.f64 1/2 x)) 3))) (-.f64 (.f64 (.f64 1/4 (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1)) (fma.f64 x 1/2 -1))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 (fma.f64 -1/2 x 1) x) 0) (/.f64 1 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) -1)) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 (.f64 -1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (+.f64 0 (.f64 (fma.f64 x 1/2 -1) x)) 0) (/.f64 (-.f64 0 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2)) (+.f64 0 (.f64 (fma.f64 x 1/2 -1) x))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (-.f64 (.f64 (.f64 -1/2 x) x) x) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (pow.f64 x 2)) (-.f64 (.f64 (.f64 -1/2 x) x) x)) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 (.f64 -1/2 x) x) 0) (.f64 (.f64 (.f64 -1/2 x) x) (+.f64 1 (/.f64 x (.f64 (.f64 -1/2 x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 (fma.f64 x 1/2 -1) x) 0) (/.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x))))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x)))) 0) (/.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x))))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x))))) (*.f64 (fma.f64 -1/2 x 1) x))
(+.f64 x (.f64 (.f64 -1/2 x) x))
(+.f64 (.f64 (.f64 -1/2 x) x) x)
(+.f64 0 (*.f64 (fma.f64 -1/2 x 1) x))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 (*.f64 x -1/2) x x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 (*.f64 x -1/2) x x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 (*.f64 x -1/2) x x)
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) -2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) -2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) -2) x)
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 -1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 -1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 -1/2 (pow.f64 (/.f64 -1 x) -2) x)
(.f64 (/.f64 x (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (/.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2))))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(.f64 (/.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2))))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(.f64 (cbrt.f64 (.f64 (fma.f64 -1/2 x 1) x)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 2)))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) (.f64 x (cbrt.f64 (fma.f64 -1/2 x 1))))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2)) (cbrt.f64 (*.f64 (fma.f64 -1/2 x 1) x)))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (.f64 x (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (cbrt.f64 x) (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 (pow.f64 x 2))))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x) (cbrt.f64 (fma.f64 -1/2 x 1)))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 x)))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) (/.f64 x (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(.f64 1 (.f64 (fma.f64 -1/2 x 1) x))
(fma.f64 (*.f64 x -1/2) x x)
(*.f64 (fma.f64 x 1/2 -1) (neg.f64 x))
(-.f64 x (.f64 (.f64 1/2 x) x))
(.f64 -1 (.f64 (fma.f64 x 1/2 -1) x))
(-.f64 x (.f64 (.f64 1/2 x) x))
(.f64 (.f64 (fma.f64 -1/2 x 1) x) 1)
(fma.f64 (*.f64 x -1/2) x x)
(*.f64 (neg.f64 x) (fma.f64 x 1/2 -1))
(-.f64 x (.f64 (.f64 1/2 x) x))
(*.f64 (fma.f64 -1/2 x 1) x)
(fma.f64 (*.f64 x -1/2) x x)
(.f64 (.f64 (-.f64 1 (*.f64 1/8 (pow.f64 x 3))) x) (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) -1))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(*.f64 x (fma.f64 -1/2 x 1))
(fma.f64 (*.f64 x -1/2) x x)
(-.f64 0 (*.f64 (fma.f64 x 1/2 -1) x))
(-.f64 x (.f64 (.f64 1/2 x) x))
(-.f64 (.f64 (.f64 -1/2 x) x) (neg.f64 x))
(fma.f64 (*.f64 x -1/2) x x)
(-.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 -1) x)))
(-.f64 x (.f64 (.f64 1/2 x) x))
(-.f64 9 (+.f64 9 (*.f64 (fma.f64 x 1/2 -1) x)))
(-.f64 x (.f64 (.f64 1/2 x) x))
(-.f64 3 (+.f64 3 (*.f64 (fma.f64 x 1/2 -1) x)))
(-.f64 x (.f64 (.f64 1/2 x) x))
(-.f64 x (.f64 (.f64 1/2 x) x))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) x)) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))
(/.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (.f64 1/2 x) 3))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))) x) (cbrt.f64 (fma.f64 (.f64 1/2 x) (fma.f64 1/2 x 1) 1)))
