Details

analyze4.0ms (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
25%	25%	75%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
81.3%	81.2%	18.7%	0%	0%	0%	0%	5
90.6%	90.6%	9.4%	0%	0%	0%	0%	6
95.3%	95.3%	4.7%	0%	0%	0%	0%	7
97.7%	97.6%	2.3%	0%	0%	0%	0%	8
98.8%	98.8%	1.2%	0%	0%	0%	0%	9
99.4%	99.4%	0.6%	0%	0%	0%	0%	10
99.7%	99.7%	0.3%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample861.0ms (49%)

Results

852.0ms

8256×

body

256

valid

Bogosity

preprocess29.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	27	7
5	37	7
6	50	7
7	68	7
8	81	7
9	84	7
10	85	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	27	7
5	37	7
6	50	7
7	68	7
8	81	7
9	84	7
10	85	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`pow1_binary64`
568×	`add-log-exp_binary64`
568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1473	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

Outputs

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

simplify40.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
361×	`log-prod_binary64`
265×	`log-div_binary64`
260×	`fma-neg_binary64`
214×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	589
1	288	484
2	925	388
3	3897	388

Stop Event

1×	node limit

Counts

44 → 64

Calls

Call 1

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

Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) x)
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 x (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3)))
(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))

eval14.0ms (0.8%)

Compiler: Compiled 652 to 435 computations (33.3% saved)

prune8.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Error

Counts

65 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.7b	(fma.f64 x x x)
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	17.5b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
	35.4b	x
	28.8b	-1

Compiler

Compiled 27 to 17 computations (37% saved)

localize13.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
✓	16.8b	(/.f64 x (-.f64 1 (*.f64 x x)))

Compiler

Compiled 32 to 16 computations (50% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`prod-diff_binary64`
467×	`log-prod_binary64`
334×	`pow-prod-down_binary64`
298×	`fma-def_binary64`
240×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	187	17
2	2821	17

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 (.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1) (/.f64 x (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (.f64 x x)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (.f64 (-.f64 (/.f64 1 x) x) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (.f64 (-.f64 (/.f64 1 x) x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x x) (-.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 1 (.f64 x x)) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (.f64 (neg.f64 (-.f64 1 (.f64 x x))) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 x x -1)) (.f64 (-.f64 1 (.f64 x x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) 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Outputs

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(*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2))) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (-.f64 (/.f64 1 x) x) -1/2)) (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (/.f64 x (-.f64 1 (*.f64 x x))))))))

simplify66.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

495×	`distribute-rgt-in_binary64`
433×	`associate-*l/_binary64`
424×	`distribute-lft-in_binary64`
310×	`associate-*r/_binary64`
228×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	2839
1	880	2679
2	2976	2609

