Details

sample60.0ms

Algorithm

intervals

Results

13.0ms	218×	body	80	valid
10.0ms	36×	body	640	valid
10.0ms	20×	body	1280	valid
4.0ms	107×	body	80	nan
4.0ms	19×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	52	11
4	108	11
5	244	11
6	577	11
7	1850	11
done	5000	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b	(/ y (+ z y))
0.0b	(/ (pow (/ y (+ z y)) y) y)
3.2b	(pow (/ y (+ z y)) y)

rewrite184.0ms

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	(+ x (/ (pow (/ y (+ z y)) y) y))
20.0ms	(/ y (+ z y))
62.0ms	(/ (pow (/ y (+ z y)) y) y)
15.0ms	(pow (/ y (+ z y)) y)

series763.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
61.0ms	(/ y (+ z y))
210.0ms	(/ (pow (/ y (+ z y)) y) y)
376.0ms	(pow (/ y (+ z y)) y)

simplify1.4s

Counts

196 → 196

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	300	3136
1	601	2929
2	1686	2864
done	5000	2854

prune760.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 47

Calls

4 calls:

4.0ms	(cbrt (+ z y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (+ z y))
273.0ms	(cbrt y)
305.0ms	(cbrt y)
276.0ms	(cbrt y)

simplify2.1s

Counts

59 → 59

Iterations

Useful iterations: 4 (726.0ms)

Iter	Nodes	Cost
0	73	356
1	151	335
2	316	309
3	690	297
4	1839	295
done	5000	295

prune312.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

53.0ms	(+ (/ (exp (- z)) y) x)
13.0ms	(/ (exp (- z)) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (/ (exp (- z)) y) x)
24.0ms	(/ (exp (- z)) y)

simplify4.3s

Counts

47 → 47

Iterations

Useful iterations: 3 (390.0ms)

Iter	Nodes	Cost
0	87	481
1	181	457
2	447	427
3	1121	424
4	4686	424
done	5001	424

prune226.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

2.2b	(- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y)))
3.2b	(pow (/ y (+ z y)) y)
3.2b	(pow (/ y (+ z y)) (* 2 y))
27.4b	(/ (- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y))) (- x (/ (pow (/ y (+ z y)) y) y)))

rewrite567.0ms

Algorithm

rewrite-expression-head

Rules

221×	`add-sqr-sqrt`
196×	`times-frac`
100×	`difference-of-squares`
76×	`unpow-prod-down`
70×	`*-un-lft-identity`
40×	`add-cube-cbrt`
22×	`sqr-pow`
12×	`add-exp-log`
9×	`associate-/r*` `distribute-lft-out--`
8×	`associate-/l*`
6×	`pow1` `associate-/r/` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
4×	`pow-unpow` `pow-exp`
3×	`flip3--` `div-exp` `flip--` `div-inv`
2×	`pow-to-exp` `pow-pow` `flip3-+` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `clear-num`

Counts

4 → 187

Calls

4 calls:

60.0ms	(- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y)))
14.0ms	(pow (/ y (+ z y)) y)
15.0ms	(pow (/ y (+ z y)) (* 2 y))
451.0ms	(/ (- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y))) (- x (/ (pow (/ y (+ z y)) y) y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y)))
313.0ms	(pow (/ y (+ z y)) y)
359.0ms	(pow (/ y (+ z y)) (* 2 y))
806.0ms	(/ (- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y))) (- x (/ (pow (/ y (+ z y)) y) y)))

simplify1.9s

Counts

199 → 199

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	421	7160
1	1034	7013
2	2649	6679
done	5001	6283

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (1.4b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	31
1	17	31
done	17	31

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	6619×	body	80	valid
628.0ms	766×	body	1280	valid
383.0ms	882×	body	640	valid
336.0ms	3102×	body	80	nan
168.0ms	581×	body	320	valid
101.0ms	285×	body	160	valid