(/.f64 (pow.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 x)) 3) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(/.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))))) 3) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(/.f64 (*.f64 (fma.f64 -1/2 x 1) x) 1)
(fma.f64 (*.f64 x -1/2) x x)
(/.f64 (-.f64 (.f64 0 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))) (.f64 1 (*.f64 (fma.f64 1/8 (pow.f64 x 3) -1) x))) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(/.f64 (cbrt.f64 (.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))
(cbrt.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 x) 3)) (.f64 x (pow.f64 (fma.f64 (.f64 x -1/2) x x) 2))) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x))) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1))))
(cbrt.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 x) 3)) (.f64 x (pow.f64 (fma.f64 (.f64 x -1/2) x x) 2))) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1)))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) -1) x) (-.f64 -1 (.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x))))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(/.f64 (/.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (cbrt.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) 2)))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(/.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)))
(/.f64 (+.f64 x (.f64 (pow.f64 (.f64 x -1/2) 3) x)) (fma.f64 (*.f64 1/2 x) (fma.f64 1/2 x 1) 1))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (.f64 (.f64 -1/2 x) x))
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (.f64 (.f64 -1/2 x) x))
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 1 x (.f64 (.f64 -1/2 x) x))
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 x 1 (.f64 (.f64 -1/2 x) x))
(fma.f64 (*.f64 x -1/2) x x)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 x 1) x)) 3)
(fma.f64 (*.f64 x -1/2) x x)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 3) 1/3)
(fma.f64 (*.f64 x -1/2) x x)
(pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 1)
(fma.f64 (*.f64 x -1/2) x x)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 x 1) x) 3))
(fma.f64 (*.f64 x -1/2) x x)
(neg.f64 (*.f64 (fma.f64 x 1/2 -1) x))
(-.f64 x (.f64 (.f64 1/2 x) x))
(neg.f64 (-.f64 (*.f64 (fma.f64 x 1/2 -1) x) 0))
(-.f64 x (.f64 (.f64 1/2 x) x))
(neg.f64 (.f64 (.f64 (fma.f64 -1/2 x 1) x) -1))
(fma.f64 (*.f64 x -1/2) x x)
(neg.f64 (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (fma.f64 x 1/2 -1))))
(-.f64 x (.f64 (.f64 1/2 x) x))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (fma.f64 x 1/2 -1) (cbrt.f64 x))))
(-.f64 x (.f64 (.f64 1/2 x) x))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 -1/2 x 1)))
(fma.f64 (*.f64 x -1/2) x x)
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x) (.f64 x x))) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 (.f64 (fma.f64 1/2 x 1) x) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (.f64 1/2 x) x) 2)) (.f64 (fma.f64 1/2 x 1) x)) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 x (fma.f64 1/2 x 1)) 0) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 1/2 x) x) 2)) (.f64 x (fma.f64 1/2 x 1))) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 x 0) (neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) -1) (/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) x))) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 x 0) (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 x) 3)) (/.f64 (fma.f64 (.f64 1/2 x) (fma.f64 1/2 x 1) 1) x)) (fma.f64 (*.f64 x -1/2) x x))
(if (!=.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) 0) (/.f64 x (/.f64 (fma.f64 1/4 (pow.f64 x 2) (fma.f64 1/2 x 1)) (-.f64 1 (.f64 1/8 (pow.f64 x 3))))) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (-.f64 1 (pow.f64 (.f64 1/2 x) 3)) 0) (/.f64 x (/.f64 (fma.f64 (.f64 1/2 x) (fma.f64 1/2 x 1) 1) (-.f64 1 (pow.f64 (.f64 1/2 x) 3)))) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 x 0) (.f64 x (+.f64 1 (/.f64 (.f64 (.f64 -1/2 x) x) x))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 x 0) (.f64 x (/.f64 (fma.f64 (.f64 x -1/2) x x) x)) (fma.f64 (*.f64 x -1/2) x x))
