Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	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 17 to 14 computations (17.6% saved)

sample3.0s (30%)

Results

1.4s	5378×	body	256	valid
1.1s	1365×	body	1024	valid
492.0ms	1513×	body	512	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess31.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

127×	`fma-neg_binary64`
82×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	64	22
4	122	22
5	236	22
6	395	22
7	516	22
8	622	22
9	642	22
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

127×	`fma-neg_binary64`
82×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	64	22
4	122	22
5	236	22
6	395	22
7	516	22
8	622	22
9	642	22

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 31 to 25 computations (19.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

8.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 1 x))
✓	0.0b	(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓	0.0b	(/.f64 1 (+.f64 x -1))
✓	2.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))

Compiler

Compiled 48 to 37 computations (22.9% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite119.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`fma-def_binary64`
613×	`log-prod_binary64`
390×	`fma-neg_binary64`
316×	`log-div_binary64`
248×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	289	49
2	4603	49

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

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

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

simplify178.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-neg_binary64`
485×	`sub-neg_binary64`
330×	`fma-def_binary64`
312×	`times-frac_binary64`
253×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	755
1	231	730
2	644	719
3	1938	716
4	5440	713

Stop Event

1×	node limit

Counts

268 → 274

Calls

Call 1

Inputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
-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))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))

Outputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(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 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 (pow.f64 x 3) -1 (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 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 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x 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 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 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 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(/.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 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x 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 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 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 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x -1) (/.f64 2 x))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(+.f64 (-.f64 -1 x) (/.f64 -2 x))
(+.f64 -1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (neg.f64 (*.f64 x x)) (-.f64 (fma.f64 -1 x -1) (/.f64 2 x)))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x 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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.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 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.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 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 x)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(fma.f64 x x (-.f64 1 x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x 3))
(-.f64 1 (*.f64 x (fma.f64 x x (-.f64 1 x))))
(*.f64 (-.f64 1 x) (fma.f64 x x 1))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))))

eval266.0ms (2.6%)

Compiler: Compiled 6131 to 4937 computations (19.5% saved)

prune78.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	262	12	274
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	262	13	275

Error

0.2b

Counts

275 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶	25.1b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	29.8b	(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶	8.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
	24.4b	(/.f64 (fma.f64 -1 (.f64 x (+.f64 x -1)) (.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (.f64 (fma.f64 x -1 -1) (.f64 x (+.f64 x -1))))
▶	30.0b	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
▶	29.8b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
	41.2b	(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	33.8b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
	33.8b	(/.f64 2 (pow.f64 x 3))
	35.6b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
▶	29.2b	(/.f64 -2 x)
	24.6b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 (.f64 x -1/2) (-.f64 1 x))))

Compiler

Compiled 378 to 295 computations (22% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1))
✓	0.0b	(fma.f64 (+.f64 x -1) -2 x)
✓	0.0b	(/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x)
✓	1.5b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))

Compiler

Compiled 62 to 44 computations (29% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log-prod_binary64`
582×	`fma-def_binary64`
325×	`log-div_binary64`
310×	`fma-neg_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	281	65
2	4444	65

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

534×	`fma-neg_binary64`
381×	`associate-/l/_binary64`
377×	`sub-neg_binary64`
274×	`fma-def_binary64`
231×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	599
1	214	560
2	579	553
3	1675	553
4	4662	553

Stop Event

1×	node limit

Counts

245 → 243

Calls

Call 1

Inputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 2)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
-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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
-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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)

Outputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 5) (+.f64 x (pow.f64 x 3))) (/.f64 -2 x))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) x)
(+.f64 (/.f64 -2 x) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (+.f64 (.f64 x x) x)) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x))
(+.f64 -1 (fma.f64 x (-.f64 -1 x) (/.f64 -2 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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x 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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 2)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -2))
(fma.f64 -1 (fma.f64 x x x) -2)
(-.f64 -2 (fma.f64 x x x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (.f64 -1 (+.f64 (.f64 x x) x))) -2)
(+.f64 -2 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)))
(-.f64 (-.f64 -2 (fma.f64 x x x)) (pow.f64 x 3))
(+.f64 -2 (*.f64 x (fma.f64 x (-.f64 -1 x) -1)))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) 1))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) -1)
(+.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) -1))
(+.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) 1))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) -1)
(+.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) -1))
(+.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series4.0ms (0%)

Counts

2 → 15

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 2 (/.f64 1 x))
1.0ms	x	@	0	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
0.0ms	x	@	inf	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
0.0ms	x	@	inf	(*.f64 2 (/.f64 1 x))
0.0ms	x	@	-inf	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
881×	`add-log-exp_binary64`
879×	`log1p-expm1-u_binary64`
879×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	204	12
2	2524	12

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	60
1	8	60

Stop Event

1×

saturated

Counts

82 → 69

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 25 computations (21.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`prod-diff_binary64`
470×	`log-prod_binary64`
447×	`fma-def_binary64`
244×	`fma-neg_binary64`
199×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	232	23
2	3326	23

