Details

analyze8.0ms (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)

sample2.2s (23.5%)

Results

919.0ms	5329×	body	256	valid
785.0ms	1565×	body	512	valid
374.0ms	1362×	body	1024	valid
0.0ms	2×	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)

simplify152.0ms (1.7%)

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

9.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 1 x))
✓	0.0b	(/.f64 1 (+.f64 x -1))
✓	0.0b	(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓	2.4b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))

Compiler

Compiled 48 to 37 computations (22.9% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite103.0ms (1.1%)

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

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	755
1	231	730
2	644	719
3	1937	716
4	5425	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 (*.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))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))

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

eval264.0ms (2.9%)

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

prune99.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	263	11	274
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	263	12	275

Error

0.4b

Counts

275 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶	29.1b	(/.f64 -2 x)
▶	29.7b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
	29.6b	(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶	24.9b	(+.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))))
▶	9.1b	(fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
	25.9b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	34.3b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
	34.3b	(/.f64 2 (pow.f64 x 3))
▶	29.8b	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
	24.3b	(/.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))))
	36.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))

Compiler

Compiled 334 to 265 computations (20.7% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 1 x))
	0.0b	(/.f64 1 (+.f64 x -1))
✓	1.7b	(fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
✓	2.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))

Compiler

Compiled 51 to 40 computations (21.6% 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 x -1)))
0.0ms	x	@	-inf	(fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
0.0ms	x	@	inf	(fma.f64 (/.f64 1 x) -2 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
0.0ms	x	@	inf	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
0.0ms	x	@	-inf	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))

rewrite106.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
477×	`fma-def_binary64`
337×	`pow2_binary64`
254×	`fma-neg_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	275	38
2	3967	38

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

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

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simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

774×	`times-frac_binary64`
693×	`fma-def_binary64`
469×	`associate-/l*_binary64`
342×	`associate-l_binary64`
302×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	412
1	159	404
2	445	402
3	1162	399
4	2385	399
5	4657	399

Stop Event

1×	node limit

Counts

122 → 126

Calls

Call 1

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

localize5.0ms (0.1%)

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

localize150.0ms (1.6%)

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

localize28.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	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

1 → 12

Calls

3 calls:

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

rewrite127.0ms (1.4%)

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	16
1	232	16
2	3326	16

Stop Event

1×	node limit

Counts

1 → 80

Calls

Call 1

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

Outputs

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

simplify190.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-neg_binary64`
524×	`cancel-sign-sub-inv_binary64`
461×	`associate-l_binary64`
371×	`sub-neg_binary64`
367×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	154
1	83	141
2	227	137
3	689	137
4	2278	135
5	6867	135

Stop Event

1×	node limit

Counts

92 → 94

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))))

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x -1/2) (-.f64 1 x))
✓	0.0b	(+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1))
✓	2.2b	(+.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))))
✓	14.5b	(/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 (.f64 x -1/2) (-.f64 1 x)))

Compiler

Compiled 80 to 61 computations (23.8% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite111.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

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

simplify84.0ms (0.9%)

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))

eval807.0ms (8.8%)

Compiler: Compiled 14045 to 10831 computations (22.9% saved)

prune268.0ms (2.9%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	593	10	603
Fresh	1	5	6
Picked	1	0	1
Done	2	3	5
Total	597	18	615

Error

0.4b

Counts

615 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓	29.1b	(/.f64 -2 x)
	25.9b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	34.3b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
	24.3b	(/.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))))
▶	24.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
	34.3b	(/.f64 2 (pow.f64 x 3))
	30.1b	(-.f64 (/.f64 -2 x) x)
	29.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (.f64 (.f64 x -1/2) (-.f64 1 x))))
▶	36.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
▶	9.1b	(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
	58.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (.f64 x (.f64 x 1/2))))
	29.6b	(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
▶	56.7b	(+.f64 -1 (/.f64 -1 x))
✓	29.8b	(-.f64 (.f64 -2 x) (.f64 2 (/.f64 1 x)))
	62.0b	-1
	10.0b	(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
▶	24.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (+.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (neg.f64 x)))))

