Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
71.4%	62.5%	25%	0%	12.5%	0%	0%	5
83.3%	62.5%	12.5%	0%	25%	0%	0%	6
91.3%	65.6%	6.2%	0%	28.1%	0%	0%	7
95.5%	65.6%	3.1%	0%	31.2%	0%	0%	8
97.7%	66.4%	1.6%	0%	32%	0%	0%	9
98.8%	66.4%	0.8%	0%	32.8%	0%	0%	10
99.4%	66.6%	0.4%	0%	33%	0%	0%	11
99.7%	66.6%	0.2%	0%	33.2%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.0s (21.3%)

Results

997.0ms	8256×	body	256	valid
1.0ms	16×	body	256	infinite

Bogosity

preprocess148.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

1812×	`rational.json-simplify-35`
1356×	`rational.json-simplify-53`
1042×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`
628×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	17	31
2	27	31
3	52	25
4	219	25
5	2039	25
6	6016	25
7	7922	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 x (.f64 x x))))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x x) (.f64 x 6450306886639899/50000000000000000)))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify145.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1812×	`rational.json-simplify-35`
1356×	`rational.json-simplify-53`
1042×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`
628×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	17	31
2	27	31
3	52	25
4	219	25
5	2039	25
6	6016	25
7	7922	25

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 x (.f64 x x))))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x x) (.f64 x 6450306886639899/50000000000000000)))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))

eval1.0ms (0%)

Compiler: Compiled 52 to 31 computations (40.4% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

0.1b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x x) (.f64 x 6450306886639899/50000000000000000)))
▶	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
▶	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
▶	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (.f64 x x)))
✓	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 x x))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))

New

Error

Program

✓

0.0b

(-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))

✓

0.1b

(*.f64 6450306886639899/50000000000000000 (*.f64 x x))

✓

0.2b

(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
0.0ms	x	@	0	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
0.0ms	x	@	0	(.f64 6450306886639899/50000000000000000 (.f64 x x))
0.0ms	x	@	inf	(.f64 6450306886639899/50000000000000000 (.f64 x x))
0.0ms	x	@	-inf	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))

rewrite77.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2008×	`rational.json-simplify-35`
1112×	`rational.json-1`
1112×	`rational.json-2`
1112×	`rational.json-4`
1112×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	62	57
2	141	57
3	334	57
4	1197	57
5	3961	57

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs

(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))

(*.f64 6450306886639899/50000000000000000 (*.f64 x x))

(-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)))) (.f64 2 (.f64 2 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2) (/.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 6450306886639899/25000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) 6450306886639899/12500000000000000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 6450306886639899/50000000000000000 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x x) 6450306886639899/12500000000000000)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (.f64 2 (/.f64 1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 6450306886639899/12500000000000000))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 6450306886639899/12500000000000000))) (.f64 2 (.f64 2 (.f64 (.f64 x x) 6450306886639899/12500000000000000)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 238732414637843/250000000000000 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 238732414637843/250000000000000 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -238732414637843/250000000000000 (+.f64 -238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/25000000000000000)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 -238732414637843/250000000000000 (+.f64 -238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/25000000000000000))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4))) (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2) (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4)))) (*.f64 2 (*.f64 2 (*.f64 x (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 2) (/.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 6450306886639899/25000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 6450306886639899/12500000000000000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x x) 6450306886639899/12500000000000000)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (*.f64 2 (/.f64 1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 6450306886639899/12500000000000000))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 6450306886639899/12500000000000000))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 6450306886639899/12500000000000000)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 238732414637843/250000000000000 (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 238732414637843/250000000000000 (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2) (/.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -238732414637843/250000000000000 (+.f64 -238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/25000000000000000)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -238732414637843/250000000000000 (+.f64 -238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/25000000000000000))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))))))

simplify258.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1000×	`rational.json-simplify-2`
998×	`rational.json-simplify-1`
924×	`rational.json-simplify-51`
906×	`rational.json-simplify-35`
846×	`rational.json-simplify-59`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	1524
1	258	1518
2	622	1518
3	1980	1518
4	5562	1518
5	6892	1518
6	7931	1518

Stop Event

1×	node limit

Counts

84 → 62

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)
(+.f64 0 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(+.f64 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2))
(-.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)
(/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(/.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) (+.f64 x x)) 2)
(/.f64 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)) 4)
(/.f64 (.f64 2 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)))) (.f64 2 (.f64 2 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4))))) 32)
(pow.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 0)
(+.f64 0 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(+.f64 (/.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2) (/.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 2))
(-.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 0)
(/.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 1)
(/.f64 (.f64 x (.f64 x 6450306886639899/25000000000000000)) 2)
(/.f64 (.f64 (.f64 x x) 6450306886639899/12500000000000000) 4)
(/.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(/.f64 (.f64 2 (.f64 (*.f64 x x) 6450306886639899/12500000000000000)) 8)
(/.f64 (.f64 2 (.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (*.f64 2 (/.f64 1 (fabs.f64 x))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 6450306886639899/12500000000000000))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 6450306886639899/12500000000000000))) (.f64 2 (.f64 2 (.f64 (.f64 x x) 6450306886639899/12500000000000000)))) 32)
(pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 1)
(+.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 0)
(+.f64 0 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))
(+.f64 -1 (-.f64 238732414637843/250000000000000 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -1)))
(+.f64 (-.f64 238732414637843/250000000000000 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -1)) -1)
(+.f64 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))
(.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)
(.f64 1 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(.f64 2 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2))
(.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) 1/2)
(.f64 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) -1)
(.f64 -1 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(.f64 1/2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))
(.f64 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2) 2)
(/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)
(/.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2) 2)
(/.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) -1)
(/.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4) 4)
(/.f64 (+.f64 -238732414637843/250000000000000 (+.f64 -238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/25000000000000000)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4))) 16)
(/.f64 (.f64 2 (+.f64 -238732414637843/250000000000000 (+.f64 -238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/25000000000000000))))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4))) (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)))) 32)
(pow.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)
(neg.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
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(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
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localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
✓	0.1b	(*.f64 x 6450306886639899/50000000000000000)
✓	0.1b	(.f64 x (.f64 x 6450306886639899/50000000000000000))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
0.0ms	x	@	-inf	(*.f64 x 6450306886639899/50000000000000000)
0.0ms	x	@	0	(*.f64 x 6450306886639899/50000000000000000)
0.0ms	x	@	inf	(*.f64 x 6450306886639899/50000000000000000)
0.0ms	x	@	0	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))

