Details

sample110.0ms

Algorithm

intervals

Results

38.0ms	54×	body	1280	valid
22.0ms	54×	body	640	valid
12.0ms	153×	body	80	valid
8.0ms	30×	body	320	valid
5.0ms	99×	body	80	nan
3.0ms	19×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	49	9
4	105	9
5	241	9
6	578	9
7	1854	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
6.7b	(pow (/ x (+ x y)) x)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

47.0ms	(/ (pow (/ x (+ x y)) x) x)
12.0ms	(/ x (+ x y))
14.0ms	(pow (/ x (+ x y)) x)

series535.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(/ (pow (/ x (+ x y)) x) x)
42.0ms	(/ x (+ x y))
336.0ms	(pow (/ x (+ x y)) x)

simplify1.1s

Counts

181 → 181

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	276	2881
1	528	2708
2	1487	2650
done	5000	2646

prune593.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.1b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite93.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
33.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
49.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt x)
235.0ms	(cbrt x)
346.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
361.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify2.8s

Counts

128 → 128

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	295	2319
1	678	2162
2	1467	1952
3	4198	1936
done	5000	1936

prune585.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
1.1b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.1b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.1b	(pow (/ (cbrt x) (cbrt (+ x y))) x)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

144×	`unpow-prod-down`
138×	`cbrt-prod`
126×	`times-frac`
125×	`*-un-lft-identity`
89×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
9×	`pow-unpow`
7×	`pow1`
6×	`cbrt-div` `pow-exp` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 200

Calls

4 calls:

1.0ms	(cbrt x)
24.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
27.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
20.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt x)
373.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
357.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
321.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)

simplify2.0s

Counts

212 → 212

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	208	3938
1	459	3679
2	934	3592
3	2369	3574
done	5000	3556

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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` `frac-2neg` `exp-diff` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

14.0ms

(/ (exp (- y)) x)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (exp (- y)) x)

simplify2.8s

Counts

32 → 32

Iterations

Useful iterations: 3 (243.0ms)

Iter	Nodes	Cost
0	64	299
1	117	289
2	281	269
3	680	267
4	2766	267
done	5001	267

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

81.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 5.4b

bsearch209.0ms

Steps

Iters	Range		Point
9	1.2167838917470026e-32	2.9088581115424155e-25	2.859517489315194e-25
9	-1.1336114390675675e+140	-1.3239866454658551e+135	-1.335604954605443e+135

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	51
1	27	46
done	27	46

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	1422×	body	640	valid
1.1s	1522×	body	1280	valid
334.0ms	4873×	body	80	valid
273.0ms	877×	body	320	valid
260.0ms	3017×	body	80	nan
75.0ms	427×	body	160	valid