Details

analyze3.0ms (0.1%)

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)

sample646.0ms (27%)

Results

635.0ms

8256×

body

256

valid

Bogosity

preprocess19.0ms (0.8%)

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)

simplify9.0ms (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))

rewrite40.0ms (1.7%)

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))))))))

simplify41.0ms (1.7%)

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 (0.6%)

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

prune11.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	7	65

Error

Counts

65 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(fma.f64 x x x)
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	30.0b	(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
▶	16.8b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
▶	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) x)
	31.0b	x
	32.3b	-1

Compiler

Compiled 45 to 31 computations (31.1% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite43.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`pow1_binary64`
621×	`add-log-exp_binary64`
621×	`log1p-expm1-u_binary64`
621×	`expm1-log1p-u_binary64`
609×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	130	14
2	1694	14

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

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

simplify57.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

598×	`associate-l_binary64`
594×	`fma-neg_binary64`
548×	`associate-r_binary64`
428×	`unswap-sqr_binary64`
385×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	938
1	364	773
2	1206	640
3	7005	640

Stop Event

1×	node limit

Counts

69 → 101

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

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 x x))
✓	0.1b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
✓	16.2b	(/.f64 x (-.f64 1 (*.f64 x x)))

Compiler

Compiled 32 to 16 computations (50% saved)

series5.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 x (-.f64 1 (*.f64 x x)))
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 1 (*.f64 x x))
0.0ms	x	@	0	(-.f64 1 (*.f64 x x))

rewrite63.0ms (2.6%)

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	33
1	187	24
2	2821	24

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

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x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 x (neg.f64 x)) 2) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 2)) (-.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1) (-.f64 1 (pow.f64 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (neg.f64 (cbrt.f64 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 2) (cbrt.f64 (*.f64 x (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1)))))

simplify79.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

444×	`unswap-sqr_binary64`
316×	`div-sub_binary64`
281×	`cancel-sign-sub-inv_binary64`
185×	`fma-neg_binary64`
183×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	3525
1	1079	3275
2	4142	3248

Stop Event

1×	node limit

Counts

216 → 277

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

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

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (-.f64 1 x))
✓	3.5b	(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`pow1_binary64`
877×	`add-log-exp_binary64`
876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	169	7
2	2594	7

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (-.f64 1 x))) 1)) (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (-.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(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 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 1))))) (#(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 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 1))))) (#(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 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2) (+.f64 (/.f64 x (-.f64 1 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (-.f64 1 x))) 1)))))) (#(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 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2) (+.f64 (/.f64 x (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 x (-.f64 1 x))) 1) (-.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (-.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2) (+.f64 (/.f64 x (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (-.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (-.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2)) (+.f64 (-.f64 1 (/.f64 x (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2) (+.f64 (/.f64 x (-.f64 1 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2))) (neg.f64 (+.f64 (-.f64 1 (/.f64 x (-.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) (+.f64 1 (/.f64 x (-.f64 1 x)))) (+.f64 1 (+.f64 1 (/.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) (+.f64 1 (/.f64 x (-.f64 1 x)))) 1) (+.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 2) 1) (-.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(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 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)))) (#(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 log.f64 (+.f64 1 (expm1.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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 x (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (/.f64 x (-.f64 1 x)) -1)) 1)))))

simplify46.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

559×	`associate-/l*_binary64`
419×	`associate-/r*_binary64`
371×	`cancel-sign-sub-inv_binary64`
352×	`fma-neg_binary64`
337×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1119
1	493	1049
2	1916	1035

Stop Event

1×	node limit

Counts

77 → 107

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

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

localize4.0ms (0.2%)

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

eval159.0ms (6.7%)

Compiler: Compiled 8212 to 5444 computations (33.7% saved)

prune71.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	546	3	549
Fresh	0	2	2
Picked	1	0	1
Done	2	2	4
Total	549	7	556

Error

Counts

556 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	0.1b	(/.f64 1 (/.f64 (-.f64 1 x) x))
▶	0.0b	(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) x)
	31.0b	x
	32.3b	-1

