Details

analyze5.0ms (0.2%)

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)

sample954.0ms (33.5%)

Results

942.0ms

8256×

body

256

valid

Bogosity

preprocess66.0ms (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)

simplify70.0ms (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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (2.1%)

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))))))))

simplify68.0ms (2.4%)

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))

eval19.0ms (0.7%)

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

prune11.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Error

Counts

75 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
▶	27.5b	(+.f64 (*.f64 2 x) 1)
▶	28.1b	(+.f64 1 (*.f64 2 (fma.f64 x x x)))
▶	35.1b	(+.f64 -1 (/.f64 -2 x))
	28.4b	1
	36.2b	-1

Compiler

Compiled 45 to 35 computations (22.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite94.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 46

Calls

Call 1

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

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

localize7.0ms (0.2%)

Compiler: Compiled 22 to 10 computations (54.5% saved)

localize5.0ms (0.2%)

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

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite104.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 347

Calls

Call 1

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

Outputs

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

simplify181.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	851	19695
1	2908	18549

Stop Event

1×	node limit

Counts

383 → 619

Calls

Call 1

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

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

eval362.0ms (12.7%)

Compiler: Compiled 15524 to 11660 computations (24.9% saved)

prune145.0ms (5.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	664	1	665
Fresh	0	2	2
Picked	0	1	1
Done	1	3	4
Total	665	7	672

Error

Counts

672 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
▶	27.5b	(-.f64 x (/.f64 -1 (-.f64 1 x)))
✓	27.5b	(+.f64 (*.f64 2 x) 1)
✓	35.1b	(+.f64 -1 (/.f64 -2 x))
	28.4b	1
	36.2b	-1

Compiler

Compiled 44 to 35 computations (20.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`add-sqr-sqrt`
1906×	`*-un-lft-identity`
1778×	`add-cube-cbrt`
1762×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	177	19
2	2348	19

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-r`
978×	`associate-+r+`
856×	`associate-+l+`
828×	`associate-l`
724×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1578
1	311	1490
2	1112	1458
3	4925	1436

Stop Event

1×	node limit

Counts

50 → 66

Calls

Call 1

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

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

eval67.0ms (2.4%)

Compiler: Compiled 2214 to 1587 computations (28.3% saved)

prune20.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	148	7	155

Error

Counts

155 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
✓	27.5b	(-.f64 x (/.f64 -1 (-.f64 1 x)))
✓	27.5b	(+.f64 (*.f64 2 x) 1)
✓	35.1b	(+.f64 -1 (/.f64 -2 x))
	28.4b	1
	36.2b	-1

Compiler

Compiled 44 to 35 computations (20.5% 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
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
✓	27.5b	(-.f64 x (/.f64 -1 (-.f64 1 x)))
✓	27.5b	(+.f64 (*.f64 2 x) 1)
✓	35.1b	(+.f64 -1 (/.f64 -2 x))
	28.4b	1
	36.2b	-1

Compiler

Compiled 44 to 35 computations (20.5% saved)

regimes33.0ms (1.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))
6.0ms	x

Results

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

Compiler

Compiled 63 to 46 computations (27% saved)

regimes13.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch46.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	9.026295658352685e-5	1165.1237515061778
32.0ms	-2.360426144967067	-1.0776282774078033e-5

Results

42.0ms

288×

body

256

valid

Compiler

Compiled 300 to 243 computations (19% saved)

regimes35.0ms (1.2%)

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:

34.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch29.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	9.026295658352685e-5	1165.1237515061778
13.0ms	-2.360426144967067	-1.0776282774078033e-5

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 264 to 225 computations (14.8% saved)

regimes33.0ms (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:

32.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch60.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	9.026295658352685e-5	1165.1237515061778
13.0ms	-2.360426144967067	-1.0776282774078033e-5

Results

57.0ms

288×

body

256

valid

Compiler

Compiled 192 to 171 computations (10.9% saved)

regimes9.0ms (0.3%)

Accuracy

Total -61.4b remaining (-3722.7%)

Threshold costs -61.4b (-3722.7%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch31.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	9.026295658352685e-5	1165.1237515061778
18.0ms	-2.360426144967067	-1.0776282774078033e-5

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 120 to 117 computations (2.5% saved)

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
8×	`sub-neg`
8×	`if-if-or-not`
6×	`*-commutative`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	188
1	57	188
2	65	188
3	69	188
4	71	188

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 5/4) (-.f64 x (/.f64 -1 (-.f64 1 x))) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -4728779608739021/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 5/4) (-.f64 x (/.f64 -1 (-.f64 1 x))) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -4728779608739021/2251799813685248) (not (<=.f64 x 5/4))) (+.f64 -1 (/.f64 -2 x)) (-.f64 x (/.f64 -1 (-.f64 1 x))))
(if (or (<=.f64 x -4728779608739021/2251799813685248) (not (<=.f64 x 5/4))) (+.f64 -1 (/.f64 -2 x)) (+.f64 x (/.f64 1 (-.f64 1 x))))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1080863910568919/2251799813685248) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) (+.f64 1 (*.f64 x 2)))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) 1)
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Compiler

Compiled 80 to 64 computations (20% saved)

soundness0.0ms (0%)

end82.0ms (2.9%)

Compiler: Compiled 75 to 59 computations (21.3% saved)

Details

analyze5.0ms (0.2%)

sample954.0ms (33.5%)

preprocess66.0ms (2.3%)

simplify70.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (2.1%)

simplify68.0ms (2.4%)

eval19.0ms (0.7%)

prune11.0ms (0.4%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite94.0ms (3.3%)

simplify54.0ms (1.9%)

localize7.0ms (0.2%)

localize5.0ms (0.2%)

localize11.0ms (0.4%)

series3.0ms (0.1%)

rewrite104.0ms (3.6%)

simplify181.0ms (6.3%)

eval362.0ms (12.7%)

prune145.0ms (5.1%)

localize7.0ms (0.3%)

series1.0ms (0%)

rewrite72.0ms (2.5%)

simplify60.0ms (2.1%)

eval67.0ms (2.4%)

prune20.0ms (0.7%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes33.0ms (1.2%)

regimes13.0ms (0.4%)

bsearch46.0ms (1.6%)

regimes35.0ms (1.2%)

bsearch29.0ms (1%)

regimes33.0ms (1.2%)

bsearch60.0ms (2.1%)

regimes9.0ms (0.3%)

bsearch31.0ms (1.1%)

simplify16.0ms (0.6%)

soundness0.0ms (0%)

end82.0ms (2.9%)

Profiling