rewrite108.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`rational.json-1`
1804×	`rational.json-2`
1244×	`rational.json-simplify-35`
1080×	`rational.json-simplify-2`
876×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	64
1	59	64
2	120	64
3	254	64
4	469	64
5	1138	64
6	2974	64
7	7308	64

Stop Event

1×	node limit

Counts

4 → 70

Calls

Call 1

Inputs
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(.f64 x (.f64 x 6450306886639899/50000000000000000))
(*.f64 x 6450306886639899/50000000000000000)
(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -488732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -488732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1/2) (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 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238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -238732414637843/250000000000000 (+.f64 (.f64 x (.f64 x 6450306886639899/25000000000000000)) -238732414637843/250000000000000)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4)) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))))))

simplify144.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1432×	`rational.json-simplify-51`
1074×	`rational.json-simplify-2`
1010×	`rational.json-simplify-35`
870×	`rational.json-simplify-53`
776×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	1906
1	352	1894
2	913	1894
3	2471	1894
4	6686	1894
5	7754	1894

Stop Event

1×	node limit

Counts

118 → 85

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
238732414637843/250000000000000
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(+.f64 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)) 238732414637843/250000000000000)
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 238732414637843/250000000000000 (*.f64 -6450306886639899/50000000000000000 (pow.f64 x 2)))
(+.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)
(+.f64 0 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(+.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (.f64 x 1/2)) (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) (.f64 x 1/2)))
(-.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)
(/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(/.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) (+.f64 x x)) 2)
(/.f64 (.f64 x (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4)) 4)
(/.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 8)))) 64)
(pow.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 0)
(+.f64 0 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(+.f64 (.f64 x (.f64 x 6450306886639899/100000000000000000)) (.f64 x (.f64 x 6450306886639899/100000000000000000)))
(-.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 0)
(/.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 1)
(/.f64 (.f64 x (.f64 x 6450306886639899/25000000000000000)) 2)
(/.f64 (.f64 x (.f64 x 6450306886639899/12500000000000000)) 4)
(/.f64 (.f64 6450306886639899/6250000000000000 (.f64 x x)) 8)
(/.f64 (.f64 2 (.f64 6450306886639899/6250000000000000 (*.f64 x x))) 16)
(/.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 6450306886639899/6250000000000000 (.f64 x x)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 6450306886639899/6250000000000000 (.f64 x x)))) (.f64 2 (.f64 2 (.f64 6450306886639899/6250000000000000 (.f64 x x))))) 64)
(pow.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) 1)
(+.f64 (*.f64 x 6450306886639899/50000000000000000) 0)
(+.f64 0 (*.f64 x 6450306886639899/50000000000000000))
(+.f64 (.f64 x 6450306886639899/100000000000000000) (.f64 x 6450306886639899/100000000000000000))
(-.f64 (*.f64 x 6450306886639899/50000000000000000) 0)
(/.f64 (*.f64 x 6450306886639899/50000000000000000) 1)
(/.f64 (*.f64 x 6450306886639899/25000000000000000) 2)
(/.f64 (*.f64 x 6450306886639899/12500000000000000) 4)
(/.f64 (.f64 (.f64 x 6450306886639899/50000000000000000) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 x 6450306886639899/50000000000000000) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 6450306886639899/50000000000000000) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 6450306886639899/50000000000000000) 8))) (.f64 2 (.f64 2 (.f64 (.f64 x 6450306886639899/50000000000000000) 8)))) 64)
(pow.f64 (*.f64 x 6450306886639899/50000000000000000) 1)
(+.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 0)
(+.f64 0 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))
(+.f64 -1 (neg.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -488732414637843/250000000000000)))
(+.f64 (neg.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -488732414637843/250000000000000)) -1)
(+.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1/2) (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1/2))
(+.f64 -2 (-.f64 1 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -488732414637843/250000000000000)))
(.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)
(.f64 1 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1/2))
(.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) 1/2)
(.f64 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) -1)
(.f64 4 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4))
(.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4) 1/4)
(.f64 -1 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(.f64 1/2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))
(.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4))
(.f64 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4) 4)
(/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)
(/.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2) 2)
(/.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) -1)
(/.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4) 4)
(/.f64 (+.f64 -238732414637843/250000000000000 (+.f64 (.f64 x (.f64 x 6450306886639899/25000000000000000)) -238732414637843/250000000000000)) -2)
(/.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 8) 8)
(/.f64 (.f64 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8)) 16)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 8))) 32)
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4)) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4))) 8)
(pow.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)
(neg.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))

