Details

analyze6.0ms (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)

sample1.1s (12.3%)

Results

546.0ms	5377×	body	256	valid
324.0ms	1364×	body	1024	valid
257.0ms	1515×	body	512	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess29.0ms (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)

simplify18.0ms (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

11.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x -1))
✓	0.0b	(/.f64 1 (+.f64 1 x))
✓	0.0b	(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓	3.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))

Compiler

Compiled 48 to 37 computations (22.9% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite96.0ms (1%)

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

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-neg_binary64`
487×	`sub-neg_binary64`
328×	`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	1936	716
4	5432	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))))))
(/.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))))
-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 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 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 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 (+.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 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 3)) (/.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 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.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 (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 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.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 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.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 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.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 (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 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4))))
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))
(-.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 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(*.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 (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 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 -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 (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 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.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 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 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))

eval120.0ms (1.3%)

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

prune52.0ms (0.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	256	18	274
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	256	19	275

Error

0.1b

Counts

275 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(fma.f64 (fma.f64 (+.f64 x -1) -2 x) (/.f64 1 (*.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))
▶	36.9b	(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3) 1/3)
▶	11.8b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))) 3)
	27.2b	(/.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))))
	30.7b	(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
	30.0b	(/.f64 2 (pow.f64 x 3))
▶	33.5b	(/.f64 -2 x)
	34.4b	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
	29.5b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
	29.4b	(+.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)))))
▶	28.3b	(+.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))))
	27.6b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (/.f64 (*.f64 x (+.f64 x -1)) (fma.f64 (+.f64 x -1) -2 x))))
	36.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
✓	11.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	34.5b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (-.f64 -1 x) (/.f64 -2 x)))
▶	34.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
	35.9b	(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	28.3b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	34.0b	(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))

Compiler

Compiled 632 to 505 computations (20.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))
✓	0.2b	(cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))))
✓	0.4b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))) 3)
✓	3.3b	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))

Compiler

Compiled 83 to 66 computations (20.5% saved)

series11.0ms (0.1%)

Counts

4 → 40

Calls

12 calls:

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

rewrite123.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`fma-def_binary64`
400×	`fma-neg_binary64`
318×	`log-div_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	356	81
2	5094	81

Stop Event

1×	node limit

Counts

4 → 302

Calls

Call 1

Inputs
(+.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))))) 3)
(cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
464×	`associate-/r*_binary64`
387×	`associate-+l+_binary64`
364×	`unswap-sqr_binary64`
343×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	1161
1	555	1039
2	1827	969
3	6645	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)
(-.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))))

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

localize3.0ms (0%)

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

localize12.0ms (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	@	0	(+.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))

rewrite100.0ms (1.1%)

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

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

((#(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)))))

simplify66.0ms (0.7%)

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))

localize29.0ms (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))
✓	2.3b	(+.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))))
✓	15.7b	(/.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)

series16.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(/.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 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))
1.0ms	x	@	-inf	(.f64 (.f64 x -1/2) (-.f64 1 x))
1.0ms	x	@	0	(/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 (.f64 x -1/2) (-.f64 1 x)))

rewrite101.0ms (1.1%)

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

simplify90.0ms (1%)

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))

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))
✓	0.1b	(pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3)
	3.3b	(+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))
✓	18.5b	(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3) 1/3)

Compiler

Compiled 86 to 69 computations (19.8% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3) 1/3)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3) 1/3)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3) 1/3)
1.0ms	x	@	inf	(pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3)
0.0ms	x	@	-inf	(pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3)

rewrite106.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`fma-def_binary64`
403×	`fma-neg_binary64`
291×	`expm1-udef_binary64`
291×	`log1p-udef_binary64`
235×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	386	47
2	5334	47

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

861×	`fma-def_binary64`
599×	`associate-/l*_binary64`
596×	`times-frac_binary64`
572×	`associate-l_binary64`
483×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	589
1	301	554
2	893	552
3	2622	538