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg_binary64`
522×	`cancel-sign-sub-inv_binary64`
459×	`associate-l_binary64`
374×	`sub-neg_binary64`
365×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	241
1	89	210
2	243	206
3	713	206
4	2307	204
5	6887	204

Stop Event

1×	node limit

Counts

144 → 136

Calls

Call 1

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

Outputs
(/.f64 -2 x)
(-.f64 (.f64 -1 x) (.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (+.f64 (.f64 -1 x) (pow.f64 x 2)) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 2 x))
(fma.f64 x -1 (fma.f64 x x (/.f64 -2 x)))
(fma.f64 x (+.f64 x -1) (/.f64 -2 x))
(-.f64 (fma.f64 x x (/.f64 -2 x)) x)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 x (*.f64 x x))) (/.f64 2 x))
(+.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (fma.f64 x (+.f64 x -1) (/.f64 -2 x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x (/.f64 -2 x)) x) (pow.f64 x 3))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) (/.f64 -2 x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 -1 (*.f64 x x))) (/.f64 1 x))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (-.f64 (+.f64 -1 (/.f64 -1 (*.f64 x x))) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 1 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 -1 (*.f64 x x))) (/.f64 1 x))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (-.f64 (+.f64 -1 (/.f64 -1 (*.f64 x x))) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 1 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 x -1))
✓	0.4b	(/.f64 1 (-.f64 1 (*.f64 x x)))
✓	6.1b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓	15.1b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x))

Compiler

Compiled 75 to 50 computations (33.3% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
1.0ms	x	@	inf	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
0.0ms	x	@	inf	(/.f64 1 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	0	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x))
0.0ms	x	@	inf	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x))

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`fma-neg_binary64`
363×	`log-div_binary64`
304×	`expm1-udef_binary64`
303×	`log1p-udef_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	360	39
2	5594	39

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

469×	`sub-neg_binary64`
362×	`associate-l_binary64`
311×	`fma-def_binary64`
306×	`associate-r_binary64`
295×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	609
1	223	580
2	633	575
3	1896	575
4	5549	569

Stop Event

1×	node limit

Counts

167 → 173

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))

Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 1 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.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 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.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 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 2 x))
(fma.f64 x -2 (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 (+.f64 1 (*.f64 x x)) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (fma.f64 x x 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(+.f64 (+.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x 4) (pow.f64 x 6)))
(+.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) (pow.f64 x 6)))
(+.f64 (pow.f64 x 4) (+.f64 (fma.f64 x x 1) (pow.f64 x 6)))
(+.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(*.f64 (fma.f64 x x 1) (+.f64 1 (pow.f64 x 4)))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 6)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 8)))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 6)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 8)))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))

eval305.0ms (3%)

Compiler: Compiled 15597 to 11334 computations (27.3% saved)

prune116.0ms (1.1%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	686	18	704
Fresh	5	2	7
Picked	1	0	1
Done	3	2	5
Total	695	22	717

Error

0.2b

Counts

717 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	28.6b	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
▶	29.4b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 2 (+.f64 x -1)) x))
	30.2b	(-.f64 (/.f64 -2 x) x)
	24.6b	(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	41.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
	29.4b	(+.f64 (/.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓	8.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	8.8b	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
	52.6b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 -2 x)))
	33.8b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
	35.6b	(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	61.9b	-1
	24.4b	(/.f64 (fma.f64 -1 (.f64 x (+.f64 x -1)) (.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (.f64 (fma.f64 x -1 -1) (.f64 x (+.f64 x -1))))
	33.8b	(/.f64 2 (pow.f64 x 3))
✓	29.2b	(/.f64 -2 x)
▶	8.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
▶	24.6b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 (.f64 x -1/2) (-.f64 1 x))))
	29.8b	(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶	35.6b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
	30.0b	(-.f64 (*.f64 -2 x) (/.f64 2 x))
	41.2b	(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶	56.7b	(+.f64 -1 (/.f64 -1 x))

Compiler

Compiled 646 to 500 computations (22.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 1 x))
✓	0.0b	(/.f64 (-.f64 2 x) (+.f64 x -1))
✓	0.0b	(/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)
✓	1.5b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))

Compiler

Compiled 50 to 36 computations (28% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
614×	`fma-def_binary64`
378×	`log-div_binary64`
317×	`fma-neg_binary64`
257×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	292	45
2	4772	45

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-neg_binary64`
387×	`associate-/l/_binary64`
371×	`sub-neg_binary64`
270×	`fma-def_binary64`
231×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	538
1	212	517
2	574	510
3	1664	510
4	4619	510

Stop Event

1×	node limit

Counts

214 → 219

Calls

Call 1

Inputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 2)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
-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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
-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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)

Outputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) x)
(+.f64 -1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (+.f64 (.f64 x x) x)) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x 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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4)))))
(/.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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4)))))
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 2)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -2))
(fma.f64 -1 (fma.f64 x x x) -2)
(-.f64 -2 (fma.f64 x x x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (.f64 -1 (+.f64 (.f64 x x) x))) -2)
(fma.f64 (pow.f64 x 3) -1 (fma.f64 -1 (fma.f64 x x x) -2))
(-.f64 (-.f64 -2 (fma.f64 x x x)) (pow.f64 x 3))
(-.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) -1)
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x x)) 1))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) 1))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) -1)))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) -1)
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x x)) 1))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) 1))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) -1)))

localize5.0ms (0.1%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 1 x))
✓	2.8b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))

Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`prod-diff_binary64`
612×	`unpow-prod-down_binary64`
406×	`fma-def_binary64`
392×	`log-prod_binary64`
233×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	182	13
2	2705	13

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

501×	`distribute-neg-frac_binary64`
450×	`associate-l_binary64`
417×	`associate-/r*_binary64`
366×	`distribute-rgt-neg-in_binary64`
347×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	204
1	77	201
2	168	199
3	456	199
4	1472	199
5	5996	199

Stop Event

1×	node limit

Counts

90 → 93

Calls

Call 1

Inputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 -1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))

Outputs
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x)))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x)))))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 2 (+.f64 x -1)) x))
	0.0b	(/.f64 1 (+.f64 1 x))
✓	0.0b	(/.f64 2 (+.f64 x -1))
✓	0.1b	(/.f64 (/.f64 2 (+.f64 x -1)) x)

Compiler

Compiled 41 to 31 computations (24.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log-prod_binary64`
560×	`fma-def_binary64`
314×	`log-div_binary64`
285×	`fma-neg_binary64`
227×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	261	36
2	4091	36

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 2 x) (-.f64 x 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)) (/.f64 (/.f64 2 x) (-.f64 x 1)))) (/.f64 (pow.f64 (/.f64 (/.f64 2 x) (-.f64 x 1)) 2) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (/.f64 2 x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (/.f64 2 x) (-.f64 x 1)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (/.f64 2 x) (-.f64 x 1)) (/.f64 1 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 2 x) (-.f64 x 1)) (/.f64 1 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 2 x) (-.f64 x 1)) (/.f64 1 (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 2 x) (-.f64 x 1)) (/.f64 1 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 (/.f64 (/.f64 2 x) 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simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

794×	`fma-def_binary64`
703×	`fma-neg_binary64`
697×	`times-frac_binary64`
653×	`associate-/l/_binary64`
480×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	571
1	184	553
2	508	549
3	1359	544
4	4191	544

Stop Event

1×	node limit

Counts

195 → 201

Calls

Call 1

Inputs
(/.f64 -2 x)
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -2 x) (+.f64 2 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 x)) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(/.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
-2
(-.f64 (*.f64 -2 x) 2)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 x)) 2)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 2)
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -3 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -3 x) (.f64 -1 (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))

Outputs
(/.f64 -2 x)
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 (.f64 -2 x) (+.f64 2 (.f64 2 (/.f64 1 x))))
(-.f64 (fma.f64 -2 x -2) (/.f64 2 x))
(+.f64 (fma.f64 -2 x -2) (/.f64 -2 x))
(+.f64 -2 (fma.f64 -2 x (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (/.f64 1 x)) -2)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 x)) (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -2 (+.f64 (.f64 x x) x)) (+.f64 2 (/.f64 2 x)))
(+.f64 (fma.f64 -2 (fma.f64 x x x) -2) (/.f64 -2 x))
(-.f64 (fma.f64 -2 (fma.f64 x x x) -2) (/.f64 2 x))
(+.f64 -2 (fma.f64 -2 (fma.f64 x x x) (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))))
-2
(-.f64 (*.f64 -2 x) 2)
(fma.f64 -2 x -2)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 x)) 2)
(+.f64 (.f64 -2 (+.f64 (.f64 x x) x)) -2)
(fma.f64 -2 (fma.f64 x x x) -2)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 2)
(+.f64 (fma.f64 -2 (.f64 x x) (.f64 -2 (+.f64 x (pow.f64 x 3)))) -2)
(+.f64 -2 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -2)
(*.f64 (fma.f64 x x 1) (fma.f64 -2 x -2))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(-.f64 (.f64 -3 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 x -3) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -3 -1) (/.f64 -2 x))
(+.f64 (/.f64 -2 x) (fma.f64 x -3 -1))
(+.f64 -1 (fma.f64 x -3 (/.f64 -2 x)))
(-.f64 (+.f64 (.f64 -3 x) (.f64 -1 (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (fma.f64 -3 x (neg.f64 (*.f64 x x))) (+.f64 1 (/.f64 2 x)))
(fma.f64 x -3 (fma.f64 (*.f64 x x) -1 (+.f64 -1 (/.f64 -2 x))))
(+.f64 (-.f64 -1 (/.f64 2 x)) (*.f64 x (-.f64 -3 x)))
(+.f64 (/.f64 -2 x) (fma.f64 x (-.f64 -3 x) -1))
(/.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 x) (/.f64 (/.f64 1 x) x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.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 3 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (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 x) (/.f64 (/.f64 1 x) x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.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 3 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x -1/2) (-.f64 1 x))
✓	0.0b	(+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1))
✓	1.8b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 (.f64 x -1/2) (-.f64 1 x))))
✓	15.6b	(/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 (.f64 x -1/2) (-.f64 1 x)))