Outputs
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 238732414637843/250000000000000 x) (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 2))
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 x 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 x)
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(.f64 x (.f64 x 6450306886639899/50000000000000000))
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(.f64 x (.f64 x 6450306886639899/50000000000000000))
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(*.f64 x 6450306886639899/50000000000000000)
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(*.f64 x 6450306886639899/50000000000000000)
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(*.f64 x 6450306886639899/50000000000000000)
(pow.f64 (*.f64 x 6450306886639899/50000000000000000) 1)
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(.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1/2))
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(.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) 1/2)
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(.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1/2) 2)
(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(.f64 1/4 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 4))
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(.f64 (/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4) 4)
(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(/.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)
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(/.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2) 2)
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(/.f64 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 4) 4)
(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(/.f64 (+.f64 -238732414637843/250000000000000 (+.f64 (.f64 x (.f64 x 6450306886639899/25000000000000000)) -238732414637843/250000000000000)) -2)
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(/.f64 (.f64 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4) -4)
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(/.f64 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8)) 16)
(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4)) -8)
(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 8))) 32)
(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4)) 4)
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(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 8)))) 64)
(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4)) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) 4))) 8)
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(pow.f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)
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(neg.f64 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))
(-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.1b	(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
✓	0.1b	(.f64 (.f64 x x) x)

Compiler

Compiled 33 to 14 computations (57.6% saved)

series35.0ms (0.7%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	(*.f64 238732414637843/250000000000000 x)
0.0ms	x	@	0	(.f64 (.f64 x x) x)
0.0ms	x	@	inf	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
0.0ms	x	@	-inf	(.f64 (.f64 x x) x)
0.0ms	x	@	inf	(*.f64 238732414637843/250000000000000 x)

rewrite83.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`rational.json-1`
1224×	`rational.json-2`
1224×	`rational.json-4`
1224×	`rational.json-3`
1218×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	70
1	69	70
2	157	68
3	385	64
4	1346	64
5	4356	64

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(.f64 6450306886639899/50000000000000000 (.f64 (*.f64 x x) x))
(*.f64 238732414637843/250000000000000 x)
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x (.f64 x x)) 2) (/.f64 (.f64 x (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x (.f64 x x)) (/.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (.f64 x 4) (.f64 (.f64 x (.f64 x x)) (/.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (.f64 2 (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 x x)) (.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 x) (/.f64 1 (.f64 x (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x x) (.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) (.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) (/.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 6450306886639899/50000000000000000) (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x (.f64 x x)) (/.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (.f64 x 4) (.f64 (.f64 x (.f64 x x)) (/.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (.f64 x x) 6450306886639899/25000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (.f64 x x)) 6450306886639899/12500000000000000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 6450306886639899/25000000000000000) (.f64 2 (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x (.f64 x x)) 6450306886639899/12500000000000000)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (.f64 x x)) 6450306886639899/12500000000000000))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x 6450306886639899/50000000000000000)) (neg.f64 (/.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 238732414637843/250000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x 238732414637843/250000000000000) 2) (/.f64 (.f64 x 238732414637843/250000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 238732414637843/250000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 238732414637843/125000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 238732414637843/62500000000000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x 238732414637843/62500000000000)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 x 238732414637843/62500000000000))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 238732414637843/250000000000000) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 238732414637843/250000000000000) (neg.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000)))) (.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000)))) (.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))))))

simplify91.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1186×	`rational.json-simplify-44`
1084×	`rational.json-simplify-49`
1040×	`rational.json-simplify-61`
1018×	`rational.json-simplify-47`
902×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1844
1	434	1844
2	1324	1814
3	6457	1814

Stop Event

1×	node limit

Counts

108 → 92

Calls

Call 1

Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 x (.f64 x x)) 0)
(+.f64 0 (.f64 x (.f64 x x)))
(+.f64 (/.f64 (.f64 x (.f64 x x)) 2) (/.f64 (.f64 x (.f64 x x)) 2))
(-.f64 (.f64 x (.f64 x x)) 0)
(/.f64 x (/.f64 1 (*.f64 x x)))
(/.f64 x (/.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x (*.f64 x x)) (/.f64 x x))) 2))
(/.f64 x (/.f64 (/.f64 (.f64 x 4) (.f64 (.f64 x (.f64 x x)) (/.f64 x x))) 4))
(/.f64 (*.f64 x x) (/.f64 1 x))
(/.f64 (.f64 x (.f64 x x)) 1)
(/.f64 (.f64 x (.f64 x (+.f64 x x))) 2)
(/.f64 (+.f64 x x) (.f64 2 (/.f64 1 (.f64 x x))))
(/.f64 (.f64 x (+.f64 x x)) (.f64 2 (/.f64 1 x)))
(/.f64 (fabs.f64 x) (/.f64 1 (*.f64 x (fabs.f64 x))))
(/.f64 (.f64 (.f64 x x) (*.f64 x 4)) 4)
(/.f64 (*.f64 x (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (.f64 2 (.f64 (.f64 x x) (.f64 x 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) (*.f64 x 4)))) 16)
(pow.f64 (.f64 x (.f64 x x)) 1)
(+.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 0)
(+.f64 0 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) (/.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))
(-.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 0)
(/.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)
(/.f64 (.f64 x 6450306886639899/50000000000000000) (/.f64 1 (.f64 x x)))
(/.f64 (.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x (.f64 x x)) (/.f64 x x))) 2))
(/.f64 (.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (.f64 x 4) (.f64 (.f64 x (*.f64 x x)) (/.f64 x x))) 4))
(/.f64 (.f64 x (.f64 (*.f64 x x) 6450306886639899/25000000000000000)) 2)
(/.f64 (.f64 (.f64 x (*.f64 x x)) 6450306886639899/12500000000000000) 4)
(/.f64 (.f64 x 6450306886639899/25000000000000000) (.f64 2 (/.f64 1 (*.f64 x x))))
(/.f64 (.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))
(/.f64 (.f64 2 (.f64 (.f64 x (.f64 x x)) 6450306886639899/12500000000000000)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (*.f64 x x)) 6450306886639899/12500000000000000))) 16)
(/.f64 (neg.f64 (.f64 x 6450306886639899/50000000000000000)) (neg.f64 (/.f64 1 (.f64 x x))))
(pow.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(+.f64 (/.f64 (.f64 x 238732414637843/250000000000000) 2) (/.f64 (.f64 x 238732414637843/250000000000000) 2))
(-.f64 (*.f64 x 238732414637843/250000000000000) 0)
(/.f64 (*.f64 x 238732414637843/250000000000000) 1)
(/.f64 (*.f64 x 238732414637843/125000000000000) 2)
(/.f64 (*.f64 x 238732414637843/62500000000000) 4)
(/.f64 (.f64 2 (.f64 x 238732414637843/62500000000000)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 238732414637843/62500000000000))) 16)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(+.f64 (.f64 x 238732414637843/250000000000000) (neg.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000)))))
(+.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)
(+.f64 0 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(+.f64 (neg.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000)))) (.f64 x 238732414637843/250000000000000))
(+.f64 -1 (+.f64 1 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
(+.f64 -1 (+.f64 (-.f64 1 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000)))) (.f64 x 238732414637843/250000000000000)))
(+.f64 (+.f64 1 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))) -1)
(+.f64 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 1)
(.f64 1 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))))
(.f64 2 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2))
(.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2) 1/2)
(.f64 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)
(.f64 -1 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(.f64 1/2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2))
(.f64 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) 2)
(.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) x)
(/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(/.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) 2)
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)
(/.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4) 4)
(/.f64 (.f64 2 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))) -2)
(/.f64 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4))) 16)
(pow.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))

Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
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(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(.f64 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000) (neg.f64 x))
(.f64 (neg.f64 x) (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000))
(.f64 x (neg.f64 (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(.f64 x (neg.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000)))

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x x) (.f64 x 6450306886639899/50000000000000000)))
	0.1b	(*.f64 x 6450306886639899/50000000000000000)
	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.2b	(.f64 (.f64 x x) (*.f64 x 6450306886639899/50000000000000000))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x x) (*.f64 x 6450306886639899/50000000000000000))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (*.f64 x 6450306886639899/50000000000000000))
0.0ms	x	@	-inf	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x x) (.f64 x 6450306886639899/50000000000000000)))
0.0ms	x	@	inf	(.f64 (.f64 x x) (*.f64 x 6450306886639899/50000000000000000))
0.0ms	x	@	0	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x x) (.f64 x 6450306886639899/50000000000000000)))

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational.json-1`
1238×	`rational.json-2`
1238×	`rational.json-4`
1238×	`rational.json-3`
1232×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	69	50
2	158	44
3	388	44
4	1359	44
5	4366	44

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(.f64 (.f64 x x) (*.f64 x 6450306886639899/50000000000000000))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x x) (.f64 x 6450306886639899/50000000000000000)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2) (/.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6450306886639899/50000000000000000) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (*.f64 x 4) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6450306886639899/25000000000000000) (*.f64 2 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/25000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (*.f64 x 6450306886639899/12500000000000000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x x) (*.f64 x 6450306886639899/12500000000000000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x x) (*.f64 x 6450306886639899/12500000000000000)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 6450306886639899/50000000000000000)) (neg.f64 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (neg.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) (*.f64 x 238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2) (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 2 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 2 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))))))

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1518×	`rational.json-simplify-2`
1016×	`rational.json-simplify-51`
748×	`rational.json-simplify-49`
636×	`rational.json-simplify-35`
632×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1443
1	311	1443
2	899	1413
3	3908	1413

Stop Event

1×	node limit

Counts

67 → 62

Calls

Call 1

Inputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 0)
(+.f64 0 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2) (/.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000))) 2))
(-.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 0)
(/.f64 (.f64 x 6450306886639899/50000000000000000) (/.f64 1 (.f64 x x)))
(/.f64 (.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (+.f64 x x) (.f64 (.f64 x x) (/.f64 (.f64 x x) x))) 2))
(/.f64 (.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (.f64 x 4) (.f64 (.f64 x x) (/.f64 (*.f64 x x) x))) 4))
(/.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)
(/.f64 (.f64 x 6450306886639899/25000000000000000) (.f64 2 (/.f64 1 (*.f64 x x))))
(/.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/25000000000000000))) 2)
(/.f64 (.f64 (.f64 x x) (*.f64 x 6450306886639899/12500000000000000)) 4)
(/.f64 (.f64 x (.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))
(/.f64 (.f64 2 (.f64 (.f64 x x) (.f64 x 6450306886639899/12500000000000000))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) (*.f64 x 6450306886639899/12500000000000000)))) 16)
(/.f64 (neg.f64 (.f64 x 6450306886639899/50000000000000000)) (neg.f64 (/.f64 1 (.f64 x x))))
(pow.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)
(+.f64 (.f64 x 238732414637843/250000000000000) (neg.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000)))))
(+.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)
(+.f64 0 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(+.f64 (neg.f64 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000)))) (.f64 x 238732414637843/250000000000000))
(+.f64 -1 (+.f64 1 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
(+.f64 -1 (+.f64 (-.f64 1 (.f64 x (.f64 x (.f64 x 6450306886639899/50000000000000000)))) (.f64 x 238732414637843/250000000000000)))
(+.f64 (+.f64 1 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))) -1)
(+.f64 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 1)
(.f64 1 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))))
(.f64 2 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2))
(.f64 (.f64 x (.f64 2 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))) 1/2)
(.f64 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)
(.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) x)
(.f64 -1 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(.f64 1/2 (.f64 x (.f64 2 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))))
(.f64 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) 2)
(/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(/.f64 (.f64 x (.f64 2 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))) 2)
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)
(/.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4) 4)
(/.f64 (.f64 x (.f64 2 (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000))) -2)
(/.f64 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4))) 16)
(pow.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))

