Details

analyze3.0ms (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
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample581.0ms (17.5%)

Results

571.0ms	8256×	body	256	valid
0.0ms	5×	body	256	invalid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(atanh.f64 x)

Outputs
(atanh.f64 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify182.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-def`
516×	`associate-r`
410×	`associate-/r*`
372×	`associate-/l*`
344×	`associate-l`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	20	29
2	31	29
3	47	29
4	63	29
5	84	29
6	141	29
7	238	25
8	358	25
9	529	25
10	706	25
11	970	25
12	1290	25
13	2216	25
14	2893	25
15	3759	25
16	3785	25
17	3831	25
18	3871	25
19	3871	25

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 -1/2 x 1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2))))

eval1.0ms (0%)

Compiler: Compiled 59 to 48 computations (18.6% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.01%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	0.23%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))

Compiler

Compiled 22 to 19 computations (13.6% saved)

localize15.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.23%	(/.f64 2 (-.f64 -1 (/.f64 -1 x)))

Compiler

Compiled 38 to 32 computations (15.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`add-sqr-sqrt`
1804×	`*-un-lft-identity`
1690×	`add-cube-cbrt`
1678×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	183	19
2	2323	19

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1282×	`distribute-lft-in`
1190×	`associate-r`
1006×	`associate-*r/`
984×	`associate-l`
830×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	944
1	257	892
2	885	876
3	3885	876

Stop Event

1×	node limit

Counts

36 → 65

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 1)
(*.f64 2 (/.f64 1 (+.f64 -1 (/.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 1 x))) 2)
(*.f64 -2 (/.f64 1 (+.f64 1 (/.f64 -1 x))))
(.f64 (/.f64 2 (-.f64 1 (/.f64 1 (.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))
(.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 1 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1 x))))
(pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3) 1/3)
(pow.f64 (-.f64 -1/2 (/.f64 (/.f64 -1 x) 2)) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(exp.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (+.f64 (.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (.f64 x x) (.f64 2 (+.f64 (pow.f64 x 3) x)))
(.f64 2 (+.f64 (+.f64 x (pow.f64 x 3)) (.f64 x x)))
(.f64 2 (+.f64 x (.f64 x (fma.f64 x x x))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 2 (pow.f64 x 3) (.f64 2 (+.f64 x (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
(.f64 2 (+.f64 (+.f64 x (pow.f64 x 4)) (.f64 x (fma.f64 x x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 -2 (/.f64 2 x))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(-.f64 -2 (/.f64 2 x))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 2 (/.f64 1 (+.f64 -1 (/.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 -1 (/.f64 -1 x)) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 -1 (/.f64 -1 x)) 2))))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 1 x))) 2)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(*.f64 -2 (/.f64 1 (+.f64 1 (/.f64 -1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(.f64 (/.f64 2 (-.f64 1 (/.f64 1 (.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))
(/.f64 (+.f64 -2 (/.f64 -2 x)) (-.f64 1 (/.f64 (/.f64 1 x) x)))
(/.f64 (-.f64 -2 (/.f64 2 x)) (+.f64 1 (/.f64 -1 (*.f64 x x))))
(.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 1 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1 x))))
(/.f64 (.f64 2 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (.f64 x x))))) (-.f64 -1 (/.f64 -1 (pow.f64 x 3))))
(/.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))
(/.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))
(pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3) 1/3)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (-.f64 -1/2 (/.f64 (/.f64 -1 x) 2)) -1)
(/.f64 1 (-.f64 -1/2 (/.f64 -1 (*.f64 2 x))))
(/.f64 1 (-.f64 -1/2 (/.f64 -1/2 x)))
(/.f64 1 (+.f64 -1/2 (/.f64 1/2 x)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 -1 (/.f64 -1 x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(exp.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))))
(/.f64 -2 (exp.f64 (log1p.f64 (/.f64 -1 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))) 1))
(exp.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))))
(/.f64 -2 (exp.f64 (log1p.f64 (/.f64 -1 x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))

localize21.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (*.f64 2 x) (-.f64 1 x))

Compiler

Compiled 36 to 27 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`add-sqr-sqrt`
1876×	`*-un-lft-identity`
1764×	`add-cube-cbrt`
1746×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	172	19
2	2299	19

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

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

Outputs

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

simplify68.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1272×	`associate-*r/`
1034×	`associate-+l-`
878×	`associate-/l*`
814×	`associate-+r-`
758×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1474
1	416	1394
2	1602	1382
3	6745	1382

Stop Event

1×	node limit

Counts

56 → 80

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 1)
(.f64 2 (.f64 x (/.f64 1 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 1 (/.f64 (-.f64 1 x) x)))
(.f64 x (.f64 2 (/.f64 1 (-.f64 1 x))))
(.f64 (.f64 2 x) (/.f64 1 (-.f64 1 x)))
(.f64 1 (.f64 (/.f64 2 (-.f64 1 x)) x))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (sqrt.f64 (.f64 2 x)) (.f64 (sqrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 2) (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (.f64 (cbrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 2 x))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (.f64 x x) (.f64 2 (+.f64 (pow.f64 x 3) x)))
(.f64 2 (+.f64 (.f64 x x) (+.f64 x (pow.f64 x 3))))
(.f64 2 (+.f64 x (.f64 x (fma.f64 x x x))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 2 (pow.f64 x 3) (.f64 2 (+.f64 x (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (.f64 2 (+.f64 (+.f64 x (pow.f64 x 4)) (pow.f64 x 3))))
(.f64 2 (+.f64 (+.f64 x (.f64 x (fma.f64 x x x))) (pow.f64 x 4)))
(.f64 2 (+.f64 (pow.f64 x 4) (+.f64 x (.f64 x (fma.f64 x x x)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 1)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 2 (.f64 x (/.f64 1 (-.f64 1 x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 2 (/.f64 1 (/.f64 (-.f64 1 x) x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 x (.f64 2 (/.f64 1 (-.f64 1 x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (.f64 2 x) (/.f64 1 (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 1 (.f64 (/.f64 2 (-.f64 1 x)) x))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (sqrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (sqrt.f64 (.f64 2 x)) (.f64 (sqrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 2) (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (.f64 (cbrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 2 x))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(.f64 (/.f64 2 (/.f64 (-.f64 1 (.f64 x x)) x)) (+.f64 x 1))
(/.f64 (.f64 2 (fma.f64 x x x)) (-.f64 1 (.f64 x x)))
(*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 x 1))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (.f64 (.f64 2 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 x (fma.f64 x x 1)) (-.f64 (/.f64 1 x) (.f64 x x))) 2)
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3) 1/3)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 2))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log.f64 (exp.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (log.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 1))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))

eval58.0ms (1.8%)

Compiler: Compiled 2221 to 1801 computations (18.9% saved)

prune18.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	142	5	147

Error

Counts

147 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.23%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
▶	98.86%	(*.f64 1/2 (log1p.f64 (-.f64 -2 (/.f64 2 x))))
▶	0.67%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
▶	1.42%	(.f64 1/2 (log1p.f64 (.f64 2 x)))
▶	100%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 43 to 37 computations (14% saved)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize23.0ms (0.7%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

localize10.0ms (0.3%)

Compiler: Compiled 37 to 15 computations (59.5% saved)

localize30.0ms (0.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 -2 (/.f64 2 x))

Compiler

Compiled 27 to 22 computations (18.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1492×	`add-cube-cbrt`
1482×	`add-cbrt-cube`
152×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	158	13
2	1957	13

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify54.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1552×	`distribute-lft-in`
1456×	`distribute-rgt-in`
988×	`associate-r`
950×	`associate-*r/`
790×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	1022
1	211	826
2	774	816
3	3664	816

