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)

sample566.0ms (19.3%)

Results

555.0ms	8256×	body	256	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess13.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
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)

simplify79.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
380×	`fma-neg_binary64`
251×	`times-frac_binary64`
239×	`div-sub_binary64`
176×	`associate-/l*_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	29	15
3	46	15
4	63	15
5	86	15
6	139	15
7	238	13
8	382	13
9	525	13
10	653	13
11	846	13
12	1118	13
13	1913	13
14	2897	13
15	3520	13
16	3552	13
17	3584	13
18	3620	13
19	3620	13

Stop Event

1×

saturated

Counts

1 → 8

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

eval2.0ms (0.1%)

Compiler: Compiled 79 to 63 computations (20.3% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	6	3	9

Error

0.0b

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize17.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
✓	0.0b	(/.f64 (-.f64 1 x) x)
✓	0.2b	(/.f64 2 (/.f64 (-.f64 1 x) x))

Compiler

Compiled 38 to 28 computations (26.3% saved)

series5.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
1.0ms	x	@	inf	(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 x) x)
1.0ms	x	@	0	(/.f64 2 (/.f64 (-.f64 1 x) x))
0.0ms	x	@	inf	(/.f64 2 (/.f64 (-.f64 1 x) x))

rewrite57.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`pow1_binary64`
879×	`add-log-exp_binary64`
878×	`expm1-log1p-u_binary64`
877×	`log1p-expm1-u_binary64`
862×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	178	29
2	2387	29

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

Outputs

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

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

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

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary64`
514×	`unswap-sqr_binary64`
466×	`associate-/r*_binary64`
433×	`times-frac_binary64`
324×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	1343
1	518	1207
2	1956	1079

Stop Event

1×	node limit

Counts

110 → 129

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 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
-1
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (/.f64 1 x) 1)
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1)
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 x))) (neg.f64 x))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) 1) x)
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)
(pow.f64 (*.f64 (/.f64 (-.f64 1 x) x) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 (-.f64 1 x) x) 2)))
(log.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) x)) 1)
(*.f64 1 (/.f64 (-.f64 1 x) x))
(*.f64 (-.f64 1 x) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) x) 1)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) x)))
(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x)) (sqrt.f64 (/.f64 (-.f64 1 x) x)))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (-.f64 1 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x)) 2)
(pow.f64 (/.f64 x (-.f64 1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) x)))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1)
(.f64 1 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.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 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 3)) (pow.f64 x 4))))
(*.f64 2 (+.f64 (fma.f64 x x (+.f64 x (pow.f64 x 3))) (pow.f64 x 4)))
-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))))))
(neg.f64 (+.f64 2 (+.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))))
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(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))

localize15.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
✓	0.0b	(/.f64 (*.f64 2 x) (-.f64 1 x))

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	inf	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	0	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	-inf	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	-inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

rewrite50.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
854×	`add-log-exp_binary64`
853×	`expm1-log1p-u_binary64`
852×	`log1p-expm1-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	170	22
2	2249	22

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

simplify43.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
577×	`associate-/l*_binary64`
409×	`associate-*l/_binary64`
356×	`unswap-sqr_binary64`
342×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	1365
1	526	1208
2	1902	1061

Stop Event

1×	node limit

Counts

82 → 115

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 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (+.f64 1 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 1 (/.f64 (-.f64 1 x) x)))
(.f64 2 (.f64 x (/.f64 1 (-.f64 1 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 (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 (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 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 2 x))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.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 (.f64 2 x) (cbrt.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 (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 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.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 (.f64 2 x) (sqrt.f64 (-.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 (.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2)
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) 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)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 1)
(.f64 1 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) (sqrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2))
(log.f64 (+.f64 1 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(exp.f64 (log.f64 (log1p.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 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
(.f64 2 (+.f64 (+.f64 x (.f64 x (fma.f64 x x x))) (pow.f64 x 4)))
-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)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.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))))
-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)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.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 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
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eval95.0ms (3.2%)

Compiler: Compiled 3631 to 2947 computations (18.8% saved)

prune49.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	238	6	244
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	239	7	246

