Details

analyze4.0ms (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)

sample831.0ms (52.1%)

Results

821.0ms

8256×

body

256

valid

Bogosity

preprocess71.0ms (4.4%)

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)

simplify68.0ms (4.3%)

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 (0.1%)

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 (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (3.8%)

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))))))))

simplify72.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 74

Calls

Call 1

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

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

eval18.0ms (1.1%)

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

prune10.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	5	75

Error

Counts

75 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
▶	29.4b	(+.f64 (*.f64 2 x) 1)
▶	33.0b	(+.f64 -1 (/.f64 -2 x))
	30.3b	1
	33.7b	-1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize5.0ms (0.3%)

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))

rewrite74.0ms (4.6%)

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)))))

simplify53.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 46

Calls

Call 1

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

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

localize5.0ms (0.3%)

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

eval10.0ms (0.7%)

Compiler: Compiled 534 to 422 computations (21% saved)

prune41.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	46	5	51

Error

Counts

51 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	29.4b	(+.f64 (*.f64 2 x) 1)
✓	33.0b	(+.f64 -1 (/.f64 -2 x))
	30.3b	1
	33.7b	-1

Compiler

Compiled 24 to 20 computations (16.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	29.4b	(+.f64 (*.f64 2 x) 1)
✓	33.0b	(+.f64 -1 (/.f64 -2 x))
	30.3b	1
	33.7b	-1

Compiler

Compiled 24 to 20 computations (16.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x -1) (-.f64 1 x))
✓	29.4b	(+.f64 (*.f64 2 x) 1)
✓	33.0b	(+.f64 -1 (/.f64 -2 x))
	30.3b	1
	33.7b	-1

Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes8.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

Results

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes12.0ms (0.8%)

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:

10.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch36.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	9.098644529929987e-6	456.3056051006216
22.0ms	-195688.66597097993	-1.246922791029771e-6

Results

32.0ms

304×

body

256

valid

Compiler

Compiled 278 to 237 computations (14.7% saved)

regimes30.0ms (1.9%)

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:

9.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch66.0ms (4.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	9.098644529929987e-6	456.3056051006216
17.0ms	-195688.66597097993	-1.246922791029771e-6

Results

62.0ms

304×

body

256

valid

Compiler

Compiled 202 to 180 computations (10.9% saved)

regimes9.0ms (0.6%)

Accuracy

Total -62.0b remaining (-6365.7%)

Threshold costs -62.0b (-6365.7%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch30.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	9.098644529929987e-6	456.3056051006216
16.0ms	-195688.66597097993	-1.246922791029771e-6

Results

26.0ms

304×

body

256

valid

Compiler

Compiled 126 to 123 computations (2.4% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -2308094809027379/1125899906842624) (+.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 -2308094809027379/1125899906842624) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -2308094809027379/1125899906842624) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) (+.f64 1 (*.f64 x 2)))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 -1 (/.f64 -2 x)) 1)
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Compiler

Compiled 58 to 47 computations (19% saved)

soundness0.0ms (0%)

end62.0ms (3.9%)

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

Details

analyze4.0ms (0.2%)

sample831.0ms (52.1%)

preprocess71.0ms (4.4%)

simplify68.0ms (4.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize7.0ms (0.4%)

series1.0ms (0%)

rewrite60.0ms (3.8%)

simplify72.0ms (4.5%)

eval18.0ms (1.1%)

prune10.0ms (0.6%)

localize5.0ms (0.3%)

series1.0ms (0%)

rewrite74.0ms (4.6%)

simplify53.0ms (3.3%)

localize5.0ms (0.3%)

eval10.0ms (0.7%)

prune41.0ms (2.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes8.0ms (0.5%)

regimes12.0ms (0.8%)

bsearch36.0ms (2.3%)

regimes30.0ms (1.9%)

bsearch66.0ms (4.1%)

regimes9.0ms (0.6%)

bsearch30.0ms (1.8%)

simplify8.0ms (0.5%)

soundness0.0ms (0%)

end62.0ms (3.9%)

Profiling