Compiler

Compiled 80 to 61 computations (23.8% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite102.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`fma-neg_binary64`
322×	`log-div_binary64`
261×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
207×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	327	67
2	5474	67

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))) (/.f64 (+.f64 x (.f64 x -1/2)) (.f64 x (+.f64 -1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1/2 (-.f64 1 x)) (/.f64 1 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (.f64 x -1/2))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (.f64 x -1/2))) 2) (cbrt.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) 2) (.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (/.f64 1 (.f64 x (+.f64 -1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (.f64 x -1/2))) (sqrt.f64 (/.f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (-.f64 1 x)) (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (.f64 (sqrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (/.f64 1 (.f64 x (+.f64 -1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 1/2 (-.f64 1 x))) (/.f64 1 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))) (fma.f64 x 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (.f64 x -1/2)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (.f64 x (+.f64 -1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) 1) (/.f64 (sqrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (.f64 x (+.f64 -1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (.f64 x -1/2)) (/.f64 (sqrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (+.f64 -1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) 2) x) (/.f64 (cbrt.f64 (fma.f64 x 1/2 (-.f64 1 x))) (+.f64 -1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 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((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (-.f64 1 x)) (pow.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (pow.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (-.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -1/2))) (exp.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) 1/2) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -1/2))) (+.f64 1 (expm1.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (-.f64 1 x) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 1/2 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -1/2) -1 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 x -1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (.f64 x -1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -1/2)) (sqrt.f64 (.f64 x -1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (+.f64 1 x)) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x))) (-.f64 1 x) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (.f64 x x)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))) (.f64 x -1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/2) (.f64 (neg.f64 x) (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/2) (.f64 (.f64 x -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 x (+.f64 -1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 x 3)) (.f64 x -1/2)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 x x)) (.f64 x -1/2)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x -1/2) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x -1/2) (-.f64 1 (.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 x) 3) (.f64 (pow.f64 x 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 -1/2 (.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 -1/2 (*.f64 x -1/2)))) 1))))))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

684×	`fma-neg_binary64`
632×	`associate-/r*_binary64`
627×	`fma-def_binary64`
468×	`cancel-sign-sub-inv_binary64`
381×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	572
1	191	559
2	486	547
3	1318	528
4	3778	528

Stop Event

1×	node limit

Counts

270 → 259

Calls

Call 1

Inputs
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) 1)
(*.f64 -1/2 x)
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(*.f64 -1/2 x)
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 -1/2 x))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))

Outputs
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(-.f64 -1 (/.f64 2 x))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) x)
(-.f64 (-.f64 -1 x) (/.f64 2 x))
(+.f64 -1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 (+.f64 (.f64 x x) x)) (+.f64 1 (/.f64 2 x)))
(fma.f64 -1 (fma.f64 x x x) (-.f64 -1 (/.f64 2 x)))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x))
(-.f64 (-.f64 -1 (/.f64 2 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x 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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(/.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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 (.f64 x x) 1/2))
(fma.f64 x -1/2 (.f64 x (.f64 x 1/2)))
(.f64 x (+.f64 -1/2 (.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 (.f64 x x) 1/2))
(fma.f64 x -1/2 (.f64 x (.f64 x 1/2)))
(.f64 x (+.f64 -1/2 (.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 (.f64 x x) 1/2))
(fma.f64 x -1/2 (.f64 x (.f64 x 1/2)))
(.f64 x (+.f64 -1/2 (.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 -1/2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 x x) 1/2)
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 (.f64 x x) 1/2))
(fma.f64 x -1/2 (.f64 x (.f64 x 1/2)))
(.f64 x (+.f64 -1/2 (.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 (.f64 x x) 1/2))
(fma.f64 x -1/2 (.f64 x (.f64 x 1/2)))
(.f64 x (+.f64 -1/2 (.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 (.f64 x x) 1/2))
(fma.f64 x -1/2 (.f64 x (.f64 x 1/2)))
(.f64 x (+.f64 -1/2 (.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 -1/2))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 x x) 1/2)
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 (.f64 x x) 1/2))
(fma.f64 x -1/2 (.f64 x (.f64 x 1/2)))
(.f64 x (+.f64 -1/2 (.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 (.f64 x x) 1/2))
(fma.f64 x -1/2 (.f64 x (.f64 x 1/2)))
(.f64 x (+.f64 -1/2 (.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 (.f64 x x) 1/2))
(fma.f64 x -1/2 (.f64 x (.f64 x 1/2)))
(.f64 x (+.f64 -1/2 (.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 -1/2))

eval506.0ms (5%)

Compiler: Compiled 19603 to 14693 computations (25% saved)

prune216.0ms (2.1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	886	9	895
Fresh	6	9	15
Picked	1	0	1
Done	3	3	6
Total	896	21	917

