Details

analyze4.0ms (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
25%	25%	75%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
81.3%	81.2%	18.7%	0%	0%	0%	0%	5
90.6%	90.6%	9.4%	0%	0%	0%	0%	6
95.3%	95.3%	4.7%	0%	0%	0%	0%	7
97.7%	97.6%	2.3%	0%	0%	0%	0%	8
98.8%	98.8%	1.2%	0%	0%	0%	0%	9
99.4%	99.4%	0.6%	0%	0%	0%	0%	10
99.7%	99.7%	0.3%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample927.0ms (35%)

Results

917.0ms

8256×

body

256

valid

Bogosity

preprocess75.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

482×	`fma-def`
326×	`associate-*r/`
324×	`associate-r`
306×	`distribute-lft-in`
292×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	17	19
3	24	19
4	31	19
5	41	19
6	59	19
7	74	19
8	93	19
9	122	19
10	177	19
11	220	19
12	295	19
13	452	19
14	829	19
15	1619	19
16	2153	19
17	2804	19
18	3026	19
19	3286	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify73.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

482×	`fma-def`
326×	`associate-*r/`
324×	`associate-r`
306×	`distribute-lft-in`
292×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	17	19
3	24	19
4	31	19
5	41	19
6	59	19
7	74	19
8	93	19
9	122	19
10	177	19
11	220	19
12	295	19
13	452	19
14	829	19
15	1619	19
16	2153	19
17	2804	19
18	3026	19
19	3286	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1994×	`add-sqr-sqrt`
1978×	`*-un-lft-identity`
1852×	`add-cube-cbrt`
1834×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	180	19
2	2444	19

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify58.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1222×	`distribute-lft-neg-out`
1180×	`associate-+r+`
710×	`associate-+l+`
582×	`associate-*r/`
496×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1506
1	341	1454
2	1279	1120
3	4910	1120

Stop Event

1×	node limit

Counts

48 → 74

Calls

Call 1

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

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

eval22.0ms (0.8%)

Compiler: Compiled 916 to 691 computations (24.6% saved)

prune11.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	7	75

Error

Counts

75 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
▶	33.2b	(+.f64 (*.f64 2 x) 1)
▶	29.6b	(+.f64 -1 (/.f64 -2 x))
▶	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
	34.1b	1
	30.8b	-1

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1986×	`add-sqr-sqrt`
1966×	`*-un-lft-identity`
1846×	`add-cube-cbrt`
1822×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	182	32
2	2529	32

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

Outputs

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

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

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-/r*`
1194×	`associate-/l*`
932×	`distribute-lft-in`
794×	`*-commutative`
780×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	2669
1	590	2319
2	2376	2279

Stop Event

1×	node limit

Counts

93 → 132

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`add-sqr-sqrt`
1532×	`*-un-lft-identity`
1440×	`add-cube-cbrt`
1430×	`add-cbrt-cube`
1418×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	156	13
2	1904	13

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Rules

912×	`associate-r`
872×	`*-commutative`
730×	`associate-l`
516×	`associate-+l-`
504×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1081
1	210	931
2	738	931
3	4054	931

Stop Event

1×	node limit

Counts

45 → 46

Calls

Call 1

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

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

localize5.0ms (0.2%)

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

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series1.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite106.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`associate-/r*`
1134×	`associate-/l*`
1076×	`associate-/r/`
1020×	`*-commutative`
724×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	207	45
2	3002	45

Stop Event

1×	node limit

Counts

3 → 347

Calls

Call 1

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

Outputs

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(-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))))))

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

simplify156.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1018×	`*-commutative`
906×	`distribute-lft-in`
890×	`associate-r`
842×	`associate-/r*`
798×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	851	19695
1	2908	18549

Stop Event

1×	node limit

Counts

383 → 619

Calls

Call 1

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

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

eval366.0ms (13.8%)

Compiler: Compiled 17387 to 13023 computations (25.1% saved)

prune125.0ms (4.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	796	1	797
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	796	8	804

Error

Counts

804 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
▶	61.5b	(/.f64 -2 x)
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
✓	33.2b	(+.f64 (*.f64 2 x) 1)
✓	29.6b	(+.f64 -1 (/.f64 -2 x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
	34.1b	1
	30.8b	-1

Compiler

Compiled 50 to 40 computations (20% saved)

localize3.0ms (0.1%)

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

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	5	5
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	61.5b	(/.f64 -2 x)
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
✓	33.2b	(+.f64 (*.f64 2 x) 1)
✓	29.6b	(+.f64 -1 (/.f64 -2 x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
	34.1b	1
	30.8b	-1

Compiler

Compiled 50 to 40 computations (20% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	61.5b	(/.f64 -2 x)
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
✓	33.2b	(+.f64 (*.f64 2 x) 1)
✓	29.6b	(+.f64 -1 (/.f64 -2 x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
	34.1b	1
	30.8b	-1

Compiler

Compiled 50 to 40 computations (20% saved)

regimes22.0ms (0.8%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (+.f64 x 1) (-.f64 1 x))`

Compiler

Compiled 60 to 45 computations (25% saved)

regimes12.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch72.0ms (2.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	3.9599082494307815e-9	1.9532933423551844
59.0ms	-7.372504089370599	-0.0017871805017175744

Results

69.0ms

272×

body

256

valid

Compiler

Compiled 250 to 213 computations (14.8% saved)

regimes116.0ms (4.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

115.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch24.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	3.9599082494307815e-9	1.9532933423551844
12.0ms	-7.372504089370599	-0.0017871805017175744

Results

21.0ms

272×

body

256

valid

Compiler

Compiled 182 to 162 computations (11% saved)

regimes13.0ms (0.5%)

Accuracy

Total -61.2b remaining (-3233.1%)

Threshold costs -61.2b (-3233.1%)

Counts

3 → 3

Calls

Call 1

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

Outputs
-1
1
-1

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.9b	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch34.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.9599082494307815e-9	1.9532933423551844
11.0ms	-7.372504089370599	-0.0017871805017175744

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 114 to 111 computations (2.6% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`if-if-or-not`
4×	`sub-neg`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	44	131
2	47	131
3	49	131
4	50	131

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1080863910568919/2251799813685248) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) (+.f64 1 (*.f64 x 2)))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) 1)
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Compiler

Compiled 58 to 47 computations (19% saved)

soundness0.0ms (0%)

end84.0ms (3.2%)

Compiler: Compiled 54 to 43 computations (20.4% saved)

Details

analyze4.0ms (0.1%)

sample927.0ms (35%)

preprocess75.0ms (2.8%)

simplify73.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite60.0ms (2.3%)

simplify58.0ms (2.2%)

eval22.0ms (0.8%)

prune11.0ms (0.4%)

localize9.0ms (0.4%)

series1.0ms (0%)

rewrite65.0ms (2.5%)

simplify59.0ms (2.2%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (2%)

simplify54.0ms (2%)

localize5.0ms (0.2%)

localize10.0ms (0.4%)

series1.0ms (0.1%)

rewrite106.0ms (4%)

simplify156.0ms (5.9%)

eval366.0ms (13.8%)

prune125.0ms (4.7%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes22.0ms (0.8%)

regimes12.0ms (0.5%)

bsearch72.0ms (2.7%)

regimes116.0ms (4.4%)

bsearch24.0ms (0.9%)

regimes13.0ms (0.5%)

bsearch34.0ms (1.3%)

simplify7.0ms (0.3%)

soundness0.0ms (0%)

end84.0ms (3.2%)

Profiling