(if (!=.f64 (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x) (.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x) (.f64 x x))) (fma.f64 (*.f64 x -1/2) x x))
(if (!=.f64 (.f64 (.f64 -1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) (-.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 x (.f64 x -1/2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 (.f64 x (.f64 x -1/2)) (-.f64 (.f64 x (.f64 x -1/2)) x) (.f64 x x))) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 (-.f64 (.f64 (.f64 1/4 (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1)) (fma.f64 x 1/2 -1)) 0) (.f64 (/.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (+.f64 1 (pow.f64 (.f64 (fma.f64 1/2 x 1) (.f64 1/2 x)) 3))) (-.f64 (.f64 (.f64 1/4 (pow.f64 x 2)) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1)) (fma.f64 x 1/2 -1))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (fma.f64 (pow.f64 (.f64 1/2 x) 2) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (neg.f64 (fma.f64 x 1/2 -1))) 0) (/.f64 (.f64 (.f64 x (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 (pow.f64 (.f64 1/2 x) 2) (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (neg.f64 (fma.f64 x 1/2 -1)))) (-.f64 -1 (pow.f64 (.f64 (.f64 (fma.f64 1/2 x 1) 1/2) x) 3))) (fma.f64 (*.f64 x -1/2) x x))
(if (!=.f64 (.f64 (fma.f64 -1/2 x 1) x) 0) (/.f64 1 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) -1)) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (fma.f64 (.f64 x -1/2) x x) 0) (pow.f64 (pow.f64 (fma.f64 (.f64 x -1/2) x x) -1) -1) (fma.f64 (*.f64 x -1/2) x x))
(if (!=.f64 (.f64 (.f64 -1/2 x) x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 x (.f64 x -1/2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (.f64 x (-.f64 (.f64 x (.f64 x -1/2)) x)))) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 (+.f64 0 (.f64 (fma.f64 x 1/2 -1) x)) 0) (/.f64 (-.f64 0 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2)) (+.f64 0 (.f64 (fma.f64 x 1/2 -1) x))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 (fma.f64 x 1/2 -1) x) 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 x -1/2) x x) 2)) (.f64 (fma.f64 x 1/2 -1) x)) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 (-.f64 (.f64 (.f64 -1/2 x) x) x) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (pow.f64 x 2)) (-.f64 (.f64 (.f64 -1/2 x) x) x)) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (.f64 x x)) (-.f64 (.f64 x (.f64 x -1/2)) x)) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 (.f64 (.f64 -1/2 x) x) 0) (.f64 (.f64 (.f64 -1/2 x) x) (+.f64 1 (/.f64 x (.f64 (.f64 -1/2 x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 x (.f64 x -1/2)) 0) (.f64 (.f64 x -1/2) (+.f64 (.f64 (/.f64 (/.f64 x (.f64 x -1/2)) x) x) x)) (fma.f64 (*.f64 x -1/2) x x))
(if (!=.f64 (.f64 (fma.f64 x 1/2 -1) x) 0) (/.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x))))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (.f64 (fma.f64 x 1/2 -1) x) 0) (/.f64 (pow.f64 (fma.f64 (.f64 x -1/2) x x) 3) (pow.f64 (fma.f64 (.f64 x -1/2) x x) 2)) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x)))) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 (-.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (.f64 x (-.f64 (.f64 x (.f64 x -1/2)) x))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (.f64 x (-.f64 (.f64 x (.f64 x -1/2)) x)))) (fma.f64 (*.f64 x -1/2) x x))
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(if (!=.f64 (pow.f64 (fma.f64 (.f64 x -1/2) x x) 2) 0) (/.f64 (pow.f64 (fma.f64 (.f64 x -1/2) x x) 3) (pow.f64 (fma.f64 (.f64 x -1/2) x x) 2)) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 x) x) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (-.f64 (pow.f64 x 2) (.f64 (.f64 (.f64 -1/2 x) x) x)))) (.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (.f64 (.f64 1/2 x) x) 2) (.f64 x (-.f64 (.f64 x (.f64 x -1/2)) x)))) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (fma.f64 -1/2 x 1) x) 2) (.f64 0 (.f64 (fma.f64 x 1/2 -1) x))))) (*.f64 (fma.f64 -1/2 x 1) x))
(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 (.f64 x -1/2) x x) 3) (pow.f64 (fma.f64 (.f64 x -1/2) x x) 2)) (fma.f64 (*.f64 x -1/2) x x))
(+.f64 x (.f64 (.f64 -1/2 x) x))
(fma.f64 (*.f64 x -1/2) x x)
(+.f64 (.f64 (.f64 -1/2 x) x) x)
(fma.f64 (*.f64 x -1/2) x x)
(+.f64 0 (*.f64 (fma.f64 -1/2 x 1) x))
(fma.f64 (*.f64 x -1/2) x x)