Error

Counts

246 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	1.6b	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 1 x))))
	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
▶	0.0b	(.f64 1/2 (log1p.f64 (.f64 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x))) (+.f64 x 1))))
▶	0.7b	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
▶	1.4b	(.f64 1/2 (log1p.f64 (.f64 2 x)))
▶	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 131 to 109 computations (16.8% saved)

localize45.0ms (1.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))
✓	0.0b	(log1p.f64 (.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1)))
✓	0.0b	(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))

Compiler

Compiled 71 to 44 computations (38% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1)))
0.0ms	x	@	inf	(/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))
0.0ms	x	@	0	(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
0.0ms	x	@	inf	(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
0.0ms	x	@	inf	(log1p.f64 (.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1)))

rewrite123.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
336×	`fma-def_binary64`
308×	`pow2_binary64`
221×	`pow-unpow_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	248	35
2	3614	32

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

Outputs

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simplify94.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

618×	`unswap-sqr_binary64`
283×	`associate-r_binary64`
274×	`associate-l_binary64`
252×	`fma-def_binary64`
237×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	4750
1	1330	4307
2	5176	4213

Stop Event

1×	node limit

Counts

227 → 324

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 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 5))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 7)) (.f64 2 (pow.f64 x 5)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(+.f64 0 (/.f64 (+.f64 x x) (-.f64 1 x)))
(+.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (*.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)) 1) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x))) 1)
(/.f64 (+.f64 x x) (-.f64 1 x))
(/.f64 1 (/.f64 (fma.f64 x (neg.f64 x) 1) (*.f64 (+.f64 x x) (+.f64 x 1))))
(/.f64 (+.f64 x 1) (*.f64 1/2 (-.f64 (/.f64 1 x) x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (.f64 (.f64 1/2 (-.f64 (/.f64 1 x) x)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x -1) (.f64 (.f64 1/2 (-.f64 (/.f64 1 x) x)) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (fma.f64 x (neg.f64 x) 1))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (+.f64 x 1))) (neg.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (.f64 2 (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 (/.f64 1 x) x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (.f64 (+.f64 x x) (+.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (neg.f64 x) 1) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (.f64 (.f64 x -2) (+.f64 1 (pow.f64 x 3))) (*.f64 (neg.f64 (fma.f64 x (neg.f64 x) 1)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (.f64 2 (fma.f64 x x -1)) (.f64 (-.f64 (/.f64 1 x) x) (+.f64 x -1)))
(/.f64 (.f64 (+.f64 x x) (fma.f64 x x -1)) (.f64 (fma.f64 x (neg.f64 x) 1) (+.f64 x -1)))
(/.f64 (.f64 (.f64 x -2) (fma.f64 x x -1)) (*.f64 (neg.f64 (fma.f64 x (neg.f64 x) 1)) (+.f64 x -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 2) (.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 (/.f64 1 x) x)))
(/.f64 (.f64 (fma.f64 x x -1) 2) (.f64 (+.f64 x -1) (-.f64 (/.f64 1 x) x)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x x)) (.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 x (neg.f64 x) 1)))
(/.f64 (.f64 (fma.f64 x x -1) (+.f64 x x)) (.f64 (+.f64 x -1) (fma.f64 x (neg.f64 x) 1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 1) (.f64 (-.f64 (fma.f64 x x 1) x) (*.f64 1/2 (-.f64 (/.f64 1 x) x))))
(/.f64 (.f64 (fma.f64 x x -1) 1) (.f64 (+.f64 x -1) (*.f64 1/2 (-.f64 (/.f64 1 x) x))))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (.f64 x -2)) (*.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (.f64 (fma.f64 x x -1) (.f64 x -2)) (*.f64 (+.f64 x -1) (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)) 3) (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)) 2) (-.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2)) (*.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)) 2) (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (-.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x))))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) 1) (fma.f64 x (neg.f64 x) 1))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (+.f64 x 1)) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 2 (+.f64 x 1)) (-.f64 (/.f64 1 x) x))
(/.f64 (.f64 (.f64 x -2) (+.f64 x 1)) (neg.f64 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 2 (-.f64 (/.f64 1 x) x))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 2 (-.f64 (/.f64 1 x) x))) (+.f64 x -1))
(/.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 x 1) 2) (-.f64 (/.f64 1 x) x))
(/.f64 (.f64 (+.f64 x 1) (.f64 x -2)) (neg.f64 (fma.f64 x (neg.f64 x) 1)))
(pow.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x x) (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x x) (-.f64 1 x))) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3)) 1/3)
(pow.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) (*.f64 (+.f64 x x) (+.f64 x 1))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (exp.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (exp.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x))) (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3) (pow.f64 (+.f64 x 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (-.f64 1 x))) 1))
(fma.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 2 (/.f64 1 (-.f64 (/.f64 1 x) x)) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 2 (*.f64 x (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 x (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 x (*.f64 2 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (+.f64 x x) (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (+.f64 x x) (*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (+.f64 x x) (*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 1 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 1 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x))) -1)
(fma.f64 1 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) x (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 1 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (+.f64 x x) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)) 1 (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x))) 2) (cbrt.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x)))) -1)
(fma.f64 (/.f64 x 1) (/.f64 2 (fma.f64 x (neg.f64 x) 1)) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (fma.f64 x (neg.f64 x) 1)) x (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (fma.f64 x (neg.f64 x) 1)) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (fma.f64 x (neg.f64 x) 1)) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 2 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 x (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2)))) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 0 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 2) (/.f64 (+.f64 x x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 x x) (-.f64 1 x)) 2))) (log.f64 (-.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x)))))
(*.f64 1 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))))
(*.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))) 2))
(log.f64 (+.f64 1 (/.f64 (+.f64 x x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 x x) (-.f64 1 x)))) 1))
(+.f64 0 (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) 1)
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 2 (/.f64 1 (-.f64 (/.f64 1 x) x)))
(.f64 2 (.f64 x (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(.f64 x (.f64 2 (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (+.f64 x x) (/.f64 1 (fma.f64 x (neg.f64 x) 1)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) 1))
(*.f64 1 (/.f64 2 (-.f64 (/.f64 1 x) x)))
(*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1))
(.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (+.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 2 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 2 (fma.f64 x (neg.f64 x) 1)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (fma.f64 x (neg.f64 x) 1)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 2 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 1)
(pow.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 3)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2)
(pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) x)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (fma.f64 x (neg.f64 x) 1) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) x)) 1) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (fma.f64 x (neg.f64 x) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1))

