Details

analyze9.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.8s (33.1%)

Results

540.0ms	1323×	body	1024	valid
528.0ms	1599×	body	512	valid
426.0ms	4203×	body	64	valid
197.0ms	761×	body	256	valid
64.0ms	370×	body	128	valid
0.0ms	2×	body	64	invalid

preprocess22.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

127×	`fma-neg_binary64`
82×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
41×	`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	237	22
6	388	22
7	509	22
8	615	22
9	635	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)))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

127×	`fma-neg_binary64`
82×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
41×	`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	237	22
6	388	22
7	509	22
8	615	22
9	635	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)))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))

prune3.0ms (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

9.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	9.1b	(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))

Compiler

Compiled 63 to 51 computations (19% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x -1))
✓	0.0b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x))
✓	2.0b	(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite107.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`fma-def_binary64`
614×	`log-prod_binary64`
381×	`fma-neg_binary64`
318×	`log-div_binary64`
248×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	289	42
2	4568	42

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

465×	`sub-neg_binary64`
418×	`associate-/l/_binary64`
393×	`fma-neg_binary64`
312×	`times-frac_binary64`
289×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	580
1	215	559
2	587	552
3	1695	549
4	4568	549

Stop Event

1×	node limit

Counts

237 → 242

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

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

prune878.0ms (16.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	239	3	242
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	239	4	243

Error

0.0b

Counts

243 → 4

Alt Table

Status	Error	Program
	26.9b	(/.f64 (fma.f64 (fma.f64 (+.f64 1 x) -2 x) (+.f64 x -1) (.f64 (.f64 x (+.f64 1 x)) 1)) (.f64 (.f64 x (+.f64 1 x)) (+.f64 x -1)))
✓	9.1b	(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
▶	9.7b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3)
	32.0b	(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))

Compiler

Compiled 5665 to 4544 computations (19.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
✓	0.3b	(cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
✓	0.4b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3)
✓	2.0b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))

series14.0ms (0.3%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
1.0ms	x	@	inf	(cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))

rewrite110.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`fma-def_binary64`
402×	`fma-neg_binary64`
318×	`log-div_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	356	81
2	5068	81

Stop Event

1×	node limit

Counts

4 → 302

Calls

Call 1

Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3)
(cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.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) (/.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 -2 x) (/.f64 -1 (-.f64 1 x))))) (/.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))) 2) (-.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (sqrt.f64 (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))) (pow.f64 (+.f64 1 x) -1/2)) (hypot.f64 (sqrt.f64 (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))) 1/6) (.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 -1 (-.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) -2) (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))) 2)) (/.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.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 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))))) 2) 3) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (-.f64 1 x)))) 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simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

613×	`fma-def_binary64`
469×	`associate-/r*_binary64`
403×	`fma-neg_binary64`
395×	`associate-+l+_binary64`
364×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	1161
1	554	1039
2	1817	969
3	6642	941