Stop Event

1×	node limit

Counts

42 → 39

Calls

Call 1

Inputs
(/.f64 -2 x)
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (/.f64 -2 x))
(+.f64 -2 (*.f64 (/.f64 -2 x) 1))
(+.f64 (/.f64 -2 x) -2)
(*.f64 (+.f64 -2 (/.f64 -2 x)) 1)
(*.f64 1 (+.f64 -2 (/.f64 -2 x)))
(*.f64 (sqrt.f64 (+.f64 -2 (/.f64 -2 x))) (sqrt.f64 (+.f64 -2 (/.f64 -2 x))))
(*.f64 (cbrt.f64 (+.f64 -2 (/.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 -2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 -2 (/.f64 -2 x))))
(.f64 (-.f64 4 (/.f64 4 (.f64 x x))) (/.f64 1 (+.f64 -2 (/.f64 2 x))))
(.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 x)))))
(/.f64 1 (/.f64 (+.f64 -2 (/.f64 2 x)) (-.f64 4 (/.f64 4 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 x))) (-.f64 -8 (/.f64 8 (pow.f64 x 3)))))
(/.f64 (-.f64 4 (/.f64 4 (*.f64 x x))) (+.f64 -2 (/.f64 2 x)))
(/.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) (+.f64 4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 x))))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 x) (/.f64 -2 x))) (-.f64 -2 (/.f64 -2 x)))
(/.f64 (+.f64 -8 (pow.f64 (/.f64 -2 x) 3)) (+.f64 4 (-.f64 (.f64 (/.f64 -2 x) (/.f64 -2 x)) (.f64 -2 (/.f64 -2 x)))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 x x)))) (neg.f64 (+.f64 -2 (/.f64 2 x))))
(/.f64 (neg.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 x)))))
(pow.f64 (+.f64 -2 (/.f64 -2 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 -2 (/.f64 -2 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 -2 x))) 3)
(pow.f64 (pow.f64 (+.f64 -2 (/.f64 -2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -2 (/.f64 -2 x)) 2))
(log.f64 (exp.f64 (+.f64 -2 (/.f64 -2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -2 (/.f64 -2 x)))))
(cbrt.f64 (pow.f64 (+.f64 -2 (/.f64 -2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
(exp.f64 (log.f64 (+.f64 -2 (/.f64 -2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 -2 (/.f64 -2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 -2 (/.f64 -2 x))))

Outputs
(/.f64 -2 x)
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(+.f64 -2 (/.f64 -2 x))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (*.f64 (/.f64 -2 x) 1))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(+.f64 (/.f64 -2 x) -2)
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(*.f64 (+.f64 -2 (/.f64 -2 x)) 1)
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(*.f64 1 (+.f64 -2 (/.f64 -2 x)))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(*.f64 (sqrt.f64 (+.f64 -2 (/.f64 -2 x))) (sqrt.f64 (+.f64 -2 (/.f64 -2 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(*.f64 (cbrt.f64 (+.f64 -2 (/.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 -2 x))) 2))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 -2 (/.f64 -2 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(.f64 (-.f64 4 (/.f64 4 (.f64 x x))) (/.f64 1 (+.f64 -2 (/.f64 2 x))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (-.f64 -2 (/.f64 -2 x)))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (+.f64 -2 (/.f64 2 x)))
(.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 x)))))
(/.f64 (.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 x))))
(/.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 2) 4))
(/.f64 (+.f64 -8 (/.f64 -8 (pow.f64 x 3))) (+.f64 4 (/.f64 (+.f64 -4 (/.f64 4 x)) x)))
(/.f64 1 (/.f64 (+.f64 -2 (/.f64 2 x)) (-.f64 4 (/.f64 4 (*.f64 x x)))))
(.f64 (-.f64 4 (/.f64 4 (.f64 x x))) (/.f64 1 (+.f64 -2 (/.f64 2 x))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (-.f64 -2 (/.f64 -2 x)))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (+.f64 -2 (/.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 x))) (-.f64 -8 (/.f64 8 (pow.f64 x 3)))))
(/.f64 (.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 x))))
(/.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 2) 4))
(/.f64 (+.f64 -8 (/.f64 -8 (pow.f64 x 3))) (+.f64 4 (/.f64 (+.f64 -4 (/.f64 4 x)) x)))
(/.f64 (-.f64 4 (/.f64 4 (*.f64 x x))) (+.f64 -2 (/.f64 2 x)))
(.f64 (-.f64 4 (/.f64 4 (.f64 x x))) (/.f64 1 (+.f64 -2 (/.f64 2 x))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (-.f64 -2 (/.f64 -2 x)))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (+.f64 -2 (/.f64 2 x)))
(/.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) (+.f64 4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 x))))
(/.f64 (.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 x))))
(/.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 2) 4))
(/.f64 (+.f64 -8 (/.f64 -8 (pow.f64 x 3))) (+.f64 4 (/.f64 (+.f64 -4 (/.f64 4 x)) x)))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 x) (/.f64 -2 x))) (-.f64 -2 (/.f64 -2 x)))
(.f64 (-.f64 4 (/.f64 4 (.f64 x x))) (/.f64 1 (+.f64 -2 (/.f64 2 x))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (-.f64 -2 (/.f64 -2 x)))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (+.f64 -2 (/.f64 2 x)))
(/.f64 (+.f64 -8 (pow.f64 (/.f64 -2 x) 3)) (+.f64 4 (-.f64 (.f64 (/.f64 -2 x) (/.f64 -2 x)) (.f64 -2 (/.f64 -2 x)))))
(/.f64 (.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 x))))
(/.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 2) 4))
(/.f64 (+.f64 -8 (/.f64 -8 (pow.f64 x 3))) (+.f64 4 (/.f64 (+.f64 -4 (/.f64 4 x)) x)))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 x x)))) (neg.f64 (+.f64 -2 (/.f64 2 x))))
(.f64 (-.f64 4 (/.f64 4 (.f64 x x))) (/.f64 1 (+.f64 -2 (/.f64 2 x))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (-.f64 -2 (/.f64 -2 x)))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 x x))) (+.f64 -2 (/.f64 2 x)))
(/.f64 (neg.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 x)))))
(/.f64 (.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) 1) (+.f64 4 (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 x))))
(/.f64 (-.f64 -8 (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) 2) 4))
(/.f64 (+.f64 -8 (/.f64 -8 (pow.f64 x 3))) (+.f64 4 (/.f64 (+.f64 -4 (/.f64 4 x)) x)))
(pow.f64 (+.f64 -2 (/.f64 -2 x)) 1)
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(pow.f64 (sqrt.f64 (+.f64 -2 (/.f64 -2 x))) 2)
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 -2 x))) 3)
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(pow.f64 (pow.f64 (+.f64 -2 (/.f64 -2 x)) 3) 1/3)
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(sqrt.f64 (pow.f64 (+.f64 -2 (/.f64 -2 x)) 2))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(log.f64 (exp.f64 (+.f64 -2 (/.f64 -2 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -2 (/.f64 -2 x)))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(cbrt.f64 (pow.f64 (+.f64 -2 (/.f64 -2 x)) 3))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(expm1.f64 (log1p.f64 (+.f64 -2 (/.f64 -2 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(exp.f64 (log.f64 (+.f64 -2 (/.f64 -2 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 -2 (/.f64 -2 x))) 1))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(log1p.f64 (expm1.f64 (+.f64 -2 (/.f64 -2 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))

eval12.0ms (0.4%)

