Details

sample117.0ms

Algorithm

intervals

Results

34.0ms	22×	body	1280	valid
24.0ms	219×	body	80	valid
20.0ms	35×	body	640	valid
7.0ms	18×	body	320	valid
7.0ms	84×	body	80	nan
3.0ms	15×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	52	11
4	110	11
5	249	11
6	590	11
7	1855	11
done	5000	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
3.6b	(pow (/ y (+ z y)) y)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

11.0ms	(/ y (+ z y))
64.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
19.0ms	(pow (/ y (+ z y)) y)

series473.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ y (+ z y))
126.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
271.0ms	(pow (/ y (+ z y)) y)

simplify2.0s

Counts

96 → 96

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	164	1143
1	405	1072
2	1033	1017
3	3012	1012
done	5000	1011

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)
48.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt y)
214.0ms	(cbrt y)
234.0ms	(cbrt y)
335.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	154	1147
1	369	1062
2	850	939
3	2595	917
done	5000	914

prune426.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (+ z y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series951.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (+ z y))
244.0ms	(cbrt y)
278.0ms	(cbrt y)
283.0ms	(cbrt y)

simplify2.4s

Counts

67 → 67

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	77	384
1	159	361
2	342	335
3	773	322
4	2122	322
done	5000	320

prune361.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 48

Calls

2 calls:

19.0ms	(/ (exp (- z)) y)
19.0ms	(+ x (/ (exp (- z)) y))

series66.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp (- z)) y)
40.0ms	(+ x (/ (exp (- z)) y))

simplify2.0s

Counts

54 → 54

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	89	496
1	187	468
2	475	439
3	1237	437
done	5000	436

prune169.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

47% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.0b

bsearch62.0ms

Steps

Iters	Range		Point
5	-1.1168504929064998e+61	-3.9318667429202374e+60	-5.528608899369224e+60

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	44
1	23	44
done	23	44

end0.0ms

sample2.8s

Algorithm

intervals

Results

859.0ms	992×	body	640	valid
639.0ms	6541×	body	80	valid
487.0ms	747×	body	1280	valid
166.0ms	3054×	body	80	nan
142.0ms	564×	body	320	valid
82.0ms	314×	body	160	valid