Stop Event

1×	node limit

Counts

342 → 253

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 (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 (.f64 (cbrt.f64 2) (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)))))) (pow.f64 x 7)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 8/9 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 2) 4))))) (cbrt.f64 2)) (pow.f64 x 7)) (+.f64 (/.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 4))) (.f64 2/3 (/.f64 (-.f64 10/9 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6)))) (cbrt.f64 2))))) (pow.f64 x 9)) (+.f64 (.f64 1/3 (/.f64 (-.f64 10/9 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6)))) (pow.f64 x 9))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 8/27 (/.f64 1 (pow.f64 x 9))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8/9 (/.f64 1 (pow.f64 x 7))) (.f64 2/3 (/.f64 (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 2) 4))))) (*.f64 (pow.f64 (cbrt.f64 2) 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 -1 (/.f64 (-.f64 (.f64 (-.f64 (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))) (.f64 8/9 (/.f64 1 (cbrt.f64 -2)))) (cbrt.f64 -2)) 8/9) (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (-.f64 (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))) (.f64 8/9 (/.f64 1 (cbrt.f64 -2)))) (cbrt.f64 -2)) 8/9) (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -2) 6))) 10/9) (cbrt.f64 -2))) (.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)))) (cbrt.f64 -2)) (+.f64 (.f64 1/3 (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -2) 6))) 10/9)) (.f64 -2/3 (/.f64 (-.f64 (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))) (.f64 8/9 (/.f64 1 (cbrt.f64 -2)))) (pow.f64 (cbrt.f64 -2) 2))))) 8/27) (pow.f64 x 9))) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 (cbrt.f64 2) x)
(+.f64 (/.f64 (cbrt.f64 2) x) (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3)))))
(+.f64 (/.f64 (cbrt.f64 2) x) (+.f64 (.f64 4/9 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 5)))) (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3))))))
(+.f64 (/.f64 (cbrt.f64 2) x) (+.f64 (.f64 4/9 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 5)))) (+.f64 (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3)))) (.f64 1/3 (/.f64 (-.f64 10/9 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6)))) (*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 7)))))))
(*.f64 -1 (/.f64 (cbrt.f64 -2) x))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -2) x)) (.f64 2/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 3)))))
(+.f64 (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -2) x)) (.f64 4/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 5))))))
(+.f64 (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -2) x)) (+.f64 (.f64 4/9 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 5)))) (.f64 -1/3 (/.f64 (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -2) 6))) 10/9) (.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 7)))))))
(/.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 (pow.f64 x 5) (+.f64 x (pow.f64 x 3))) (/.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 (/.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 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 (/.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 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 (.f64 (cbrt.f64 2) (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)))))) (pow.f64 x 7)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 8/9 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 (cbrt.f64 2) (/.f64 (pow.f64 x 7) (+.f64 (/.f64 4/9 (cbrt.f64 2)) (+.f64 (/.f64 4/9 (cbrt.f64 2)) (/.f64 4/9 (pow.f64 (cbrt.f64 2) 4)))))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 8/9 (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 8/9 (pow.f64 x 7)) (.f64 (/.f64 (cbrt.f64 2) (pow.f64 x 7)) (+.f64 (/.f64 4/9 (.f64 2 (cbrt.f64 2))) (*.f64 2 (/.f64 4/9 (cbrt.f64 2))))))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 (+.f64 8/9 (*.f64 (cbrt.f64 2) (/.f64 2/9 (cbrt.f64 2)))) (pow.f64 x 7)) (/.f64 8/9 (pow.f64 x 7)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 2) 4))))) (cbrt.f64 2)) (pow.f64 x 7)) (+.f64 (/.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 4))) (.f64 2/3 (/.f64 (-.f64 10/9 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6)))) (cbrt.f64 2))))) (pow.f64 x 9)) (+.f64 (.f64 1/3 (/.f64 (-.f64 10/9 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6)))) (pow.f64 x 9))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 8/27 (/.f64 1 (pow.f64 x 9))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 8/9 (/.f64 1 (pow.f64 x 7))) (.f64 2/3 (/.f64 (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (+.f64 (.f64 4/9 (/.f64 1 (cbrt.f64 2))) (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 2) 4))))) (*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 9)))))))))))
