Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	49×	body	1280	valid
11.0ms	44×	body	640	valid
7.0ms	162×	body	80	valid
4.0ms	24×	body	320	valid
3.0ms	90×	body	80	nan
1.0ms	12×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	51	9
4	102	9
5	239	9
6	553	9
7	1646	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
7.9b	(pow (/ x (+ x y)) x)

rewrite53.0ms

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:

5.0ms	(/ x (+ x y))
24.0ms	(/ (pow (/ x (+ x y)) x) x)
14.0ms	(pow (/ x (+ x y)) x)

series440.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ x (+ x y))
144.0ms	(/ (pow (/ x (+ x y)) x) x)
251.0ms	(pow (/ x (+ x y)) x)

simplify850.0ms

Counts

187 → 187

Iterations

Useful iterations: 2 (273.0ms)

Iter	Nodes	Cost
0	282	2929
1	552	2745
2	1623	2688
done	5000	2688

prune441.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series862.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt x)
186.0ms	(cbrt x)
182.0ms	(cbrt x)
292.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: 3 (515.0ms)

Iter	Nodes	Cost
0	154	1147
1	368	1061
2	900	939
3	2667	921
done	5000	921

prune303.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.9b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series681.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt x)
196.0ms	(cbrt x)
203.0ms	(cbrt x)
81.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: 4 (620.0ms)

Iter	Nodes	Cost
0	177	1295
1	316	1207
2	573	1152
3	1243	1109
4	2666	1107
done	5001	1107

prune416.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
1.9b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series924.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt (cbrt x))
280.0ms	(cbrt (cbrt x))
277.0ms	(cbrt (cbrt x))
86.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify1.6s

Counts

121 → 121

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	188	1430
1	330	1339
2	573	1298
3	1168	1255
4	2266	1253
done	5001	1247

prune508.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

88% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.3b

bsearch118.0ms

Steps

Iters	Range		Point
8	0.44834868164545755	179.5191949529741	6.441277885744034
10	-3540160029299381.0	-1.204215327568116	-7.1506444135661775

simplify6.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	59
1	37	55
done	37	55

end0.0ms

sample1.8s

Algorithm

intervals

Results

647.0ms	1491×	body	1280	valid
373.0ms	1472×	body	640	valid
203.0ms	4795×	body	80	valid
142.0ms	889×	body	320	valid
90.0ms	3040×	body	80	nan
50.0ms	497×	body	160	valid