Outputs
(*.f64 2 x)
(+.f64 x 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 x) (+.f64 x (pow.f64 x 3))))
(+.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)))))
-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 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 -2 (+.f64 (-.f64 (/.f64 -2 x) (/.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))
(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 -2 (+.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 x))
(*.f64 2 (+.f64 (pow.f64 x 3) x))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 5))))
(fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 5))))
(*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 7)) (.f64 2 (pow.f64 x 5)))))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 7) (pow.f64 x 5)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (pow.f64 x 7))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 7)))))
(-.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 -2 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 7))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 7)))))
(-.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 -2 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 (+.f64 x x) (-.f64 (/.f64 1 x) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))
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(/.f64 (+.f64 x x) (fma.f64 x (neg.f64 x) 1))
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(/.f64 2 (-.f64 (/.f64 1 x) x))
(.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1))
(/.f64 2 (-.f64 (/.f64 1 x) x))
(.f64 (sqrt.f64 (+.f64 x x)) (.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 x x) (fma.f64 x (neg.f64 x) 1))
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (/.f64 -2 (fma.f64 x x -1)))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 x x) (fma.f64 x (neg.f64 x) 1))
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (+.f64 x x))
(/.f64 (+.f64 x x) (fma.f64 x (neg.f64 x) 1))
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (/.f64 x 1) (/.f64 2 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (+.f64 x x) (fma.f64 x (neg.f64 x) 1))
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (/.f64 2 (fma.f64 x (neg.f64 x) 1)) x)
(/.f64 (+.f64 x x) (fma.f64 x (neg.f64 x) 1))
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (fma.f64 x (neg.f64 x) 1)))
(/.f64 (+.f64 x x) (fma.f64 x (neg.f64 x) 1))
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (fma.f64 x (neg.f64 x) 1)))
(/.f64 (+.f64 x x) (fma.f64 x (neg.f64 x) 1))
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 2 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) -2) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) -2) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)))
(.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (/.f64 2 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (/.f64 2 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) -1/2) (.f64 2 (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) -1/2) (.f64 2 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (/.f64 2 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 6)) x)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 1/2 (/.f64 (pow.f64 x 6) 2))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(*.f64 (fma.f64 x x 1) (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 2 (+.f64 x (pow.f64 x 3))) (-.f64 1 (pow.f64 x 4)))
(pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 1)
(/.f64 2 (-.f64 (/.f64 1 x) x))
(pow.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2)) 1/2)
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2)))
(pow.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3) 1/3)
(/.f64 2 (-.f64 (/.f64 1 x) x))
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 3)
(/.f64 2 (-.f64 (/.f64 1 x) x))
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2)
(/.f64 2 (-.f64 (/.f64 1 x) x))
(pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) x)) -1)
(/.f64 2 (-.f64 (/.f64 1 x) x))
(pow.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (fma.f64 x (neg.f64 x) 1) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (fma.f64 x (neg.f64 x) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(pow.f64 (/.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) x)) 1) -1)
(/.f64 2 (-.f64 (/.f64 1 x) x))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 x x) (fma.f64 x (neg.f64 x) 1))
(*.f64 2 (/.f64 x (fma.f64 x (neg.f64 x) 1)))
(*.f64 x (/.f64 -2 (fma.f64 x x -1)))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(/.f64 2 (-.f64 (/.f64 1 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))))
(/.f64 2 (-.f64 (/.f64 1 x) x))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3))
(/.f64 2 (-.f64 (/.f64 1 x) x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (fma.f64 x (neg.f64 x) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(/.f64 2 (-.f64 (/.f64 1 x) x))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(/.f64 2 (-.f64 (/.f64 1 x) x))
(exp.f64 (log.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(/.f64 2 (-.f64 (/.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1))
(/.f64 2 (-.f64 (/.f64 1 x) x))

