Details

sample93.0ms

Algorithm

intervals

Results

17.0ms	27×	body	1280	valid
15.0ms	214×	body	80	valid
13.0ms	32×	body	640	valid
11.0ms	13×	body	160	valid
5.0ms	94×	body	80	nan
4.0ms	18×	body	320	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2094
5	507
4	152
3	54
2	27
1	18
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b	(/ y (+ z y))
6.2b	(pow (/ y (+ z y)) y)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
122×	`*-un-lft-identity`
90×	`unpow-prod-down`
82×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
20×	`distribute-lft-out`
17×	`add-exp-log`
12×	`associate-/r/`
8×	`add-cbrt-cube`
7×	`associate-/r*` `flip3-+` `div-exp` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `pow-pow`

Counts

4 → 195

Calls

4 calls:

40.0ms	(/ (pow (/ y (+ z y)) y) y)
48.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
16.0ms	(/ y (+ z y))
11.0ms	(pow (/ y (+ z y)) y)

series730.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(/ (pow (/ y (+ z y)) y) y)
119.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
74.0ms	(/ y (+ z y))
363.0ms	(pow (/ y (+ z y)) y)

simplify1.5s

Counts

207 → 207

Iterations

Iter	Nodes
done	5000
2	3184
1	744
0	307

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.1b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-l/` `associate-r/` `div-inv` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
32.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
43.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt y)
297.0ms	(cbrt y)
436.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
405.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.6s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
2	3169
1	982
0	301

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.1b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-l/` `associate-r/` `div-inv` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
31.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
45.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt y)
291.0ms	(cbrt y)
352.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
398.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.7s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
2	3169
1	982
0	301

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

6.0ms	(cbrt (+ z y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
54.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (+ z y))
244.0ms	(cbrt y)
264.0ms	(cbrt y)
424.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify937.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1874
1	539
0	183

prune747.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (1.4b remaining)

Error of 2.1b against oracle of 0.7b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

810.0ms	6482×	body	80	valid
667.0ms	792×	body	1280	valid
613.0ms	2977×	body	80	nan
497.0ms	969×	body	640	valid
180.0ms	597×	body	320	valid
65.0ms	341×	body	160	valid