Details

sample157.0ms

Algorithm

intervals

Results

72.0ms	98×	body	1280	valid
39.0ms	92×	body	640	valid
12.0ms	229×	body	80	nan
9.0ms	33×	body	320	valid
4.0ms	27×	body	160	valid
0.0ms	6×	body	80	valid

simplify133.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	61	12
5	88	12
6	102	12
7	106	12
done	106	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.4b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
19.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (+ 1.0 x) (- 1.0 x))
168.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.0s

Counts

88 → 88

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	142	1276
1	319	1221
2	803	1150
3	1966	1108
done	5000	1104

prune280.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune11.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (log (- 1.0 x))) (log (+ 1.0 x)))
7.4b	(log (- 1.0 x))
7.4b	(log (+ 1.0 x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`log-prod`
11×	`add-sqr-sqrt`
10×	`pow1`
8×	`distribute-lft-out`
7×	`add-cube-cbrt` `log-pow`
6×	`log-div`
5×	`add-exp-log` `associate-+l+` `distribute-neg-in`
4×	`associate-+r+` `distribute-rgt-neg-in` `add-log-exp`
3×	`flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+r-` `rem-log-exp` `sum-log` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+l-` `flip3--` `neg-log` `flip--`

Counts

3 → 61

Calls

3 calls:

42.0ms	(+ (- (log (- 1.0 x))) (log (+ 1.0 x)))
5.0ms	(log (- 1.0 x))
5.0ms	(log (+ 1.0 x))

series608.0ms

Counts

3 → 9

Calls

3 calls:

443.0ms	(+ (- (log (- 1.0 x))) (log (+ 1.0 x)))
77.0ms	(log (- 1.0 x))
88.0ms	(log (+ 1.0 x))

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	144	824
1	332	788
2	799	692
3	1983	686
done	5000	671

prune221.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.1b	(* 2/3 (pow (/ x 1.0) 3))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

85×	`associate-r`
84×	`add-sqr-sqrt`
78×	`times-frac`
63×	`unpow-prod-down`
48×	`add-cube-cbrt` `*-un-lft-identity`
33×	`add-exp-log`
22×	`sqr-pow`
16×	`unswap-sqr`
15×	`cube-prod`
14×	`prod-exp`
10×	`div-exp`
9×	`add-cbrt-cube`
8×	`pow-exp`
7×	`pow-to-exp`
6×	`associate-l`
4×	`pow1`
3×	`cbrt-unprod` `div-inv`
2×	`associate-r/` `-commutative` `add-log-exp`
1×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `pow-prod-down`

Counts

2 → 143

Calls

2 calls:

75.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
56.0ms	(* 2/3 (pow (/ x 1.0) 3))

series268.0ms

Counts

2 → 6

Calls

2 calls:

148.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
121.0ms	(* 2/3 (pow (/ x 1.0) 3))

simplify1.3s

Counts

149 → 149

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	271	1825
1	643	1578
2	2095	1508
done	5001	1470

prune637.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	25
1	25	25
done	25	25

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.1s	3406×	body	1280	valid
1.1s	2448×	body	640	valid
605.0ms	7970×	body	80	nan
347.0ms	1249×	body	320	valid
110.0ms	677×	body	160	valid
15.0ms	220×	body	80	valid