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)

sample580.0ms (22.6%)

Results

551.0ms	8256×	body	256	valid
0.0ms	5×	body	256	invalid

Bogosity

preprocess14.0ms (0.5%)

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)

simplify80.0ms (3.1%)

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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	7	2	9

Error

0.0b

Counts

9 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize15.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 29 computations (23.7% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`pow1_binary64`
745×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
733×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	1984	17

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

Outputs

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

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

simplify51.0ms (2%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-neg_binary64`
503×	`log-prod_binary64`
500×	`fma-def_binary64`
315×	`log-div_binary64`
314×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1004
1	386	866
2	1405	714
3	6092	714

Stop Event

1×	node limit

Counts

68 → 107

Calls

Call 1

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

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

localize15.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
813×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2196	17

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

Outputs

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

simplify51.0ms (2%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-neg_binary64`
449×	`times-frac_binary64`
437×	`fma-def_binary64`
389×	`associate-/r*_binary64`
342×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	901
1	428	810
2	1526	730
3	6862	730

Stop Event

1×	node limit

Counts

83 → 91

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

eval60.0ms (2.3%)

Compiler: Compiled 2890 to 2307 computations (20.2% saved)

prune50.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	192	6	198
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	194	6	200

Error

Counts

200 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(*.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 x (*.f64 (/.f64 -2 (fma.f64 x x -1)) (+.f64 x 1)))))
▶	1.8b	(.f64 1/2 (log1p.f64 (.f64 x 2)))
▶	1.0b	(.f64 1/2 (log1p.f64 (.f64 2 (+.f64 (*.f64 x x) x))))
▶	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 118 to 98 computations (16.9% saved)

localize55.0ms (2.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 69 to 48 computations (30.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite97.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`log-prod_binary64`
356×	`pow-prod-down_binary64`
354×	`exp-prod_binary64`
288×	`prod-diff_binary64`
251×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	214	17
2	2795	17

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

simplify152.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-/l*_binary64`
535×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
457×	`unswap-sqr_binary64`
149×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	2388
1	928	2174
2	2725	2146

Stop Event

1×	node limit

Counts

161 → 217

Calls

Call 1

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

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

localize4.0ms (0.2%)

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

localize7.0ms (0.3%)

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

localize15.0ms (0.6%)

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)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (1.7%)

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)))))))

simplify32.0ms (1.2%)

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	@	0	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))
1.0ms	x	@	inf	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))
1.0ms	x	@	-inf	(log1p.f64 (.f64 2 (+.f64 (.f64 x x) x)))

rewrite46.0ms (1.8%)

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)))))))))

simplify49.0ms (1.9%)

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)))

eval149.0ms (5.8%)

Compiler: Compiled 5665 to 4302 computations (24.1% saved)

prune69.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	304	1	305
Fresh	0	1	1
Picked	1	0	1
Done	3	1	4
Total	308	3	311

Error

Counts

311 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(.f64 1/2 (.f64 2 x))
▶	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
✓	0.0b	(.f64 1/2 (log1p.f64 (.f64 x (*.f64 (/.f64 -2 (fma.f64 x x -1)) (+.f64 x 1)))))

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize15.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 38 to 32 computations (15.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`pow1_binary64`
689×	`add-log-exp_binary64`
687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	1986	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(/.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))))))))

simplify38.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

588×	`times-frac_binary64`
375×	`log-prod_binary64`
354×	`associate-l_binary64`
331×	`distribute-rgt-in_binary64`
320×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	516
1	249	443
2	814	382
3	3793	364

Stop Event

1×	node limit

Counts

34 → 62

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 (+.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))))

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

localize5.0ms (0.2%)

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

eval40.0ms (1.6%)

Compiler: Compiled 893 to 747 computations (16.3% saved)

prune9.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	62	3	65

Error

Counts

65 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(.f64 1/2 (.f64 2 x))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 (/.f64 1 x) 1))))
✓	0.0b	(.f64 1/2 (log1p.f64 (.f64 x (*.f64 (/.f64 -2 (fma.f64 x x -1)) (+.f64 x 1)))))

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes52.0ms (2%)

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

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

Calls

4 calls:

31.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
7.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
6.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms	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 119 to 95 computations (20.2% saved)

regimes47.0ms (1.8%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
7.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms	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 104 to 84 computations (19.2% saved)

regimes9.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 66 to 54 computations (18.2% saved)

regimes6.0ms (0.2%)

Accuracy

Total -63.0b remaining (-6446.5%)

Threshold costs -63.0b (-6446.5%)

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 x 2)))
(*.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:

5.0ms

Results

Error	Segments	Branch
1.0b	1	`x`

Compiler

Compiled 36 to 29 computations (19.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	59
1	39	59
2	42	59
3	44	59
4	45	59

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 44 to 35 computations (20.5% saved)

soundness217.0ms (8.4%)

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

Compiler

Compiled 159 to 133 computations (16.4% saved)

end304.0ms (11.8%)

Compiler: Compiled 41 to 32 computations (22% saved)

Details

analyze3.0ms (0.1%)

sample580.0ms (22.6%)

preprocess14.0ms (0.5%)

simplify80.0ms (3.1%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize15.0ms (0.6%)

series2.0ms (0.1%)

rewrite54.0ms (2.1%)

simplify51.0ms (2%)

localize15.0ms (0.6%)

series2.0ms (0.1%)

rewrite59.0ms (2.3%)

simplify51.0ms (2%)

eval60.0ms (2.3%)

prune50.0ms (1.9%)

localize55.0ms (2.1%)

series2.0ms (0.1%)

rewrite97.0ms (3.8%)

simplify152.0ms (5.9%)

localize4.0ms (0.2%)

localize7.0ms (0.3%)

localize15.0ms (0.6%)

series2.0ms (0.1%)

rewrite44.0ms (1.7%)

simplify32.0ms (1.2%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

rewrite46.0ms (1.8%)

simplify49.0ms (1.9%)

eval149.0ms (5.8%)

prune69.0ms (2.7%)

localize15.0ms (0.6%)

series1.0ms (0%)

rewrite44.0ms (1.7%)

simplify38.0ms (1.5%)

localize5.0ms (0.2%)

eval40.0ms (1.6%)

prune9.0ms (0.3%)

regimes52.0ms (2%)

regimes47.0ms (1.8%)

regimes9.0ms (0.4%)

regimes6.0ms (0.2%)

simplify4.0ms (0.2%)

soundness217.0ms (8.4%)

end304.0ms (11.8%)

Profiling