Details

sample121.0ms

Algorithm

intervals

Results

37.0ms	47×	body	1280	valid
26.0ms	52×	body	640	valid
16.0ms	165×	body	80	valid
8.0ms	24×	body	320	valid
7.0ms	110×	body	80	nan
2.0ms	12×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	49	9
4	107	9
5	245	9
6	580	9
7	1850	9
done	5000	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
7.4b	(pow (/ x (+ x y)) x)

rewrite85.0ms

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×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 178

Calls

3 calls:

49.0ms	(/ (pow (/ x (+ x y)) x) x)
12.0ms	(/ x (+ x y))
14.0ms	(pow (/ x (+ x y)) x)

series576.0ms

Counts

3 → 9

Calls

3 calls:

248.0ms	(/ (pow (/ x (+ x y)) x) x)
44.0ms	(/ x (+ x y))
283.0ms	(pow (/ x (+ x y)) x)

simplify1.6s

Counts

187 → 187

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	282	2929
1	545	2745
2	1552	2688
done	5000	2684

prune629.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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` `expm1-log1p-u` `frac-2neg` `exp-diff` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

17.0ms

(/ (exp (- y)) x)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(/ (exp (- y)) x)

simplify2.8s

Counts

34 → 34

Iterations

Useful iterations: 3 (246.0ms)

Iter	Nodes	Cost
0	66	311
1	120	300
2	293	280
3	709	278
4	2815	278
done	5002	278

prune119.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
2.0b	(pow (/ x (cbrt (+ x y))) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
27×	`unpow-prod-down`
24×	`cbrt-prod`
22×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`times-frac`
8×	`cbrt-div`
7×	`add-exp-log`
6×	`distribute-lft-out`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

4.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
17.0ms	(pow (/ x (cbrt (+ x y))) x)

series596.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (+ x y))
164.0ms	(cbrt (+ x y))
139.0ms	(cbrt (+ x y))
120.0ms	(pow (/ x (cbrt (+ x y))) x)

simplify2.8s

Counts

104 → 104

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	211	1435
1	513	1331
2	1333	1297
3	4422	1279
done	5000	1279

prune587.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-div`
10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 58

Calls

4 calls:

19.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

413.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
263.0ms	(cbrt x)
294.0ms	(cbrt x)
307.0ms	(cbrt x)

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	108	637
1	200	606
2	411	567
3	919	554
4	2622	554
done	5000	552

prune455.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 11.2b

bsearch111.0ms

Steps

Iters	Range		Point
8	0.00013312118248051433	0.12160444842987421	0.12040142811151512
7	-123.41774798665298	-0.7718806003288846	-15.657904920260705

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	63
1	36	59
done	36	59

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.2s	1549×	body	1280	valid
1.0s	4811×	body	80	valid
775.0ms	1489×	body	640	valid
289.0ms	839×	body	320	valid
286.0ms	3131×	body	80	nan
82.0ms	446×	body	160	valid