Compiler

Compiled 52 to 36 computations (30.8% saved)

localize17.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (*.f64 x x))
✓	0.0b	(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
✓	0.1b	(/.f64 x (-.f64 (/.f64 1 x) x))
	16.2b	(/.f64 x (-.f64 1 (*.f64 x x)))

Compiler

Compiled 48 to 25 computations (47.9% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`fma-def_binary64`
625×	`log-prod_binary64`
316×	`fma-neg_binary64`
296×	`log-div_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	246	32
2	4116	32

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 2) (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (/.f64 x (cbrt.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (/.f64 (sqrt.f64 x) (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 x (sqrt.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (-.f64 (/.f64 1 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.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 x (-.f64 (pow.f64 x -2) (*.f64 x x))) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 x -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (pow.f64 x -2) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x -2) 1))) 1))))))

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

simplify78.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

606×	`distribute-rgt-in_binary64`
534×	`distribute-lft-in_binary64`
352×	`unswap-sqr_binary64`
292×	`div-sub_binary64`
271×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	4334
1	967	4173
2	3152	3999

Stop Event

1×	node limit

Counts

161 → 242

Calls

Call 1

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

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 4) (pow.f64 x 2))
(fma.f64 x x (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6)))
(+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))
(+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))
(+.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6))))
(+.f64 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6)) (pow.f64 x 8))
(+.f64 (+.f64 (pow.f64 x 8) (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 6))
(+.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 (pow.f64 x 6) (pow.f64 x 8)))
-1
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (neg.f64 (/.f64 1 (*.f64 x x))))
(-.f64 -1 (/.f64 1 (*.f64 x x)))
(-.f64 -1 (pow.f64 x -2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (*.f64 x x))))
(-.f64 (-.f64 -1 (pow.f64 x -2)) (/.f64 1 (pow.f64 x 4)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (-.f64 (-.f64 -1 (pow.f64 x -2)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 6)))
-1
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (neg.f64 (/.f64 1 (*.f64 x x))))
(-.f64 -1 (/.f64 1 (*.f64 x x)))
(-.f64 -1 (pow.f64 x -2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (*.f64 x x))))
(-.f64 (-.f64 -1 (pow.f64 x -2)) (/.f64 1 (pow.f64 x 4)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) 1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (-.f64 (-.f64 -1 (pow.f64 x -2)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 6)))
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 (*.f64 x x) (pow.f64 x 3)) x)
(+.f64 x (fma.f64 x x (pow.f64 x 3)))
(+.f64 (fma.f64 x 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 (pow.f64 x 4) (+.f64 x (fma.f64 x x (pow.f64 x 3))))
(*.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 (*.f64 x x)) (/.f64 1 x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(+.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 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 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 -1 (pow.f64 x -2)) (+.f64 (/.f64 -1 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))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(+.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 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 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 -1 (pow.f64 x -2)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 0 (/.f64 x (-.f64 (/.f64 1 x) x)))
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 (/.f64 1 x) x)))) 1)
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(*.f64 x (/.f64 1 (-.f64 (/.f64 1 x) x)))
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(*.f64 1 (/.f64 x (-.f64 (/.f64 1 x) x)))
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(*.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) 1)
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (/.f64 1 x) x))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) 1) (-.f64 (/.f64 1 x) x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (-.f64 (/.f64 1 x) x)))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)) (-.f64 (/.f64 1 x) x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) 2))
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(*.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 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 (/.f64 1 x) x))))