localize4.0ms (0.1%)

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

localize7.0ms (0.2%)

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

localize29.0ms (1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (/.f64 1 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	@	inf	(/.f64 2 (/.f64 1 x))
0.0ms	x	@	0	(/.f64 2 (/.f64 1 x))
0.0ms	x	@	-inf	(/.f64 2 (/.f64 1 x))

rewrite74.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`pow1_binary64`
517×	`add-sqr-sqrt_binary64`
493×	`add-log-exp_binary64`
493×	`log1p-expm1-u_binary64`
493×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	128	4
2	1445	4

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

564×	`log-prod_binary64`
502×	`distribute-rgt-in_binary64`
476×	`distribute-lft-in_binary64`
435×	`associate-l_binary64`
403×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	140
1	131	140
2	400	140
3	3006	140

Stop Event

1×	node limit

Counts

35 → 23

Calls

Call 1

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

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

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))

Compiler

Compiled 37 to 15 computations (59.5% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))
1.0ms	x	@	0	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))
0.0ms	x	@	-inf	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))

rewrite47.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`pow1_binary64`
733×	`add-log-exp_binary64`
731×	`expm1-log1p-u_binary64`
730×	`log1p-expm1-u_binary64`
718×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	10
2	2145	10

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))

Outputs

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

simplify46.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary64`
459×	`fma-neg_binary64`
339×	`associate-+l+_binary64`
329×	`log-prod_binary64`
281×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	484
1	199	435
2	601	388
3	2522	380
4	5852	380