Compiler: Compiled 564 to 477 computations (15.4% saved)

prune7.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	38	6	44

Error

Counts

44 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.23%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
▶	98.86%	(*.f64 1/2 (log1p.f64 (/.f64 -2 x)))
✓	98.86%	(*.f64 1/2 (log1p.f64 (-.f64 -2 (/.f64 2 x))))
✓	0.67%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
✓	1.42%	(.f64 1/2 (log1p.f64 (.f64 2 x)))
✓	100%	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 50 to 43 computations (14% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (/.f64 -2 x))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (/.f64 -2 x))
0.0ms	x	@	inf	(log1p.f64 (/.f64 -2 x))
0.0ms	x	@	-inf	(log1p.f64 (/.f64 -2 x))

rewrite86.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`add-sqr-sqrt`
1294×	`*-un-lft-identity`
1208×	`add-cube-cbrt`
1196×	`add-cbrt-cube`
1182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	144	11
2	1654	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(log1p.f64 (/.f64 -2 x))

Outputs

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

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1586×	`fma-def`
1058×	`associate-+l-`
962×	`*-commutative`
836×	`associate-+r-`
660×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	783
1	174	653
2	696	563
3	2770	551
4	7141	551

Stop Event

1×	node limit

Counts

27 → 50

Calls

Call 1

Inputs
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 x) (+.f64 (log.f64 -2) (.f64 -1 (log.f64 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 (log.f64 -2) (.f64 -1 (log.f64 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) 1)
(*.f64 (log1p.f64 (/.f64 -2 x)) 1)
(*.f64 1 (log1p.f64 (/.f64 -2 x)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 -2 x))) (sqrt.f64 (log1p.f64 (/.f64 -2 x))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 -2 x))))
(pow.f64 (log1p.f64 (/.f64 -2 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 -2 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 -2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 -2 x)) 2))
(log.f64 (+.f64 (/.f64 -2 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 -2 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 -2 x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 -2 x))))

Outputs
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -2) (log.f64 x))
(+.f64 (.f64 -1/2 x) (+.f64 (log.f64 -2) (.f64 -1 (log.f64 x))))
(fma.f64 -1/2 x (+.f64 (log.f64 -2) (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 x -1/2 (log.f64 -2)) (log.f64 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 x)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (+.f64 (log.f64 -2) (neg.f64 (log.f64 x)))))
(fma.f64 -1/8 (*.f64 x x) (-.f64 (fma.f64 x -1/2 (log.f64 -2)) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/8) (fma.f64 x -1/2 (log.f64 -2))) (log.f64 x))
(-.f64 (fma.f64 x (fma.f64 x -1/8 -1/2) (log.f64 -2)) (log.f64 x))
(+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 (log.f64 -2) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (+.f64 (log.f64 -2) (neg.f64 (log.f64 x))))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/8 (*.f64 x x) (-.f64 (fma.f64 x -1/2 (log.f64 -2)) (log.f64 x))))
(fma.f64 -1/24 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x -1/8) (fma.f64 x -1/2 (log.f64 -2))) (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/24 -1/8)) (fma.f64 x -1/2 (log.f64 -2))) (log.f64 x))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x))
(neg.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)) (/.f64 -8/3 (pow.f64 x 3)))
(-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)) (/.f64 -8/3 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))) (/.f64 4 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -8/3 (pow.f64 x 3))) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x)) (+.f64 (/.f64 -8/3 (pow.f64 x 3)) (/.f64 -4 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)) (+.f64 (/.f64 -8/3 (pow.f64 x 3)) (/.f64 -4 (pow.f64 x 4))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x))
(neg.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)) (/.f64 -8/3 (pow.f64 x 3)))
(-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)) (/.f64 -8/3 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))) (/.f64 4 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -8/3 (pow.f64 x 3))) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x)) (+.f64 (/.f64 -8/3 (pow.f64 x 3)) (/.f64 -4 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)) (+.f64 (/.f64 -8/3 (pow.f64 x 3)) (/.f64 -4 (pow.f64 x 4))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(*.f64 (log1p.f64 (/.f64 -2 x)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(*.f64 1 (log1p.f64 (/.f64 -2 x)))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 -2 x))) (sqrt.f64 (log1p.f64 (/.f64 -2 x))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 x))) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 -2 x))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(pow.f64 (log1p.f64 (/.f64 -2 x)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 -2 x))) 2)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 x))) 3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 -2 x)) 3) 1/3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 -2 x)) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(log.f64 (+.f64 (/.f64 -2 x) 1))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 -2 x)) 3))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 -2 x))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))
(exp.f64 (log.f64 (log1p.f64 (/.f64 -2 x))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 -2 x))) -1)
(+.f64 (log1p.f64 (/.f64 -2 x)) 0)
(log1p.f64 (/.f64 -2 x))

eval29.0ms (0.9%)

Compiler: Compiled 696 to 536 computations (23% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	50	6	56

Error

Counts

56 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	98.44%	(*.f64 1/2 (/.f64 -2 x))
▶	98.65%	(.f64 1/2 (-.f64 (/.f64 -2 (.f64 x x)) (/.f64 2 x)))
▶	98.65%	(*.f64 1/2 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)))
✓	0.23%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
✓	0.67%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
✓	1.42%	(.f64 1/2 (log1p.f64 (.f64 2 x)))

Compiler

Compiled 59 to 47 computations (20.3% saved)

localize50.0ms (1.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x))
✓	0.21%	(/.f64 (/.f64 2 x) x)

Compiler

Compiled 36 to 25 computations (30.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`associate-/l*`
1160×	`associate-/r/`
922×	`*-commutative`
922×	`associate-/l/`
444×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	213	32
2	3244	32

Stop Event

1×	node limit

Counts

2 → 299

Calls

Call 1

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

Outputs

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

simplify198.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-r`
1558×	`associate-/r*`
1252×	`associate-l`
1204×	`associate-/l*`
1020×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	685	15047
1	2283	13665

