Details

analyze3.0ms (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
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0.1%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample4.0s (67.6%)

Results

3.9s	8253×	body	256	valid
1.0ms	3×	body	1024	valid

Bogosity

preprocess10.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	15	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(+.f64 (*.f64 841/108 x) 4/29)

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify511.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	15	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(+.f64 (*.f64 841/108 x) 4/29)

eval1.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 841/108 x) 4/29)
✓	0.1b	(*.f64 841/108 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 841/108 x)
0.0ms	x	@	inf	(*.f64 841/108 x)
0.0ms	x	@	inf	(+.f64 (*.f64 841/108 x) 4/29)
0.0ms	x	@	0	(*.f64 841/108 x)
0.0ms	x	@	-inf	(+.f64 (*.f64 841/108 x) 4/29)

rewrite261.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2604×	`rational.json-simplify-35`
2044×	`rational.json-simplify-2`
1208×	`rational.json-simplify-1`
1194×	`exponential.json-3`
1194×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	46	20
2	96	20
3	190	20
4	351	20
5	766	20
6	1900	20
7	3207	20
8	3881	20
9	4721	20
10	5619	20
11	6146	20
12	6146	20
13	6995	20
14	6995	20
15	7540	20

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 841/108 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 841/216) (.f64 x 841/216))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 841/108 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 841/54) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 841/27) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 1682/27) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x 1682/27)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 x 1682/27))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 841/108 x) 4/29) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x 841/54) 8/29) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 (.f64 841/108 x) 4/29) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 x 841/54) 8/29)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 x 841/54) 8/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 841/108 x) 4/29) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (+.f64 (.f64 x 841/54) 8/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 841/108 x) 4/29) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x 841/54) 8/29) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 x 841/54) 8/29)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 841/108 x) 4/29) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/216) (*.f64 x 841/216))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 841/108 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 841/54) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 841/27) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1682/27) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 1682/27)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x 1682/27))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 1682/27)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 1682/27))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 1682/27)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 1682/27))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 1682/27)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 841/108 x) 4/29) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 841/54) 8/29) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 x 841/54) 8/29)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x 841/54) 8/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 (*.f64 x 841/54) 8/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 841/54) 8/29) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 x 841/54) 8/29)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)))))

simplify289.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

4330×	`rational.json-simplify-51`
2070×	`rational.json-simplify-35`
1496×	`rational.json-simplify-2`
830×	`rational.json-simplify-1`
544×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	569
1	221	569
2	525	569
3	1711	569
4	3614	569
5	4534	569
6	4658	569
7	4762	569
8	4866	569
9	4945	569
10	5024	569
11	5143	569
12	5222	569
13	5301	569
14	5380	569
15	5459	569
16	5459	569