Outputs
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(*.f64 x 238732414637843/250000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 (pow.f64 x 3) -6450306886639899/50000000000000000) (.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 0)
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 x (.f64 6450306886639899/50000000000000000 (*.f64 x x)))
(*.f64 x (/.f64 x (/.f64 50000000000000000/6450306886639899 x)))
(.f64 (.f64 x x) (/.f64 x 50000000000000000/6450306886639899))
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(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
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(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (.f64 x (.f64 2 (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000))))) 2)
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(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
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(.f64 x (neg.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000)))
(/.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4) 4)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
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(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000)))
(.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000)))
(/.f64 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4)) 8)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4))) 16)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
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(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000)))
(.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000) (neg.f64 x))
(.f64 x (neg.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000)))

eval113.0ms (2.4%)

Compiler: Compiled 4185 to 2925 computations (30.1% saved)

prune72.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	322	3	325
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	323	6	329

Error

0.1b

Counts

329 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (/.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))
▶	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899)))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
▶	16.6b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 64 to 44 computations (31.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x 238732414637843/250000000000000)
0.0ms	x	@	inf	(*.f64 x 238732414637843/250000000000000)
0.0ms	x	@	-inf	(*.f64 x 238732414637843/250000000000000)

rewrite264.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2420×	`rational.json-simplify-2`
2364×	`rational.json-simplify-35`
1480×	`rational.json-simplify-1`
1110×	`exponential.json-3`
1110×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	33	7
2	78	7
3	158	7
4	278	7
5	583	7
6	1338	7
7	2845	7
8	4416	7
9	4982	7
10	6049	7
11	6756	7
12	6756	7
13	7821	7
14	7821	7

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/500000000000000) (*.f64 x 238732414637843/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 238732414637843/250000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 238732414637843/250000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 238732414637843/125000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 238732414637843/62500000000000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 238732414637843/31250000000000) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 238732414637843/31250000000000)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x 238732414637843/31250000000000))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 238732414637843/31250000000000)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 238732414637843/31250000000000))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 238732414637843/31250000000000)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 238732414637843/31250000000000))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 238732414637843/31250000000000))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 238732414637843/31250000000000)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 238732414637843/250000000000000) 1)))))

simplify948.0ms (20%)

Algorithm

1×	egg-herbie

Rules

5844×	`rational.json-simplify-51`
2758×	`rational.json-simplify-49`
2728×	`rational.json-simplify-35`
1494×	`rational.json-simplify-2`
1010×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	196
1	123	196
2	219	196
3	542	196
4	1299	196
5	2989	196
6	4014	196
7	4142	196
8	4197	196
9	4248	196
10	4297	196
11	4345	196
12	4431	196
13	4476	196
14	4520	196
15	4564	196
16	4608	196
17	4652	196
18	4696	196
19	4740	196
20	4784	196
21	4828	196
22	4872	196
23	4916	196
24	4960	196
25	4960	196
26	5004	196
27	5048	196
28	5092	196
29	5136	196
30	5180	196
31	5224	196
32	5268	196
33	5312	196
34	5356	196
35	5400	196

Stop Event

1×	node limit

Counts

28 → 17

Calls

Call 1

Inputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(+.f64 (.f64 x 238732414637843/500000000000000) (.f64 x 238732414637843/500000000000000))
(-.f64 (*.f64 x 238732414637843/250000000000000) 0)
(/.f64 (*.f64 x 238732414637843/250000000000000) 1)
(/.f64 (*.f64 x 238732414637843/125000000000000) 2)
(/.f64 (*.f64 x 238732414637843/62500000000000) 4)
(/.f64 (*.f64 x 238732414637843/31250000000000) 8)
(/.f64 (.f64 2 (.f64 x 238732414637843/31250000000000)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 238732414637843/31250000000000))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x 238732414637843/31250000000000)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 238732414637843/31250000000000))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 238732414637843/31250000000000)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 238732414637843/31250000000000))))))) 512)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 238732414637843/31250000000000))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 238732414637843/31250000000000)))))))) 1024)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)

Outputs
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(*.f64 238732414637843/250000000000000 x)
(+.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 238732414637843/250000000000000 x)
(+.f64 0 (*.f64 x 238732414637843/250000000000000))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 x 238732414637843/500000000000000) (.f64 x 238732414637843/500000000000000))
(*.f64 238732414637843/250000000000000 x)
(-.f64 (*.f64 x 238732414637843/250000000000000) 0)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (*.f64 x 238732414637843/125000000000000) 2)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (*.f64 x 238732414637843/62500000000000) 4)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (*.f64 x 238732414637843/31250000000000) 8)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (.f64 2 (.f64 x 238732414637843/31250000000000)) 16)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 238732414637843/31250000000000))) 32)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x 238732414637843/31250000000000)))) 64)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 238732414637843/31250000000000))))) 128)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 238732414637843/31250000000000)))))) 256)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 238732414637843/31250000000000))))))) 512)
(*.f64 238732414637843/250000000000000 x)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 238732414637843/31250000000000))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 238732414637843/31250000000000)))))))) 1024)
(*.f64 238732414637843/250000000000000 x)
(pow.f64 (*.f64 x 238732414637843/250000000000000) 1)
(*.f64 238732414637843/250000000000000 x)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899)))
	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.2b	(.f64 (.f64 x x) (/.f64 x 50000000000000000/6450306886639899))
✓	0.3b	(/.f64 x 50000000000000000/6450306886639899)

