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)

sample765.0ms (25.2%)

Results

753.0ms

8256×

body

256

valid

Bogosity

preprocess69.0ms (2.3%)

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)

simplify74.0ms (2.5%)

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

0.03%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.03%	(/.f64 (-.f64 x -1) (-.f64 1 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.03%	(/.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))

rewrite59.0ms (1.9%)

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))))))))

simplify61.0ms (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))

eval18.0ms (0.6%)

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

prune10.0ms (0.3%)

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
✓	0.03%	(/.f64 (-.f64 x -1) (-.f64 1 x))
▶	47.29%	(+.f64 (*.f64 2 x) 1)
▶	50.26%	(+.f64 -1 (/.f64 -2 x))
▶	25.83%	(.f64 (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))) (+.f64 x 1))
▶	0.13%	(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
	48.49%	1
	51.32%	-1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 1 (-.f64 1 x))
✓	0.13%	(*.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))

rewrite70.0ms (2.3%)

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))))))))

simplify60.0ms (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))

localize17.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.13%	(.f64 (/.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))) (+.f64 x 1))
✓	24.75%	(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite124.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`associate-/r*`
1042×	`associate-/l*`
1038×	`*-commutative`
716×	`associate-/r/`
632×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	62
1	207	32
2	3061	32

Stop Event

1×	node limit

Counts

2 → 222

Calls

Call 1

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

Outputs

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

simplify256.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

996×	`associate-+r+`
984×	`+-commutative`
930×	`associate-/l*`
674×	`*-commutative`
590×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	10714
1	1831	9092
2	7646	9092

Stop Event

1×	node limit

Counts

246 → 353

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize4.0ms (0.1%)

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

eval334.0ms (11%)

Compiler: Compiled 9036 to 6455 computations (28.6% saved)

prune69.0ms (2.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	484	1	485
Fresh	0	2	2
Picked	0	1	1
Done	1	3	4
Total	485	7	492

Error

Counts

492 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.03%	(/.f64 (-.f64 x -1) (-.f64 1 x))
▶	0.02%	(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
✓	47.29%	(+.f64 (*.f64 2 x) 1)
✓	50.26%	(+.f64 -1 (/.f64 -2 x))
✓	0.13%	(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
	48.49%	1
	51.32%	-1

Compiler

Compiled 44 to 36 computations (18.2% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (-.f64 1 x) (+.f64 x 1))
✓	0.02%	(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))

Compiler

Compiled 25 to 18 computations (28% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite137.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`associate-/l*`
1046×	`associate-/r/`
898×	`*-commutative`
576×	`associate-/l/`
526×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	186	38
2	2694	38

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

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

simplify110.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-/r/`
750×	`+-commutative`
648×	`*-commutative`
528×	`associate-r`
516×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	504	7714
1	1530	6484
2	5773	6478

Stop Event

1×	node limit

Counts

218 → 310

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

eval176.0ms (5.8%)

Compiler: Compiled 5562 to 4199 computations (24.5% saved)

prune79.0ms (2.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	310	7	317

Error

Counts

317 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.03%	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	0.02%	(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
✓	47.29%	(+.f64 (*.f64 2 x) 1)
✓	50.26%	(+.f64 -1 (/.f64 -2 x))
✓	0.13%	(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
	48.49%	1
	51.32%	-1

Compiler

Compiled 44 to 36 computations (18.2% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.03%	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	0.02%	(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
✓	47.29%	(+.f64 (*.f64 2 x) 1)
✓	50.26%	(+.f64 -1 (/.f64 -2 x))
✓	0.13%	(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
	48.49%	1
	51.32%	-1

Compiler

Compiled 44 to 36 computations (18.2% saved)

regimes10.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
2.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`(/.f64 (+.f64 x 1) (-.f64 1 x))`

Compiler

Compiled 68 to 51 computations (25% saved)

regimes40.0ms (1.3%)

Counts

7 → 1

Calls

Call 1

Inputs
-1
1
(+.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))

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
0.03%	1	`x`
0.03%	1	`(/.f64 (+.f64 x 1) (-.f64 1 x))`

Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes14.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

Inputs
-1
1
(+.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:

13.0ms

Results

Error	Segments	Branch
0.64%	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch47.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.6001668012155813e-6	55326.46537756486
33.0ms	-341168.2948802482	-0.003730911077738976

Results

43.0ms

304×

body

256

valid

Compiler

Compiled 278 to 237 computations (14.7% saved)

regimes35.0ms (1.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
1.04%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch29.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.6001668012155813e-6	55326.46537756486
14.0ms	-341168.2948802482	-0.003730911077738976

Results

26.0ms

304×

body

256

valid

Compiler

Compiled 202 to 180 computations (10.9% saved)

regimes9.0ms (0.3%)

Accuracy

Total -62.1b remaining (-7095.9%)

Threshold costs -62.1b (-7095.9%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.37%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.6001668012155813e-6	55326.46537756486
15.0ms	-341168.2948802482	-0.003730911077738976

Results

29.0ms

304×

body

256

valid

Compiler

Compiled 126 to 123 computations (2.4% saved)

simplify7.0ms (0.2%)

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	29	156
1	46	156
2	49	156
3	51	156
4	52	156

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.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 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -4728779608739021/2251799813685248) (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 68 to 55 computations (19.1% saved)

soundness204.0ms (6.7%)

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

end69.0ms (2.3%)

Compiler: Compiled 63 to 50 computations (20.6% saved)

Details

analyze4.0ms (0.1%)

sample765.0ms (25.2%)

preprocess69.0ms (2.3%)

simplify74.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (1.9%)

simplify61.0ms (2%)

eval18.0ms (0.6%)

prune10.0ms (0.3%)

localize12.0ms (0.4%)

series1.0ms (0%)

rewrite70.0ms (2.3%)

simplify60.0ms (2%)

localize17.0ms (0.6%)

series1.0ms (0%)

rewrite124.0ms (4.1%)

simplify256.0ms (8.4%)

localize5.0ms (0.1%)

localize4.0ms (0.1%)

eval334.0ms (11%)

prune69.0ms (2.3%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite137.0ms (4.5%)

simplify110.0ms (3.6%)

eval176.0ms (5.8%)

prune79.0ms (2.6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes10.0ms (0.3%)

regimes40.0ms (1.3%)

regimes14.0ms (0.4%)

bsearch47.0ms (1.6%)

regimes35.0ms (1.2%)

bsearch29.0ms (1%)

regimes9.0ms (0.3%)

bsearch32.0ms (1.1%)

simplify7.0ms (0.2%)

soundness204.0ms (6.7%)

end69.0ms (2.3%)

Profiling