Stop Event

1×	node limit

Counts

323 → 534

Calls

Call 1

Inputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(+.f64 0 (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))) 1)
(-.f64 0 (/.f64 2 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 x x)))) 1)
(.f64 2 (.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 2 (/.f64 1 (.f64 x x)))
(.f64 (/.f64 2 (.f64 x x)) 1)
(.f64 (/.f64 2 (.f64 x x)) -1)
(*.f64 (/.f64 2 x) (/.f64 1 x))
(*.f64 (/.f64 2 x) (neg.f64 (/.f64 1 x)))
(*.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))
(.f64 1 (/.f64 2 (.f64 x x)))
(.f64 (sqrt.f64 (/.f64 2 x)) (.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 (sqrt.f64 (/.f64 2 x)) x))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(*.f64 (/.f64 (sqrt.f64 2) x) (neg.f64 (/.f64 (sqrt.f64 2) x)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2))
(.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2)))
(.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) 2) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) 2) (neg.f64 (cbrt.f64 (/.f64 2 (*.f64 x x)))))
(*.f64 (/.f64 1 x) (/.f64 2 x))
(.f64 (.f64 (/.f64 1 x) (/.f64 1 x)) 2)
(.f64 (.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)) (sqrt.f64 (/.f64 2 x)))
(.f64 (.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))
(.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 1 (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(.f64 (/.f64 2 (.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(.f64 -1 (/.f64 2 (.f64 x x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 2) x)) (/.f64 (sqrt.f64 2) x))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) 2)) (cbrt.f64 (/.f64 2 (*.f64 x x))))
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 2 x))
(.f64 (neg.f64 (cbrt.f64 (/.f64 2 (.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 2))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 2 x))
(.f64 (/.f64 1 (.f64 x x)) 2)
(.f64 (/.f64 1 (.f64 x x)) -2)
(.f64 (/.f64 1 (.f64 x (sqrt.f64 x))) (/.f64 -2 (sqrt.f64 x)))
(.f64 (/.f64 1 (.f64 x (sqrt.f64 x))) (/.f64 2 (sqrt.f64 x)))
(.f64 (/.f64 1 (.f64 x (cbrt.f64 x))) (/.f64 2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) x) (sqrt.f64 (/.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 2 (.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) x) (cbrt.f64 (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 2 x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -2 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (cbrt.f64 x)))
(*.f64 (/.f64 -1 x) (/.f64 2 x))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))
(.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (cbrt.f64 (/.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) 2)
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -2)
(*.f64 (/.f64 -1 (/.f64 x 1)) (/.f64 2 x))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (/.f64 2 x)))) (sqrt.f64 (/.f64 2 x)))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (cbrt.f64 (/.f64 2 x)))
(pow.f64 (/.f64 2 (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)
(pow.f64 (.f64 x (.f64 x 1/2)) -1)
(pow.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)) 1/3)
(neg.f64 (/.f64 2 (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 2 (*.f64 x x))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 2 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 x x)))))
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (.f64 x x)) (+.f64 (/.f64 2 x) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 2 x) (/.f64 2 (.f64 x x)))))
(+.f64 (/.f64 2 (.f64 x x)) (+.f64 (/.f64 2 x) (fma.f64 (/.f64 2 (.f64 x x)) 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 (.f64 x x)) (+.f64 (/.f64 2 x) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 2) x)) (/.f64 (sqrt.f64 2) x) (/.f64 2 (.f64 x x)))))
(+.f64 (/.f64 2 (.f64 x x)) (+.f64 (/.f64 2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 (.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) 2) (/.f64 2 (.f64 x x)))))
(+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 2 x) (/.f64 2 (.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (/.f64 2 (.f64 x x)) 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 2) x)) (/.f64 (sqrt.f64 2) x) (/.f64 2 (.f64 x x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (.f64 x x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 (.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 2 (.f64 x x))) 2) (/.f64 2 (.f64 x x)))))
(+.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (fma.f64 (/.f64 2 (.f64 x x)) 1 (/.f64 2 (.f64 x x))))
(+.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 2) x)) (/.f64 (sqrt.f64 2) x) (/.f64 2 (*.f64 x x))))
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(.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))
(.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x 1/2)) (/.f64 1 x))
(.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (*.f64 x 1/2))) (neg.f64 x)) (/.f64 2 x))
(.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (*.f64 x 1/2))) (/.f64 x 1)) (/.f64 2 x))
(.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (*.f64 x 1/2))) (/.f64 x (sqrt.f64 (/.f64 2 x)))) (sqrt.f64 (/.f64 2 x)))
(.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (*.f64 x 1/2))) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (cbrt.f64 (/.f64 2 x)))
(.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (*.f64 x 1/2))) x) (/.f64 2 x))
(.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (.f64 x x)))
(.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))
(.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (.f64 x (cbrt.f64 x))))
(.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x 1/2)) (/.f64 1 x))
(.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (*.f64 x 1/2))) (neg.f64 x)) (/.f64 2 x))
(.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (*.f64 x 1/2))) (/.f64 x 1)) (/.f64 2 x))
(.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (*.f64 x 1/2))) (/.f64 x (sqrt.f64 (/.f64 2 x)))) (sqrt.f64 (/.f64 2 x)))
(.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (*.f64 x 1/2))) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (cbrt.f64 (/.f64 2 x)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (/.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 1 (/.f64 x (+.f64 -2 (/.f64 2 x))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)) (/.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (*.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (sqrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2)) (/.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (*.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))))
(/.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 3) (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2))
(/.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 (+.f64 -2 (/.f64 2 x)) x))
(/.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (*.f64 x x) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))) (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(/.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) (*.f64 x x))
(/.f64 (sqrt.f64 (+.f64 -2 (/.f64 2 x))) (/.f64 x (sqrt.f64 (+.f64 -2 (/.f64 2 x)))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))) (sqrt.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (/.f64 (.f64 x x) (sqrt.f64 (-.f64 (.f64 x -2) (*.f64 (/.f64 x x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -2 (/.f64 2 x))) (cbrt.f64 (+.f64 -2 (/.f64 2 x)))) (/.f64 x (cbrt.f64 (+.f64 -2 (/.f64 2 x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))) (cbrt.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))))) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))) (cbrt.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (cbrt.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)))) (/.f64 (.f64 x x) (cbrt.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)))))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2)) (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 3))
(/.f64 (*.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (sqrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x))) (sqrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 (.f64 (+.f64 -2 (/.f64 2 x)) (+.f64 -2 (/.f64 2 x))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2))) (/.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2))))
(/.f64 (.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2))) (/.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (*.f64 x x) 3))))
(/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (+.f64 -2 (/.f64 2 x))) (.f64 x (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) x) x)
(/.f64 (-.f64 (.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))) (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))))
(/.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (*.f64 x x) 3))) (-.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 x x))) (.f64 x (+.f64 -2 (/.f64 2 x))))
(/.f64 (-.f64 (.f64 (.f64 x -2) (.f64 x -2)) (.f64 (.f64 (/.f64 x x) 2) (.f64 (/.f64 x x) 2))) (.f64 (.f64 x x) (+.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))))
(/.f64 (+.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 4 (.f64 x x)) (/.f64 4 (.f64 x x))) (.f64 (pow.f64 (/.f64 2 (.f64 x x)) 2) (pow.f64 (/.f64 2 (.f64 x x)) 2))) (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 3))
(/.f64 (-.f64 (pow.f64 (/.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))) (+.f64 (.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -8 (pow.f64 x 3))) (+.f64 (.f64 (/.f64 8 (pow.f64 (.f64 x x) 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))))))
(/.f64 (-.f64 -8 (/.f64 -8 (pow.f64 x 3))) (.f64 x (+.f64 4 (+.f64 (/.f64 4 (.f64 x x)) (*.f64 -2 (/.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 x -2) 3) (pow.f64 (.f64 (/.f64 x x) 2) 3)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x -2) (.f64 x -2)) (+.f64 (.f64 (.f64 (/.f64 x x) 2) (.f64 (/.f64 x x) 2)) (.f64 (.f64 x -2) (*.f64 (/.f64 x x) 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 4 (.f64 x x)) 3) (pow.f64 (pow.f64 (/.f64 2 (.f64 x x)) 2) 3)) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (+.f64 (.f64 (/.f64 4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (.f64 (pow.f64 (/.f64 2 (.f64 x x)) 2) (pow.f64 (/.f64 2 (.f64 x x)) 2)) (.f64 (/.f64 4 (.f64 x x)) (pow.f64 (/.f64 2 (.f64 x x)) 2))))))
(/.f64 (+.f64 2 (/.f64 2 x)) (neg.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 x x)) (.f64 2 (neg.f64 x))) (.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (+.f64 (.f64 2 x) (.f64 (/.f64 2 x) (neg.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (.f64 2 (.f64 x (.f64 x 1/2)))) (.f64 (.f64 x (.f64 x 1/2)) (neg.f64 x)))
(/.f64 (+.f64 (.f64 (/.f64 2 x) (neg.f64 x)) (.f64 2 (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (+.f64 (.f64 2 x) (.f64 -2 (*.f64 x x))) (pow.f64 x 3))
(/.f64 (+.f64 x (.f64 -2 (.f64 x (.f64 x 1/2)))) (.f64 x (.f64 x (.f64 x 1/2))))
(/.f64 (+.f64 (.f64 (/.f64 x x) 2) (.f64 -2 (neg.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (.f64 x 1/2)))
(/.f64 (+.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))
(/.f64 (+.f64 (.f64 x (.f64 x 1/2)) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x 1/2)) (*.f64 x 1/2)))
(/.f64 (+.f64 (neg.f64 x) (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))
(/.f64 (-.f64 (.f64 2 (.f64 x x)) (.f64 2 (neg.f64 x))) (.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 2 x) (.f64 (/.f64 2 x) (neg.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 2 (.f64 x (.f64 x 1/2))) (neg.f64 x)) (.f64 (.f64 x (.f64 x 1/2)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 2 (neg.f64 x)) (.f64 (/.f64 2 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 -2 (.f64 x x)) (*.f64 2 x)) (pow.f64 x 3))
(/.f64 (-.f64 (.f64 -2 (.f64 x (.f64 x 1/2))) x) (.f64 x (.f64 x (.f64 x 1/2))))
(/.f64 (-.f64 (.f64 -2 (neg.f64 x)) (.f64 (/.f64 x x) 2)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (.f64 x 1/2)))
(/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/2)) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x 1/2)) (*.f64 x 1/2)))
(/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))
(/.f64 (.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))))
(/.f64 (.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (+.f64 -2 (/.f64 2 x))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (*.f64 x (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(/.f64 (.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (+.f64 -2 (/.f64 2 x))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))))
(/.f64 (.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (*.f64 x x) (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 -2 (/.f64 2 x)) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (pow.f64 x 3)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2)) (neg.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3)))))
(/.f64 (neg.f64 (+.f64 -2 (/.f64 2 x))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (neg.f64 (*.f64 x x)))
(pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(fma.f64 -2 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(fma.f64 1 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))