Stop Event

1×	node limit

Counts

166 → 178

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 -8) x)
(+.f64 (*.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2))) (/.f64 (cbrt.f64 -8) x))
(+.f64 (.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -8) 2))) (/.f64 (cbrt.f64 -8) x)))
(+.f64 (.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -8) 2))) (+.f64 (/.f64 (cbrt.f64 -8) x) (.f64 1/3 (/.f64 (.f64 (-.f64 (*.f64 512 (/.f64 1 (pow.f64 (cbrt.f64 -8) 6))) 32) (pow.f64 x 5)) (pow.f64 (cbrt.f64 -8) 2))))))
(/.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 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3)))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (.f64 8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5)))))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5)))) (.f64 8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7))))))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 512 (/.f64 1 (pow.f64 (cbrt.f64 -8) 6))) 32) (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 9)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7)))))))
(/.f64 -8 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 24 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 -48 x) (+.f64 (.f64 24 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 -48 x) (.f64 -80 (pow.f64 x 3))) (+.f64 (.f64 24 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 3)))))
(/.f64 8 (pow.f64 x 9))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (.f64 8 (/.f64 1 (pow.f64 x 9))))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (+.f64 (.f64 48 (/.f64 1 (pow.f64 x 13))) (*.f64 8 (/.f64 1 (pow.f64 x 9)))))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (+.f64 (.f64 48 (/.f64 1 (pow.f64 x 13))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 9))) (.f64 80 (/.f64 1 (pow.f64 x 15))))))
(/.f64 8 (pow.f64 x 9))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (.f64 8 (/.f64 1 (pow.f64 x 9))))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (+.f64 (.f64 48 (/.f64 1 (pow.f64 x 13))) (*.f64 8 (/.f64 1 (pow.f64 x 9)))))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (+.f64 (.f64 48 (/.f64 1 (pow.f64 x 13))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 9))) (.f64 80 (/.f64 1 (pow.f64 x 15))))))