Error

0.2b

Counts

917 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
	24.6b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
	30.2b	(-.f64 (/.f64 -2 x) x)
	24.6b	(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	29.4b	(+.f64 (/.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓	8.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	8.8b	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
▶	61.8b	(/.f64 1 x)
	33.8b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
▶	8.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
	35.6b	(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	33.8b	(/.f64 2 (pow.f64 x 3))
	45.8b	(/.f64 -1 (*.f64 x x))
	61.9b	-1
	24.4b	(/.f64 (fma.f64 -1 (.f64 x (+.f64 x -1)) (.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (.f64 (fma.f64 x -1 -1) (.f64 x (+.f64 x -1))))
✓	29.2b	(/.f64 -2 x)
	41.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
▶	14.3b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 (/.f64 2 (+.f64 x -1)) x))
▶	30.0b	(-.f64 (*.f64 -2 x) (/.f64 2 x))
	52.6b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
✓	8.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))

Compiler

Compiled 586 to 450 computations (23.2% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x)
✓	0.0b	(/.f64 -1 (-.f64 1 x))
✓	0.1b	(*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x))
✓	1.8b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))

Compiler

Compiled 61 to 46 computations (24.6% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite133.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`log-prod_binary64`
559×	`fma-def_binary64`
380×	`log-div_binary64`
298×	`fma-neg_binary64`
268×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	306	58
2	4766	57

Stop Event

1×	node limit

Counts

4 → 212

Calls

Call 1

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

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-neg_binary64`
438×	`sub-neg_binary64`
386×	`associate-/l/_binary64`
290×	`fma-def_binary64`
241×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	716
1	228	688
2	617	677
3	1821	674
4	5110	674

Stop Event

1×	node limit

Counts

260 → 266

Calls

Call 1

Inputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 2)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
-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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
-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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
-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))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))

Outputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 2)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -2))
(fma.f64 -1 (fma.f64 x x x) -2)
(-.f64 -2 (fma.f64 x x x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -2)
(fma.f64 (pow.f64 x 3) -1 (fma.f64 -1 (fma.f64 x x x) -2))
(-.f64 (-.f64 -2 (fma.f64 x x x)) (pow.f64 x 3))
(-.f64 (-.f64 -2 x) (*.f64 x (fma.f64 x x x)))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) -1)
(+.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) -1) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) -1)
(+.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) -1) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(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 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -1)
(+.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 (fma.f64 x x 1) (-.f64 -1 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 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x 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 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(/.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 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x 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 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 -1 (/.f64 2 x))
(-.f64 (.f64 -1 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x -1) (/.f64 2 x))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(+.f64 (-.f64 -1 x) (/.f64 -2 x))
(+.f64 -1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1)) (/.f64 2 x))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(+.f64 (-.f64 -1 (fma.f64 x x x)) (/.f64 -2 x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x x)))
(-.f64 -1 (-.f64 (fma.f64 x x x) (/.f64 -2 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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`pow1_binary64`
764×	`add-log-exp_binary64`
763×	`log1p-expm1-u_binary64`
763×	`expm1-log1p-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	159	8
2	2089	8

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

143×	`fma-neg_binary64`
129×	`fma-def_binary64`
46×	`cancel-sign-sub-inv_binary64`
43×	`associate-/l*_binary64`
42×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	102
1	22	84
2	38	84
3	58	84
4	82	84
5	120	84
6	197	84
7	288	84
8	401	84
9	549	84
10	704	84
11	741	84
12	775	84
13	827	84
14	837	84
15	853	84

Stop Event

1×

saturated

Counts

50 → 41

Calls

Call 1

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

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

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 2 (+.f64 x -1))
	0.1b	(/.f64 (/.f64 2 (+.f64 x -1)) x)
	0.4b	(/.f64 1 (-.f64 1 (*.f64 x x)))
	15.1b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x))

Compiler

Compiled 68 to 44 computations (35.3% saved)

localize82.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 4 (*.f64 x x))
✓	4.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
✓	6.3b	(-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x)))
✓	21.2b	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))

Compiler

Compiled 156 to 119 computations (23.7% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 4 (*.f64 x x))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
0.0ms	x	@	inf	(-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x)))

rewrite143.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

332×	`log1p-udef_binary64`
229×	`add-sqr-sqrt_binary64`
222×	`*-un-lft-identity_binary64`
222×	`pow1_binary64`
216×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	103
1	444	70
2	7679	70

Stop Event

1×	node limit

Counts

4 → 212

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (fma.f64 (/.f64 -2 x) 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) -2 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -2 x))) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -2 x))) (sqrt.f64 (/.f64 -2 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (neg.f64 (/.f64 4 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (/.f64 4 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 3) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 2) (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))) (/.f64 (pow.f64 (/.f64 -2 x) 3) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 2) (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 2) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 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(-.f64 1 x)) (.f64 (+.f64 -1 (neg.f64 x)) -1)) (.f64 (+.f64 -1 (neg.f64 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 -1 (neg.f64 x)) (.f64 (-.f64 1 x) 1)) (.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 -1 (neg.f64 x)) (.f64 (+.f64 x -1) -1)) (.f64 (+.f64 x -1) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -1 (+.f64 -1 (neg.f64 x))) (.f64 (-.f64 1 x) -1)) (.f64 (-.f64 1 x) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 1 x) (+.f64 x -1)) (+.f64 1 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 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) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (+.f64 x -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 4 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (/.f64 1 x) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 16 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -2 x)) (.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 -2 x) (sqrt.f64 (/.f64 -2 x))) (sqrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (/.f64 16 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 -2 x) -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2)) (cbrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 64 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (.f64 4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 64 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 4 (pow.f64 x -2))) 1))))))

