Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
75%	75%	25%	0%	0%	0%	0%	5
87.5%	87.5%	12.5%	0%	0%	0%	0%	6
93.8%	93.7%	6.2%	0%	0%	0%	0%	7
96.9%	96.8%	3.1%	0%	0%	0%	0%	8
98.4%	98.4%	1.6%	0%	0%	0%	0%	9
99.2%	99.2%	0.8%	0%	0%	0%	0%	10
99.6%	99.6%	0.4%	0%	0%	0%	0%	11
99.8%	99.8%	0.2%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample904.0ms (32.2%)

Results

894.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 9 computations (25% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite47.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
793×	`add-log-exp_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
777×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	159	14
2	2232	14

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

Outputs

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

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

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg_binary64`
417×	`unswap-sqr_binary64`
357×	`fma-def_binary64`
305×	`times-frac_binary64`
280×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1082
1	448	916
2	1351	771
3	5403	771

Stop Event

1×	node limit

Counts

79 → 126

Calls

Call 1

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

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

eval50.0ms (1.8%)

Compiler: Compiled 2074 to 1501 computations (27.6% saved)

prune20.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	6	127

Error

Counts

127 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	0b	(+.f64 (/.f64 1 (-.f64 x 1)) (+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1)))
▶	32.6b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶	30.7b	(+.f64 (/.f64 1 (-.f64 x 1)) 1)
▶	30.4b	(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
▶	32.2b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 116 to 89 computations (23.3% saved)

localize21.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x 1))
	0.0b	(/.f64 1 (-.f64 x 1))
✓	2.2b	(+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1))
✓	4.4b	(-.f64 (/.f64 x (+.f64 x 1)) 1)

Compiler

Compiled 50 to 37 computations (26% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite52.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
870×	`add-log-exp_binary64`
870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	170	17
2	2637	17

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

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

Outputs

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

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

simplify55.0ms (2%)

Algorithm

1×	egg-herbie

Rules

899×	`fma-neg_binary64`
477×	`unswap-sqr_binary64`
437×	`distribute-rgt-in_binary64`
248×	`distribute-rgt-neg-in_binary64`
225×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	1809
1	612	1719
2	2371	1685

Stop Event

1×	node limit

Counts

122 → 165

Calls

Call 1

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

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

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (-.f64 x 1))
✓	2.2b	(+.f64 (/.f64 1 (-.f64 x 1)) 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 (/.f64 1 (-.f64 x 1)) 1)
0.0ms	x	@	inf	(+.f64 (/.f64 1 (-.f64 x 1)) 1)
0.0ms	x	@	-inf	(+.f64 (/.f64 1 (-.f64 x 1)) 1)

rewrite42.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
648×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	138	10
2	1910	10

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify45.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-neg_binary64`
486×	`associate-/r*_binary64`
464×	`cancel-sign-sub-inv_binary64`
295×	`associate-l_binary64`
277×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	653
1	249	626
2	725	556
3	3463	549

Stop Event

1×	node limit

Counts

42 → 63

Calls

Call 1

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

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

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
710×	`add-log-exp_binary64`
709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	138	10
2	1979	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

406×	`div-sub_binary64`
359×	`associate-l_binary64`
310×	`associate-r_binary64`
307×	`fma-def_binary64`
238×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	799
1	280	687
2	859	598
3	4688	597