eval52.0ms (0.4%)

Compiler: Compiled 2295 to 1666 computations (27.4% saved)

prune11.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	3	103

Error

Counts

103 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 x (.f64 (.f64 1/2 x) x))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	19.8b	x

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

series11.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 460 to 355 computations (22.8% saved)

rewrite1.5s (11.8%)

Algorithm

1×	batch-egg-rewrite

Rules

78× egg-rr

Counts

1 → 78

Calls

Call 1

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

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

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x (fma.f64 -1/2 x 1)) 3) (+.f64 0 (-.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 2) (*.f64 0 (*.f64 x (fma.f64 -1/2 x 1)))))) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (fma.f64 1/2 x -1)) 0) (/.f64 (neg.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 2)) (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (*.f64 x (fma.f64 -1/2 x 1)) 0))) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 x 3) (*.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (+.f64 (*.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (+.f64 (pow.f64 x 2) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))))) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 2) (*.f64 0 (*.f64 x (fma.f64 -1/2 x 1))))) 0) (/.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 3) (+.f64 0 (-.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 2) (*.f64 0 (*.f64 x (fma.f64 -1/2 x 1)))))) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (+.f64 (pow.f64 x 2) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))) 0) (/.f64 (-.f64 (pow.f64 x 3) (*.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (+.f64 (*.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (+.f64 (pow.f64 x 2) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))))) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (fma.f64 -1/2 x 1)) 0) (/.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 3) (+.f64 0 (-.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 2) (*.f64 0 (*.f64 x (fma.f64 -1/2 x 1)))))) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -1/2 (pow.f64 x 2)) 0) (/.f64 (-.f64 (pow.f64 x 3) (*.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (+.f64 (*.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (+.f64 (pow.f64 x 2) (*.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))))) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (*.f64 x (fma.f64 -1/2 x 1)) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 x (fma.f64 -1/2 x 1)) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/2) (fma.f64 1/2 x 1)) x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (*.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (*.f64 x (+.f64 (*.f64 (*.f64 (pow.f64 x 2) 1/2) (fma.f64 1/2 x 1)) x))) (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 1/2 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 -1/2 x 1)) 0)))))

simplify2.2s (17.6%)