Stop Event

1×	node limit

Counts

27 → 65

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -4/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4))))
(+.f64 (.f64 -8/5 (pow.f64 x 5)) (+.f64 (.f64 2 x) (+.f64 (.f64 -4/3 (pow.f64 x 3)) (.f64 2 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 1)
(.f64 (log1p.f64 (.f64 2 (fma.f64 x x x))) 1)
(.f64 1 (log1p.f64 (.f64 2 (fma.f64 x x x))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) (sqrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 2))
(log.f64 (+.f64 (*.f64 2 (fma.f64 x x x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 -4/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 -4/3 (pow.f64 x 3)))
(fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 (.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4))))
(fma.f64 2 x (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (pow.f64 x 4))))
(fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4))))
(fma.f64 2 (+.f64 x (pow.f64 x 4)) (*.f64 -4/3 (pow.f64 x 3)))
(+.f64 (.f64 -8/5 (pow.f64 x 5)) (+.f64 (.f64 2 x) (+.f64 (.f64 -4/3 (pow.f64 x 3)) (.f64 2 (pow.f64 x 4)))))
(fma.f64 -8/5 (pow.f64 x 5) (fma.f64 2 x (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 -8/5 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(fma.f64 2 (+.f64 x (pow.f64 x 4)) (fma.f64 -4/3 (pow.f64 x 3) (*.f64 -8/5 (pow.f64 x 5))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -2 (neg.f64 (log.f64 x))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)))
(+.f64 (log.f64 2) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)))
(+.f64 (log.f64 2) (+.f64 (/.f64 1 x) (*.f64 2 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 2 (log.f64 x) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (log.f64 2) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x))) (/.f64 1/6 (pow.f64 x 3)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)) (+.f64 (log.f64 2) (/.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (*.f64 2 (log.f64 x))) (+.f64 (log.f64 2) (/.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 2) (fma.f64 2 (log.f64 x) (/.f64 1 x))) (/.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/8 (pow.f64 x 4)))) (/.f64 1/6 (pow.f64 x 3)))
(+.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/8 (pow.f64 x 4))) (+.f64 (log.f64 2) (/.f64 -1/6 (pow.f64 x 3))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1 x) (+.f64 (+.f64 (*.f64 2 (log.f64 x)) (/.f64 1/8 (pow.f64 x 4))) (/.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 (log.f64 2) (fma.f64 2 (log.f64 x) (/.f64 1 x))) (/.f64 -1/6 (pow.f64 x 3))) (/.f64 1/8 (pow.f64 x 4)))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 -1 x))))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (/.f64 1 x)))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (/.f64 1 x))) (/.f64 1/6 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1 x)) (/.f64 1/6 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/6 (pow.f64 x 3)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4))))) (/.f64 1/6 (pow.f64 x 3)))
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/8 (pow.f64 x 4))) (/.f64 -1/6 (pow.f64 x 3)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 4)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (/.f64 -1/6 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (/.f64 -1/6 (pow.f64 x 3)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 2)))))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 1)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 (log1p.f64 (.f64 2 (fma.f64 x x x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 1 (log1p.f64 (.f64 2 (fma.f64 x x x))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 2))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(.f64 (sqrt.f64 (log1p.f64 (.f64 2 (fma.f64 x x x)))) (sqrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 3)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))) 2)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 2))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(log.f64 (+.f64 (*.f64 2 (fma.f64 x x x)) 1))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 3))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x)))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 1))
(+.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))) 0)
(log1p.f64 (*.f64 2 (fma.f64 x x x)))

eval449.0ms (15.3%)

Compiler: Compiled 8326 to 5980 computations (28.2% saved)

prune75.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	410	2	412
Fresh	0	1	1
Picked	1	0	1
Done	4	1	5
Total	415	4	419

Error

Counts

419 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(.f64 1/2 (.f64 2 x))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
▶	0.2b	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 x 1))))

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize24.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 x 1)))
✓	0.0b	(*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 x 1))
✓	0.2b	(/.f64 2 (-.f64 (/.f64 1 x) x))

Compiler

Compiled 60 to 44 computations (26.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 x 1)))
0.0ms	x	@	0	(/.f64 2 (-.f64 (/.f64 1 x) x))
0.0ms	x	@	-inf	(log1p.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 x 1)))
0.0ms	x	@	inf	(log1p.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 x 1)))
0.0ms	x	@	-inf	(/.f64 2 (-.f64 (/.f64 1 x) x))

rewrite65.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`prod-diff_binary64`
507×	`log-prod_binary64`
320×	`fma-def_binary64`
194×	`pow1/3_binary64`
193×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	231	44
2	3271	40

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

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

Outputs

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

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

simplify114.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

589×	`unswap-sqr_binary64`
249×	`cancel-sign-sub-inv_binary64`
212×	`associate-l_binary64`
206×	`associate-r_binary64`
206×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	3756
1	1007	3106
2	3863	2911