Stop Event

1×	node limit

Counts

45 → 64

Calls

Call 1

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

Outputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(-.f64 -1 (*.f64 x x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (neg.f64 (pow.f64 x 3)) (fma.f64 -1 (*.f64 x x) -1))
(fma.f64 -1 (+.f64 (pow.f64 x 3) (*.f64 x x)) -1)
(-.f64 -1 (*.f64 x (fma.f64 x x x)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (.f64 -1 (+.f64 (.f64 x x) (pow.f64 x 4)))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 3)))
(fma.f64 -1 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)) -1)
(-.f64 -1 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))
(+.f64 x (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) x)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (+.f64 x (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 x (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 x (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 x (/.f64 1 (pow.f64 x 3)))))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))
(+.f64 x (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) x)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (+.f64 x (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 x (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 x (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 x (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (+.f64 x (/.f64 1 (+.f64 x -1)))) 1)
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 1 (+.f64 x -1)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1 (+.f64 x -1)) x)))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(*.f64 1 (+.f64 x (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(*.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 1)
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) 2))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (.f64 x x) (/.f64 x (+.f64 x -1))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 -1 x) -2) (.f64 x x)) (/.f64 x (+.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (-.f64 (fma.f64 x x (pow.f64 (+.f64 -1 x) -2)) (/.f64 x (+.f64 -1 x))))
(.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (.f64 x x)) (/.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) x)))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 -1 x) -2) (.f64 x x)) (/.f64 x (+.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (-.f64 (fma.f64 x x (pow.f64 (+.f64 -1 x) -2)) (/.f64 x (+.f64 -1 x))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 (+.f64 x -1)) x) (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 x x))))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 -1 x) -2) (.f64 x x)) (/.f64 x (+.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (-.f64 (fma.f64 x x (pow.f64 (+.f64 -1 x) -2)) (/.f64 x (+.f64 -1 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (+.f64 x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 -1 x) -2) (.f64 x x)) (/.f64 x (+.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (-.f64 (fma.f64 x x (pow.f64 (+.f64 -1 x) -2)) (/.f64 x (+.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 x x)) (-.f64 (/.f64 1 (+.f64 x -1)) x))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x -1))))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 -1 x) -2) (.f64 x x)) (/.f64 x (+.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) -3)) (-.f64 (fma.f64 x x (pow.f64 (+.f64 -1 x) -2)) (/.f64 x (+.f64 -1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 1 (+.f64 x -1)) x)))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x -1) -2)) (-.f64 x (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(pow.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 1)
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(pow.f64 (pow.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 3) 1/3)
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) 3)
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) 2)
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 2))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(log.f64 (exp.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 3))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(exp.f64 (log.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(fma.f64 1 x (/.f64 1 (+.f64 x -1)))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) x)
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 (+.f64 x -1)))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) x)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 -1 x))) x)
(+.f64 x (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)) (cbrt.f64 (+.f64 -1 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 (+.f64 x -1)))
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.f64 1 (+.f64 -1 x)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) x)
(+.f64 (+.f64 (+.f64 1 x) (/.f64 1 (+.f64 -1 x))) -1)
(+.f64 (+.f64 x (/.f64 1 (+.f64 -1 x))) 0)
(+.f64 x (/.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) (/.f64 x (+.f64 x 1)))
	0.0b	(/.f64 x (+.f64 x 1))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`fma-def_binary64`
413×	`log-prod_binary64`
319×	`exp-prod_binary64`
314×	`pow-prod-down_binary64`
239×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	185	13
2	2927	13

Stop Event

1×	node limit

Counts

1 → 92

Calls

Call 1

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

Outputs

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

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-def_binary64`
547×	`distribute-rgt-in_binary64`
506×	`distribute-lft-in_binary64`
268×	`times-frac_binary64`
265×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	2278
1	740	2245
2	2120	2191

Stop Event

1×	node limit

Counts

104 → 167

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

399×	`log-prod_binary64`
391×	`fma-def_binary64`
379×	`prod-exp_binary64`
303×	`exp-prod_binary64`
296×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	167	13
2	2669	13

Stop Event

1×	node limit

Counts

1 → 87

Calls

Call 1

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

Outputs

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

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

861×	`fma-neg_binary64`
465×	`times-frac_binary64`
431×	`fma-def_binary64`
290×	`associate-/r*_binary64`
249×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	1864
1	640	1796
2	1650	1699
3	6405	1699

Stop Event

1×	node limit

Counts

99 → 128

Calls

Call 1

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

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

eval309.0ms (11%)

Compiler: Compiled 16170 to 11844 computations (26.8% saved)

prune206.0ms (7.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	961	4	965
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	962	9	971