Outputs
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 (/.f64 2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 x)))
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(/.f64 (-.f64 (.f64 2 (.f64 x (.f64 x 1/2))) (neg.f64 x)) (neg.f64 (.f64 (pow.f64 x 3) 1/2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1)) (neg.f64 x)) (*.f64 (neg.f64 (pow.f64 x 3)) 1/2))
(/.f64 (-.f64 (.f64 2 (neg.f64 x)) (.f64 (/.f64 2 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(/.f64 (-.f64 (.f64 -2 (.f64 x x)) (*.f64 2 x)) (pow.f64 x 3))
(/.f64 (+.f64 (.f64 (.f64 x -2) x) (*.f64 x -2)) (pow.f64 x 3))
(/.f64 (fma.f64 -2 (.f64 x x) (.f64 x -2)) (pow.f64 x 3))
(/.f64 (-.f64 (.f64 -2 (.f64 x (.f64 x 1/2))) x) (.f64 x (.f64 x (.f64 x 1/2))))
(/.f64 (-.f64 (.f64 (.f64 x -2) (.f64 x 1/2)) x) (.f64 (pow.f64 x 3) 1/2))
(/.f64 (-.f64 (.f64 x (neg.f64 x)) x) (.f64 1/2 (pow.f64 x 3)))
(/.f64 (-.f64 (.f64 -2 (neg.f64 x)) (.f64 (/.f64 x x) 2)) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(/.f64 (-.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (.f64 x 1/2)))
(/.f64 (+.f64 (.f64 x x) (.f64 -2 (.f64 x 1/2))) (.f64 (pow.f64 x 3) 1/2))
(/.f64 (+.f64 (.f64 x x) (neg.f64 x)) (.f64 1/2 (pow.f64 x 3)))
(/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))
(/.f64 (-.f64 2 (/.f64 2 x)) x)
(/.f64 (-.f64 (.f64 x (.f64 x 1/2)) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x 1/2)) (*.f64 x 1/2)))
(/.f64 (.f64 x (-.f64 (.f64 x 1/2) 1/2)) (.f64 (.f64 (pow.f64 x 3) 1/2) 1/2))
(/.f64 x (/.f64 (.f64 (pow.f64 x 3) 1/4) (-.f64 (.f64 x 1/2) 1/2)))
(/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 2 x) (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))
(/.f64 (.f64 (fma.f64 x -2 -2) 1) (.f64 x x))
(/.f64 (-.f64 -2 (/.f64 2 x)) x)
(/.f64 (.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))))
(/.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (/.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))))
(.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (/.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (+.f64 -2 (/.f64 2 x))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (*.f64 x (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(/.f64 (.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x x))))
(/.f64 (.f64 (fma.f64 x -2 -2) 1) (.f64 x x))
(/.f64 (-.f64 -2 (/.f64 2 x)) x)
(/.f64 (.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (+.f64 -2 (/.f64 2 x))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 -2 (/.f64 2 x)) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))))
(/.f64 (/.f64 (.f64 (+.f64 -2 (/.f64 2 x)) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3)))) (/.f64 (fma.f64 x -2 2) x)) (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (*.f64 x x) (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))))
(.f64 (/.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (/.f64 (+.f64 -2 (/.f64 2 x)) x)) (/.f64 (fma.f64 x -2 -2) (.f64 x (.f64 x (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3)))))))
(/.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (.f64 x x) 3))) (/.f64 (.f64 x (/.f64 (fma.f64 x -2 2) x)) (/.f64 (fma.f64 x -2 -2) (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 -2 (/.f64 2 x)) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) (/.f64 (+.f64 -2 (/.f64 2 x)) x)) (/.f64 (fma.f64 x -2 -2) (pow.f64 x 3)))
(/.f64 (+.f64 -2 (/.f64 2 x)) (/.f64 (.f64 x (.f64 x (/.f64 (fma.f64 x -2 2) x))) (fma.f64 x -2 -2)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2)) (neg.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2)) (/.f64 (+.f64 2 (neg.f64 (/.f64 2 x))) x))
(/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2)) (/.f64 (-.f64 2 (/.f64 2 x)) x))
(/.f64 (neg.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2) (/.f64 4 (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 (*.f64 x x) 3)))) (-.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2)) (/.f64 4 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 -2 (/.f64 2 x))) (neg.f64 x))
(/.f64 (+.f64 2 (neg.f64 (/.f64 2 x))) (neg.f64 x))
(/.f64 (-.f64 2 (/.f64 2 x)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 x -2 -2)) (*.f64 x (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 -2 (/.f64 2 x)) (neg.f64 x)))
(pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 1)
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)) 2)
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)) 3)
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 3) 1/3)
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) 3))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(exp.f64 (log.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x)))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(fma.f64 -2 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(/.f64 (+.f64 -2 (/.f64 2 x)) x)
(fma.f64 1 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (/.f64 (/.f64 2 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (/.f64 (/.f64 2 x) x))

localize16.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))
✓	0.23%	(/.f64 -2 (*.f64 x x))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite119.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`associate-/r*`
956×	`*-commutative`
614×	`associate-/l*`
516×	`swap-sqr`
438×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	209	32
2	2926	32

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.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 (/.f64 -2 x) x) (+.f64 (/.f64 -2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 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simplify187.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

934×	`+-commutative`
926×	`fma-def`
786×	`associate-/r*`
754×	`associate-r`
658×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	557	11398
1	1592	9730
2	7884	9730