(+.f64 (/.f64 (cbrt.f64 2) (/.f64 (pow.f64 x 7) (+.f64 (/.f64 4/9 (cbrt.f64 2)) (+.f64 (/.f64 4/9 (cbrt.f64 2)) (/.f64 4/9 (pow.f64 (cbrt.f64 2) 4)))))) (+.f64 (/.f64 (cbrt.f64 2) (/.f64 (pow.f64 x 9) (+.f64 (/.f64 16/27 (pow.f64 (cbrt.f64 2) 4)) (.f64 2/3 (/.f64 (-.f64 10/9 (/.f64 8/27 (pow.f64 (cbrt.f64 2) 6))) (cbrt.f64 2)))))) (fma.f64 1/3 (/.f64 (-.f64 10/9 (/.f64 8/27 (pow.f64 (cbrt.f64 2) 6))) (pow.f64 x 9)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 8/9 (pow.f64 x 7)) (.f64 2/3 (/.f64 (+.f64 (/.f64 4/9 (cbrt.f64 2)) (+.f64 (/.f64 4/9 (cbrt.f64 2)) (/.f64 4/9 (pow.f64 (cbrt.f64 2) 4)))) (*.f64 (pow.f64 x 9) (pow.f64 (cbrt.f64 2) 2)))))) (/.f64 8/27 (pow.f64 x 9)))))))
(+.f64 (.f64 (/.f64 (cbrt.f64 2) (pow.f64 x 7)) (+.f64 (/.f64 4/9 (.f64 2 (cbrt.f64 2))) (.f64 2 (/.f64 4/9 (cbrt.f64 2))))) (+.f64 (.f64 (/.f64 (cbrt.f64 2) (pow.f64 x 9)) (+.f64 (/.f64 16/27 (.f64 2 (cbrt.f64 2))) (/.f64 56/81 (cbrt.f64 2)))) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (fma.f64 2/3 (/.f64 (+.f64 (/.f64 4/9 (.f64 2 (cbrt.f64 2))) (.f64 2 (/.f64 4/9 (cbrt.f64 2)))) (.f64 (pow.f64 x 9) (pow.f64 (cbrt.f64 2) 2))) (/.f64 8/9 (pow.f64 x 7))) (/.f64 8/27 (pow.f64 x 9)))) (/.f64 28/81 (pow.f64 x 9))))))
(+.f64 (/.f64 (+.f64 8/9 (*.f64 (cbrt.f64 2) (/.f64 2/9 (cbrt.f64 2)))) (pow.f64 x 7)) (+.f64 (+.f64 (fma.f64 2/3 (/.f64 (/.f64 (+.f64 (/.f64 2/9 (cbrt.f64 2)) (/.f64 8/9 (cbrt.f64 2))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 x 9)) (/.f64 8/9 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 8/27 (pow.f64 x 9)))) (+.f64 (/.f64 2 (pow.f64 x 3)) (fma.f64 (/.f64 (cbrt.f64 2) (pow.f64 x 9)) (+.f64 (/.f64 8/27 (cbrt.f64 2)) (/.f64 56/81 (cbrt.f64 2))) (/.f64 28/81 (pow.f64 x 9))))))
(+.f64 (/.f64 (+.f64 8/9 (*.f64 (cbrt.f64 2) (/.f64 2/9 (cbrt.f64 2)))) (pow.f64 x 7)) (+.f64 (+.f64 (fma.f64 2/3 (/.f64 (/.f64 (+.f64 (/.f64 2/9 (cbrt.f64 2)) (/.f64 8/9 (cbrt.f64 2))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 x 9)) (/.f64 8/9 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 8/27 (pow.f64 x 9)))) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 80/81 (pow.f64 x 9)) (/.f64 28/81 (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 -1 (/.f64 (-.f64 (.f64 (-.f64 (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))) (.f64 8/9 (/.f64 1 (cbrt.f64 -2)))) (cbrt.f64 -2)) 8/9) (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (.f64 2 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 -2) 4)) (/.f64 8/9 (cbrt.f64 -2))) (cbrt.f64 -2) -8/9) (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) (/.f64 (fma.f64 (cbrt.f64 -2) (+.f64 (/.f64 4/9 (*.f64 -2 (cbrt.f64 -2))) (/.f64 -8/9 (cbrt.f64 -2))) -8/9) (pow.f64 x 7)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (fma.f64 (cbrt.f64 -2) (+.f64 (/.f64 -2/9 (cbrt.f64 -2)) (/.f64 -8/9 (cbrt.f64 -2))) -8/9) (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (+.f64 (*.f64 (cbrt.f64 -2) (/.f64 -2/9 (cbrt.f64 -2))) -16/9) (pow.f64 x 7))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (-.f64 (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))) (.f64 8/9 (/.f64 1 (cbrt.f64 -2)))) (cbrt.f64 -2)) 8/9) (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -2) 6))) 10/9) (cbrt.f64 -2))) (.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)))) (cbrt.f64 -2)) (+.f64 (.f64 1/3 (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -2) 6))) 10/9)) (.f64 -2/3 (/.f64 (-.f64 (.f64 4/9 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))) (.f64 8/9 (/.f64 1 (cbrt.f64 -2)))) (pow.f64 (cbrt.f64 -2) 2))))) 8/27) (pow.f64 x 9))) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 -2) 4)) (/.f64 8/9 (cbrt.f64 -2))) (cbrt.f64 -2) -8/9) (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (fma.f64 -1 (/.f64 (+.f64 (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -2) 6)) -10/9) (cbrt.f64 -2)) (/.f64 16/27 (pow.f64 (cbrt.f64 -2) 4))) (cbrt.f64 -2) (fma.f64 1/3 (+.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -2) 6)) -10/9) (*.f64 -2/3 (/.f64 (-.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 -2) 4)) (/.f64 8/9 (cbrt.f64 -2))) (pow.f64 (cbrt.f64 -2) 2))))) -8/27) (pow.f64 x 9)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (fma.f64 (cbrt.f64 -2) (+.f64 (/.f64 -56/81 (cbrt.f64 -2)) (/.f64 16/27 (.f64 -2 (cbrt.f64 -2)))) (+.f64 (.f64 -2/3 (+.f64 (/.f64 (/.f64 4/9 (.f64 -2 (cbrt.f64 -2))) (pow.f64 (cbrt.f64 -2) 2)) 4/9)) -52/81)) (pow.f64 x 9)))) (/.f64 (fma.f64 (cbrt.f64 -2) (+.f64 (/.f64 4/9 (.f64 -2 (cbrt.f64 -2))) (/.f64 -8/9 (cbrt.f64 -2))) -8/9) (pow.f64 x 7)))
(-.f64 (/.f64 2 (pow.f64 x 5)) (-.f64 (/.f64 (fma.f64 (cbrt.f64 -2) (+.f64 (/.f64 -56/81 (cbrt.f64 -2)) (/.f64 -8/27 (cbrt.f64 -2))) -82/81) (pow.f64 x 9)) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (fma.f64 (cbrt.f64 -2) (+.f64 (/.f64 -2/9 (cbrt.f64 -2)) (/.f64 -8/9 (cbrt.f64 -2))) -8/9) (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (fma.f64 (cbrt.f64 -2) (+.f64 (/.f64 -56/81 (cbrt.f64 -2)) (/.f64 -8/27 (cbrt.f64 -2))) -82/81) (pow.f64 x 9))) (/.f64 (+.f64 (*.f64 (cbrt.f64 -2) (/.f64 -2/9 (cbrt.f64 -2))) -16/9) (pow.f64 x 7))))
