Details

sample231.0ms

Algorithm

intervals

Results

97.0ms	102×	body	1280	valid
67.0ms	78×	body	640	valid
27.0ms	295×	body	80	nan
18.0ms	46×	body	320	valid
6.0ms	24×	body	160	valid
1.0ms	6×	body	80	valid

simplify156.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	191
9	191
8	189
7	182
6	155
5	128
4	85
3	57
2	25
1	19
0	9

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.8b	(log (/ (+ x 1) (- 1 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 93

Calls

2 calls:

17.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (+ x 1) (- 1 x))
72.0ms	(log (/ (+ x 1) (- 1 x)))

simplify883.0ms

Counts

99 → 99

Iterations

Iter	Nodes
3	2218
2	864
1	354
0	162

prune861.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* (* x 2/3) x) 2))
0.1b	(* 2/5 (pow x 5))
0.1b	(* (* x 2/3) x)
0.3b	(* x 2/3)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

97.0ms	(* x (+ (* (* x 2/3) x) 2))
17.0ms	(* 2/5 (pow x 5))
29.0ms	(* (* x 2/3) x)
8.0ms	(* x 2/3)

series273.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* x (+ (* (* x 2/3) x) 2))
101.0ms	(* 2/5 (pow x 5))
35.0ms	(* (* x 2/3) x)
18.0ms	(* x 2/3)

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
3	3607
2	966
1	331
0	134

prune958.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2/5 (pow x 5))
0.1b	(* (* (* x 2/3) x) x)
0.1b	(* (* x 2/3) x)
0.3b	(* x 2/3)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-r`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-l`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

13.0ms	(* 2/5 (pow x 5))
60.0ms	(* (* (* x 2/3) x) x)
28.0ms	(* (* x 2/3) x)
12.0ms	(* x 2/3)

series202.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* 2/5 (pow x 5))
69.0ms	(* (* (* x 2/3) x) x)
38.0ms	(* (* x 2/3) x)
18.0ms	(* x 2/3)

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
3	2941
2	788
1	283
0	117

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	23
1	23
0	15

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.9s	3410×	body	1280	valid
1.7s	2496×	body	640	valid
928.0ms	7931×	body	80	nan
662.0ms	626×	body	160	valid
562.0ms	1280×	body	320	valid
22.0ms	188×	body	80	valid