Compiler

Compiled 458 to 362 computations (21% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 1 x))
	0.0b	(/.f64 1 (+.f64 x -1))
✓	1.7b	(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
	2.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))

Compiler

Compiled 50 to 39 computations (22% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`fma-def_binary64`
608×	`log-prod_binary64`
395×	`fma-neg_binary64`
328×	`log-div_binary64`
246×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	289	22
2	4636	22

Stop Event

1×	node limit

Counts

1 → 102

Calls

Call 1

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

Outputs

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

simplify184.0ms (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

114 → 116

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)))))

localize5.0ms (0.1%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

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

simplify172.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

90 → 93

Calls

Call 1

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

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

localize29.0ms (0.3%)

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))
✓	2.2b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))
✓	14.5b	(/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x)))

Compiler

Compiled 65 to 49 computations (24.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite106.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`log-prod_binary64`
715×	`fma-def_binary64`
393×	`fma-neg_binary64`
320×	`log-div_binary64`
254×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	311	43
2	4662	43

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)) (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 x 1) (/.f64 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simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-neg_binary64`
630×	`associate-/r*_binary64`
597×	`fma-def_binary64`
470×	`cancel-sign-sub-inv_binary64`
384×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	401
1	179	388
2	467	385
3	1271	384
4	3631	384

Stop Event

1×	node limit

Counts

164 → 167

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))))))

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

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 1 x))
	0.0b	(+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1))
✓	2.2b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (+.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (neg.f64 x)))))
✓	14.5b	(/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (+.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (neg.f64 x))))

Compiler

Compiled 97 to 68 computations (29.9% 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 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (+.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (neg.f64 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 (*.f64 x -1/2) (neg.f64 x)))))
1.0ms	x	@	0	(/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (+.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (neg.f64 x))))
0.0ms	x	@	0	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (+.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (neg.f64 x)))))
0.0ms	x	@	inf	(/.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x -1/2) -1)) (+.f64 (.f64 x -1/2) (.f64 (*.f64 x -1/2) (neg.f64 x))))

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`fma-neg_binary64`
262×	`log1p-udef_binary64`
261×	`expm1-udef_binary64`
195×	`add-sqr-sqrt_binary64`
189×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	378	45
2	6551	45

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs

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

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

Outputs

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-neg_binary64`
630×	`associate-/r*_binary64`
597×	`fma-def_binary64`
470×	`cancel-sign-sub-inv_binary64`
384×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	401
1	179	388
2	467	385
3	1271	384
4	3631	384

Stop Event

1×	node limit

Counts

132 → 135

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))))))

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

eval636.0ms (6.9%)

Compiler: Compiled 21536 to 16422 computations (23.7% saved)

prune162.0ms (1.8%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	884	12	896
Fresh	6	4	10
Picked	1	0	1
Done	3	4	7
Total	894	20	914

Error

0.4b

Counts

914 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.3b	(/.f64 (+.f64 (fma.f64 x x -1) (.f64 (.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (.f64 (.f64 x -1/2) (fma.f64 x x -1)))
✓	9.1b	(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
✓	9.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	42.5b	(+.f64 (/.f64 -2 x) (/.f64 2 x))
✓	29.1b	(/.f64 -2 x)
	56.6b	(-.f64 1 (/.f64 1 x))
	34.3b	(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
▶	56.1b	(/.f64 -1 x)
	42.7b	(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
	58.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 x (*.f64 x 1/2))))
	62.0b	-1
	24.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (+.f64 (.f64 x -1/2) (.f64 (.f64 x -1/2) (neg.f64 x)))))
	34.3b	(/.f64 2 (pow.f64 x 3))
	30.1b	(-.f64 (/.f64 -2 x) x)
▶	29.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (.f64 (.f64 x -1/2) (-.f64 1 x))))
▶	47.0b	(/.f64 -1 (*.f64 x x))
	42.9b	(+.f64 (/.f64 -2 x) (/.f64 (+.f64 2 (/.f64 2 (*.f64 x x))) x))
▶	29.6b	(+.f64 (/.f64 -2 x) (+.f64 1 (/.f64 1 (+.f64 x -1))))
	29.8b	(+.f64 (/.f64 -2 x) (*.f64 -2 x))
✓	24.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))