(/.f64 (cbrt.f64 2) x)
(+.f64 (/.f64 (cbrt.f64 2) x) (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3)))))
(+.f64 (/.f64 (cbrt.f64 2) x) (/.f64 2/3 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 2) 2))))
(+.f64 (/.f64 (cbrt.f64 2) x) (+.f64 (.f64 4/9 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 5)))) (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3))))))
(+.f64 (/.f64 (cbrt.f64 2) x) (+.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 2) 2))) (/.f64 4/9 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 2) 2)))))
(+.f64 (/.f64 (cbrt.f64 2) x) (+.f64 (/.f64 2/3 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 2) 2))) (/.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 x 5))))
(+.f64 (/.f64 (cbrt.f64 2) x) (+.f64 (.f64 4/9 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 5)))) (+.f64 (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3)))) (.f64 1/3 (/.f64 (-.f64 10/9 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 6)))) (*.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 7)))))))
(+.f64 (/.f64 (cbrt.f64 2) x) (+.f64 (/.f64 4/9 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (/.f64 (-.f64 10/9 (/.f64 8/27 (pow.f64 (cbrt.f64 2) 6))) (.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 2) 2)))))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 2) x) (+.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 2) 2))) (/.f64 28/81 (.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 2) 2))))) (/.f64 4/9 (*.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 2) 2))))
(+.f64 (/.f64 (cbrt.f64 2) x) (+.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 2) 2))) (+.f64 (/.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 x 5)) (/.f64 28/81 (.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 2) 2))))))
(*.f64 -1 (/.f64 (cbrt.f64 -2) x))
(neg.f64 (/.f64 (cbrt.f64 -2) x))
(/.f64 (neg.f64 (cbrt.f64 -2)) x)
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -2) x)) (.f64 2/3 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 (cbrt.f64 -2) x) (/.f64 2/3 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -2) 2))))
(-.f64 (/.f64 2/3 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -2) 2))) (/.f64 (cbrt.f64 -2) x))
(+.f64 (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -2) x)) (.f64 4/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -2) 2))) (fma.f64 -1 (/.f64 (cbrt.f64 -2) x) (/.f64 4/9 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -2) 2)))))
(+.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -2) 2))) (-.f64 (/.f64 4/9 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -2) 2))) (/.f64 (cbrt.f64 -2) x)))
(+.f64 (/.f64 4/9 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -2) 2))) (-.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -2) 2))) (/.f64 (cbrt.f64 -2) x)))
(+.f64 (.f64 2/3 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -2) x)) (+.f64 (.f64 4/9 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 5)))) (.f64 -1/3 (/.f64 (-.f64 (.f64 8/27 (/.f64 1 (pow.f64 (cbrt.f64 -2) 6))) 10/9) (.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 7)))))))
(+.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -2) 2))) (+.f64 (fma.f64 -1 (/.f64 (cbrt.f64 -2) x) (/.f64 4/9 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -2) 2)))) (/.f64 (.f64 -1/3 (+.f64 (/.f64 8/27 (pow.f64 (cbrt.f64 -2) 6)) -10/9)) (.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -2) 2)))))
(+.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -2) 2))) (+.f64 (-.f64 (/.f64 4/9 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -2) 2))) (/.f64 (cbrt.f64 -2) x)) (/.f64 28/81 (*.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -2) 2)))))
(+.f64 (-.f64 (/.f64 4/9 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -2) 2))) (/.f64 (cbrt.f64 -2) x)) (+.f64 (/.f64 2/3 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -2) 2))) (/.f64 28/81 (*.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -2) 2)))))
(/.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 (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 (fma.f64 -1 (*.f64 x x) (neg.f64 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 (/.f64 -2 x) (-.f64 -1 (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 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))) (/.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 (pow.f64 x 4))) (/.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 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))) (/.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 (pow.f64 x 4))) (/.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)))

