Details

analyze8.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.6s (56.7%)

Results

520.0ms	4601×	body	128	valid
493.0ms	1338×	body	1024	valid
439.0ms	1546×	body	512	valid
134.0ms	771×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 34 to 28 computations (17.6% saved)

preprocess26.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	64	22
4	122	22
5	237	22
6	388	22
7	509	22
8	615	22
9	635	22
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	22	22
2	38	22
3	64	22
4	122	22
5	237	22
6	388	22
7	509	22
8	615	22
9	635	22

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

12.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	12.9b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 63 to 51 computations (19% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x 1))
✓	0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
✓	0.0b	(/.f64 1 (-.f64 x 1))
✓	2.1b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

series6.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite73.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
137×	`*-un-lft-identity_binary64`
137×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	272	49
2	4382	49

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

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

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

simplify34.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-neg_binary64`
489×	`cancel-sign-sub-inv_binary64`
255×	`associate-l_binary64`
254×	`fma-def_binary64`
246×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	752
1	247	726
2	724	720
3	2230	717

Stop Event

1×	node limit

Counts

200 → 205

Calls

Call 1

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

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

prune165.0ms (5.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	201	4	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	4	206

Error

0.2b

Counts

206 → 4

Alt Table

Status	Error	Program
	30.7b	(+.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)))))
▶	12.9b	(+.f64 (-.f64 (pow.f64 (+.f64 1 x) -1) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
	27.6b	(+.f64 (/.f64 (-.f64 x (.f64 (+.f64 1 x) 2)) (.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
	26.8b	(/.f64 (+.f64 (.f64 x (+.f64 1 x)) (.f64 (+.f64 x -1) (-.f64 x (.f64 (+.f64 1 x) 2)))) (.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))

Compiler

Compiled 4877 to 3850 computations (21.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 1 x) -1)
✓	0.0b	(-.f64 (pow.f64 (+.f64 1 x) -1) (/.f64 2 x))
	0.0b	(/.f64 1 (-.f64 x 1))
✓	2.1b	(+.f64 (-.f64 (pow.f64 (+.f64 1 x) -1) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite61.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

241×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`
147×	`add-sqr-sqrt_binary64`
141×	`pow1_binary64`
140×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	287	42
2	4274	42

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify29.0ms (1%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-neg_binary64`
418×	`cancel-sign-sub-inv_binary64`
263×	`associate-+l-_binary64`
251×	`associate-l_binary64`
216×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	575
1	211	559
2	601	553
3	1854	553

Stop Event

1×	node limit

Counts

150 → 154

Calls

Call 1

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

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

prune176.0ms (6.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	193	4	197

Error

0.2b

Counts

197 → 4

Alt Table

Status	Error	Program
	30.7b	(+.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)))))
✓	12.9b	(+.f64 (-.f64 (pow.f64 (+.f64 1 x) -1) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
	27.6b	(+.f64 (/.f64 (-.f64 x (.f64 (+.f64 1 x) 2)) (.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
▶	26.8b	(/.f64 (+.f64 (.f64 x (+.f64 1 x)) (.f64 (+.f64 x -1) (-.f64 x (.f64 (+.f64 1 x) 2)))) (.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))

Compiler

Compiled 4576 to 3632 computations (20.6% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 1 x))
✓	0.0b	(-.f64 x (*.f64 (+.f64 1 x) 2))
✓	0.1b	(.f64 (+.f64 x -1) (.f64 x (+.f64 1 x)))
✓	15.2b	(+.f64 (.f64 x (+.f64 1 x)) (.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2))))

series5.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite68.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`expm1-udef_binary64`
257×	`log1p-udef_binary64`
152×	`add-sqr-sqrt_binary64`
147×	`*-un-lft-identity_binary64`
147×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	296	53
2	4306	53

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

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

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

simplify24.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
505×	`fma-def_binary64`
274×	`distribute-rgt-neg-in_binary64`
262×	`cancel-sign-sub-inv_binary64`
238×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	219
1	35	183
2	66	183
3	137	183
4	358	183
5	1396	183

Stop Event

1×	node limit

Counts

183 → 148

Calls

Call 1

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

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

prune170.0ms (6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	179	4	183

Error

0.2b

Counts

183 → 4

Alt Table

Status	Error	Program
	30.7b	(+.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)))))
✓	12.9b	(+.f64 (-.f64 (pow.f64 (+.f64 1 x) -1) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
▶	0.3b	(/.f64 2 (.f64 (+.f64 x -1) (.f64 x (+.f64 1 x))))
	27.6b	(+.f64 (/.f64 (-.f64 x (.f64 (+.f64 1 x) 2)) (.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 6115 to 4023 computations (34.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (+.f64 1 x))
	0.1b	(.f64 (+.f64 x -1) (.f64 x (+.f64 1 x)))
✓	0.2b	(/.f64 2 (.f64 (+.f64 x -1) (.f64 x (+.f64 1 x))))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`fma-def_binary64`
248×	`prod-diff_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`
150×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	221	16
2	2918	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify27.0ms (1%)

Algorithm

1×	egg-herbie

Rules

591×	`fma-def_binary64`
448×	`fma-neg_binary64`
277×	`cancel-sign-sub-inv_binary64`
228×	`distribute-rgt-neg-in_binary64`
210×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	223
1	127	217
2	375	211
3	1222	211
4	3953	211

Stop Event

1×	node limit

Counts

35 → 37

Calls

Call 1

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

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

prune70.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	103	4	107

Error

0.0b

Counts

107 → 4

Alt Table

Status	Error	Program
	0.3b	(.f64 2 (/.f64 1 (.f64 x (fma.f64 x x -1))))
	19.4b	(/.f64 2 (/.f64 (.f64 (.f64 x (+.f64 x -1)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x))))
	21.6b	(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 2)
	0.1b	(*.f64 (/.f64 2 (-.f64 x 1)) (/.f64 1 (fma.f64 x x x)))

Compiler

Compiled 1491 to 988 computations (33.7% saved)

regimes117.0ms (4.1%)

Accuracy

Total 0.1b remaining (73.4%)

Threshold costs 0.1b (73.4%)

Counts

99 → 1

Compiler

Compiled 1631 to 1301 computations (20.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	15	17
2	16	17

Stop Event

1×

saturated

Calls

Call 1

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

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

end67.0ms (2.4%)

Stop Event

1×

fuel

Compiler

Compiled 84 to 60 computations (28.6% saved)

Details

analyze8.0ms (0.3%)

sample1.6s (56.7%)

preprocess26.0ms (0.9%)

simplify12.0ms (0.4%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

series6.0ms (0.2%)

rewrite73.0ms (2.6%)

simplify34.0ms (1.2%)

prune165.0ms (5.9%)

localize8.0ms (0.3%)

series3.0ms (0.1%)

rewrite61.0ms (2.2%)

simplify29.0ms (1%)

prune176.0ms (6.3%)

localize10.0ms (0.4%)

series5.0ms (0.2%)

rewrite68.0ms (2.4%)

simplify24.0ms (0.8%)

prune170.0ms (6%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite41.0ms (1.4%)

simplify27.0ms (1%)

prune70.0ms (2.5%)

regimes117.0ms (4.1%)

simplify2.0ms (0.1%)

end67.0ms (2.4%)

Profiling