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (/.f64 1 x) x))))
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(*.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) x)
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 (/.f64 1 x) x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) 1) (-.f64 (/.f64 1 x) x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (-.f64 (/.f64 1 x) x)))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)) (-.f64 (/.f64 1 x) x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (/.f64 1 x) x)))
(/.f64 x (-.f64 (/.f64 1 x) x))
(/.f64 1 (+.f64 -1 (pow.f64 x -2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (/.f64 x (cbrt.f64 (-.f64 (/.f64 1 x) x))))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2)))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))
(.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))))
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(+.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (/.f64 x (-.f64 1 (*.f64 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)))))
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(+.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (/.f64 x (-.f64 1 (*.f64 x x))))
(log.f64 (.f64 (exp.f64 (/.f64 x (-.f64 1 (.f64 x x)))) (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))
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(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (.f64 x x))))) (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (/.f64 1 x) x))))))
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(+.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (/.f64 x (-.f64 1 (*.f64 x x))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x)))) 3))
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(+.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (/.f64 x (-.f64 1 (*.f64 x x))))
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(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))))
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(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
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(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (.f64 x x))))
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(+.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 (neg.f64 x) (+.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (/.f64 (neg.f64 x) (+.f64 (*.f64 x x) -1)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
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(fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x (/.f64 x (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) x (/.f64 x (-.f64 1 (*.f64 x x))))
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (/.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 (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 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (-.f64 1 (.f64 x 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 1 (+.f64 -1 (pow.f64 x -2))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (.f64 x x))))
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(fma.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (.f64 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)))
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(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
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(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))) (cbrt.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 1 (+.f64 -1 (pow.f64 x -2))))
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(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 (+.f64 -1 (pow.f64 x -2))))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (-.f64 (/.f64 1 x) x)))
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(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)))
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(fma.f64 (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (/.f64 x (-.f64 1 (.f64 x x))))
(fma.f64 (cbrt.f64 (/.f64 x (-.f64 (/.f64 1 x) x))) (/.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (/.f64 x (-.f64 1 (.f64 x x))))
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(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 (pow.f64 x 4)) 1) (/.f64 x (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (+.f64 -1 (pow.f64 x -2))))
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(fma.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (/.f64 1 (+.f64 -1 (pow.f64 x -2))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)) (/.f64 x (-.f64 1 (*.f64 x x))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x -2) (.f64 x x))) (+.f64 x (/.f64 1 x)) (/.f64 x (-.f64 1 (.f64 x x))))
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localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
717×	`add-log-exp_binary64`
717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
701×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	138	14
2	1977	14