Error

Counts

971 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.3b	(-.f64 -1 (*.f64 x x))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	0b	(+.f64 (/.f64 1 (-.f64 x 1)) (+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1)))
✓	32.6b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	30.4b	(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
✓	32.2b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
▶	31.2b	(+.f64 1 (/.f64 1 (*.f64 x x)))
	30.9b	1
	33.0b	-1

Compiler

Compiled 74 to 56 computations (24.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (*.f64 x x))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite36.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`pow1_binary64`
391×	`add-sqr-sqrt_binary64`
382×	`*-un-lft-identity_binary64`
377×	`add-log-exp_binary64`
376×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	4
2	1163	4

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify39.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

609×	`unswap-sqr_binary64`
580×	`associate-/l/_binary64`
341×	`associate-/r/_binary64`
300×	`times-frac_binary64`
213×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	467
1	260	317
2	791	306
3	4224	282

Stop Event

1×	node limit

Counts

50 → 57

Calls

Call 1

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

Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(+.f64 0 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (.f64 (cbrt.f64 x) x) -1))
(.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (.f64 x (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 -1 (/.f64 1 (neg.f64 (.f64 x x))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (.f64 (sqrt.f64 x) x) -1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 1 1/3) (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))
(pow.f64 (pow.f64 (cbrt.f64 x) -2) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2))
(pow.f64 (pow.f64 (cbrt.f64 x) -2) 3)
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) -2) (pow.f64 (fabs.f64 (cbrt.f64 x)) -2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) -2) (pow.f64 (cbrt.f64 x) -2))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) -1) (/.f64 1 (sqrt.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (cbrt.f64 x) -1))
(.f64 (/.f64 1 (.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (*.f64 x (cbrt.f64 x)))
(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 3) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 x -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 x -2) 3)) 1/3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x x) -2) (/.f64 1 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (/.f64 1 x) (pow.f64 (*.f64 x x) -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -4) x)) (cbrt.f64 (/.f64 1 x)))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x x) -2) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 (*.f64 x x) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 x -4))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 2) 3) (cbrt.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (*.f64 x x) -2) 1/2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (neg.f64 (neg.f64 (*.f64 x x))) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (pow.f64 (*.f64 x x) -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 -2 (log.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval15.0ms (0.5%)

Compiler: Compiled 670 to 520 computations (22.4% saved)

prune10.0ms (0.3%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	6	6
Total	57	9	66

Error

Counts

66 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.3b	(-.f64 -1 (*.f64 x x))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	0b	(+.f64 (/.f64 1 (-.f64 x 1)) (+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1)))
✓	32.6b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	30.4b	(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
✓	32.2b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
✓	31.2b	(+.f64 1 (/.f64 1 (*.f64 x x)))
	30.9b	1
	33.0b	-1

Compiler

Compiled 74 to 56 computations (24.3% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	7	7
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.3b	(-.f64 -1 (*.f64 x x))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	0b	(+.f64 (/.f64 1 (-.f64 x 1)) (+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1)))
✓	32.6b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	30.4b	(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
✓	32.2b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
✓	31.2b	(+.f64 1 (/.f64 1 (*.f64 x x)))
	30.9b	1
	33.0b	-1

Compiler

Compiled 74 to 56 computations (24.3% saved)

regimes11.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
2.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Results

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

Compiler

Compiled 87 to 63 computations (27.6% saved)

regimes12.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
2.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Results

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

Compiler

Compiled 72 to 51 computations (29.2% saved)

regimes21.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 49 to 34 computations (30.6% saved)

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.021178634869179175	19179584026616.53
14.0ms	-83.50454506509074	-0.10489495465938461

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 332 to 250 computations (24.7% saved)

regimes16.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 40 to 28 computations (30% saved)

bsearch31.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.021178634869179175	19179584026616.53
14.0ms	-83.50454506509074	-0.10489495465938461

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 316 to 242 computations (23.4% saved)

regimes14.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch31.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.021178634869179175	19179584026616.53
14.0ms	-83.50454506509074	-0.10489495465938461