Compiler

Compiled 31 to 17 computations (45.2% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x 50000000000000000/6450306886639899)
0.0ms	x	@	-inf	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899)))
0.0ms	x	@	inf	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899)))
0.0ms	x	@	0	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899)))
0.0ms	x	@	inf	(/.f64 x 50000000000000000/6450306886639899)

rewrite82.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`rational.json-1`
1260×	`rational.json-2`
1260×	`rational.json-4`
1260×	`rational.json-3`
1250×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	70	57
2	165	55
3	404	51
4	1417	51
5	4526	51

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs

(/.f64 x 50000000000000000/6450306886639899)

(*.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899))

(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 6450306886639899/50000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 6450306886639899/50000000000000000) 2) (/.f64 (*.f64 x 6450306886639899/50000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x 100000000000000000/6450306886639899) (/.f64 x 100000000000000000/6450306886639899))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 6450306886639899/50000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 6450306886639899/50000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 6450306886639899/50000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 6450306886639899/50000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 6450306886639899/100000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x 6450306886639899/50000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x 100000000000000000/6450306886639899))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 6450306886639899/25000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 6450306886639899/200000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6450306886639899/50000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6450306886639899/100000000000000000 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x 6450306886639899/25000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 6450306886639899/50000000000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 100000000000000000/6450306886639899) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6450306886639899/200000000000000000 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 6450306886639899/50000000000000000) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x x)) 2) (/.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6450306886639899/50000000000000000) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (+.f64 x x) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6450306886639899/50000000000000000) (/.f64 (/.f64 (*.f64 x 4) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 50000000000000000/6450306886639899 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6450306886639899/25000000000000000) (*.f64 2 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x x)) (*.f64 2 (/.f64 50000000000000000/6450306886639899 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (*.f64 x 6450306886639899/25000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x (*.f64 x 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (fabs.f64 x) 6450306886639899/50000000000000000)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x (*.f64 x 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x (*.f64 x 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 6450306886639899/50000000000000000)) (neg.f64 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 238732414637843/250000000000000) (neg.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 x 6450306886639899/50000000000000000) (*.f64 x x))) (*.f64 x 238732414637843/250000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2) (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))))))

simplify86.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1652×	`rational.json-simplify-53`
1536×	`rational.json-simplify-51`
1264×	`rational.json-simplify-49`
1028×	`rational.json-simplify-61`
994×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1706
1	352	1698
2	1199	1698
3	5625	1676

Stop Event

1×	node limit

Counts

100 → 81

Calls

Call 1

Inputs
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 x)
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 6450306886639899/50000000000000000 (pow.f64 x 3))
(*.f64 238732414637843/250000000000000 x)
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(*.f64 -6450306886639899/50000000000000000 (pow.f64 x 3))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (.f64 -6450306886639899/50000000000000000 (pow.f64 x 3)) (.f64 238732414637843/250000000000000 x))
(+.f64 (*.f64 x 6450306886639899/50000000000000000) 0)
(+.f64 0 (*.f64 x 6450306886639899/50000000000000000))
(+.f64 (/.f64 (.f64 x 6450306886639899/50000000000000000) 2) (/.f64 (.f64 x 6450306886639899/50000000000000000) 2))
(+.f64 (/.f64 x 100000000000000000/6450306886639899) (/.f64 x 100000000000000000/6450306886639899))
(-.f64 (*.f64 x 6450306886639899/50000000000000000) 0)
(*.f64 x 6450306886639899/50000000000000000)
(.f64 (.f64 x 6450306886639899/50000000000000000) 1)
(.f64 1 (.f64 x 6450306886639899/50000000000000000))
(*.f64 (+.f64 x x) 6450306886639899/100000000000000000)
(.f64 2 (/.f64 (.f64 x 6450306886639899/50000000000000000) 2))
(*.f64 2 (/.f64 x 100000000000000000/6450306886639899))
(.f64 (.f64 x 6450306886639899/25000000000000000) 1/2)
(.f64 (.f64 x 4) 6450306886639899/200000000000000000)
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Outputs
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(.f64 (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000) (neg.f64 x))
(.f64 1/2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 2))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 -1 (.f64 x (+.f64 (.f64 x (.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000)))
(.f64 x (neg.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000)))
(.f64 (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000) (neg.f64 x))
(.f64 (/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) 2)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))) x)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 2) 2)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -1)
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000)))
(.f64 x (neg.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000)))
(.f64 (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000) (neg.f64 x))
(/.f64 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4) 4)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 4)) 8)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(/.f64 (.f64 (+.f64 x x) (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)) -2)
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000)))
(.f64 x (neg.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000)))
(.f64 (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000) (neg.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (.f64 x 6450306886639899/50000000000000000)))) 4))) 16)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(pow.f64 (.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000)))) 1)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 6450306886639899/50000000000000000 x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 6450306886639899/50000000000000000)) -238732414637843/250000000000000)))
(neg.f64 (.f64 x (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000)))
(.f64 x (neg.f64 (+.f64 (.f64 6450306886639899/50000000000000000 (*.f64 x x)) -238732414637843/250000000000000)))
(.f64 (+.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 x)) -238732414637843/250000000000000) (neg.f64 x))

localize79.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))
	0.1b	(*.f64 238732414637843/250000000000000 x)
✓	0.1b	(.f64 x (.f64 6450306886639899/50000000000000000 (fabs.f64 x)))
✓	0.2b	(/.f64 (.f64 x (.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))