Compiler

Compiled 416 to 319 computations (23.3% saved)

localize66.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 (fma.f64 x x -1) (.f64 (.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (.f64 (.f64 x -1/2) (fma.f64 x x -1)))
✓	0.0b	(.f64 (.f64 x -1/2) (fma.f64 x x -1))
✓	2.9b	(+.f64 (+.f64 x 1) (+.f64 x -1))
✓	16.5b	(+.f64 (fma.f64 x x -1) (.f64 (.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1))))

Compiler

Compiled 85 to 58 computations (31.8% saved)

series13.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 (fma.f64 x x -1) (.f64 (.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1))))
2.0ms	x	@	inf	(+.f64 (fma.f64 x x -1) (.f64 (.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1))))
2.0ms	x	@	-inf	(+.f64 (fma.f64 x x -1) (.f64 (.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1))))
1.0ms	x	@	inf	(.f64 (.f64 x -1/2) (fma.f64 x x -1))
1.0ms	x	@	0	(.f64 (.f64 x -1/2) (fma.f64 x x -1))

rewrite166.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`log-prod_binary64`
442×	`fma-neg_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`
263×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	329	58
2	5285	58

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 -1/2 (+.f64 x x)) (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 (fma.f64 x x -1) (.f64 -1/2 (.f64 x (+.f64 x x))))) (/.f64 (pow.f64 (.f64 -1/2 (.f64 x (+.f64 x x))) 2) (-.f64 (fma.f64 x x -1) (.f64 -1/2 (.f64 x (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 -1/2 (+.f64 x x)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 -1/2 (+.f64 x x)) (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 (+.f64 x x)) (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 (+.f64 x x)) (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 (+.f64 x x)) (fma.f64 x x -1))) 2) (cbrt.f64 (fma.f64 x (.f64 -1/2 (+.f64 x x)) (fma.f64 x x -1))))))) (#(struct:change #<rule 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simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac_binary64`
709×	`fma-def_binary64`
463×	`associate-/l*_binary64`
414×	`associate-*l/_binary64`
342×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	394
1	134	388
2	339	387
3	832	386
4	1759	386
5	4256	386

Stop Event

1×	node limit

Counts

220 → 193

Calls

Call 1

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

localize6.0ms (0.1%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`pow1_binary64`
443×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
424×	`add-log-exp_binary64`
424×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	6
2	1216	6

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify170.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	11	84
2	20	84
3	35	84
4	75	84
5	224	84
6	834	84
7	2043	84
8	2209	84
9	2393	84
10	2601	84
11	2898	84
12	3291	84
13	3772	84
14	4340	84
15	5028	84
16	5863	84
17	6255	84
18	6543	84
19	6819	84
20	6891	84
21	6927	84

Stop Event

1×	node limit

Counts

34 → 24

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite112.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`fma-def_binary64`
465×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
289×	`pow2_binary64`
271×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	232	26
2	3341	26

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-def_binary64`
600×	`fma-neg_binary64`
576×	`times-frac_binary64`
369×	`sub-neg_binary64`
329×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	302
1	117	281
2	304	277
3	1059	268
4	4444	267
5	7609	267

Stop Event

1×	node limit

Counts

148 → 151

Calls

Call 1

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

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

localize41.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
817×	`add-log-exp_binary64`
817×	`log1p-expm1-u_binary64`
817×	`expm1-log1p-u_binary64`
802×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	174	10
2	2219	10

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

615×	`times-frac_binary64`
600×	`associate-/r*_binary64`
581×	`associate-/l/_binary64`
543×	`associate-l_binary64`
482×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	209
1	96	201
2	241	201
3	621	201
4	2023	201