Stop Event

1×	node limit

Counts

177 → 246

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 5))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 7)) (.f64 2 (pow.f64 x 5)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (.f64 2 (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 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 0 (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) 1)
(*.f64 2 (/.f64 1 (-.f64 (/.f64 1 x) x)))
(.f64 2 (.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) 1))
(*.f64 1 (/.f64 2 (-.f64 (/.f64 1 x) x)))
(*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2) (.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 (/.f64 1 x) x))))
(*.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) 2)
(*.f64 (/.f64 2 (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)))
(.f64 (/.f64 2 (-.f64 (pow.f64 x -2) (.f64 x x))) (+.f64 x (/.f64 1 x)))
(pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 3)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2)
(pow.f64 (*.f64 (-.f64 (/.f64 1 x) x) 1/2) -1)
(pow.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 x) x) 1/2) 1) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(+.f64 0 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)) 1) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))))
(-.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 1)
(/.f64 2 (/.f64 (-.f64 (/.f64 1 x) x) (+.f64 1 x)))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 x) x) (fma.f64 2 x 2)))
(/.f64 (+.f64 1 x) (*.f64 (-.f64 (/.f64 1 x) x) 1/2))
(/.f64 (+.f64 1 (pow.f64 x 3)) (.f64 (.f64 (-.f64 (/.f64 1 x) x) 1/2) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (fma.f64 x x -1) (.f64 (.f64 (-.f64 (/.f64 1 x) x) 1/2) (+.f64 x -1)))
(/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))
(/.f64 (neg.f64 (fma.f64 2 x 2)) (neg.f64 (-.f64 (/.f64 1 x) x)))
(/.f64 (.f64 2 (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 (/.f64 1 x) x) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (.f64 -2 (+.f64 1 (pow.f64 x 3))) (.f64 (neg.f64 (-.f64 (/.f64 1 x) x)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (.f64 2 (fma.f64 x x -1)) (.f64 (-.f64 (/.f64 1 x) x) (+.f64 x -1)))
(/.f64 (.f64 -2 (fma.f64 x x -1)) (.f64 (neg.f64 (-.f64 (/.f64 1 x) x)) (+.f64 x -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 2) (.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 (/.f64 1 x) x)))
(/.f64 (.f64 (fma.f64 x x -1) 2) (.f64 (+.f64 x -1) (-.f64 (/.f64 1 x) x)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 1) (.f64 (-.f64 (fma.f64 x x 1) x) (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(/.f64 (.f64 (fma.f64 x x -1) 1) (.f64 (+.f64 x -1) (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) -2) (.f64 (-.f64 (fma.f64 x x 1) x) (neg.f64 (-.f64 (/.f64 1 x) x))))
(/.f64 (.f64 (fma.f64 x x -1) -2) (.f64 (+.f64 x -1) (neg.f64 (-.f64 (/.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)) 3) (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3)) (fma.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)) (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)) (-.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2)) (.f64 (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)) (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (-.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x))))
(/.f64 (/.f64 (fma.f64 2 x 2) 1) (-.f64 (/.f64 1 x) x))
(/.f64 (/.f64 (fma.f64 2 x 2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) x) 2))) (cbrt.f64 (-.f64 (/.f64 1 x) x)))
(/.f64 (/.f64 (fma.f64 2 x 2) (sqrt.f64 (-.f64 (/.f64 1 x) x))) (sqrt.f64 (-.f64 (/.f64 1 x) x)))
(/.f64 (*.f64 -2 (+.f64 1 x)) (neg.f64 (-.f64 (/.f64 1 x) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 2 (-.f64 (/.f64 1 x) x))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 2 (-.f64 (/.f64 1 x) x))) (+.f64 x -1))
(/.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 x) -2) (neg.f64 (-.f64 (/.f64 1 x) x)))
(pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3) (pow.f64 (+.f64 1 x) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) x) (fma.f64 2 x 2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(log.f64 (.f64 (exp.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (exp.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (exp.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))))
(log.f64 (.f64 (exp.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3) (pow.f64 (+.f64 1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 1))
(fma.f64 2 (/.f64 1 (-.f64 (/.f64 1 x) x)) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 2 (*.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 2 (.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) 1) (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 1 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 1 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) -1)
(fma.f64 1 (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 x (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) 1 (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) x (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2) (.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1) (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1) (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 -2 (/.f64 1 (neg.f64 (-.f64 (/.f64 1 x) x))) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) 2 (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)) 1 (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (cbrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))) (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) -1)
(fma.f64 (sqrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) -1)