Compiler

Compiled 50 to 29 computations (42% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (.f64 6450306886639899/50000000000000000 (fabs.f64 x)))
1.0ms	x	@	inf	(/.f64 (.f64 x (.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))
1.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))
1.0ms	x	@	0	(/.f64 (.f64 x (.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))
0.0ms	x	@	-inf	(.f64 x (.f64 6450306886639899/50000000000000000 (fabs.f64 x)))

rewrite98.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`rational.json-simplify-51`
888×	`rational.json-simplify-35`
846×	`rational.json-simplify-19`
744×	`rational.json-simplify-53`
580×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	94	55
2	298	47
3	1226	47
4	5469	47

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs

(/.f64 (*.f64 x (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x)))

(*.f64 x (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)))

(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 x) (*.f64 x 6450306886639899/25000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fabs.f64 x)) 50000000000000000/6450306886639899)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 x) 6450306886639899/25000000000000000) (*.f64 2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (fabs.f64 x) 6450306886639899/12500000000000000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (*.f64 2 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 6450306886639899/50000000000000000) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 2 (neg.f64 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 2 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 x) (+.f64 x x)) 100000000000000000/6450306886639899)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x (*.f64 (fabs.f64 x) 6450306886639899/12500000000000000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 x) 6450306886639899/25000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 x) 6450306886639899/12500000000000000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (fabs.f64 x) 6450306886639899/12500000000000000)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 1)))))

simplify201.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-49`
1118×	`rational.json-simplify-61`
952×	`rational.json-simplify-2`
938×	`rational.json-simplify-35`
838×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	2562
1	664	2562
2	1668	2562
3	5100	2562
4	7658	2562

Stop Event

1×	node limit

Counts

140 → 123

Calls

Call 1

Inputs
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(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
(.f64 6450306886639899/50000000000000000 (.f64 (pow.f64 (fabs.f64 x) 2) x))
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(.f64 6450306886639899/50000000000000000 (.f64 (fabs.f64 x) x))
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(.f64 6450306886639899/50000000000000000 (.f64 (fabs.f64 x) x))
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(.f64 6450306886639899/50000000000000000 (.f64 (fabs.f64 x) x))
(.f64 6450306886639899/50000000000000000 (.f64 (fabs.f64 x) x))
(.f64 6450306886639899/50000000000000000 (.f64 (fabs.f64 x) x))
(.f64 6450306886639899/50000000000000000 (.f64 (fabs.f64 x) x))
(.f64 6450306886639899/50000000000000000 (.f64 (fabs.f64 x) x))
(.f64 6450306886639899/50000000000000000 (.f64 (fabs.f64 x) x))
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(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (/.f64 x (/.f64 1 x)) (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (/.f64 x (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x)) 1))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (/.f64 x (/.f64 1 x)) (/.f64 (fabs.f64 x) 50000000000000000/6450306886639899)))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) 6450306886639899/50000000000000000)
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(*.f64 (/.f64 x (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x)) (/.f64 x (fabs.f64 x)))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 x (.f64 (fabs.f64 x) (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))) x)
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 1 (.f64 (fabs.f64 x) (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))) (*.f64 x x))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))) (*.f64 (fabs.f64 x) 2))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 1 (/.f64 100000000000000000/6450306886639899 (.f64 x (fabs.f64 x)))) (*.f64 (fabs.f64 x) 2))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 2 (/.f64 100000000000000000/6450306886639899 (.f64 x (fabs.f64 x)))) (fabs.f64 x))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 x (fabs.f64 (.f64 2 (/.f64 1 x)))) (*.f64 (fabs.f64 x) 6450306886639899/25000000000000000))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 (.f64 6450306886639899/50000000000000000 (fabs.f64 x)) (fabs.f64 (*.f64 2 (/.f64 1 x)))) (+.f64 x x))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (/.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) (*.f64 x 6450306886639899/25000000000000000)))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (.f64 2 (/.f64 x 2)) (.f64 x (.f64 x 6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (+.f64 (/.f64 1 (/.f64 2 x)) (/.f64 1 (/.f64 2 x))) (.f64 x (*.f64 x 6450306886639899/50000000000000000)))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (+.f64 (/.f64 (.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 2) (/.f64 (.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 2)) (.f64 x (fabs.f64 x)))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (+.f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))) (/.f64 1 (*.f64 2 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x)))) (fabs.f64 x))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (+.f64 (/.f64 1 (/.f64 100000000000000000/6450306886639899 (.f64 x (fabs.f64 x)))) (/.f64 1 (/.f64 100000000000000000/6450306886639899 (*.f64 x (fabs.f64 x))))) (fabs.f64 x))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(*.f64 (+.f64 (/.f64 (fabs.f64 x) 2) (/.f64 (fabs.f64 x) 2)) (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (+.f64 (/.f64 x (fabs.f64 (.f64 2 (/.f64 1 x)))) (/.f64 x (fabs.f64 (.f64 2 (/.f64 1 x))))) (.f64 6450306886639899/50000000000000000 (fabs.f64 x)))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(.f64 (+.f64 (/.f64 (.f64 6450306886639899/50000000000000000 (fabs.f64 x)) (fabs.f64 (.f64 2 (/.f64 1 x)))) (/.f64 (.f64 6450306886639899/50000000000000000 (fabs.f64 x)) (fabs.f64 (*.f64 2 (/.f64 1 x))))) x)
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(pow.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000))) 1)
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(neg.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x 6450306886639899/50000000000000000)))))
(.f64 x (.f64 x (*.f64 6450306886639899/50000000000000000 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (*.f64 x x)))
(+.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) 0)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(+.f64 0 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))))))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(-.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) 0)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(-.f64 0 (neg.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)))))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) (/.f64 1 x))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) 1)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 1 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (.f64 (fabs.f64 x) (.f64 x 6450306886639899/25000000000000000)) 2)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (*.f64 x (fabs.f64 x)) 50000000000000000/6450306886639899)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (.f64 (fabs.f64 x) 6450306886639899/25000000000000000) (.f64 2 (/.f64 1 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (.f64 x (.f64 (fabs.f64 x) 6450306886639899/12500000000000000)) 4)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (+.f64 x x) (*.f64 2 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 4 (*.f64 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x) 4))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (*.f64 x 6450306886639899/50000000000000000) (/.f64 1 (fabs.f64 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (neg.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)))) -1)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 -2 (*.f64 2 (neg.f64 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 -2 (neg.f64 (*.f64 2 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x))))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (*.f64 (fabs.f64 x) (+.f64 x x)) 100000000000000000/6450306886639899)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (*.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) -2) -2)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (.f64 2 (.f64 x (*.f64 (fabs.f64 x) 6450306886639899/12500000000000000))) 8)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (neg.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (neg.f64 (/.f64 1 x)))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(/.f64 (/.f64 2 (/.f64 (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)) x)) 2)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(pow.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x))) 1)
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(neg.f64 (neg.f64 (/.f64 x (/.f64 50000000000000000/6450306886639899 (fabs.f64 x)))))
(.f64 6450306886639899/50000000000000000 (.f64 x (fabs.f64 x)))
(+.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 0)
(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))
(+.f64 0 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)))
(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))
(-.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 0)
(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))
(/.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 1)
(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))
(/.f64 (*.f64 (fabs.f64 x) 6450306886639899/25000000000000000) 2)
(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))
(/.f64 (*.f64 (fabs.f64 x) 6450306886639899/12500000000000000) 4)
(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))
(/.f64 (.f64 2 (.f64 (fabs.f64 x) 6450306886639899/12500000000000000)) 8)
(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))
(pow.f64 (*.f64 6450306886639899/50000000000000000 (fabs.f64 x)) 1)
(*.f64 6450306886639899/50000000000000000 (fabs.f64 x))