Stop Event

1×	node limit

Counts

157 → 222

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 0 (/.f64 x (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) 1)
(.f64 x (/.f64 1 (-.f64 1 (.f64 x x))))
(.f64 x (.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1))
(.f64 1 (/.f64 x (-.f64 1 (.f64 x x))))
(.f64 (/.f64 x (-.f64 1 (.f64 x x))) 1)
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (.f64 x x)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) 1))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (pow.f64 (-.f64 (/.f64 1 x) x) -1/2))
(.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) 1))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) x)
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) -2) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(pow.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) 2)
(pow.f64 (-.f64 (/.f64 1 x) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 x) x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 x) x))) 1))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
(+.f64 (.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1) (/.f64 x (-.f64 1 (.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 x (-.f64 1 x))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x x)))
(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 (/.f64 1 x) x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x -1) (*.f64 (-.f64 (/.f64 1 x) x) (+.f64 x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 1 (*.f64 x x)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (.f64 x (fma.f64 x x -1)) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))
(/.f64 (.f64 (neg.f64 x) (fma.f64 x x -1)) (.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (+.f64 x -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) x) (.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 1 (*.f64 x x))))
(/.f64 (.f64 (fma.f64 x x -1) x) (.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 1) (.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 (/.f64 1 x) x)))
(/.f64 (.f64 (fma.f64 x x -1) 1) (.f64 (+.f64 x -1) (-.f64 (/.f64 1 x) x)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (neg.f64 x)) (.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) (.f64 (+.f64 x -1) (neg.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 3) (pow.f64 (-.f64 (/.f64 1 x) x) -3)) (+.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 2) (-.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2) (.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 2) (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (fma.f64 x x x) 1) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (fma.f64 x x x) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (-.f64 1 (.f64 x x))))
(/.f64 (/.f64 (fma.f64 x x x) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 (.f64 x x))))
(/.f64 (.f64 (neg.f64 x) (+.f64 x 1)) (neg.f64 (-.f64 1 (.f64 x x))))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 x (-.f64 1 (.f64 x x)))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (fma.f64 x x -1) (/.f64 x (-.f64 1 (.f64 x x)))) (+.f64 x -1))
(/.f64 (.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (/.f64 x (-.f64 1 (.f64 x x))) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (.f64 (+.f64 x 1) (neg.f64 x)) (neg.f64 (-.f64 1 (.f64 x x))))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x x)) -1)
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))) (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (.f64 x x))))) (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))))
(log.f64 (.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (.f64 x x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(fma.f64 x (/.f64 x (-.f64 1 (.f64 x x))) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 x (/.f64 1 (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 x (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 1) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 1 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 1 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (/.f64 x (-.f64 1 (.f64 x x))) x (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1 (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) x) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) 1) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) x) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (*.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) 1) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1 (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 2) (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) -2) (/.f64 x (cbrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (.f64 (/.f64 x (-.f64 1 (.f64 x x))) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (.f64 (/.f64 x (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2))) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (.f64 x (pow.f64 (-.f64 (/.f64 1 x) x) -1/2)) (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (/.f64 x (-.f64 1 (.f64 x x))))

Outputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 x (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 (+.f64 (pow.f64 x 5) x) (pow.f64 x 3))
(+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(+.f64 (pow.f64 x 5) (+.f64 (+.f64 (pow.f64 x 7) (pow.f64 x 3)) x))
(+.f64 (pow.f64 x 5) (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 7))))
(+.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (pow.f64 x 7)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 5)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 5)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7)))
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) x)
(+.f64 x (fma.f64 x x (pow.f64 x 3)))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 x (pow.f64 x 3)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x))))
(+.f64 0 (/.f64 x (-.f64 1 (*.f64 x x))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 x x))))) 1)
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 x (/.f64 1 (-.f64 1 (.f64 x x))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 x (.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 1 (/.f64 x (-.f64 1 (.f64 x x))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 (/.f64 x (-.f64 1 (.f64 x x))) 1)
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (/.f64 1 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (/.f64 1 x) x)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (/.f64 1 x) x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (pow.f64 (-.f64 (/.f64 1 x) x) -1/2))
(/.f64 1 (-.f64 (/.f64 1 x) x))
(.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) 1))
(/.f64 1 (-.f64 (/.f64 1 x) x))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (.f64 x x)))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) x)
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (.f64 x x))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) -2) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(/.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (-.f64 (/.f64 1 x) x)))
(/.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (-.f64 (/.f64 1 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (.f64 (pow.f64 (-.f64 1 (.f64 x x)) -1/2) x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (.f64 x (pow.f64 (-.f64 1 (.f64 x x)) -1/2)) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(pow.f64 (/.f64 x (-.f64 1 (*.f64 x x))) 1)
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2) 1/2)
(/.f64 1 (-.f64 (/.f64 1 x) x))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -3) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -3))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) 3)
(/.f64 1 (-.f64 (/.f64 1 x) x))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) 2)
(/.f64 1 (-.f64 (/.f64 1 x) x))
(pow.f64 (-.f64 (/.f64 1 x) x) -1)
(/.f64 1 (-.f64 (/.f64 1 x) x))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (fma.f64 x x -1) 3))))
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) x) 1) -1)
(/.f64 1 (-.f64 (/.f64 1 x) x))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2))
(/.f64 1 (-.f64 (/.f64 1 x) x))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (*.f64 x x))))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (fma.f64 x x -1) 3))))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))
(/.f64 x (-.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 x) x))))
(/.f64 1 (-.f64 (/.f64 1 x) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 x) x))) 1))
(/.f64 1 (-.f64 (/.f64 1 x) x))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))
(+.f64 (.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1) (/.f64 x (-.f64 1 (.f64 x x))))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x x)))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (fma.f64 x x x))
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(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 2) (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (-.f64 1 (.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) -2) (/.f64 x (cbrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (-.f64 (/.f64 1 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (-.f64 1 (.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (.f64 (/.f64 x (-.f64 1 (.f64 x x))) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (/.f64 x (-.f64 1 (.f64 x x))) (cbrt.f64 x)) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (/.f64 (cbrt.f64 x) (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 1 (.f64 x x))))
(.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) (+.f64 (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) 1))
(fma.f64 (.f64 (/.f64 x (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (fma.f64 x x x))
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x -1))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2))) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (.f64 x (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1 x) x)))) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (/.f64 x (cbrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) -2)) (/.f64 x (cbrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(fma.f64 (.f64 x (pow.f64 (-.f64 (/.f64 1 x) x) -1/2)) (pow.f64 (-.f64 (/.f64 1 x) x) -1/2) (/.f64 x (-.f64 1 (.f64 x x))))
(+.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (fma.f64 x x -1)))