Outputs
(/.f64 (cbrt.f64 -8) x)
(+.f64 (*.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2))) (/.f64 (cbrt.f64 -8) x))
(fma.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2)) (/.f64 (cbrt.f64 -8) x))
(+.f64 (.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -8) 2))) (/.f64 (cbrt.f64 -8) x)))
(fma.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -8) 2)) (/.f64 (cbrt.f64 -8) x)))
(fma.f64 -8 (+.f64 (/.f64 x (pow.f64 (cbrt.f64 -8) 2)) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -8) 2))) (/.f64 (cbrt.f64 -8) x))
(+.f64 (/.f64 (cbrt.f64 -8) x) (*.f64 (/.f64 -8 (pow.f64 (cbrt.f64 -8) 2)) (+.f64 x (pow.f64 x 3))))
(+.f64 (.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -8) 2))) (+.f64 (/.f64 (cbrt.f64 -8) x) (.f64 1/3 (/.f64 (.f64 (-.f64 (*.f64 512 (/.f64 1 (pow.f64 (cbrt.f64 -8) 6))) 32) (pow.f64 x 5)) (pow.f64 (cbrt.f64 -8) 2))))))
(fma.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2)) (+.f64 (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -8) 2)) (/.f64 (cbrt.f64 -8) x)) (*.f64 1/3 (/.f64 (+.f64 (/.f64 512 (pow.f64 (cbrt.f64 -8) 6)) -32) (/.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5))))))
(+.f64 (fma.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -8) 2)) (/.f64 (cbrt.f64 -8) x))) (/.f64 -8 (/.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5))))
(+.f64 (/.f64 (cbrt.f64 -8) x) (fma.f64 -8 (+.f64 (/.f64 x (pow.f64 (cbrt.f64 -8) 2)) (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -8) 2))) (*.f64 (/.f64 -8 (pow.f64 (cbrt.f64 -8) 2)) (pow.f64 x 5))))
(+.f64 (fma.f64 -8 (/.f64 x (pow.f64 (cbrt.f64 -8) 2)) (/.f64 (cbrt.f64 -8) x)) (*.f64 (/.f64 -8 (pow.f64 (cbrt.f64 -8) 2)) (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(/.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 9)) (/.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 (/.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 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3)))
(neg.f64 (/.f64 (cbrt.f64 -8) (pow.f64 x 3)))
(/.f64 (neg.f64 (cbrt.f64 -8)) (pow.f64 x 3))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (.f64 8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5)))))
(fma.f64 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3)) (/.f64 8 (*.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5))))
(-.f64 (/.f64 (/.f64 8 (pow.f64 (cbrt.f64 -8) 2)) (pow.f64 x 5)) (/.f64 (cbrt.f64 -8) (pow.f64 x 3)))
(-.f64 (/.f64 8 (*.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5))) (/.f64 (cbrt.f64 -8) (pow.f64 x 3)))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5)))) (.f64 8 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7))))))
(+.f64 (fma.f64 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3)) (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5)))) (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 (/.f64 8 (pow.f64 (cbrt.f64 -8) 2)) (pow.f64 x 5)) (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (/.f64 (/.f64 8 (pow.f64 (cbrt.f64 -8) 2)) (pow.f64 x 7)))
(+.f64 (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5))) (-.f64 (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7))) (/.f64 (cbrt.f64 -8) (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5))) (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7))))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 512 (/.f64 1 (pow.f64 (cbrt.f64 -8) 6))) 32) (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 9)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5)))) (.f64 8 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7)))))))
(fma.f64 -1 (/.f64 (cbrt.f64 -8) (pow.f64 x 3)) (fma.f64 -1/3 (/.f64 (+.f64 (/.f64 512 (pow.f64 (cbrt.f64 -8) 6)) -32) (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 9))) (+.f64 (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5))) (/.f64 8 (*.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7))))))
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 8 (pow.f64 (cbrt.f64 -8) 2)) (pow.f64 x 5)) (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (/.f64 (/.f64 8 (pow.f64 (cbrt.f64 -8) 2)) (pow.f64 x 7))) (/.f64 (/.f64 8 (pow.f64 (cbrt.f64 -8) 2)) (pow.f64 x 9)))
(+.f64 (-.f64 (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5))) (/.f64 (cbrt.f64 -8) (pow.f64 x 3))) (+.f64 (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7))) (/.f64 8 (*.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 9)))))
(+.f64 (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 7))) (+.f64 (/.f64 8 (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 5))) (-.f64 (/.f64 (/.f64 8 (pow.f64 x 9)) (pow.f64 (cbrt.f64 -8) 2)) (/.f64 (cbrt.f64 -8) (pow.f64 x 3)))))
(/.f64 -8 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 24 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 24 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 -24 x) (/.f64 -8 (pow.f64 x 3)))
(-.f64 (.f64 -48 x) (+.f64 (.f64 24 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 x -48) (+.f64 (/.f64 24 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (fma.f64 x -48 (/.f64 -24 x)) (/.f64 -8 (pow.f64 x 3)))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (fma.f64 x -48 (/.f64 -24 x)))
(-.f64 (+.f64 (.f64 -48 x) (.f64 -80 (pow.f64 x 3))) (+.f64 (.f64 24 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (fma.f64 -48 x (*.f64 (pow.f64 x 3) -80)) (+.f64 (/.f64 24 x) (/.f64 8 (pow.f64 x 3))))
(fma.f64 x -48 (fma.f64 (pow.f64 x 3) -80 (+.f64 (/.f64 -24 x) (/.f64 -8 (pow.f64 x 3)))))
(fma.f64 x -48 (+.f64 (fma.f64 (pow.f64 x 3) -80 (/.f64 -24 x)) (/.f64 -8 (pow.f64 x 3))))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (fma.f64 x -48 (fma.f64 (pow.f64 x 3) -80 (/.f64 -24 x))))
(/.f64 8 (pow.f64 x 9))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (.f64 8 (/.f64 1 (pow.f64 x 9))))
(+.f64 (/.f64 24 (pow.f64 x 11)) (/.f64 8 (pow.f64 x 9)))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (+.f64 (.f64 48 (/.f64 1 (pow.f64 x 13))) (*.f64 8 (/.f64 1 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 24 (pow.f64 x 11)) (/.f64 48 (pow.f64 x 13))) (/.f64 8 (pow.f64 x 9)))
(+.f64 (/.f64 24 (pow.f64 x 11)) (+.f64 (/.f64 8 (pow.f64 x 9)) (/.f64 48 (pow.f64 x 13))))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (+.f64 (.f64 48 (/.f64 1 (pow.f64 x 13))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 9))) (.f64 80 (/.f64 1 (pow.f64 x 15))))))
(+.f64 (/.f64 24 (pow.f64 x 11)) (+.f64 (/.f64 48 (pow.f64 x 13)) (+.f64 (/.f64 8 (pow.f64 x 9)) (/.f64 80 (pow.f64 x 15)))))
(+.f64 (/.f64 24 (pow.f64 x 11)) (+.f64 (/.f64 8 (pow.f64 x 9)) (+.f64 (/.f64 48 (pow.f64 x 13)) (/.f64 80 (pow.f64 x 15)))))
(+.f64 (/.f64 8 (pow.f64 x 9)) (+.f64 (+.f64 (/.f64 48 (pow.f64 x 13)) (/.f64 80 (pow.f64 x 15))) (/.f64 24 (pow.f64 x 11))))
(+.f64 (/.f64 24 (pow.f64 x 11)) (+.f64 (+.f64 (/.f64 8 (pow.f64 x 9)) (/.f64 48 (pow.f64 x 13))) (/.f64 80 (pow.f64 x 15))))
(/.f64 8 (pow.f64 x 9))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (.f64 8 (/.f64 1 (pow.f64 x 9))))
(+.f64 (/.f64 24 (pow.f64 x 11)) (/.f64 8 (pow.f64 x 9)))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (+.f64 (.f64 48 (/.f64 1 (pow.f64 x 13))) (*.f64 8 (/.f64 1 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 24 (pow.f64 x 11)) (/.f64 48 (pow.f64 x 13))) (/.f64 8 (pow.f64 x 9)))
(+.f64 (/.f64 24 (pow.f64 x 11)) (+.f64 (/.f64 8 (pow.f64 x 9)) (/.f64 48 (pow.f64 x 13))))
(+.f64 (.f64 24 (/.f64 1 (pow.f64 x 11))) (+.f64 (.f64 48 (/.f64 1 (pow.f64 x 13))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 9))) (.f64 80 (/.f64 1 (pow.f64 x 15))))))
(+.f64 (/.f64 24 (pow.f64 x 11)) (+.f64 (/.f64 48 (pow.f64 x 13)) (+.f64 (/.f64 8 (pow.f64 x 9)) (/.f64 80 (pow.f64 x 15)))))
(+.f64 (/.f64 24 (pow.f64 x 11)) (+.f64 (/.f64 8 (pow.f64 x 9)) (+.f64 (/.f64 48 (pow.f64 x 13)) (/.f64 80 (pow.f64 x 15)))))
(+.f64 (/.f64 8 (pow.f64 x 9)) (+.f64 (+.f64 (/.f64 48 (pow.f64 x 13)) (/.f64 80 (pow.f64 x 15))) (/.f64 24 (pow.f64 x 11))))
(+.f64 (/.f64 24 (pow.f64 x 11)) (+.f64 (+.f64 (/.f64 8 (pow.f64 x 9)) (/.f64 48 (pow.f64 x 13))) (/.f64 80 (pow.f64 x 15))))