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

613×	`fma-neg_binary64`
551×	`cancel-sign-sub-inv_binary64`
541×	`associate-/r*_binary64`
525×	`associate-l_binary64`
416×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	736
1	262	722
2	698	720
3	1939	720
4	5732	720

Stop Event

1×	node limit

Counts

260 → 257

Calls

Call 1

Inputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 -4 (pow.f64 x 2))
(-.f64 (.f64 4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 12 (pow.f64 x 6)) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 4)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(/.f64 8 (pow.f64 x 4))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 6))) (.f64 16 (/.f64 1 (pow.f64 x 8))))))
(/.f64 8 (pow.f64 x 4))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 6))) (.f64 16 (/.f64 1 (pow.f64 x 8))))))
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 7)))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (pow.f64 x 2))

Outputs
(/.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (.f64 -2 (pow.f64 x 3)))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 -4 (pow.f64 x 2))
(/.f64 -4 (*.f64 x x))
(-.f64 (.f64 4 (pow.f64 x 2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 (.f64 x x) 4) (/.f64 4 (*.f64 x x)))
(fma.f64 (.f64 x x) 4 (/.f64 -4 (.f64 x x)))
(.f64 4 (fma.f64 x x (/.f64 -1 (.f64 x x))))
(fma.f64 x (.f64 x 4) (/.f64 -4 (.f64 x x)))
(-.f64 (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 4 (.f64 x x) (.f64 8 (pow.f64 x 4))) (/.f64 4 (*.f64 x x)))
(fma.f64 (.f64 x x) 4 (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (.f64 x x))))
(fma.f64 x (.f64 x 4) (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (.f64 x x))))
(-.f64 (+.f64 (.f64 12 (pow.f64 x 6)) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 4)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 12 (pow.f64 x 6) (fma.f64 4 (.f64 x x) (.f64 8 (pow.f64 x 4)))) (/.f64 4 (*.f64 x x)))
(fma.f64 12 (pow.f64 x 6) (fma.f64 (.f64 x x) 4 (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (.f64 x x)))))
(fma.f64 12 (pow.f64 x 6) (fma.f64 x (.f64 x 4) (fma.f64 8 (pow.f64 x 4) (/.f64 -4 (.f64 x x)))))
(/.f64 8 (pow.f64 x 4))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 12 (pow.f64 x 6)))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 6))) (.f64 16 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))) (/.f64 20 (pow.f64 x 10))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 16 (pow.f64 x 8)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 20 (pow.f64 x 10)))))
(/.f64 8 (pow.f64 x 4))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 12 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 12 (pow.f64 x 6)))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 6))) (*.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 20 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 6))) (.f64 16 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 16 (pow.f64 x 8))) (/.f64 20 (pow.f64 x 10))))
(+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 16 (pow.f64 x 8)) (+.f64 (/.f64 12 (pow.f64 x 6)) (/.f64 20 (pow.f64 x 10)))))
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (+.f64 x (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3))))
(*.f64 -2 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) x))
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(*.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))
(+.f64 (.f64 -2 x) (+.f64 (.f64 -2 (pow.f64 x 5)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 7)))))
(fma.f64 -2 x (fma.f64 -2 (pow.f64 x 5) (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 7)))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (pow.f64 x 7))))
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (pow.f64 x 7)))))
(*.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 (+.f64 (pow.f64 x 5) (pow.f64 x 7)) x)))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))

eval1.4s (13.6%)

Compiler: Compiled 29357 to 22814 computations (22.3% saved)

prune206.0ms (2%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	876	15	891
Fresh	5	8	13
Picked	1	0	1
Done	3	4	7
Total	885	27	912

Error

0.2b

Counts

912 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(-.f64 (/.f64 -2 x) x)
	24.6b	(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	8.1b	(/.f64 (+.f64 (+.f64 1 x) (.f64 (.f64 (/.f64 x (neg.f64 (-.f64 2 x))) (-.f64 1 x)) 1)) (.f64 (.f64 (/.f64 x (neg.f64 (-.f64 2 x))) (-.f64 1 x)) (+.f64 1 x)))
	41.7b	(/.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
	29.4b	(+.f64 (/.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	8.8b	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
	25.8b	(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (*.f64 -2 x) (/.f64 -2 x)))
✓	30.0b	(-.f64 (*.f64 -2 x) (/.f64 2 x))
	11.6b	(/.f64 (+.f64 (/.f64 x (-.f64 2 x)) (.f64 (+.f64 1 x) (/.f64 -1 (-.f64 1 x)))) (.f64 (+.f64 1 x) (/.f64 x (-.f64 2 x))))
	24.6b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (-.f64 2 x)) x))
	46.1b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 (/.f64 2 x) x))
	35.6b	(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	35.5b	(/.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 12 (pow.f64 x 6))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
	45.8b	(/.f64 -1 (*.f64 x x))
	61.9b	-1
	33.8b	(/.f64 2 (pow.f64 x 3))
	41.7b	(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
	35.5b	(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
	41.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
✓	29.2b	(/.f64 -2 x)
	29.2b	(/.f64 (-.f64 (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
	8.1b	(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
	8.0b	(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) 1) (/.f64 (-.f64 2 x) x)))
	52.6b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
✓	61.8b	(/.f64 1 x)
	33.8b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓	8.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))