localize3.0ms (0.2%)

Compiler: Compiled 6 to 2 computations (66.7% saved)

eval79.0ms (4.5%)

Compiler: Compiled 3802 to 2384 computations (37.3% saved)

prune27.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	221	6	227

Error

Counts

227 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	17.5b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
▶	35.7b	(*.f64 x (+.f64 x 1))
	35.4b	x
	28.8b	-1

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 x 1))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite35.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`pow1_binary64`
496×	`add-sqr-sqrt_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`
476×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	105	5
2	1332	5

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 x (+.f64 x 1))

Outputs

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

simplify33.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

489×	`log-prod_binary64`
389×	`associate-l_binary64`
332×	`associate-r_binary64`
323×	`associate-/l*_binary64`
240×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	218
1	148	206
2	537	204
3	3095	204

Stop Event

1×	node limit

Counts

33 → 32

Calls

Call 1

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

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

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) x)
✓	0.1b	(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))

Compiler

Compiled 23 to 15 computations (34.8% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite50.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
890×	`add-log-exp_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	164	20
2	2453	20

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/r*_binary64`
560×	`fma-def_binary64`
513×	`associate-/l*_binary64`
460×	`unswap-sqr_binary64`
311×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	1153
1	518	1105
2	1926	1095

Stop Event

1×	node limit

Counts

94 → 108

Calls

Call 1

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

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

eval38.0ms (2.1%)

Compiler: Compiled 1813 to 1199 computations (33.9% saved)

prune17.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	140	6	146

Error

Counts

146 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	35.7b	(+.f64 (*.f64 x x) x)
✓	17.5b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
	35.4b	x
	28.8b	-1

Compiler

Compiled 38 to 25 computations (34.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) x)

Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (*.f64 x x) x)
0.0ms	x	@	inf	(+.f64 (*.f64 x x) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 x x) x)

rewrite38.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`pow1_binary64`
488×	`add-sqr-sqrt_binary64`
472×	`add-log-exp_binary64`
471×	`log1p-expm1-u_binary64`
471×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	92	5
2	1367	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(+.f64 (*.f64 x x) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))))

simplify43.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-neg_binary64`
565×	`log-prod_binary64`
493×	`associate-l_binary64`
456×	`div-sub_binary64`
434×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	384
1	216	359
2	702	359
3	4669	359

