Details

sample66.0ms

Algorithm

intervals

Results

24.0ms	53×	body	1280	valid
14.0ms	59×	body	640	valid
7.0ms	161×	body	80	valid
4.0ms	24×	body	320	valid
3.0ms	89×	body	80	nan
1.0ms	15×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	51	9
4	102	9
5	239	9
6	571	9
7	1661	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
5.8b	(pow (/ x (+ x y)) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `pow-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 70

Calls

2 calls:

5.0ms	(/ x (+ x y))
8.0ms	(pow (/ x (+ x y)) x)

series305.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ x (+ x y))
255.0ms	(pow (/ x (+ x y)) x)

simplify1.4s

Counts

76 → 76

Iterations

Useful iterations: 3 (554.0ms)

Iter	Nodes	Cost
0	133	864
1	319	808
2	822	780
3	2417	779
done	5000	779

prune189.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.7b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`unpow-prod-down`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
5×	`pow1` `pow-exp`
4×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series990.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt x)
214.0ms	(cbrt x)
215.0ms	(cbrt x)
340.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: 3 (531.0ms)

Iter	Nodes	Cost
0	154	1147
1	368	1061
2	900	939
3	2679	921
done	5000	921

prune333.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt x)
0.6b	(cbrt x)
1.6b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
48×	`log-prod` `*-un-lft-identity`
42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log` `distribute-lft-out`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `rem-log-exp` `associate-/r/` `flip-+`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 103

Calls

4 calls:

2.0ms	(cbrt (+ x y))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
7.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series702.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (+ x y))
221.0ms	(cbrt x)
217.0ms	(cbrt x)
95.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify2.6s

Counts

115 → 115

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	198	1395
1	369	1322
2	757	1243
3	1809	1199
4	4883	1197
done	5000	1197

prune473.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (- y)) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `expm1-log1p-u` `frac-2neg` `exp-diff` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

7.0ms

(/ (exp (- y)) x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ (exp (- y)) x)

simplify4.3s

Counts

34 → 34

Iterations

Useful iterations: 3 (227.0ms)

Iter	Nodes	Cost
0	66	311
1	120	300
2	295	280
3	921	278
4	3598	278
done	5000	278

prune72.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

98.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.6b

bsearch134.0ms

Steps

Iters	Range		Point
10	5.139006765554396e-07	5128389.239951506	3.9548583074783497
9	-3.762238082682571e+52	-8.912436832427956e+46	-8.995483827103166e+46

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	47
1	35	41
done	35	41

end0.0ms

sample1.8s

Algorithm

intervals

Results

678.0ms	1562×	body	1280	valid
372.0ms	1481×	body	640	valid
211.0ms	4851×	body	80	valid
135.0ms	819×	body	320	valid
93.0ms	3062×	body	80	nan
46.0ms	460×	body	160	valid