(fma.f64 (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 x 2) (/.f64 1 (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 x -2) (.f64 x x))) (+.f64 x (/.f64 1 x)) (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2)) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 0 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 2) (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 2))) (log.f64 (-.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(*.f64 1 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(*.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (sqrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(pow.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 2))
(log.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 1))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 x))
(*.f64 2 (+.f64 (pow.f64 x 3) x))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 5))))
(fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 5))))
(*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 7)) (.f64 2 (pow.f64 x 5)))))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 7) (pow.f64 x 5)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (pow.f64 x 7))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)))
(+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 5)) (/.f64 -2 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 7)))))
(-.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))) (/.f64 -2 (pow.f64 x 7)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)))
(+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 5)) (/.f64 -2 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 7)))))
(-.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 5)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))) (/.f64 -2 (pow.f64 x 7)))
(*.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 (pow.f64 x 3) (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 (.f64 2 (+.f64 (pow.f64 x 3) (fma.f64 x x x))) (.f64 2 (pow.f64 x 4)))
-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 (+.f64 -2 (/.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)))))))
(+.f64 -2 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 -2 (/.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 (+.f64 -2 (/.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)))))))
(+.f64 -2 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/5)))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 (pow.f64 x 5) 2/5)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/5))))
(fma.f64 (pow.f64 x 7) 2/7 (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 (pow.f64 x 5) 2/5))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2) (.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1) (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 1) (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 -2 (/.f64 1 (neg.f64 (-.f64 (/.f64 1 x) x))) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (/.f64 1 (-.f64 (/.f64 1 x) x)) 2 (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)) 1 (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (cbrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))) (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) -1)
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (sqrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (sqrt.f64 (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) -1)
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (sqrt.f64 x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (*.f64 x 2) (/.f64 1 (-.f64 (/.f64 1 x) x)) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)) (/.f64 (*.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x 1)) (*.f64 2 (/.f64 x (-.f64 (pow.f64 x -1) x))))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 x -2) (.f64 x x))) (+.f64 x (/.f64 1 x)) (/.f64 (.f64 x 2) (-.f64 (/.f64 1 x) x)))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 x -2) (.f64 x x))) (+.f64 x (/.f64 1 x)) (/.f64 x (.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(fma.f64 (/.f64 2 (-.f64 (pow.f64 x -2) (.f64 x x))) (+.f64 x (pow.f64 x -1)) (.f64 2 (/.f64 x (-.f64 (pow.f64 x -1) x))))
(fma.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) 2)) (cbrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)))) (sqrt.f64 (/.f64 2 (-.f64 (/.f64 1 x) x))) (/.f64 2 (-.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (/.f64 x (*.f64 (-.f64 (/.f64 1 x) x) 1/2)))
(*.f64 2 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x -1) x)))
(/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x))
(+.f64 0 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 2) (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 3)) (log1p.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 2) (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)) 3)) (log1p.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)) 2) (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))) 1)
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)) 2))) (log.f64 (-.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)) 2))) (log1p.f64 (/.f64 (neg.f64 (fma.f64 2 x 2)) (-.f64 (pow.f64 x -1) x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)) 2))) (log1p.f64 (/.f64 (+.f64 -2 (*.f64 x -2)) (-.f64 (pow.f64 x -1) x))))
(*.f64 1 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(*.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 1)
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 2))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) (sqrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(pow.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 1)
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 3) 1/3)
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 3)
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 2)
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 2))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(log.f64 (+.f64 1 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))) 3))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))) 1))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x)))
(log1p.f64 (/.f64 (fma.f64 2 x 2) (-.f64 (pow.f64 x -1) x)))

