Details

sample52.0ms

Algorithm

intervals

Results

11.0ms	24×	body	1280	valid
10.0ms	212×	body	80	valid
7.0ms	27×	body	640	valid
3.0ms	108×	body	80	nan
3.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b	(/ y (+ z y))
5.4b	(pow (/ y (+ z y)) y)

rewrite87.0ms

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:

60.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
11.0ms	(/ y (+ z y))
13.0ms	(pow (/ y (+ z y)) y)

series358.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
40.0ms	(/ y (+ z y))
237.0ms	(pow (/ y (+ z y)) y)

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	164	1143
1	405	1072
2	1038	1017
3	3016	1012
done	5000	1011

prune220.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
1.5b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
17×	`add-exp-log`
15×	`*-un-lft-identity`
13×	`unpow-prod-down`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `flip-+`
8×	`associate-/r/`
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` `distribute-lft-out`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
27.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series682.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (+ z y))
130.0ms	(cbrt (+ z y))
138.0ms	(cbrt (+ z y))
284.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	169	1447
1	410	1341
2	968	1212
3	2923	1187
done	5001	1184

prune363.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
3.3b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
132.0ms	(cbrt (+ z y))
138.0ms	(cbrt (+ z y))
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.0s

Counts

118 → 118

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	202	1495
1	382	1393
2	742	1334
3	1546	1289
4	3884	1287
done	5001	1280

prune469.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:

12.0ms	(/ (exp (- z)) y)
14.0ms	(+ x (/ (exp (- z)) y))

series52.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ (exp (- z)) y)
29.0ms	(+ x (/ (exp (- z)) y))

simplify1.4s

Counts

54 → 54

Iterations

Useful iterations: done (1.4s)

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

prune125.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27
done	21	27

end0.0ms

sample1.5s

Algorithm

intervals

Results

323.0ms	750×	body	1280	valid
304.0ms	6546×	body	80	valid
243.0ms	951×	body	640	valid
94.0ms	2963×	body	80	nan
87.0ms	532×	body	320	valid
39.0ms	354×	body	160	valid