eval1.5s (16.6%)

Compiler: Compiled 27726 to 20822 computations (24.9% saved)

prune247.0ms (2.7%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1050	17	1067
Fresh	6	7	13
Picked	1	0	1
Done	3	2	5
Total	1060	26	1086

Error

0.1b

Counts

1086 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(fma.f64 (fma.f64 (+.f64 x -1) -2 x) (/.f64 1 (*.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))
	30.2b	(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
	39.8b	(pow.f64 (/.f64 8 (pow.f64 x 9)) 1/3)
	30.1b	(pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 x 3))) 3)
▶	30.7b	(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
	27.2b	(/.f64 (+.f64 (fma.f64 x x x) (.f64 (+.f64 x -1) (+.f64 x (fma.f64 x -2 -2)))) (.f64 (+.f64 x -1) (fma.f64 x x x)))
▶	11.3b	(/.f64 (+.f64 (-.f64 1 x) (.f64 (+.f64 1 x) (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (.f64 x -1/2)))) (*.f64 (+.f64 1 x) (-.f64 1 x)))
	30.0b	(/.f64 2 (pow.f64 x 3))
✓	33.5b	(/.f64 -2 x)
	34.5b	(-.f64 (/.f64 -2 x) x)
	34.4b	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
	29.5b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
	31.6b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (*.f64 x -1/2)) (+.f64 1 x))))
	28.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
▶	57.7b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
	33.2b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (.f64 (.f64 x -1/2) (-.f64 1 x))))
	36.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
✓	11.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	34.5b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (-.f64 -1 x) (/.f64 -2 x)))
	35.9b	(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	11.3b	(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x))))
	28.3b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶	34.0b	(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	12.9b	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
▶	57.4b	(+.f64 -1 (/.f64 -1 x))
	61.9b	-1

Compiler

Compiled 738 to 576 computations (22% saved)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 x) (-.f64 1 x))
✓	0.0b	(fma.f64 x 1/2 (-.f64 1 x))
✓	0.0b	(/.f64 (+.f64 (-.f64 1 x) (.f64 (+.f64 1 x) (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (.f64 x -1/2)))) (*.f64 (+.f64 1 x) (-.f64 1 x)))
✓	2.6b	(+.f64 (-.f64 1 x) (.f64 (+.f64 1 x) (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (.f64 x -1/2))))