prune1.1s (20.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	251	2	253
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	252	5	257

Error

0.0b

Counts

257 → 5

Alt Table

Status	Error	Program
	32.0b	(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 (+.f64 8/9 (*.f64 (cbrt.f64 2) (/.f64 2/9 (cbrt.f64 2)))) (pow.f64 x 7)) (/.f64 8/9 (pow.f64 x 7)))))
▶	26.9b	(/.f64 (fma.f64 (fma.f64 (+.f64 1 x) -2 x) (+.f64 x -1) (.f64 (.f64 x (+.f64 1 x)) 1)) (.f64 (.f64 x (+.f64 1 x)) (+.f64 x -1)))
✓	9.7b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3)
	32.2b	(pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 x 3))) 3)
✓	9.1b	(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))

Compiler

Compiled 7303 to 6024 computations (17.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 (fma.f64 (+.f64 1 x) -2 x) (+.f64 x -1) (.f64 (.f64 x (+.f64 1 x)) 1)) (.f64 (.f64 x (+.f64 1 x)) (+.f64 x -1)))
✓	0.0b	(fma.f64 (+.f64 1 x) -2 x)
✓	0.0b	(.f64 (.f64 x (+.f64 1 x)) (+.f64 x -1))
✓	31.2b	(fma.f64 (fma.f64 (+.f64 1 x) -2 x) (+.f64 x -1) (.f64 (.f64 x (+.f64 1 x)) 1))

series8.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite84.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`prod-diff_binary64`
688×	`log-prod_binary64`
432×	`fma-def_binary64`
229×	`expm1-udef_binary64`
229×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	78
1	293	78
2	3893	64

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

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

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac_binary64`
714×	`fma-def_binary64`
460×	`associate-/l*_binary64`
347×	`cancel-sign-sub-inv_binary64`
317×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	364
1	132	349
2	334	339
3	810	338
4	1745	338
5	4250	338

