Details

sample134.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify86.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	31
6	31
5	29
4	24
3	20
2	16
1	13
0	6

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
58×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out` `associate-/l*`
6×	`neg-mul-1`
5×	`associate-/r*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `distribute-neg-frac` `associate-/l/`
1×	`neg-sub0` `expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `distribute-frac-neg` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 98

Calls

1 calls:

61.0ms

(/ (- (+ f n)) (- f n))

series140.0ms

Counts

1 → 3

Calls

1 calls:

139.0ms

(/ (- (+ f n)) (- f n))

simplify4.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
3	2276
2	707
1	317
0	136

prune871.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (/ (- f n) (+ f n)))
0.0b	(/ (- f n) (+ f n))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 174

Calls

2 calls:

43.0ms	(/ -1 (/ (- f n) (+ f n)))
45.0ms	(/ (- f n) (+ f n))

series206.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(/ -1 (/ (- f n) (+ f n)))
107.0ms	(/ (- f n) (+ f n))

simplify3.5s

Counts

180 → 180

Iterations

Iter	Nodes
done	5008
2	1853
1	605
0	225

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (- (+ f n)) (- f n))))
0.0b	(exp (/ (- (+ f n)) (- f n)))
0.0b	(/ (- (+ f n)) (- f n))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

229×	`*-un-lft-identity`
180×	`times-frac`
165×	`add-sqr-sqrt`
132×	`exp-prod`
91×	`add-cube-cbrt`
67×	`log-pow`
64×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
37×	`distribute-lft-out--` `difference-of-squares`
32×	`distribute-lft-out`
16×	`neg-mul-1`
12×	`associate-/l*`
6×	`associate-/r/`
5×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `distribute-frac-neg` `add-log-exp`
3×	`neg-sub0` `exp-neg` `expm1-log1p-u` `log-prod` `flip3--` `div-sub` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--`
2×	`log-div` `exp-diff` `distribute-neg-frac` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `log-rec` `flip-+` `rem-exp-log`

Counts

3 → 261

Calls

3 calls:

124.0ms	(log (exp (/ (- (+ f n)) (- f n))))
127.0ms	(exp (/ (- (+ f n)) (- f n)))
55.0ms	(/ (- (+ f n)) (- f n))

series373.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(log (exp (/ (- (+ f n)) (- f n))))
150.0ms	(exp (/ (- (+ f n)) (- f n)))
120.0ms	(/ (- (+ f n)) (- f n))

simplify4.2s

Counts

270 → 270

Iterations

Iter	Nodes
done	5000
3	2666
2	942
1	448
0	250

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- (+ f n)) (- f n)))
0.0b	(/ (- (+ f n)) (- f n))
0.5b	(log1p (exp (/ (- (+ f n)) (- f n))))
0.5b	(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

157×	`*-un-lft-identity`
120×	`times-frac`
113×	`add-sqr-sqrt`
66×	`exp-prod`
63×	`add-cube-cbrt`
44×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
25×	`distribute-lft-out--` `difference-of-squares`
22×	`distribute-lft-out`
12×	`associate-/l*`
11×	`neg-mul-1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`expm1-log1p-u` `associate-/r*` `add-log-exp`
4×	`pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u`
2×	`neg-sub0` `flip3--` `div-sub` `distribute-frac-neg` `div-inv` `flip--` `distribute-neg-frac` `associate-/l/`
1×	`exp-neg` `cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `log1p-expm1` `flip-+` `expm1-udef` `rem-exp-log`

Counts

4 → 201

Calls

4 calls:

126.0ms	(exp (/ (- (+ f n)) (- f n)))
55.0ms	(/ (- (+ f n)) (- f n))
1.0ms	(log1p (exp (/ (- (+ f n)) (- f n))))
1.0ms	(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

174.0ms	(exp (/ (- (+ f n)) (- f n)))
125.0ms	(/ (- (+ f n)) (- f n))
849.0ms	(log1p (exp (/ (- (+ f n)) (- f n))))
308.0ms	(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))

simplify4.3s

Counts

213 → 213

Iterations

Iter	Nodes
done	5000
3	2654
2	914
1	419
0	217

prune2.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes584.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample637.0ms

Algorithm

intervals

Results

380.0ms

8000×

body

valid