Details

sample109.0ms

Algorithm

intervals

Results

23.0ms	219×	body	80	valid
22.0ms	24×	body	1280	valid
14.0ms	25×	body	640	valid
7.0ms	20×	body	320	valid
7.0ms	91×	body	80	nan
2.0ms	8×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	55	11
4	152	11
5	489	11
6	1976	11
done	5001	11

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`*-un-lft-identity`
90×	`unpow-prod-down`
81×	`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×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`pow-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log`

Counts

4 → 184

Calls

4 calls:

79.0ms	(/ (pow (/ y (+ z y)) y) y)
22.0ms	(/ y (+ z y))
124.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
30.0ms	(pow (/ y (+ z y)) y)

series909.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(/ (pow (/ y (+ z y)) y) y)
78.0ms	(/ y (+ z y))
149.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
434.0ms	(pow (/ y (+ z y)) y)

simplify2.3s

Counts

196 → 196

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	300	3136
1	723	2932
2	3099	2875
done	5002	2872

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize74.0ms

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

rewrite121.0ms

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×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
38.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
68.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.7s

Counts

4 → 12

Calls

4 calls:

353.0ms	(cbrt y)
374.0ms	(cbrt y)
504.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
513.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.5s

Counts

128 → 128

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	295	2319
1	965	2162
2	3097	2029
done	5004	1979

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

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)
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 144

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
40.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
19.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

382.0ms	(cbrt y)
363.0ms	(cbrt y)
513.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
151.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.9s

Counts

156 → 156

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	274	2485
1	796	2317
2	2465	2242
done	5000	2236

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize90.0ms

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

rewrite115.0ms

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×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
40.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
60.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.9s

Counts

4 → 12

Calls

4 calls:

385.0ms	(cbrt y)
389.0ms	(cbrt y)
547.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
582.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.4s

Counts

128 → 128

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	295	2319
1	965	2162
2	3097	2029
done	5004	1979

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes245.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.5s	6520×	body	80	valid
802.0ms	810×	body	1280	valid
528.0ms	903×	body	640	valid
332.0ms	2919×	body	80	nan
195.0ms	539×	body	320	valid
72.0ms	320×	body	160	valid