Details

sample253.0ms

Algorithm

intervals

Results

107.0ms	103×	body	1280	valid
54.0ms	83×	body	640	valid
43.0ms	39×	body	320	valid
26.0ms	250×	body	80	nan
6.0ms	20×	body	160	valid
1.0ms	11×	body	80	valid

simplify172.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
6.3b	(log (/ (+ x 1) (- 1 x)))

rewrite34.0ms

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:

26.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (+ x 1) (- 1 x))
89.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.0s

Counts

99 → 99

Iterations

Iter	Nodes
3	2218
2	864
1	354
0	162

prune785.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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)

rewrite113.0ms

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:

57.0ms	(* x (+ (* (* x 2/3) x) 2))
17.0ms	(* 2/5 (pow x 5))
32.0ms	(* (* x 2/3) x)
5.0ms	(* x 2/3)

series259.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* x (+ (* (* x 2/3) x) 2))
74.0ms	(* 2/5 (pow x 5))
41.0ms	(* (* x 2/3) x)
20.0ms	(* x 2/3)

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
3	3607
2	966
1	331
0	134

prune961.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

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:

64.0ms	(* (* (* x 2/3) x) x)
8.0ms	(* 2/5 (pow x 5))
27.0ms	(* (* x 2/3) x)
10.0ms	(* x 2/3)

series174.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* (* x 2/3) x) x)
56.0ms	(* 2/5 (pow x 5))
31.0ms	(* (* x 2/3) x)
25.0ms	(* x 2/3)

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
3	2790
2	782
1	279
0	117

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (+ x 1)) (log (/ 1 (- 1 x))))
0.0b	(/ 1 (- 1 x))
6.4b	(log (/ 1 (- 1 x)))
6.4b	(log (+ x 1))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
56×	`log-prod`
54×	`times-frac`
37×	`add-cube-cbrt`
24×	`associate-+r+`
20×	`difference-of-squares`
14×	`add-exp-log`
12×	`pow1`
10×	`distribute-lft-out--`
8×	`log-pow`
6×	`log-div` `associate-/r*` `add-cbrt-cube` `associate-/r/` `distribute-lft-out`
5×	`rem-log-exp`
4×	`associate-+l+` `div-exp` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip3--` `log-rec` `flip-+` `div-inv` `flip--` `associate-/l*`
2×	`rec-exp` `1-exp` `associate-+l-` `pow-flip` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `unsub-neg`

Counts

4 → 152

Calls

4 calls:

23.0ms	(+ (log (+ x 1)) (log (/ 1 (- 1 x))))
18.0ms	(/ 1 (- 1 x))
9.0ms	(log (/ 1 (- 1 x)))
7.0ms	(log (+ x 1))

series260.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (log (+ x 1)) (log (/ 1 (- 1 x))))
25.0ms	(/ 1 (- 1 x))
50.0ms	(log (/ 1 (- 1 x)))
24.0ms	(log (+ x 1))

simplify2.6s

Counts

164 → 164

Iterations

Iter	Nodes
3	2807
2	995
1	492
0	235

prune960.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	23
1	23
0	15

end0.0ms

sample8.3s

Algorithm

intervals

Results

4.2s	3458×	body	1280	valid
2.1s	2426×	body	640	valid
966.0ms	7967×	body	80	nan
506.0ms	1256×	body	320	valid
163.0ms	628×	body	160	valid
28.0ms	232×	body	80	valid