Stop Event

1×	node limit

Counts

218 → 193

Calls

Call 1

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

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

prune407.0ms (7.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	191	2	193
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	194	4	198

Error

0.0b

Counts

198 → 4

Alt Table

Status	Error	Program
	32.0b	(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
✓	9.1b	(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
	32.2b	(pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 x 3))) 3)
▶	0.1b	(/.f64 2 (.f64 (.f64 x (+.f64 1 x)) (+.f64 x -1)))

Compiler

Compiled 6084 to 3801 computations (37.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`log-prod_binary64`
471×	`prod-diff_binary64`
380×	`pow-prod-down_binary64`
352×	`fma-def_binary64`
276×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	227	23
2	3126	16

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

623×	`cancel-sign-sub-inv_binary64`
608×	`distribute-rgt-neg-in_binary64`
566×	`fma-neg_binary64`
548×	`associate-l_binary64`
455×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	289
1	129	265
2	329	264
3	835	263
4	2060	263
5	5871	263

Stop Event

1×	node limit

Counts

104 → 98

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))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)

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))
(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)))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)

prune464.0ms (8.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	166	4	170

Error

0.0b

Counts

170 → 4

Alt Table

Status	Error	Program
	0.0b	(/.f64 2 (-.f64 (pow.f64 x 3) x))
	19.7b	(/.f64 2 (.f64 (/.f64 (.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1)) (+.f64 x -1)))
	0.2b	(/.f64 2 (.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) x) (+.f64 x -1)))
	0.1b	(pow.f64 (/.f64 (/.f64 2 x) (fma.f64 x x -1)) 1)

Compiler

Compiled 2564 to 1493 computations (41.8% saved)

regimes20.0ms (0.4%)

Accuracy

Total -59.0b remaining (-167710.2%)

Threshold costs -59.0b (-167710.2%)

Counts

13 → 1

Calls

Call 1

Inputs
(/.f64 2 (-.f64 (pow.f64 x 3) x))
(/.f64 2 (.f64 (/.f64 (.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1)) (+.f64 x -1)))
(/.f64 2 (.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) x) (+.f64 x -1)))
(pow.f64 (/.f64 (/.f64 2 x) (fma.f64 x x -1)) 1)
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(/.f64 2 (.f64 (.f64 x (+.f64 1 x)) (+.f64 x -1)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 (+.f64 8/9 (*.f64 (cbrt.f64 2) (/.f64 2/9 (cbrt.f64 2)))) (pow.f64 x 7)) (/.f64 8/9 (pow.f64 x 7)))))
(pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 x 3))) 3)
(/.f64 (fma.f64 (fma.f64 (+.f64 1 x) -2 x) (+.f64 x -1) (.f64 (.f64 x (+.f64 1 x)) 1)) (.f64 (.f64 x (+.f64 1 x)) (+.f64 x -1)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3)
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

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

Results

9.0ms	0.0b	`x`
5.0ms	0.0b	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 231 to 180 computations (22.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
2	14	10
3	16	10
4	17	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end15.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 16 to 12 computations (25% saved)

Details

analyze9.0ms (0.2%)

sample1.8s (33.1%)

preprocess22.0ms (0.4%)

simplify13.0ms (0.2%)

prune3.0ms (0%)

localize13.0ms (0.2%)

series5.0ms (0.1%)

rewrite107.0ms (2%)

simplify60.0ms (1.1%)

prune878.0ms (16.5%)

localize11.0ms (0.2%)

series14.0ms (0.3%)

rewrite110.0ms (2.1%)

simplify59.0ms (1.1%)

prune1.1s (20.9%)

localize10.0ms (0.2%)

series8.0ms (0.2%)

rewrite84.0ms (1.6%)

simplify41.0ms (0.8%)

prune407.0ms (7.6%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite51.0ms (1%)

simplify42.0ms (0.8%)

prune464.0ms (8.7%)

regimes20.0ms (0.4%)

simplify2.0ms (0%)

end15.0ms (0.3%)

Profiling