localize47.0ms (1.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1)))
✓	0.2b	(/.f64 2 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 38 to 32 computations (15.8% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1)))
0.0ms	x	@	0	(/.f64 2 (-.f64 (/.f64 1 x) 1))
0.0ms	x	@	inf	(log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1)))
0.0ms	x	@	-inf	(log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1)))
0.0ms	x	@	-inf	(/.f64 2 (-.f64 (/.f64 1 x) 1))

rewrite55.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`pow1_binary64`
755×	`add-log-exp_binary64`
753×	`expm1-log1p-u_binary64`
752×	`log1p-expm1-u_binary64`
740×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	175	22
2	2177	22

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-def_binary64`
384×	`distribute-rgt-in_binary64`
342×	`times-frac_binary64`
306×	`fma-neg_binary64`
304×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	958
1	357	840
2	1196	734
3	3972	716

Stop Event

1×	node limit

Counts

61 → 104

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 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) -1)))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 -2 (/.f64 1 (+.f64 (neg.f64 (/.f64 1 x)) 1)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -3) -1)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -2) -1)) (+.f64 1 (/.f64 1 x)))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))

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 (pow.f64 x 3) (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 (pow.f64 x 3) (fma.f64 x x x)) (pow.f64 x 4)))
(.f64 (fma.f64 x x x) (.f64 (fma.f64 x x 1) 2))
-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 (-.f64 -2 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 -2 x) (fma.f64 -2 (pow.f64 x -2) -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)))))))
(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 (pow.f64 x -2) (+.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))
(-.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 (-.f64 -2 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 -2 x) (fma.f64 -2 (pow.f64 x -2) -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)))))))
(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 (pow.f64 x -2) (+.f64 2 (/.f64 2 x)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2 x)))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 -2 (/.f64 1 (+.f64 (neg.f64 (/.f64 1 x)) 1)))
(/.f64 -2 (+.f64 1 (/.f64 -1 x)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -3) -1)) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (fma.f64 2 (pow.f64 x -2) (+.f64 2 (/.f64 2 x))) (+.f64 -1 (pow.f64 x -3)))
(/.f64 (+.f64 2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x))) (+.f64 -1 (pow.f64 x -3)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -2) -1)) (+.f64 1 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (-.f64 (/.f64 (/.f64 1 x) 2) 1/2) -1)
(/.f64 1 (+.f64 (/.f64 1 (*.f64 2 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(sqrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 2))
(fabs.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(+.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 0)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))

localize5.0ms (0.2%)

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

eval282.0ms (9.6%)

Compiler: Compiled 6891 to 5494 computations (20.3% saved)

prune49.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	350	4	354

Error

Counts

354 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(.f64 1/2 (.f64 2 x))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
✓	0.2b	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 x 1))))

Compiler

Compiled 43 to 36 computations (16.3% saved)

regimes41.0ms (1.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
6.0ms	x
6.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
6.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
0.0b	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
0.0b	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 124 to 98 computations (21% saved)

regimes7.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 56 to 46 computations (17.9% saved)

regimes26.0ms (0.9%)

Accuracy

Total -63.4b remaining (-10153.2%)

Threshold costs -63.4b (-10153.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 36 to 29 computations (19.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	27	37
2	31	37
3	33	37
4	34	37

Stop Event

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

Compiler

Compiled 28 to 24 computations (14.3% saved)

soundness0.0ms (0%)

end51.0ms (1.7%)

Compiler: Compiled 26 to 22 computations (15.4% saved)

Details

analyze3.0ms (0.1%)

sample566.0ms (19.3%)

preprocess13.0ms (0.4%)

simplify79.0ms (2.7%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize17.0ms (0.6%)

series5.0ms (0.2%)

rewrite57.0ms (1.9%)

simplify51.0ms (1.7%)

localize15.0ms (0.5%)

series2.0ms (0.1%)

rewrite50.0ms (1.7%)

simplify43.0ms (1.5%)

eval95.0ms (3.2%)

prune49.0ms (1.7%)

localize45.0ms (1.5%)

series4.0ms (0.1%)

rewrite123.0ms (4.2%)

simplify94.0ms (3.2%)

localize4.0ms (0.1%)

localize7.0ms (0.2%)

localize29.0ms (1%)

series1.0ms (0%)

rewrite74.0ms (2.5%)

simplify53.0ms (1.8%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

rewrite47.0ms (1.6%)

simplify46.0ms (1.6%)

eval449.0ms (15.3%)

prune75.0ms (2.6%)

localize24.0ms (0.8%)

series3.0ms (0.1%)

rewrite65.0ms (2.2%)

simplify114.0ms (3.9%)

localize47.0ms (1.6%)

series2.0ms (0.1%)

rewrite55.0ms (1.9%)

simplify45.0ms (1.5%)

localize5.0ms (0.2%)

eval282.0ms (9.6%)

prune49.0ms (1.7%)

regimes41.0ms (1.4%)

regimes7.0ms (0.2%)

regimes26.0ms (0.9%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end51.0ms (1.7%)

Profiling