Compiler

Compiled 536 to 418 computations (22% saved)

regimes225.0ms (2.2%)

Counts

56 → 3

Calls

Call 1

Inputs
-1
(/.f64 1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 -2 x) x)
(+.f64 -1 (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 2 (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) 1) (/.f64 (-.f64 2 x) x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 (/.f64 2 (+.f64 x -1)) x))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 (.f64 x -1/2) (-.f64 1 x))))
(/.f64 (+.f64 (/.f64 x (-.f64 2 x)) (.f64 (+.f64 1 x) (/.f64 -1 (-.f64 1 x)))) (.f64 (+.f64 1 x) (/.f64 x (-.f64 2 x))))
(+.f64 (/.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (+.f64 1 x) (.f64 (.f64 (/.f64 x (neg.f64 (-.f64 2 x))) (-.f64 1 x)) 1)) (.f64 (.f64 (/.f64 x (neg.f64 (-.f64 2 x))) (-.f64 1 x)) (+.f64 1 x)))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (*.f64 -2 x) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 12 (pow.f64 x 6))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (fma.f64 -1 (.f64 x (+.f64 x -1)) (.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (.f64 (fma.f64 x -1 -1) (.f64 x (+.f64 x -1))))

Outputs

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

(/.f64 2 (pow.f64 x 3))

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

Calls

3 calls:

76.0ms	x
68.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
47.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	3	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`
0.2b	3	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 974 to 739 computations (24.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.888609052210118e-31	50.210392190946344
0.0ms	-6.617444900424221e-23	0.0

Compiler

Compiled 20 to 16 computations (20% saved)

regimes239.0ms (2.4%)

Counts

55 → 3

Calls

Call 1

Inputs
-1
(/.f64 1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 -2 x) x)
(+.f64 -1 (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 2 (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) 1) (/.f64 (-.f64 2 x) x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 (/.f64 2 (+.f64 x -1)) x))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 (.f64 x -1/2) (-.f64 1 x))))
(/.f64 (+.f64 (/.f64 x (-.f64 2 x)) (.f64 (+.f64 1 x) (/.f64 -1 (-.f64 1 x)))) (.f64 (+.f64 1 x) (/.f64 x (-.f64 2 x))))
(+.f64 (/.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (+.f64 1 x) (.f64 (.f64 (/.f64 x (neg.f64 (-.f64 2 x))) (-.f64 1 x)) 1)) (.f64 (.f64 (/.f64 x (neg.f64 (-.f64 2 x))) (-.f64 1 x)) (+.f64 1 x)))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (*.f64 -2 x) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
(/.f64 (/.f64 8 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 12 (pow.f64 x 6))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))

Outputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))

Calls

3 calls:

107.0ms	x
69.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
41.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	3	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`
0.2b	3	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 945 to 718 computations (24% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.888609052210118e-31	50.210392190946344
0.0ms	-72.41508716184259	-3.6263598054324733e-20

Compiler

Compiled 20 to 16 computations (20% saved)

regimes299.0ms (3%)

Counts

50 → 3

Calls

Call 1

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

Outputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))

Calls

3 calls:

115.0ms	x
105.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
54.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
0.2b	3	`x`
0.2b	3	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`
0.2b	3	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 874 to 660 computations (24.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.888609052210118e-31	50.210392190946344
0.0ms	-72.41508716184259	-3.6263598054324733e-20

Compiler

Compiled 20 to 16 computations (20% saved)

regimes100.0ms (1%)

Counts

44 → 1

Calls

Call 1

Inputs
-1
(/.f64 1 x)
(/.f64 -2 x)
(/.f64 -1 (*.f64 x x))
(-.f64 (/.f64 -2 x) x)
(+.f64 -1 (/.f64 -1 x))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 2 (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (/.f64 1 x) 1) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) 1) (/.f64 (-.f64 2 x) x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 (/.f64 2 (+.f64 x -1)) x))
(+.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (.f64 (.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 (.f64 x -1/2) (-.f64 1 x))))
(/.f64 (+.f64 (/.f64 x (-.f64 2 x)) (.f64 (+.f64 1 x) (/.f64 -1 (-.f64 1 x)))) (.f64 (+.f64 1 x) (/.f64 x (-.f64 2 x))))
(+.f64 (/.f64 (-.f64 1 (.f64 x x)) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (+.f64 (+.f64 1 x) (.f64 (.f64 (/.f64 x (neg.f64 (-.f64 2 x))) (-.f64 1 x)) 1)) (.f64 (.f64 (/.f64 x (neg.f64 (-.f64 2 x))) (-.f64 1 x)) (+.f64 1 x)))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (*.f64 -2 x) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 (/.f64 2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (/.f64 4 (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))) (.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))