Algorithm

1×

egglog

Counts

90 → 113

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 (/.f64 1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(.f64 (cbrt.f64 (.f64 x (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2)) (cbrt.f64 (*.f64 x (fma.f64 -1/2 x 1))))
(*.f64 (neg.f64 x) (fma.f64 1/2 x -1))
(.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (+.f64 1 (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 1/2) x)))) (+.f64 (cbrt.f64 x) (cbrt.f64 (.f64 -1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (fma.f64 -1/2 x 1)))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (fma.f64 -1/2 x 1) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 1/2 x -1))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 2))))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2)) (.f64 0 (cbrt.f64 (.f64 x (fma.f64 1/2 x -1)))))) (cbrt.f64 (*.f64 x (fma.f64 -1/2 x 1))))
(.f64 (neg.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 (pow.f64 x 2)) (fma.f64 1/2 x -1)))
(.f64 (cbrt.f64 x) (-.f64 (neg.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 x 1/2))) (neg.f64 (cbrt.f64 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 (.f64 (cbrt.f64 x) (*.f64 x -1/2)) (neg.f64 (cbrt.f64 x))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2))) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 -1/2 (pow.f64 x 2)))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2)) (.f64 0 (cbrt.f64 (.f64 x (fma.f64 -1/2 x 1)))))) (+.f64 0 (cbrt.f64 (*.f64 x (fma.f64 -1/2 x 1)))))
(.f64 (+.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2))) (-.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 x)))) (+.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 x)))
(.f64 (neg.f64 (cbrt.f64 (pow.f64 x 2))) (.f64 (cbrt.f64 x) (fma.f64 1/2 x -1)))
(.f64 (cbrt.f64 x) (+.f64 (neg.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 x 1/2))) (cbrt.f64 (pow.f64 x 2))))
(.f64 1 (.f64 x (fma.f64 -1/2 x 1)))
(.f64 (.f64 x (fma.f64 1/2 x -1)) -1)
(*.f64 x (fma.f64 -1/2 x 1))
(.f64 -1 (.f64 x (fma.f64 1/2 x -1)))
(.f64 (.f64 x (fma.f64 -1/2 x 1)) 1)
(*.f64 (fma.f64 -1/2 x 1) x)
(.f64 (/.f64 (.f64 x (fma.f64 -1/2 x 1)) 2) 2)
(-.f64 x (*.f64 (pow.f64 x 2) 1/2))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))
(-.f64 0 (*.f64 x (fma.f64 1/2 x -1)))
(/.f64 (*.f64 x (fma.f64 -1/2 x 1)) 1)
(/.f64 (*.f64 x (fma.f64 1/2 x -1)) -1)
(fma.f64 (*.f64 x 1/2) (neg.f64 x) x)
(fma.f64 (neg.f64 x) (*.f64 x 1/2) x)
(fma.f64 (.f64 (cbrt.f64 x) (.f64 x -1/2)) (cbrt.f64 (pow.f64 x 2)) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/2)) (cbrt.f64 (.f64 -1/4 (pow.f64 (pow.f64 x 2) 2))) x)
(fma.f64 1/2 (neg.f64 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) x)
(fma.f64 -1 (*.f64 (pow.f64 x 2) 1/2) x)
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2))) x)
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 x 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 0 0 (*.f64 x (fma.f64 -1/2 x 1)))
(fma.f64 1 0 (*.f64 x (fma.f64 -1/2 x 1)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/2 x 1))) 3)
(pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/2 x 1)) 3))
(neg.f64 (*.f64 x (fma.f64 1/2 x -1)))
(if (!=.f64 (.f64 (pow.f64 x 2) 1/2) 0) (/.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (.f64 x (+.f64 (.f64 (.f64 (pow.f64 x 2) 1/2) (fma.f64 1/2 x 1)) x))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (.f64 x (+.f64 (.f64 (.f64 (pow.f64 x 2) 1/2) (fma.f64 1/2 x 1)) x))) (*.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 x (fma.f64 1/2 x 1)) 0) (/.f64 (fma.f64 x x (.f64 -1/4 (pow.f64 (pow.f64 x 2) 2))) (.f64 x (fma.f64 1/2 x 1))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 x 0) (.f64 x (/.f64 (.f64 x (fma.f64 -1/2 x 1)) x)) (*.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 -1/2 (pow.f64 x 2)) 0) (/.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (.f64 x (+.f64 (.f64 (.f64 (pow.f64 x 2) 1/2) (fma.f64 1/2 x 1)) x))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 (fma.f64 1/2 x 1) (neg.f64 x)) 0) (/.f64 (fma.f64 x x (.f64 -1/4 (pow.f64 (pow.f64 x 2) 2))) (.f64 x (fma.f64 1/2 x 1))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 -1/2 (pow.f64 x 2)) 0) (.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (/.f64 x (.f64 -1/2 (pow.f64 x 2))))) (*.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 x (fma.f64 1/2 x -1)) 0) (/.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 3) (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2)) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2) 0) (/.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 3) (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2)) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 3) (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2)) (*.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 x (fma.f64 -1/2 x 1)) 0) (/.f64 1 (/.f64 1 (.f64 x (fma.f64 -1/2 x 1)))) (*.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 3) (+.f64 0 (-.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2) (.f64 0 (.f64 x (fma.f64 -1/2 x 1)))))) (*.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 x (fma.f64 1/2 x -1)) 0) (/.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2)) (.f64 x (fma.f64 1/2 x -1))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 0 0) (.f64 0 (+.f64 1 (/.f64 (.f64 x (fma.f64 -1/2 x 1)) 0))) (*.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (+.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (+.f64 (pow.f64 x 2) (.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))))) (*.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2) (.f64 0 (.f64 x (fma.f64 -1/2 x 1))))) 0) (/.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 3) (+.f64 0 (-.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2) (.f64 0 (.f64 x (fma.f64 -1/2 x 1)))))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (+.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (+.f64 (pow.f64 x 2) (.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x)))) 0) (/.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (+.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (+.f64 (pow.f64 x 2) (.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 x (fma.f64 -1/2 x 1)) 0) (/.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 3) (+.f64 0 (-.f64 (pow.f64 (.f64 x (fma.f64 -1/2 x 1)) 2) (.f64 0 (.f64 x (fma.f64 -1/2 x 1)))))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 -1/2 (pow.f64 x 2)) 0) (/.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (+.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (+.f64 (pow.f64 x 2) (.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 x))))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 2 0) (.f64 x (fma.f64 -1/2 x 1)) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 1 0) (.f64 x (fma.f64 -1/2 x 1)) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 x (+.f64 (.f64 (.f64 (pow.f64 x 2) 1/2) (fma.f64 1/2 x 1)) x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (.f64 x (+.f64 (.f64 (.f64 (pow.f64 x 2) 1/2) (fma.f64 1/2 x 1)) x))) (.f64 x (fma.f64 -1/2 x 1)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0) x)
(+.f64 0 (*.f64 x (fma.f64 -1/2 x 1)))
(+.f64 0 (*.f64 (fma.f64 1/2 x -1) (neg.f64 x)))
(+.f64 (*.f64 x (fma.f64 -1/2 x 1)) 0)