Stop Event

1×	node limit

Counts

234 → 323

Calls

Call 1

Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
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(/.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 -2 (.f64 x 2)))) (cbrt.f64 (.f64 x (-.f64 -2 (.f64 x 2))))) (/.f64 (pow.f64 x 3) (cbrt.f64 (.f64 x (-.f64 -2 (*.f64 x 2))))))
(/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (*.f64 x x)) x)
(/.f64 (-.f64 (.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4))) (.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))) (.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 4 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 4) 4)) (.f64 (pow.f64 x 3) (.f64 x (+.f64 -2 (.f64 x 2)))))
(/.f64 (+.f64 (.f64 64 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3))) (.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 (pow.f64 x 3)))) (+.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) (/.f64 8 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) (pow.f64 (/.f64 -2 x) 3)) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (/.f64 4 (*.f64 x x)) (neg.f64 (/.f64 -4 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3) (pow.f64 (/.f64 4 (.f64 x x)) 3)) (.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x)) (+.f64 (.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4))) (.f64 (/.f64 4 (.f64 x x)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 4 (pow.f64 x 4)))))))
(/.f64 (-.f64 (pow.f64 (.f64 -2 x) 3) (pow.f64 (.f64 x (.f64 x 2)) 3)) (.f64 (pow.f64 x 3) (+.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 x (.f64 x 2)) (.f64 x (+.f64 -2 (*.f64 x 2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 (pow.f64 x 3)))) (+.f64 (.f64 64 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3))) (*.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) (/.f64 8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (/.f64 -2 x) 2) x)
(/.f64 (-.f64 (.f64 -2 (.f64 x 1/2)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x 1/2)))
(/.f64 (+.f64 (.f64 2 (neg.f64 x)) (.f64 -2 (*.f64 x x))) (neg.f64 (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 x 2) (.f64 x (*.f64 x 2))) (neg.f64 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 2 (.f64 x 1/2)) (.f64 x x)) (.f64 (.f64 x 1/2) (.f64 x (neg.f64 x))))
(/.f64 (-.f64 (neg.f64 x) (.f64 -2 (.f64 (.f64 x -1/2) x))) (.f64 (.f64 (.f64 x -1/2) x) (neg.f64 x)))
(/.f64 (-.f64 x (.f64 2 (.f64 (.f64 x -1/2) x))) (.f64 x (.f64 (.f64 x -1/2) x)))
(/.f64 (-.f64 (.f64 x 1/2) (.f64 (.f64 x -1/2) x)) (.f64 (.f64 (.f64 x -1/2) x) (*.f64 x 1/2)))
(/.f64 (+.f64 (.f64 (/.f64 -2 x) (neg.f64 x)) (.f64 x 2)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 -2 x) (.f64 x 1/2)) x) (.f64 x (.f64 x 1/2)))
(/.f64 (+.f64 (neg.f64 (/.f64 4 (pow.f64 x 4))) (/.f64 4 (*.f64 x x))) (neg.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) (/.f64 -8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 (pow.f64 x 3))))))
(/.f64 (neg.f64 (.f64 x (-.f64 -2 (.f64 x 2)))) (neg.f64 (pow.f64 x 3)))
(/.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -4 (*.f64 x x))) 1) (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x)))
(/.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -4 (*.f64 x x))) (sqrt.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x)))) (sqrt.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x))))
(/.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -4 (.f64 x x))) (.f64 (cbrt.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x))) (cbrt.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x))))) (cbrt.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) (/.f64 -8 (pow.f64 x 3))) 1) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) (/.f64 -8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 (pow.f64 x 3)))))) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) (/.f64 -8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 (pow.f64 x 3))))))) (cbrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -4 (pow.f64 x 3))))))
(/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) x) (*.f64 x x))
(/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) 1) (pow.f64 x 3))
(/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (cbrt.f64 (pow.f64 x 4))) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (sqrt.f64 (pow.f64 x 3))) (sqrt.f64 (pow.f64 x 3)))
(/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (.f64 x (sqrt.f64 x))) (.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (.f64 (.f64 x x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (*.f64 x x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (*.f64 x x)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) 1) x)
(/.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (.f64 x (-.f64 -2 (.f64 x 2)))) (*.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (.f64 -2 (.f64 x 1/2)) (.f64 x x)) (.f64 x x)) (*.f64 x 1/2))
(/.f64 (/.f64 (+.f64 (.f64 2 (neg.f64 x)) (.f64 -2 (.f64 x x))) (.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 x 2) (.f64 x (.f64 x 2))) (.f64 x (neg.f64 x))) x)
(/.f64 (/.f64 (+.f64 (.f64 2 (.f64 x 1/2)) (.f64 x x)) (.f64 x (neg.f64 x))) (*.f64 x 1/2))
(/.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 -2 (.f64 (.f64 x -1/2) x))) (.f64 (*.f64 x -1/2) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 x (.f64 2 (.f64 (.f64 x -1/2) x))) (.f64 (*.f64 x -1/2) x)) x)
(/.f64 (/.f64 (-.f64 (.f64 x 1/2) (.f64 (.f64 x -1/2) x)) (.f64 (.f64 x -1/2) x)) (.f64 x 1/2))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 -2 x) (neg.f64 x)) (.f64 x 2)) x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 -2 x) (neg.f64 x)) (.f64 x 2)) 1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 -2 x) (neg.f64 x)) (.f64 x 2)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 -2 x) (neg.f64 x)) (.f64 x 2)) (neg.f64 x)) x)
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 -2 x) (neg.f64 x)) (.f64 x 2)) (sqrt.f64 (.f64 x (neg.f64 x)))) (sqrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 -2 x) (neg.f64 x)) (.f64 x 2)) (.f64 (cbrt.f64 (.f64 x (neg.f64 x))) (cbrt.f64 (.f64 x (neg.f64 x))))) (cbrt.f64 (.f64 x (neg.f64 x))))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 -2 x) (neg.f64 x)) (.f64 x 2)) -1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (.f64 (/.f64 -2 x) (neg.f64 x)) (.f64 x 2)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) x) x)
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) 1) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 -2 x) (.f64 x 1/2)) x) x) (*.f64 x 1/2))
(pow.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -4 (*.f64 x x))) (neg.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) (/.f64 -8 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 (pow.f64 x 3)))))))
(neg.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (neg.f64 (pow.f64 x 3))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)))
(fma.f64 -2 (pow.f64 x -2) (/.f64 -2 x))
(fma.f64 1 (/.f64 (/.f64 -2 x) x) (/.f64 -2 x))
(fma.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 -2 x) x)) (/.f64 -2 x))

Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -2 x) x))) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (/.f64 -2 x) x) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(.f64 2 (/.f64 -1 (.f64 x x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 1 (/.f64 (/.f64 -2 x) x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(*.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 -2 (.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 -2 x) x)))
(.f64 (cbrt.f64 (/.f64 -2 (.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) -2)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 -2 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)))
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(/.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
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(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (.f64 x (+.f64 -2 (/.f64 -2 x))) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (+.f64 -2 (.f64 -2 x)) (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(/.f64 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 -2 x) (.f64 x 1/2)) x) x) (*.f64 x 1/2))
(/.f64 (-.f64 (.f64 -2 (.f64 x 1/2)) (.f64 x x)) (.f64 (pow.f64 x 3) 1/2))
(/.f64 (+.f64 (/.f64 2 x) 2) (neg.f64 x))
(/.f64 (+.f64 2 (/.f64 2 x)) (neg.f64 x))
(pow.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) 1)
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)) 2)
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)) 3)
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) 3) 1/3)
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(neg.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 -4 (*.f64 x x))) (neg.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x)))))
(/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 (pow.f64 x 4))) (neg.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) (/.f64 -8 (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 -2 (.f64 x x)) 3) (/.f64 -8 (pow.f64 x 3)))) (neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (.f64 x x))) (/.f64 -4 (pow.f64 x 3)))))
(/.f64 (-.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 -8 (pow.f64 (*.f64 x x) 3))) (+.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -4 x) x) (/.f64 4 (pow.f64 x 3)))))
(neg.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (neg.f64 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) x) 2))
(fabs.f64 (/.f64 (+.f64 -2 (/.f64 -2 x)) x))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x) 3))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 -2 x) 2) x)))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(fma.f64 -2 (pow.f64 x -2) (/.f64 -2 x))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(fma.f64 1 (/.f64 (/.f64 -2 x) x) (/.f64 -2 x))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(/.f64 (+.f64 -2 (/.f64 -2 x)) x)
(fma.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x) (/.f64 -2 x))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 -2) x) 2) (/.f64 -2 x))
(+.f64 (/.f64 -2 x) (pow.f64 (/.f64 (sqrt.f64 -2) x) 2))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 -2 x) x)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 -2 (*.f64 x x))) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (/.f64 -2 x))

localize6.0ms (0.2%)