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

Calls

3 calls:

41.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
27.0ms	x
12.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
8.0b	1	`x`
8.0b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`
8.0b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 815 to 614 computations (24.7% saved)

regimes40.0ms (0.4%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
10.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
9.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
8.1b	1	`x`
8.1b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`
8.1b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 305 to 233 computations (23.6% saved)

regimes15.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
8.8b	1	`x`

Compiler

Compiled 164 to 126 computations (23.2% saved)

regimes17.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
13.2b	3	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.027639669428479896	350228792.26923984
21.0ms	-3808397.5679019354	-0.039895893103919736

Compiler

Compiled 20 to 16 computations (20% saved)

regimes14.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
13.2b	3	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.027639669428479896	350228792.26923984
21.0ms	-3808397.5679019354	-0.039895893103919736

Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 -2 x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
29.2b	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Accuracy

Total -0.9b remaining (-1.5%)

Threshold costs -0.9b (-1.5%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(/.f64 1 x)

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
61.8b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	472
1	97	472
2	107	472
3	118	472
4	124	472
5	126	472
6	127	472

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -4253529586511731/85070591730234615865843651857942052864) (/.f64 (fma.f64 -1 (.f64 x (+.f64 x -1)) (.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (.f64 (fma.f64 x -1 -1) (.f64 x (+.f64 x -1)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 178405961588245/178405961588244985132285746181186892047843328) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -50) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 178405961588245/178405961588244985132285746181186892047843328) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -50) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 178405961588245/178405961588244985132285746181186892047843328) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) 1) (/.f64 (-.f64 2 x) x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 (/.f64 -2 x) x) (/.f64 -1 (.f64 x x))))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 497912019754983/18014398509481984) (/.f64 -2 x) (/.f64 -1 (.f64 x x))))
(/.f64 -2 x)
(/.f64 1 x)
-1

Outputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -4253529586511731/85070591730234615865843651857942052864) (/.f64 (fma.f64 -1 (.f64 x (+.f64 x -1)) (.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (.f64 (fma.f64 x -1 -1) (.f64 x (+.f64 x -1)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 178405961588245/178405961588244985132285746181186892047843328) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -4253529586511731/85070591730234615865843651857942052864) (/.f64 (fma.f64 -1 (.f64 x (+.f64 x -1)) (.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (.f64 (.f64 x (+.f64 x -1)) (fma.f64 x -1 -1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 178405961588245/178405961588244985132285746181186892047843328) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -50) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 178405961588245/178405961588244985132285746181186892047843328) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -50) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 178405961588245/178405961588244985132285746181186892047843328) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -50) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 178405961588245/178405961588244985132285746181186892047843328) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -50) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 178405961588245/178405961588244985132285746181186892047843328) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) 1) (/.f64 (-.f64 2 x) x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 (-.f64 2 x) x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(+.f64 1 (-.f64 -1 (/.f64 2 x)))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 (/.f64 -2 x) x) (/.f64 -1 (.f64 x x))))
(if (<=.f64 x -1022308937769047/268435456) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 497912019754983/18014398509481984) (/.f64 -2 x) (/.f64 -1 (.f64 x x))))
(/.f64 -2 x)
(/.f64 1 x)
-1

Compiler

Compiled 334 to 260 computations (22.2% saved)

soundness247.0ms (2.4%)

Algorithm

4×	egg-herbie

Rules

534×	`fma-neg_binary64`
381×	`associate-/l/_binary64`
377×	`sub-neg_binary64`
274×	`fma-def_binary64`
231×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	64	22
4	122	22
5	236	22
6	395	22
7	516	22
8	622	22
9	642	22
0	11	22
1	22	22
2	38	22
3	64	22
4	122	22
5	236	22
6	395	22
7	516	22
8	622	22
9	642	22
0	71	599
1	214	560
2	579	553
3	1675	553
4	4662	553
0	11	22
1	22	22
2	38	22
3	64	22
4	122	22
5	236	22
6	395	22
7	516	22
8	622	22
9	642	22

Stop Event

1×	saturated
1×	node limit
1×	saturated
1×	saturated

Compiler

Compiled 462 to 378 computations (18.2% saved)

end292.0ms (2.9%)

Compiler: Compiled 324 to 249 computations (23.1% saved)

Iter	Nodes	Cost
0	10	102
1	22	84
2	38	84
3	58	84
4	82	84
5	120	84
6	197	84
7	288	84
8	401	84
9	549	84
10	704	84
11	741	84
12	775	84
13	827	84
14	837	84
15	853	84

Iter	Nodes	Cost
0	10	102
1	22	84
2	38	84
3	58	84
4	82	84
5	120	84
6	197	84
7	288	84
8	401	84
9	549	84
10	704	84
11	741	84
12	775	84
13	827	84
14	837	84
15	853	84

Iter	Nodes	Cost
0	10	102
1	22	84
2	38	84
3	58	84
4	82	84
5	120	84
6	197	84
7	288	84
8	401	84
9	549	84
10	704	84
11	741	84
12	775	84
13	827	84
14	837	84
15	853	84