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 (/.f64 1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) -2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) -2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) -2) x)
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
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(if (!=.f64 1 0) (fma.f64 (.f64 x -1/2) x x) (fma.f64 (.f64 x -1/2) x x))
(if (!=.f64 (.f64 x (+.f64 (.f64 (.f64 (pow.f64 x 2) 1/2) (fma.f64 1/2 x 1)) x)) 0) (/.f64 (-.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 (pow.f64 x 3) 2))) (.f64 x (+.f64 (.f64 (.f64 (pow.f64 x 2) 1/2) (fma.f64 1/2 x 1)) x))) (.f64 x (fma.f64 -1/2 x 1)))
(if (!=.f64 (.f64 x (fma.f64 (.f64 1/2 (.f64 x x)) (fma.f64 1/2 x 1) x)) 0) (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 1/2 (.f64 x x)) 3)) x) (fma.f64 (.f64 1/2 (.f64 x x)) (fma.f64 1/2 x 1) x)) (fma.f64 (.f64 x -1/2) x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 0 (*.f64 x (fma.f64 -1/2 x 1)))
(fma.f64 (*.f64 x -1/2) x x)
(+.f64 0 (*.f64 (fma.f64 1/2 x -1) (neg.f64 x)))
(fma.f64 (*.f64 x 1/2) (neg.f64 x) x)
(+.f64 (*.f64 x (fma.f64 -1/2 x 1)) 0)
(fma.f64 (*.f64 x -1/2) x x)

eval56.0ms (0.4%)

Compiler: Compiled 2238 to 1564 computations (30.1% saved)

prune13.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Error

Counts

116 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 1/2 x) x))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	19.8b	x

Compiler

Compiled 18 to 12 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 1/2 x) x))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	19.8b	x

Compiler

Compiled 18 to 12 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 1/2 x) x))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	19.8b	x

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -19.8b remaining (-253411.4%)

Threshold costs -19.8b (-253411.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	(.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 26 to 17 computations (34.6% saved)

simplify1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end14.0ms (0.1%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

Details

analyze3.0ms (0%)

sample575.0ms (4.6%)

preprocess2.9s (23.1%)

simplify1.4s (11.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series6.0ms (0%)

rewrite1.5s (12%)

simplify2.2s (17.8%)

eval52.0ms (0.4%)

prune11.0ms (0.1%)

localize7.0ms (0.1%)

series11.0ms (0.1%)

rewrite1.5s (11.8%)

simplify2.2s (17.6%)

eval56.0ms (0.4%)

prune13.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes8.0ms (0.1%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end14.0ms (0.1%)

Profiling