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 244 to 188 computations (23% saved)

regimes11.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch33.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.021178634869179175	19179584026616.53
15.0ms	-83.50454506509074	-0.10489495465938461

Results

30.0ms

288×

body

256

valid

Compiler

Compiled 196 to 156 computations (20.4% saved)

regimes9.0ms (0.3%)

Accuracy

Total -62.1b remaining (-6700.1%)

Threshold costs -62.1b (-6700.1%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch30.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.021178634869179175	19179584026616.53
14.0ms	-83.50454506509074	-0.10489495465938461

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 124 to 120 computations (3.2% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	180
1	53	180
2	62	180
3	66	180
4	68	180

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -2589569785738035/2251799813685248) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1))
(if (<=.f64 x -8106479329266893/4503599627370496) (+.f64 1 (/.f64 1 (*.f64 x x))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1))
(if (<=.f64 x -1) (+.f64 1 (/.f64 1 (.f64 x x))) (if (<=.f64 x 1) (-.f64 -1 (.f64 x x)) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) (-.f64 -1 (*.f64 x x)) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1

Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (+.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 1 (+.f64 (/.f64 x (+.f64 1 x)) -1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(if (<=.f64 x -2589569785738035/2251799813685248) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1))
(if (<=.f64 x -2589569785738035/2251799813685248) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x)) (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) 1))
(if (<=.f64 x -8106479329266893/4503599627370496) (+.f64 1 (/.f64 1 (*.f64 x x))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1))
(if (<=.f64 x -8106479329266893/4503599627370496) (+.f64 1 (/.f64 1 (*.f64 x x))) (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) 1))
(if (<=.f64 x -1) (+.f64 1 (/.f64 1 (.f64 x x))) (if (<=.f64 x 1) (-.f64 -1 (.f64 x x)) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) (-.f64 -1 (*.f64 x x)) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1

Compiler

Compiled 134 to 100 computations (25.4% saved)

soundness108.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg_binary64`
417×	`unswap-sqr_binary64`
357×	`fma-def_binary64`
305×	`times-frac_binary64`
280×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1082
1	448	916
2	1351	771
3	5403	771

Stop Event

1×	node limit

Compiler

Compiled 30 to 24 computations (20% saved)

end108.0ms (3.8%)

Compiler: Compiled 127 to 91 computations (28.3% saved)

Details

analyze6.0ms (0.2%)

sample904.0ms (32.2%)

preprocess15.0ms (0.5%)

simplify8.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.5%)

series2.0ms (0.1%)

rewrite47.0ms (1.7%)

simplify54.0ms (1.9%)

eval50.0ms (1.8%)

prune20.0ms (0.7%)

localize21.0ms (0.7%)

series2.0ms (0.1%)

rewrite52.0ms (1.8%)

simplify55.0ms (2%)

localize7.0ms (0.3%)

series1.0ms (0%)

rewrite42.0ms (1.5%)

simplify45.0ms (1.6%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite41.0ms (1.5%)

simplify48.0ms (1.7%)

localize10.0ms (0.4%)

series1.0ms (0%)

rewrite52.0ms (1.8%)

simplify57.0ms (2%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite56.0ms (2%)

simplify71.0ms (2.5%)

eval309.0ms (11%)

prune206.0ms (7.3%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite36.0ms (1.3%)

simplify39.0ms (1.4%)

localize4.0ms (0.1%)

eval15.0ms (0.5%)

prune10.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes11.0ms (0.4%)

regimes12.0ms (0.4%)

regimes21.0ms (0.7%)

bsearch32.0ms (1.1%)

regimes16.0ms (0.6%)

bsearch31.0ms (1.1%)

regimes14.0ms (0.5%)

bsearch31.0ms (1.1%)

regimes11.0ms (0.4%)

bsearch33.0ms (1.2%)

regimes9.0ms (0.3%)

bsearch30.0ms (1.1%)

simplify7.0ms (0.3%)

soundness108.0ms (3.9%)

end108.0ms (3.8%)

Profiling