Compiler: Compiled 12 to 9 computations (25% saved)

eval474.0ms (14.3%)

Compiler: Compiled 20785 to 15010 computations (27.8% saved)

prune300.0ms (9.1%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	836	21	857
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	837	26	863

Error

Counts

863 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	98.65%	(.f64 1/2 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (.f64 x x)) x))
	98.65%	(*.f64 1/2 (/.f64 (-.f64 (/.f64 -2 x) 2) x))
	98.65%	(.f64 1/2 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (.f64 x x)))
	98.88%	(.f64 1/2 (/.f64 (-.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
	98.56%	(.f64 1/2 (/.f64 (-.f64 1 x) (.f64 x (*.f64 x 1/2))))
	98.78%	(.f64 1/2 (/.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
	98.76%	(.f64 1/2 (/.f64 (+.f64 (.f64 2 (.f64 x x)) (.f64 2 (neg.f64 x))) (.f64 (.f64 x x) (neg.f64 x))))
	98.56%	(*.f64 1/2 (/.f64 (+.f64 -2 (/.f64 2 x)) x))
	98.65%	(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x x))))
	98.81%	(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (+.f64 -2 (/.f64 2 x))) (*.f64 x (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
	98.94%	(.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (.f64 x x) (.f64 x x)))))
	98.56%	(*.f64 1/2 (/.f64 1 (/.f64 x (+.f64 -2 (/.f64 2 x)))))
	98.66%	(.f64 1/2 (/.f64 -2 (.f64 x x)))
✓	98.44%	(*.f64 1/2 (/.f64 -2 x))
✓	98.65%	(*.f64 1/2 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)))
	98.56%	(.f64 1/2 (-.f64 (/.f64 -2 x) (neg.f64 (/.f64 2 (.f64 x x)))))
	98.56%	(.f64 1/2 (+.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 2 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 (*.f64 x x))))))
	98.56%	(.f64 1/2 (+.f64 (/.f64 -2 (.f64 x x)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
	98.56%	(.f64 1/2 (.f64 (/.f64 (/.f64 2 x) x) (-.f64 1 x)))
	98.66%	(.f64 1/2 (.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
	98.56%	(.f64 1/2 (.f64 (/.f64 (+.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
	98.56%	(.f64 1/2 (.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) x)))
	98.65%	(.f64 1/2 (.f64 (/.f64 2 x) (-.f64 -1 (/.f64 1 x))))
✓	0.23%	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
✓	0.67%	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
✓	1.42%	(.f64 1/2 (log1p.f64 (.f64 2 x)))

Compiler

Compiled 422 to 308 computations (27% saved)

regimes114.0ms (3.4%)

Counts

31 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 -2 x))
(.f64 1/2 (/.f64 -2 (.f64 x x)))
(*.f64 1/2 (/.f64 (+.f64 -2 (/.f64 2 x)) x))
(*.f64 1/2 (/.f64 (-.f64 (/.f64 -2 x) 2) x))
(.f64 1/2 (.f64 (/.f64 2 x) (-.f64 -1 (/.f64 1 x))))
(.f64 1/2 (.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) x)))
(.f64 1/2 (.f64 (/.f64 (/.f64 2 x) x) (-.f64 1 x)))
(*.f64 1/2 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)))
(.f64 1/2 (-.f64 (/.f64 -2 (.f64 x x)) (/.f64 2 x)))
(*.f64 1/2 (/.f64 1 (/.f64 x (+.f64 -2 (/.f64 2 x)))))
(.f64 1/2 (/.f64 (-.f64 1 x) (.f64 x (*.f64 x 1/2))))
(.f64 1/2 (-.f64 (/.f64 -2 x) (neg.f64 (/.f64 2 (.f64 x x)))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (.f64 x x)))
(.f64 1/2 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (.f64 x x)) x))
(.f64 1/2 (.f64 (/.f64 (+.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 2 (.f64 x x)) (.f64 2 (neg.f64 x))) (.f64 (.f64 x x) (neg.f64 x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (+.f64 (/.f64 -2 (.f64 x x)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (+.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 2 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 (*.f64 x x))))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (+.f64 -2 (/.f64 2 x))) (*.f64 x (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x x))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (.f64 x x) (.f64 x x)))))
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 (/.f64 -2 x)))
(*.f64 1/2 (log1p.f64 (-.f64 -2 (/.f64 2 x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Calls

4 calls:

45.0ms	x
30.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
15.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
15.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
0.02%	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
0.02%	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 466 to 323 computations (30.7% saved)

regimes32.0ms (1%)

Counts

30 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 -2 x))
(.f64 1/2 (/.f64 -2 (.f64 x x)))
(*.f64 1/2 (/.f64 (+.f64 -2 (/.f64 2 x)) x))
(*.f64 1/2 (/.f64 (-.f64 (/.f64 -2 x) 2) x))
(.f64 1/2 (.f64 (/.f64 2 x) (-.f64 -1 (/.f64 1 x))))
(.f64 1/2 (.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) x)))
(.f64 1/2 (.f64 (/.f64 (/.f64 2 x) x) (-.f64 1 x)))
(*.f64 1/2 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)))
(.f64 1/2 (-.f64 (/.f64 -2 (.f64 x x)) (/.f64 2 x)))
(*.f64 1/2 (/.f64 1 (/.f64 x (+.f64 -2 (/.f64 2 x)))))
(.f64 1/2 (/.f64 (-.f64 1 x) (.f64 x (*.f64 x 1/2))))
(.f64 1/2 (-.f64 (/.f64 -2 x) (neg.f64 (/.f64 2 (.f64 x x)))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (.f64 x x)))
(.f64 1/2 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (.f64 x x)) x))
(.f64 1/2 (.f64 (/.f64 (+.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 2 (.f64 x x)) (.f64 2 (neg.f64 x))) (.f64 (.f64 x x) (neg.f64 x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (+.f64 (/.f64 -2 (.f64 x x)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (+.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 2 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 (*.f64 x x))))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (+.f64 -2 (/.f64 2 x))) (*.f64 x (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x x))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (.f64 x x) (.f64 x x)))))
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 (/.f64 -2 x)))
(*.f64 1/2 (log1p.f64 (-.f64 -2 (/.f64 2 x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))

Outputs
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
0.23%	1	`x`

Compiler

Compiled 428 to 293 computations (31.5% saved)

regimes58.0ms (1.7%)