Stop Event

1×	node limit

Counts

53 → 44

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 0)
(+.f64 0 (*.f64 841/108 x))
(+.f64 (.f64 x 841/216) (.f64 x 841/216))
(-.f64 (*.f64 841/108 x) 0)
(/.f64 (*.f64 841/108 x) 1)
(/.f64 (*.f64 x 841/54) 2)
(/.f64 (*.f64 x 841/27) 4)
(/.f64 (*.f64 x 1682/27) 8)
(/.f64 (.f64 2 (.f64 x 1682/27)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 1682/27))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 1682/27))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 1682/27))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27)))))))) 1024)
(pow.f64 (*.f64 841/108 x) 1)
(-.f64 (+.f64 (*.f64 841/108 x) 4/29) 0)
(.f64 (+.f64 (.f64 841/108 x) 4/29) 1)
(.f64 1 (+.f64 (.f64 841/108 x) 4/29))
(.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/2))
(.f64 (+.f64 (.f64 x 841/54) 8/29) 1/2)
(.f64 4 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/4))
(.f64 (.f64 2 (+.f64 (*.f64 x 841/54) 8/29)) 1/4)
(.f64 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8) 1/8)
(.f64 1/2 (+.f64 (.f64 x 841/54) 8/29))
(.f64 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/2) 2)
(.f64 1/4 (.f64 2 (+.f64 (*.f64 x 841/54) 8/29)))
(.f64 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8))
(/.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)
(/.f64 (+.f64 (*.f64 x 841/54) 8/29) 2)
(/.f64 (.f64 2 (+.f64 (.f64 x 841/54) 8/29)) 4)
(/.f64 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)))))))) 1024)
(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(+.f64 0 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 (.f64 x 841/216) (.f64 x 841/216))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(/.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(/.f64 (*.f64 x 841/54) 2)
(*.f64 841/108 x)
(/.f64 (*.f64 x 841/27) 4)
(*.f64 841/108 x)
(/.f64 (*.f64 x 1682/27) 8)
(*.f64 841/108 x)
(/.f64 (.f64 2 (.f64 x 1682/27)) 16)
(*.f64 841/108 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 x 1682/27))) 32)
(*.f64 841/108 x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27)))) 64)
(*.f64 841/108 x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 1682/27))))) 128)
(*.f64 841/108 x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27)))))) 256)
(*.f64 841/108 x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 x 1682/27))))))) 512)
(*.f64 841/108 x)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x 1682/27)))))))) 1024)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(-.f64 (+.f64 (*.f64 841/108 x) 4/29) 0)
(+.f64 4/29 (*.f64 841/108 x))
(.f64 (+.f64 (.f64 841/108 x) 4/29) 1)
(+.f64 4/29 (*.f64 841/108 x))
(.f64 1 (+.f64 (.f64 841/108 x) 4/29))
(+.f64 4/29 (*.f64 841/108 x))
(.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/2))
(+.f64 4/29 (*.f64 841/108 x))
(.f64 (+.f64 (.f64 x 841/54) 8/29) 1/2)
(+.f64 4/29 (*.f64 841/108 x))
(.f64 4 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/4))
(+.f64 4/29 (*.f64 841/108 x))
(.f64 (.f64 2 (+.f64 (*.f64 x 841/54) 8/29)) 1/4)
(+.f64 4/29 (*.f64 841/108 x))
(.f64 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8) 1/8)
(+.f64 4/29 (*.f64 841/108 x))
(.f64 1/2 (+.f64 (.f64 x 841/54) 8/29))
(+.f64 4/29 (*.f64 841/108 x))
(.f64 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/2) 2)
(+.f64 4/29 (*.f64 841/108 x))
(.f64 1/4 (.f64 2 (+.f64 (*.f64 x 841/54) 8/29)))
(+.f64 4/29 (*.f64 841/108 x))
(.f64 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 1/4) 4)
(+.f64 4/29 (*.f64 841/108 x))
(.f64 1/8 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8))
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (+.f64 (*.f64 x 841/54) 8/29) 2)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (.f64 2 (+.f64 (.f64 x 841/54) 8/29)) 4)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8) 8)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)) 16)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))) 32)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)))) 64)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))))) 128)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)))))) 256)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 841/108 x) 4/29) 8))))))) 512)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 841/108 x) 4/29) 8)))))))) 1024)
(+.f64 4/29 (*.f64 841/108 x))
(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 1)
(+.f64 4/29 (*.f64 841/108 x))

eval10.0ms (0.2%)

Compiler: Compiled 445 to 401 computations (9.9% saved)

prune111.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Error

0.1b

Counts

45 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	31.4b	(*.f64 841/108 x)
	31.9b	4/29

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval3.0ms (0.1%)

Compiler: Compiled 139 to 122 computations (12.2% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Error

0.1b

Counts

19 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	31.4b	(*.f64 841/108 x)
	31.9b	4/29

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.1b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	31.4b	(*.f64 841/108 x)
	31.9b	4/29

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.1b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	31.4b	(*.f64 841/108 x)
	31.9b	4/29

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes13.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Outputs
(+.f64 (*.f64 841/108 x) 4/29)

Calls

3 calls:

5.0ms	(*.f64 (/.f64 841 108) x)
4.0ms	x
3.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.1b	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 37 to 31 computations (16.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -60.3b remaining (-4019.5%)

Threshold costs -60.3b (-4019.5%)

Counts

2 → 3

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)

Outputs
(*.f64 841/108 x)
4/29
(*.f64 841/108 x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch667.0ms (11.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.0689930560069171e-7	27.434380967864094
650.0ms	-62.41347299000895	-0.001144453717381607

Results

661.0ms

272×

body

256

valid

Compiler

Compiled 150 to 131 computations (12.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 1224979098644775/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Outputs
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 1224979098644775/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 24 to 19 computations (20.8% saved)

soundness9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	15	13

Stop Event

1×

saturated

Compiler

Compiled 22 to 19 computations (13.6% saved)

end23.0ms (0.4%)

Compiler: Compiled 22 to 17 computations (22.7% saved)

Details

analyze3.0ms (0.1%)

sample4.0s (67.6%)

preprocess10.0ms (0.2%)

simplify511.0ms (8.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite261.0ms (4.4%)

simplify289.0ms (4.8%)

eval10.0ms (0.2%)

prune111.0ms (1.9%)

localize2.0ms (0%)

eval3.0ms (0.1%)

prune3.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch667.0ms (11.2%)

simplify2.0ms (0%)

soundness9.0ms (0.2%)

end23.0ms (0.4%)

Profiling