Details

sample96.0ms

Algorithm

intervals

Results

48.0ms	106×	body	1280	valid
21.0ms	88×	body	640	valid
8.0ms	272×	body	80	nan
5.0ms	33×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	6×	body	80	valid

simplify68.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	24	12
3	39	12
4	60	12
5	86	12
6	106	12
7	117	12
8	119	12
done	119	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite23.0ms

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×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ 1.0 x) (- 1.0 x))
122.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: 3 (643.0ms)

Iter	Nodes	Cost
0	146	1310
1	332	1243
2	920	1182
3	3840	1136
done	5000	1136

prune204.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune5.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ 1.0 x))
0.0b	(cbrt (+ 1.0 x))
6.6b	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
6.6b	(log (cbrt (+ 1.0 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
48×	`log-prod`
40×	`add-sqr-sqrt`
35×	`times-frac`
32×	`cbrt-prod`
26×	`add-cube-cbrt`
8×	`add-exp-log` `distribute-lft-out`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `pow1/3` `rem-log-exp` `log-pow` `flip-+`
2×	`associate-/r/`
1×	`flip3--` `div-exp` `flip--` `div-inv`

Counts

4 → 107

Calls

4 calls:

2.0ms	(cbrt (+ 1.0 x))
2.0ms	(cbrt (+ 1.0 x))
7.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (+ 1.0 x))
89.0ms	(cbrt (+ 1.0 x))
180.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
116.0ms	(log (cbrt (+ 1.0 x)))

simplify488.0ms

Counts

119 → 119

Iterations

Useful iterations: done (484.0ms)

Iter	Nodes	Cost
0	263	1825
1	563	1709
2	1527	1616
done	5000	1557

prune321.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

6.6b	(log (/ (cbrt (cbrt (+ 1.0 x))) (- 1.0 x)))
6.6b	(log (cbrt (+ 1.0 x)))
6.6b	(log (cbrt (+ 1.0 x)))
6.7b	(log (cbrt (exp (* 2 (log (cbrt (+ 1.0 x)))))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

104×	`log-prod`
88×	`cbrt-prod`
78×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
50×	`times-frac`
40×	`add-cube-cbrt`
14×	`exp-sum`
10×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
9×	`distribute-lft-out`
8×	`pow1`
7×	`distribute-rgt-in` `distribute-lft-in` `log-pow`
5×	`log-div` `rem-log-exp`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`flip3--` `div-exp` `flip--` `div-inv`

Counts

4 → 143

Calls

4 calls:

12.0ms	(log (/ (cbrt (cbrt (+ 1.0 x))) (- 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))
8.0ms	(log (cbrt (exp (* 2 (log (cbrt (+ 1.0 x)))))))

series559.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(log (/ (cbrt (cbrt (+ 1.0 x))) (- 1.0 x)))
117.0ms	(log (cbrt (+ 1.0 x)))
122.0ms	(log (cbrt (+ 1.0 x)))
135.0ms	(log (cbrt (exp (* 2 (log (cbrt (+ 1.0 x)))))))

simplify580.0ms

Counts

155 → 155

Iterations

Useful iterations: done (574.0ms)

Iter	Nodes	Cost
0	373	2733
1	709	2427
2	1676	2276
done	5000	2223

prune535.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes25.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	17	22
done	17	22

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3355×	body	1280	valid
621.0ms	2529×	body	640	valid
225.0ms	8067×	body	80	nan
182.0ms	1246×	body	320	valid
62.0ms	662×	body	160	valid
9.0ms	208×	body	80	valid