Stop Event

1×	node limit

Counts

38 → 41

Calls

Call 1

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

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

eval500.0ms (5.4%)

Compiler: Compiled 11623 to 8435 computations (27.4% saved)

prune112.0ms (1.2%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	515	7	522
Fresh	2	9	11
Picked	1	0	1
Done	2	6	8
Total	520	22	542

Error

0.4b

Counts

542 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	47.1b	(neg.f64 (pow.f64 x -2))
✓	47.0b	(/.f64 -1 (*.f64 x x))
	61.4b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 (*.f64 x x)))
	30.0b	(+.f64 (/.f64 -2 x) 1)
✓	9.1b	(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
✓	9.1b	(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
	14.7b	(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 x)) (/.f64 1 (.f64 (.f64 x -1/2) (-.f64 1 x))))
	42.5b	(+.f64 (/.f64 -2 x) (/.f64 2 x))
✓	29.1b	(/.f64 -2 x)
✓	56.1b	(/.f64 -1 x)
	42.7b	(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
	58.3b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 x (*.f64 x 1/2))))
	62.0b	-1
	24.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (+.f64 (.f64 x -1/2) (.f64 (.f64 x -1/2) (neg.f64 x)))))
	34.3b	(/.f64 2 (pow.f64 x 3))
	30.1b	(-.f64 (/.f64 -2 x) x)
	56.6b	(-.f64 1 (/.f64 1 x))
	42.9b	(+.f64 (/.f64 -2 x) (/.f64 (+.f64 2 (/.f64 2 (*.f64 x x))) x))
	47.1b	(*.f64 (/.f64 -1 x) (/.f64 1 x))
	0.4b	(/.f64 -1 (.f64 (.f64 x -1/2) (fma.f64 x x -1)))
	29.8b	(+.f64 (/.f64 -2 x) (*.f64 -2 x))
✓	24.9b	(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (.f64 (*.f64 x -1/2) (-.f64 1 x))))

Compiler

Compiled 235 to 181 computations (23% saved)

regimes62.0ms (0.7%)

Counts

42 → 1

Calls

Call 1

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

Calls

3 calls:

20.0ms	x
16.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
12.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`
0.4b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 534 to 403 computations (24.5% saved)

regimes138.0ms (1.5%)

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

52.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
46.0ms	x
28.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`
0.5b	3	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 432 to 327 computations (24.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7079572348435712e-17	0.3399913537791115
0.0ms	-5373.654340257301	-4.1359030627651384e-25

Compiler

Compiled 20 to 16 computations (20% saved)

regimes49.0ms (0.5%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
11.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
10.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
9.1b	1	`x`
9.1b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`
9.1b	1	`(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 422 to 319 computations (24.4% saved)

regimes18.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
9.1b	1	`x`

Compiler

Compiled 186 to 138 computations (25.8% saved)

regimes43.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
10.0b	1	`x`

Compiler

Compiled 171 to 126 computations (26.3% saved)

regimes25.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
9.7b	3	`x`

Compiler

Compiled 61 to 44 computations (27.9% saved)

bsearch55.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.00037218625360065295	1.989255555952882
20.0ms	-291147832.0563465	-0.0035762531704590975

Compiler

Compiled 20 to 16 computations (20% saved)

regimes21.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
10.0b	3	`x`

Compiler

Compiled 54 to 39 computations (27.8% saved)

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.00037218625360065295	1.989255555952882
20.0ms	-291147832.0563465	-0.0035762531704590975

Compiler

Compiled 20 to 16 computations (20% saved)

regimes52.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

49.0ms

Results

Error	Segments	Branch
14.3b	3	`x`

Compiler

Compiled 47 to 34 computations (27.7% saved)

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.00037218625360065295	1.989255555952882
20.0ms	-291147832.0563465	-0.0035762531704590975