Stop Event

1×	node limit

Counts

50 → 45

Calls

Call 1

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

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

eval10.0ms (0.5%)

Compiler: Compiled 451 to 213 computations (52.8% saved)

prune7.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	45	6	51

Error

Counts

51 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	35.7b	(+.f64 (*.f64 x x) x)
✓	17.5b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
	35.4b	x
	28.8b	-1

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes10.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

Inputs
-1
x
(*.f64 x (+.f64 x 1))
(+.f64 (*.f64 x x) x)
(/.f64 x (-.f64 1 x))
(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))
(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
(fma.f64 x x x)

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

Calls

2 calls:

6.0ms	x
3.0ms	(/.f64 x (-.f64 1 x))

Results

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

Compiler

Compiled 50 to 28 computations (44% saved)

regimes12.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

Inputs
-1
x
(*.f64 x (+.f64 x 1))
(+.f64 (*.f64 x x) x)

Outputs
-1
(+.f64 (*.f64 x x) x)
-1

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 15 to 8 computations (46.7% saved)

bsearch26.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.4129501031004158	1171.3982308287837
14.0ms	-4908.613410115437	-9.627578305813797e-5

Results

22.0ms

272×

body

256

valid

Compiler

Compiled 180 to 126 computations (30% saved)

regimes11.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

Inputs
-1
x
(*.f64 x (+.f64 x 1))

Outputs
-1
(*.f64 x (+.f64 x 1))
-1

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch25.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.4129501031004158	1171.3982308287837
13.0ms	-4908.613410115437	-9.627578305813797e-5

Results

22.0ms

272×

body

256

valid

Compiler

Compiled 180 to 143 computations (20.6% saved)

regimes10.0ms (0.5%)

Accuracy

Total -59.6b remaining (-2627.8%)

Threshold costs -59.6b (-2627.8%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
x

Outputs
-1
x
-1

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.3b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch27.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.4129501031004158	1171.3982308287837
14.0ms	-4908.613410115437	-9.627578305813797e-5

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 112 to 92 computations (17.9% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	28	65
2	31	65
3	33	65
4	34	65

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (+.f64 (*.f64 x x) x) -1))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (*.f64 x (+.f64 x 1)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (+.f64 (*.f64 x x) x) -1))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (+.f64 x (*.f64 x x)) -1))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (*.f64 x (+.f64 x 1)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Compiler

Compiled 52 to 38 computations (26.9% saved)

soundness0.0ms (0%)

end38.0ms (2.2%)

Compiler: Compiled 48 to 34 computations (29.2% saved)

Details

analyze4.0ms (0.2%)

sample861.0ms (49%)

preprocess29.0ms (1.6%)

simplify8.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series1.0ms (0.1%)

rewrite43.0ms (2.5%)

simplify40.0ms (2.3%)

eval14.0ms (0.8%)

prune8.0ms (0.5%)

localize13.0ms (0.7%)

series2.0ms (0.1%)

rewrite58.0ms (3.3%)

simplify66.0ms (3.8%)

localize3.0ms (0.2%)

eval79.0ms (4.5%)

prune27.0ms (1.6%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite35.0ms (2%)

simplify33.0ms (1.9%)

localize9.0ms (0.5%)

series2.0ms (0.1%)

rewrite50.0ms (2.8%)

simplify41.0ms (2.3%)

eval38.0ms (2.1%)

prune17.0ms (1%)

localize3.0ms (0.2%)

series1.0ms (0.1%)

rewrite38.0ms (2.1%)

simplify43.0ms (2.5%)

eval10.0ms (0.5%)

prune7.0ms (0.4%)

regimes10.0ms (0.6%)

regimes12.0ms (0.7%)

bsearch26.0ms (1.5%)

regimes11.0ms (0.6%)

bsearch25.0ms (1.4%)

regimes10.0ms (0.5%)

bsearch27.0ms (1.5%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end38.0ms (2.2%)

Profiling