Counts

29 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 -2 x))
(.f64 1/2 (/.f64 -2 (.f64 x x)))
(*.f64 1/2 (/.f64 (+.f64 -2 (/.f64 2 x)) x))
(*.f64 1/2 (/.f64 (-.f64 (/.f64 -2 x) 2) x))
(.f64 1/2 (.f64 (/.f64 2 x) (-.f64 -1 (/.f64 1 x))))
(.f64 1/2 (.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) x)))
(.f64 1/2 (.f64 (/.f64 (/.f64 2 x) x) (-.f64 1 x)))
(*.f64 1/2 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)))
(.f64 1/2 (-.f64 (/.f64 -2 (.f64 x x)) (/.f64 2 x)))
(*.f64 1/2 (/.f64 1 (/.f64 x (+.f64 -2 (/.f64 2 x)))))
(.f64 1/2 (/.f64 (-.f64 1 x) (.f64 x (*.f64 x 1/2))))
(.f64 1/2 (-.f64 (/.f64 -2 x) (neg.f64 (/.f64 2 (.f64 x x)))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (.f64 x x)))
(.f64 1/2 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (.f64 x x)) x))
(.f64 1/2 (.f64 (/.f64 (+.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 2 (.f64 x x)) (.f64 2 (neg.f64 x))) (.f64 (.f64 x x) (neg.f64 x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (+.f64 (/.f64 -2 (.f64 x x)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (+.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 2 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 (*.f64 x x))))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (+.f64 -2 (/.f64 2 x))) (*.f64 x (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x x))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (.f64 x x) (.f64 x x)))))
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 (/.f64 -2 x)))
(*.f64 1/2 (log1p.f64 (-.f64 -2 (/.f64 2 x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))

Outputs
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))

Calls

1 calls:

49.0ms

Results

Error	Segments	Branch
0.67%	1	`x`

Compiler

Compiled 418 to 284 computations (32.1% saved)

regimes23.0ms (0.7%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 -2 x))
(.f64 1/2 (/.f64 -2 (.f64 x x)))
(*.f64 1/2 (/.f64 (+.f64 -2 (/.f64 2 x)) x))
(*.f64 1/2 (/.f64 (-.f64 (/.f64 -2 x) 2) x))
(.f64 1/2 (.f64 (/.f64 2 x) (-.f64 -1 (/.f64 1 x))))
(.f64 1/2 (.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) x)))
(.f64 1/2 (.f64 (/.f64 (/.f64 2 x) x) (-.f64 1 x)))
(*.f64 1/2 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)))
(.f64 1/2 (-.f64 (/.f64 -2 (.f64 x x)) (/.f64 2 x)))
(*.f64 1/2 (/.f64 1 (/.f64 x (+.f64 -2 (/.f64 2 x)))))
(.f64 1/2 (/.f64 (-.f64 1 x) (.f64 x (*.f64 x 1/2))))
(.f64 1/2 (-.f64 (/.f64 -2 x) (neg.f64 (/.f64 2 (.f64 x x)))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (.f64 x x)))
(.f64 1/2 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (.f64 x x)) x))
(.f64 1/2 (.f64 (/.f64 (+.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 2 (.f64 x x)) (.f64 2 (neg.f64 x))) (.f64 (.f64 x x) (neg.f64 x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (+.f64 (/.f64 -2 (.f64 x x)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (+.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 2 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 (*.f64 x x))))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (+.f64 -2 (/.f64 2 x))) (*.f64 x (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x x))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (.f64 x x) (.f64 x x)))))
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 (/.f64 -2 x)))
(*.f64 1/2 (log1p.f64 (-.f64 -2 (/.f64 2 x))))

Outputs
(.f64 1/2 (log1p.f64 (.f64 2 x)))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.42%	1	`x`

Compiler

Compiled 408 to 278 computations (31.9% saved)

regimes22.0ms (0.7%)

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1b (-1.6%)

Counts

25 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 -2 x))
(.f64 1/2 (/.f64 -2 (.f64 x x)))
(*.f64 1/2 (/.f64 (+.f64 -2 (/.f64 2 x)) x))
(*.f64 1/2 (/.f64 (-.f64 (/.f64 -2 x) 2) x))
(.f64 1/2 (.f64 (/.f64 2 x) (-.f64 -1 (/.f64 1 x))))
(.f64 1/2 (.f64 (/.f64 2 x) (/.f64 (+.f64 x 1) x)))
(.f64 1/2 (.f64 (/.f64 (/.f64 2 x) x) (-.f64 1 x)))
(*.f64 1/2 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)))
(.f64 1/2 (-.f64 (/.f64 -2 (.f64 x x)) (/.f64 2 x)))
(*.f64 1/2 (/.f64 1 (/.f64 x (+.f64 -2 (/.f64 2 x)))))
(.f64 1/2 (/.f64 (-.f64 1 x) (.f64 x (*.f64 x 1/2))))
(.f64 1/2 (-.f64 (/.f64 -2 x) (neg.f64 (/.f64 2 (.f64 x x)))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x (/.f64 -2 x)) (.f64 x 2)) (.f64 x x)))
(.f64 1/2 (/.f64 (/.f64 (.f64 x (-.f64 -2 (.f64 x 2))) (.f64 x x)) x))
(.f64 1/2 (.f64 (/.f64 (+.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (.f64 (/.f64 (-.f64 x (.f64 (/.f64 2 x) (.f64 x 1/2))) 1) (/.f64 2 (*.f64 x x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 2 (.f64 x x)) (.f64 2 (neg.f64 x))) (.f64 (.f64 x x) (neg.f64 x))))
(.f64 1/2 (/.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (/.f64 (-.f64 (.f64 x x) (.f64 2 (.f64 x 1/2))) (.f64 (.f64 x x) (*.f64 x 1/2))))
(.f64 1/2 (+.f64 (/.f64 -2 (.f64 x x)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (+.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 2 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 (*.f64 x x))))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (+.f64 -2 (/.f64 2 x))) (*.f64 x (/.f64 (+.f64 -2 (/.f64 2 x)) x))))
(.f64 1/2 (/.f64 (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 x x))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2)) (-.f64 (.f64 x -2) (.f64 (/.f64 x x) 2))) (.f64 (/.f64 (+.f64 -2 (/.f64 2 x)) x) (.f64 (.f64 x x) (.f64 x x)))))
(*.f64 1/2 (log1p.f64 -2))

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
98.44%	1	`x`

Compiler

Compiled 388 to 261 computations (32.7% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
10×	`+-commutative`
8×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	117
1	42	117
2	50	117
3	54	117
4	56	117

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (/.f64 -2 x))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 x (*.f64 x x)))))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (/.f64 -2 x))

Compiler

Compiled 46 to 38 computations (17.4% saved)

soundness0.0ms (0%)

end72.0ms (2.2%)

Compiler: Compiled 42 to 34 computations (19% saved)

Details

analyze3.0ms (0.1%)

sample581.0ms (17.5%)

preprocess4.0ms (0.1%)

simplify182.0ms (5.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize15.0ms (0.4%)

series1.0ms (0%)

rewrite58.0ms (1.7%)

simplify52.0ms (1.6%)

localize21.0ms (0.6%)

series1.0ms (0%)

rewrite61.0ms (1.8%)

simplify68.0ms (2.1%)

eval58.0ms (1.8%)

prune18.0ms (0.6%)

localize4.0ms (0.1%)

localize23.0ms (0.7%)

localize10.0ms (0.3%)

localize30.0ms (0.9%)

series1.0ms (0%)

rewrite76.0ms (2.3%)

simplify54.0ms (1.6%)

eval12.0ms (0.4%)

prune7.0ms (0.2%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite86.0ms (2.6%)

simplify66.0ms (2%)

eval29.0ms (0.9%)

prune8.0ms (0.2%)

localize50.0ms (1.5%)

series1.0ms (0%)

rewrite96.0ms (2.9%)

simplify198.0ms (6%)

localize16.0ms (0.5%)

series1.0ms (0%)

rewrite119.0ms (3.6%)

simplify187.0ms (5.6%)

localize6.0ms (0.2%)

eval474.0ms (14.3%)

prune300.0ms (9.1%)

regimes114.0ms (3.4%)

regimes32.0ms (1%)

regimes58.0ms (1.7%)

regimes23.0ms (0.7%)

regimes22.0ms (0.7%)

simplify7.0ms (0.2%)

soundness0.0ms (0%)

end72.0ms (2.2%)

Profiling