eval106.0ms (2.2%)

Compiler: Compiled 3574 to 2311 computations (35.3% saved)

prune34.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	241	6	247

Error

0.1b

Counts

247 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (/.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899)))
✓	0.2b	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
✓	0.2b	(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
✓	16.6b	(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 64 to 44 computations (31.3% saved)

regimes13.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x x) (.f64 x 6450306886639899/50000000000000000)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899)))
(-.f64 (.f64 238732414637843/250000000000000 x) (/.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (/.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))

Calls

2 calls:

6.0ms	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
5.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 84 to 52 computations (38.1% saved)

regimes12.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (.f64 x x) (.f64 x 6450306886639899/50000000000000000)))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 (*.f64 x x) (/.f64 x 50000000000000000/6450306886639899)))

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Calls

2 calls:

5.0ms	x
5.0ms	(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))`

Compiler

Compiled 69 to 42 computations (39.1% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(*.f64 x 238732414637843/250000000000000)

(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 6450306886639899/50000000000000000 (*.f64 x x))))

(*.f64 x (-.f64 238732414637843/250000000000000 (*.f64 x (*.f64 x 6450306886639899/50000000000000000))))

Outputs
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -16.4b remaining (-7557%)

Threshold costs -16.4b (-7557%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 x 238732414637843/250000000000000)
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))

Outputs
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	133

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 238732414637843/250000000000000 x) (/.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(*.f64 x 238732414637843/250000000000000)

Outputs
(-.f64 (.f64 238732414637843/250000000000000 x) (/.f64 (.f64 x (*.f64 6450306886639899/50000000000000000 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))
(-.f64 (.f64 238732414637843/250000000000000 x) (.f64 6450306886639899/50000000000000000 (.f64 (.f64 x x) x)))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 x (*.f64 x 6450306886639899/50000000000000000))))
(.f64 x (-.f64 238732414637843/250000000000000 (.f64 6450306886639899/50000000000000000 (*.f64 x x))))
(*.f64 x 238732414637843/250000000000000)

Compiler

Compiled 52 to 36 computations (30.8% saved)

soundness221.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1812×	`rational.json-simplify-35`
1356×	`rational.json-simplify-53`
1042×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`
628×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	17	31
2	27	31
3	52	25
4	219	25
5	2039	25
6	6016	25
7	7922	25

Stop Event

1×	node limit

Compiler

Compiled 23 to 14 computations (39.1% saved)

end73.0ms (1.5%)

Compiler: Compiled 48 to 31 computations (35.4% saved)

Details

analyze5.0ms (0.1%)

sample1.0s (21.3%)

preprocess148.0ms (3.1%)

simplify145.0ms (3.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite77.0ms (1.6%)

simplify258.0ms (5.4%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite108.0ms (2.3%)

simplify144.0ms (3%)

localize10.0ms (0.2%)

series35.0ms (0.7%)

rewrite83.0ms (1.8%)

simplify91.0ms (1.9%)

localize12.0ms (0.2%)

series0.0ms (0%)

rewrite76.0ms (1.6%)

simplify67.0ms (1.4%)

eval113.0ms (2.4%)

prune72.0ms (1.5%)

localize3.0ms (0.1%)

series0.0ms (0%)

rewrite264.0ms (5.6%)

simplify948.0ms (20%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite82.0ms (1.7%)

simplify86.0ms (1.8%)

localize79.0ms (1.7%)

series5.0ms (0.1%)

rewrite98.0ms (2.1%)

simplify201.0ms (4.2%)

eval106.0ms (2.2%)

prune34.0ms (0.7%)

regimes13.0ms (0.3%)

regimes12.0ms (0.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness221.0ms (4.7%)

end73.0ms (1.5%)

Profiling