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

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

simplify54.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

445×	`fma-neg_binary64`
415×	`associate-/l*_binary64`
369×	`associate-*l/_binary64`
367×	`unswap-sqr_binary64`
357×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	988
1	498	862
2	1683	745
3	7481	745

Stop Event

1×	node limit

Counts

96 → 106

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

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

localize10.0ms (0.4%)

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
0.0ms	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	@	inf	(-.f64 (/.f64 1 x) x)

rewrite50.0ms (2.1%)

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))))))

simplify42.0ms (1.7%)

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)

eval192.0ms (8%)

Compiler: Compiled 11066 to 6995 computations (36.8% saved)

prune84.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	592	2	594
Fresh	0	2	2
Picked	1	0	1
Done	2	2	4
Total	595	6	601

Error

Counts

601 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	0.1b	(/.f64 1 (-.f64 (/.f64 1 x) 1))
▶	31.3b	(+.f64 x (*.f64 x x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) x)
	31.0b	x
	32.3b	-1

Compiler

Compiled 32 to 23 computations (28.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite38.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`pow1_binary64`
488×	`add-sqr-sqrt_binary64`
474×	`add-log-exp_binary64`
473×	`log1p-expm1-u_binary64`
473×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	92	5
2	1386	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

simplify42.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-neg_binary64`
563×	`log-prod_binary64`
497×	`associate-l_binary64`
437×	`associate-r_binary64`
418×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	374
1	211	359
2	683	359
3	4597	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 (.f64 x x) (-.f64 x (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 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 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 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 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (-.f64 x (.f64 x x)) (-.f64 (.f64 x x) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(/.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 (.f64 x x) (pow.f64 x 4)) (-.f64 x (.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x 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 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x 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 (.f64 x x) (-.f64 x (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 x (*.f64 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 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (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)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(.f64 (-.f64 (.f64 x x) (pow.f64 x 4)) (/.f64 1 (-.f64 x (*.f64 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 (fma.f64 x x (-.f64 (pow.f64 x 4) (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 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (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)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (-.f64 x (.f64 x x)) (-.f64 (.f64 x x) (pow.f64 x 4))))
(fma.f64 x x x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (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)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(/.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 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (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)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 x 4)) (-.f64 x (.f64 x x)))
(fma.f64 x x x)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (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)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 x 4))) (neg.f64 (-.f64 x (.f64 x x))))
(fma.f64 x x x)
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (-.f64 (.f64 x 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 (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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 x x x)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite40.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`pow1_binary64`
590×	`add-log-exp_binary64`
589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	133	10
2	1741	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify40.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
360×	`associate-/l/_binary64`
263×	`associate-l_binary64`
254×	`distribute-rgt-in_binary64`
243×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	531
1	230	447
2	688	371
3	3295	371

Stop Event

1×	node limit

Counts

34 → 59

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

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

eval25.0ms (1%)

Compiler: Compiled 1082 to 706 computations (34.8% saved)

prune14.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	104	6	110

Error

Counts

110 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	0.1b	(/.f64 1 (-.f64 (/.f64 1 x) 1))
✓	31.3b	(+.f64 x (*.f64 x x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) x)
	31.0b	x
	32.3b	-1

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes14.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	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 90 to 56 computations (37.8% saved)

regimes11.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch28.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.15950286217172832	78927674.54145509
13.0ms	-0.9283769931404975	-3.843254637936201e-7

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 190 to 133 computations (30% saved)

regimes9.0ms (0.4%)

Accuracy

Total -60.3b remaining (-4090%)

Threshold costs -60.3b (-4090%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
x

Outputs
-1
x
-1

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch26.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.15950286217172832	78927674.54145509
13.0ms	-62378538.523190685	-0.9283769931404975

Results

22.0ms

288×

body

256

valid

Compiler

Compiled 118 to 97 computations (17.8% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	22	44
2	25	44
3	27	44
4	28	44

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 x (*.f64 x x)) -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 x (*.f64 x x)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1

Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness0.0ms (0%)

end28.0ms (1.2%)

Compiler: Compiled 33 to 23 computations (30.3% saved)

Details

analyze3.0ms (0.1%)

sample646.0ms (27%)

preprocess19.0ms (0.8%)

simplify9.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series1.0ms (0.1%)

rewrite40.0ms (1.7%)

simplify41.0ms (1.7%)

eval14.0ms (0.6%)

prune11.0ms (0.4%)

localize8.0ms (0.4%)

series2.0ms (0.1%)

rewrite43.0ms (1.8%)

simplify57.0ms (2.4%)

localize12.0ms (0.5%)

series5.0ms (0.2%)

rewrite63.0ms (2.6%)

simplify79.0ms (3.3%)

localize12.0ms (0.5%)

series1.0ms (0%)

rewrite49.0ms (2%)

simplify46.0ms (1.9%)

localize4.0ms (0.2%)

eval159.0ms (6.7%)

prune71.0ms (3%)

localize17.0ms (0.7%)

series2.0ms (0.1%)

rewrite67.0ms (2.8%)

simplify78.0ms (3.3%)

localize7.0ms (0.3%)

series3.0ms (0.1%)

rewrite46.0ms (1.9%)

simplify54.0ms (2.3%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite50.0ms (2.1%)

simplify42.0ms (1.7%)

eval192.0ms (8%)

prune84.0ms (3.5%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite38.0ms (1.6%)

simplify42.0ms (1.7%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite40.0ms (1.7%)

simplify40.0ms (1.7%)

eval25.0ms (1%)

prune14.0ms (0.6%)

regimes14.0ms (0.6%)

regimes11.0ms (0.5%)

bsearch28.0ms (1.2%)

regimes9.0ms (0.4%)

bsearch26.0ms (1.1%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end28.0ms (1.2%)

Profiling