Compiler

Compiled 95 to 68 computations (28.4% saved)

series9.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite204.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`fma-def_binary64`
331×	`log-div_binary64`
279×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
272×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	319	78
2	4935	78

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

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

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

simplify197.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

677×	`cancel-sign-sub-inv_binary64`
660×	`fma-neg_binary64`
658×	`associate-l_binary64`
482×	`associate-r_binary64`
473×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	413
1	139	389
2	346	388
3	877	387
4	2198	387
5	6488	387

Stop Event

1×	node limit

Counts

274 → 250

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite138.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`pow1_binary64`
537×	`add-log-exp_binary64`
537×	`log1p-expm1-u_binary64`
537×	`expm1-log1p-u_binary64`
527×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1462	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64`
5×	`+-commutative_binary64`
5×	`fma-def_binary64`
3×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	87
1	16	69
2	29	69
3	38	69
4	48	69
5	57	69
6	68	69

Stop Event

1×

saturated

Counts

44 → 36

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 1 x))
	0.0b	(.f64 (.f64 x -1/2) (-.f64 1 x))
✓	3.0b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
✓	15.7b	(/.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (-.f64 1 x)))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite210.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary64`
647×	`fma-def_binary64`
388×	`fma-neg_binary64`
316×	`log-div_binary64`
234×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	263	23
2	4400	23

Stop Event

1×	node limit

Counts

2 → 172

Calls

Call 1

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

Outputs

((#(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 x (/.f64 1 (/.f64 x (/.f64 -1/2 (+.f64 -1/2 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -1/2 (/.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 x (*.f64 x (+.f64 -1/2 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x (/.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 1/2))))))))) (#(struct:change #<rule 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simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

747×	`unswap-sqr_binary64`
494×	`associate-/r*_binary64`
445×	`times-frac_binary64`
394×	`sub-neg_binary64`
393×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	409
1	155	377
2	500	371
3	1740	370
4	6859	370

Stop Event

1×	node limit

Counts

196 → 200

Calls

Call 1

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

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

localize79.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))
✓	0.2b	(*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))
✓	8.4b	(-.f64 (*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (pow.f64 (+.f64 1 x) -2))
✓	22.5b	(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))

Compiler

Compiled 138 to 109 computations (21% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite276.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`fma-neg_binary64`
337×	`expm1-udef_binary64`
336×	`log1p-udef_binary64`
205×	`add-sqr-sqrt_binary64`
200×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	103
1	399	76
2	6609	76

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

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

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

518×	`unswap-sqr_binary64`
464×	`distribute-neg-frac_binary64`
416×	`associate-/r*_binary64`
407×	`sub-neg_binary64`
320×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	841
1	289	828
2	779	825
3	2069	825
4	5947	825

Stop Event

1×	node limit

Counts

249 → 255

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

eval1.9s (20.6%)

Compiler: Compiled 34916 to 27419 computations (21.5% saved)

prune216.0ms (2.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1072	11	1083
Fresh	16	3	19
Picked	1	0	1
Done	5	1	6
Total	1094	15	1109

Error

0.0b

Counts

1109 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (-.f64 1 x)))
	45.7b	(/.f64 (/.f64 -2 x) x)
	33.8b	(/.f64 (/.f64 -4 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
	30.0b	(/.f64 2 (pow.f64 x 3))
▶	56.8b	(/.f64 -1 x)
✓	33.5b	(/.f64 -2 x)
▶	34.5b	(-.f64 (/.f64 -2 x) x)
▶	34.4b	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
	29.5b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
	28.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
	36.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
	57.3b	(+.f64 1 (/.f64 -1 x))
▶	12.9b	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
	61.9b	2
	61.9b	-1

Compiler

Compiled 252 to 201 computations (20.2% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 22 computations (29% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
262×	`pow2_binary64`
231×	`log-div_binary64`
208×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	204	14
2	2982	14

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

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

Outputs

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

simplify200.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac_binary64`
699×	`fma-def_binary64`
476×	`associate-/l*_binary64`
415×	`associate-*l/_binary64`
302×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	217
1	122	211
2	313	210
3	770	209
4	1667	209
5	4031	209

Stop Event

1×	node limit

Counts

73 → 75

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))))))

