Details

sample106.0ms

Algorithm

intervals

Results

50.0ms	59×	body	1280	valid
28.0ms	67×	body	640	valid
5.0ms	24×	body	320	valid
4.0ms	92×	body	80	valid
3.0ms	82×	body	80	nan
2.0ms	14×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.7b

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1.0 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

5.0ms

(log (+ 1.0 x))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(log (+ 1.0 x))

simplify633.0ms

Counts: 18 → 18

prune78.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ (pow x 2) (pow 1.0 2)) 2)
0.0b	(- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

460×	`times-frac`
203×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
192×	`unpow-prod-down`
68×	`associate-/l*`
64×	`unpow2` `sqr-pow`
25×	`add-exp-log`
19×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-/r*`
2×	`pow1`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `associate-/l/`

Counts

2 → 310

Calls

2 calls:

53.0ms	(/ (/ (pow x 2) (pow 1.0 2)) 2)
298.0ms	(- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))

series245.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ (/ (pow x 2) (pow 1.0 2)) 2)
167.0ms	(- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))

simplify729.0ms

Counts: 316 → 316

prune934.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

4.5b	(log (sqrt (+ 1.0 x)))
4.5b	(log (sqrt (+ 1.0 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
10×	`*-un-lft-identity`
8×	`sqrt-prod`
6×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-pow`
4×	`add-exp-log` `log-div` `sqrt-div`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

2 → 40

Calls

2 calls:

11.0ms	(log (sqrt (+ 1.0 x)))
11.0ms	(log (sqrt (+ 1.0 x)))

series275.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(log (sqrt (+ 1.0 x)))
150.0ms	(log (sqrt (+ 1.0 x)))

simplify714.0ms

Counts: 46 → 46

prune135.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.3b	(pow (log (+ 1.0 x)) 3)
4.5b	(log (+ 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`pow-unpow` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 63

Calls

3 calls:

3.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
4.0ms	(pow (log (+ 1.0 x)) 3)
5.0ms	(log (+ 1.0 x))

series246.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
132.0ms	(pow (log (+ 1.0 x)) 3)
63.0ms	(log (+ 1.0 x))

simplify860.0ms

Counts: 72 → 72

prune169.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes149.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.1b

bsearch2.0ms

simplify586.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	2234×	body	1280	valid
568.0ms	1726×	body	640	valid
187.0ms	874×	body	320	valid
101.0ms	2741×	body	80	valid
68.0ms	2751×	body	80	nan
43.0ms	425×	body	160	valid