Compiler

Compiled 20 to 16 computations (20% saved)

regimes16.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
14.3b	3	`x`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch87.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.00037218625360065295	1.989255555952882
67.0ms	-291147832.0563465	-0.0035762531704590975

Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 -2 x)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
29.1b	1	`x`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes4.0ms (0%)

Accuracy

Total -6.0b remaining (-10.7%)

Threshold costs -6.0b (-10.7%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(/.f64 -1 x)

Outputs
(/.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
56.1b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
10×	`*-commutative_binary64`
8×	`sub-neg_binary64`
7×	`unsub-neg_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	337
1	96	335
2	111	335
3	135	335
4	143	335
5	146	335
6	147	335

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 -1 (.f64 (.f64 x -1/2) (fma.f64 x x -1)))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -5000) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 6490371073168535/324518553658426726783156020576256) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (+.f64 (.f64 x -1/2) (.f64 (.f64 x -1/2) (neg.f64 x)))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(if (<=.f64 x -4884650066341049/16777216) (+.f64 (/.f64 -2 x) (/.f64 2 x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x))))
(if (<=.f64 x -4884650066341049/16777216) (+.f64 (/.f64 -2 x) (/.f64 2 x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (-.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 2 x))))
(if (<=.f64 x -4884650066341049/16777216) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (-.f64 (/.f64 -2 x) x) (/.f64 -1 (.f64 x x))))
(if (<=.f64 x -4884650066341049/16777216) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (/.f64 -2 x) (/.f64 -1 (.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
-1

Outputs
(/.f64 -1 (.f64 (.f64 x -1/2) (fma.f64 x x -1)))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -5000) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 6490371073168535/324518553658426726783156020576256) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (.f64 -1/2 x) 1) (+.f64 (.f64 x -1/2) (.f64 (.f64 x -1/2) (neg.f64 x)))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (+.f64 -1 x))) -5000) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 -1 x)))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (+.f64 -1 x))) 6490371073168535/324518553658426726783156020576256) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (+.f64 (.f64 x -1/2) 1) (+.f64 (.f64 x -1/2) (.f64 (.f64 x -1/2) (neg.f64 x)))))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 -1 x))) -5000) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 -1 x)))) (if (<=.f64 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 -1 x))) 6490371073168535/324518553658426726783156020576256) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (+.f64 (.f64 x -1/2) 1) (-.f64 (.f64 x -1/2) (.f64 x (.f64 x -1/2)))))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 -1 x))) -5000) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 -1 x)))) (if (<=.f64 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 -1 x))) 6490371073168535/324518553658426726783156020576256) (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (+.f64 (.f64 x -1/2) 1) (+.f64 (.f64 x -1/2) (.f64 x (.f64 x 1/2)))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 -1 x))))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 -1 x))))
(+.f64 1 (+.f64 -1 (/.f64 -2 x)))
(if (<=.f64 x -4884650066341049/16777216) (+.f64 (/.f64 -2 x) (/.f64 2 x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x))))
(if (<=.f64 x -4884650066341049/16777216) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (+.f64 (/.f64 -2 x) (*.f64 x -2)) (+.f64 (/.f64 2 x) (/.f64 -2 x))))
(if (<=.f64 x -4884650066341049/16777216) (+.f64 (/.f64 -2 x) (/.f64 2 x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (-.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (/.f64 2 x))))
(if (<=.f64 x -4884650066341049/16777216) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (-.f64 (/.f64 -2 x) x) (+.f64 (/.f64 2 x) (/.f64 -2 x))))
(if (<=.f64 x -4884650066341049/16777216) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (-.f64 (/.f64 -2 x) x) (/.f64 -1 (.f64 x x))))
(if (<=.f64 x -4884650066341049/16777216) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 6865624567924005/18446744073709551616) (/.f64 -2 x) (/.f64 -1 (.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
-1

Compiler

Compiled 243 to 183 computations (24.7% saved)

soundness37.0ms (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)

end148.0ms (1.6%)

Compiler: Compiled 232 to 171 computations (26.3% saved)