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)))))

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 -1 (/.f64 -2 x))
✓	3.0b	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))

Compiler

Compiled 20 to 16 computations (20% saved)

series12.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
0.0ms	x	@	0	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
0.0ms	x	@	-inf	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`pow1_binary64`
777×	`add-log-exp_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	177	4
2	2299	4

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

56 → 44

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)

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)

localize10.0ms (0.1%)

Compiler: Compiled 25 to 19 computations (24% saved)

eval256.0ms (2.8%)

Compiler: Compiled 3673 to 2697 computations (26.6% saved)

prune67.0ms (0.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	235	4	239
Fresh	3	6	9
Picked	0	1	1
Done	0	5	5
Total	238	16	254

Error

Counts

254 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (-.f64 1 x)))
	29.9b	(/.f64 (/.f64 -2 x) (*.f64 x (neg.f64 x)))
	5.9b	(/.f64 (/.f64 -2 x) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (+.f64 1 x)) 3)))
	45.7b	(/.f64 (/.f64 -2 x) x)
	33.8b	(/.f64 (/.f64 -4 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
	30.0b	(/.f64 2 (pow.f64 x 3))
✓	56.8b	(/.f64 -1 x)
✓	33.5b	(/.f64 -2 x)
✓	34.5b	(-.f64 (/.f64 -2 x) x)
✓	34.4b	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
	57.3b	(+.f64 1 (/.f64 -1 x))
✓	12.9b	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
	0.1b	(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (/.f64 -2 x) (-.f64 1 x)))
	0.1b	(.f64 (/.f64 1 (.f64 (+.f64 x 1) (-.f64 1 x))) (/.f64 -2 x))
	61.9b	2
	61.9b	-1

Compiler

Compiled 140 to 110 computations (21.4% saved)

regimes313.0ms (3.4%)

Counts

52 → 1

Calls

Call 1

Inputs
-1
-1
2
(/.f64 -2 x)
(/.f64 -1 x)
(+.f64 -1 (/.f64 -1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(/.f64 (/.f64 -2 x) x)
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(/.f64 (/.f64 -2 x) (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 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 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (-.f64 1 x)))
(.f64 (/.f64 1 (.f64 (+.f64 x 1) (-.f64 1 x))) (/.f64 -2 x))
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (/.f64 -2 x) (-.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (-.f64 -1 x) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (.f64 (.f64 x -1/2) (-.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (-.f64 1 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 1 (+.f64 x -1)) (/.f64 -2 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 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (*.f64 x -1/2)) (+.f64 1 x))))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (/.f64 (*.f64 x (+.f64 x -1)) (fma.f64 (+.f64 x -1) -2 x))))
(/.f64 (/.f64 -4 (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 x) (.f64 (+.f64 1 x) (/.f64 (fma.f64 x 1/2 (-.f64 1 x)) (.f64 x -1/2)))) (*.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
(pow.f64 (/.f64 8 (pow.f64 x 9)) 1/3)
(+.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 -2 x) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (+.f64 1 x)) 3)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3) 1/3)
(fma.f64 (fma.f64 (+.f64 x -1) -2 x) (/.f64 1 (*.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 x 3))) 3)
(/.f64 (+.f64 (fma.f64 x x x) (.f64 (+.f64 x -1) (+.f64 x (fma.f64 x -2 -2)))) (.f64 (+.f64 x -1) (fma.f64 x x x)))
(+.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 (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 (/.f64 -2 x) (*.f64 (+.f64 1 x) (-.f64 1 x)))

Calls

3 calls:

159.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
118.0ms	x
16.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`
0.1b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 727 to 564 computations (22.4% saved)

regimes135.0ms (1.5%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

104.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 112 to 86 computations (23.2% saved)

bsearch51.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	0.0057372745632231605	135.68711083118944
25.0ms	-50.943474180845776	-0.4294392715494267

Compiler

Compiled 20 to 16 computations (20% saved)

regimes29.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 63 to 47 computations (25.4% saved)

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	0.0057372745632231605	135.68711083118944
21.0ms	-50.943474180845776	-0.4294392715494267

Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
12.9b	1	`x`

Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes21.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
17.5b	3	`x`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch67.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	0.0057372745632231605	135.68711083118944
28.0ms	-50.943474180845776	-0.4294392715494267

Compiler

Compiled 20 to 16 computations (20% saved)

regimes16.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 -2 x)

