Details

sample200.0ms

Algorithm

intervals

Results

101.0ms	129×	body	1280	valid
32.0ms	66×	body	640	valid
29.0ms	39×	body	320	valid
21.0ms	263×	body	80	nan
3.0ms	16×	body	160	valid
1.0ms	6×	body	80	valid

simplify168.0ms

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: 58.6b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
4.8b	(log (/ (+ x 1) (- 1 x)))

rewrite30.0ms

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:

18.0ms	(/ (+ x 1) (- 1 x))
10.0ms	(log (/ (+ x 1) (- 1 x)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (+ x 1) (- 1 x))
103.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
3	2218
2	864
1	354
0	162

prune702.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)

rewrite96.0ms

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:

65.0ms	(* x (+ (* (* x 2/3) x) 2))
11.0ms	(* 2/5 (pow x 5))
13.0ms	(* (* x 2/3) x)
5.0ms	(* x 2/3)

series275.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* x (+ (* (* x 2/3) x) 2))
83.0ms	(* 2/5 (pow x 5))
37.0ms	(* (* x 2/3) x)
29.0ms	(* x 2/3)

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
3	3607
2	966
1	331
0	134

prune749.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
14×	`associate-r`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`associate-l` `pow-prod-down`
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:

8.0ms	(* 2/5 (pow x 5))
39.0ms	(* x (* (* x 2/3) x))
26.0ms	(* (* x 2/3) x)
5.0ms	(* x 2/3)

series191.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* 2/5 (pow x 5))
44.0ms	(* x (* (* x 2/3) x))
34.0ms	(* (* x 2/3) x)
30.0ms	(* x 2/3)

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
3	2860
2	785
1	276
0	117

prune668.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (+ x 1) (- 1 x))))
4.8b	(log (/ (+ x 1) (- 1 x)))
4.8b	(log (/ (+ x 1) (- 1 x)))
4.8b	(log (/ (+ x 1) (- 1 x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
90×	`log-prod`
74×	`add-sqr-sqrt`
72×	`times-frac`
38×	`add-cube-cbrt`
24×	`difference-of-squares`
18×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `div-inv` `flip--`
1×	`pow1/3`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt (log (/ (+ x 1) (- 1 x))))
11.0ms	(log (/ (+ x 1) (- 1 x)))
10.0ms	(log (/ (+ x 1) (- 1 x)))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt (log (/ (+ x 1) (- 1 x))))
98.0ms	(log (/ (+ x 1) (- 1 x)))
91.0ms	(log (/ (+ x 1) (- 1 x)))
70.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.4s

Counts

151 → 151

Iterations

Iter	Nodes
4	5368
3	1772
2	691
1	345
0	170

prune655.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	23
1	23
0	15

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.8s	3414×	body	1280	valid
1.7s	2522×	body	640	valid
1.2s	7861×	body	80	nan
581.0ms	1218×	body	320	valid
153.0ms	637×	body	160	valid
23.0ms	209×	body	80	valid