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
33.5b	1	`x`

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.8b remaining (-1.3%)

Threshold costs -0.8b (-1.3%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
-1
2

Outputs
-1

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
61.9b	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	156
1	53	156
2	67	156
3	76	156
4	80	156
5	81	156

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (-.f64 1 x)))
(if (<=.f64 x -7169656604306735/140737488355328) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x))) (if (<=.f64 x 6614627221773837/1152921504606846976) (-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x))) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x)))))
(if (<=.f64 x -7169656604306735/140737488355328) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x))) (if (<=.f64 x 6614627221773837/1152921504606846976) (-.f64 (/.f64 -2 x) x) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x)))))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(if (<=.f64 x -7169656604306735/140737488355328) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 6614627221773837/1152921504606846976) (-.f64 (/.f64 -2 x) x) (/.f64 (/.f64 -2 x) x)))
(/.f64 -2 x)
-1

Outputs
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 x 1) (-.f64 1 x)))
(if (<=.f64 x -7169656604306735/140737488355328) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x))) (if (<=.f64 x 6614627221773837/1152921504606846976) (-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x))) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x)))))
(if (<=.f64 x -7169656604306735/140737488355328) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x))) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 (.f64 -2 x) (.f64 -2 (/.f64 1 x))) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x)))))
(if (<=.f64 x -7169656604306735/140737488355328) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x))) (if (<=.f64 x 6614627221773837/1152921504606846976) (-.f64 (/.f64 -2 x) x) (/.f64 (/.f64 -2 x) (.f64 x (neg.f64 x)))))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 -2 x) -1))
(if (<=.f64 x -7169656604306735/140737488355328) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 6614627221773837/1152921504606846976) (-.f64 (/.f64 -2 x) x) (/.f64 (/.f64 -2 x) x)))
(/.f64 -2 x)
-1

Compiler

Compiled 114 to 77 computations (32.5% saved)

soundness38.0ms (0.4%)

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

Compiler

Compiled 149 to 122 computations (18.1% saved)

end67.0ms (0.7%)

Compiler: Compiled 108 to 69 computations (36.1% saved)

Details

analyze6.0ms (0.1%)

sample1.1s (12.3%)

preprocess29.0ms (0.3%)

simplify18.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.2%)

series5.0ms (0.1%)

rewrite96.0ms (1%)

simplify65.0ms (0.7%)

eval120.0ms (1.3%)

prune52.0ms (0.6%)

localize31.0ms (0.3%)

series11.0ms (0.1%)

rewrite123.0ms (1.3%)

simplify71.0ms (0.8%)

localize3.0ms (0%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite100.0ms (1.1%)

simplify66.0ms (0.7%)

localize29.0ms (0.3%)

series16.0ms (0.2%)

rewrite101.0ms (1.1%)

simplify90.0ms (1%)

localize52.0ms (0.6%)

series4.0ms (0%)

rewrite106.0ms (1.1%)

simplify49.0ms (0.5%)

eval1.5s (16.6%)

prune247.0ms (2.7%)

localize41.0ms (0.4%)

series9.0ms (0.1%)

rewrite204.0ms (2.2%)

simplify197.0ms (2.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite138.0ms (1.5%)

simplify10.0ms (0.1%)

localize16.0ms (0.2%)

localize20.0ms (0.2%)

series3.0ms (0%)

rewrite210.0ms (2.3%)

simplify65.0ms (0.7%)

localize79.0ms (0.8%)

series5.0ms (0.1%)

rewrite276.0ms (3%)

simplify75.0ms (0.8%)

eval1.9s (20.6%)

prune216.0ms (2.3%)

localize13.0ms (0.1%)

series3.0ms (0%)

rewrite74.0ms (0.8%)

simplify200.0ms (2.2%)

localize3.0ms (0%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series12.0ms (0.1%)

rewrite61.0ms (0.7%)

simplify33.0ms (0.4%)

localize10.0ms (0.1%)

eval256.0ms (2.8%)

prune67.0ms (0.7%)

regimes313.0ms (3.4%)

regimes135.0ms (1.5%)

bsearch51.0ms (0.5%)

regimes29.0ms (0.3%)

bsearch47.0ms (0.5%)

regimes12.0ms (0.1%)

regimes21.0ms (0.2%)

bsearch67.0ms (0.7%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

simplify11.0ms (0.1%)

soundness38.0ms (0.4%)

end67.0ms (0.7%)

Profiling