Details

sample57.0ms

Algorithm

intervals

Results

20.0ms	48×	body	1280	valid
11.0ms	45×	body	640	valid
7.0ms	159×	body	80	valid
6.0ms	36×	body	320	valid
2.0ms	82×	body	80	nan
1.0ms	6×	body	160	valid

simplify1.4s

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	100	9
5	237	9
6	567	9
7	2846	9
done	5001	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
5.3b	(pow (/ x (+ x y)) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 66

Calls

2 calls:

10.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series257.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ x (+ x y))
217.0ms	(pow (/ x (+ x y)) x)

simplify750.0ms

Counts

72 → 72

Iterations

Useful iterations: done (748.0ms)

Iter	Nodes	Cost
0	129	836
1	308	785
2	993	756
done	5000	754

prune147.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(* (cbrt x) (cbrt x))
1.9b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
24×	`cbrt-div`
23×	`add-cube-cbrt`
21×	`add-exp-log`
19×	`pow1`
15×	`swap-sqr`
13×	`unpow-prod-down` `pow1/3` `associate-r` `associate-l`
12×	`flip3-+` `flip-+`
8×	`frac-times` `associate-/r/` `unswap-sqr`
6×	`prod-exp` `distribute-lft-out`
5×	`pow-exp`
4×	`associate-r/` `div-exp` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 135

Calls

4 calls:

0.0ms	(cbrt x)
19.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
6.0ms	(* (cbrt x) (cbrt x))
16.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series799.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
165.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
194.0ms	(* (cbrt x) (cbrt x))
260.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify794.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (226.0ms)

Iter	Nodes	Cost
0	220	2075
1	510	1763
2	1856	1678
done	5001	1678

prune413.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite4.0ms

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:

2.0ms	(cbrt (+ x y))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series670.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ x y))
175.0ms	(cbrt x)
186.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify2.7s

Counts

59 → 59

Iterations

Useful iterations: 4 (778.0ms)

Iter	Nodes	Cost
0	69	356
1	143	335
2	338	309
3	903	297
4	4964	295
done	5000	295

prune225.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

(/ (exp (- y)) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (exp (- y)) x)

simplify1.0s

Counts

32 → 32

Iterations

Useful iterations: 3 (216.0ms)

Iter	Nodes	Cost
0	64	299
1	117	289
2	325	269
3	1572	267
done	5000	267

prune55.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

96.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 5.7b

bsearch72.0ms

Steps

Iters	Range		Point
5	2.0587583544234707e-06	6.651833699959797e-06	6.552630352198267e-06
7	-3.430057490437851e+43	-2.7564750964835823e+41	-3.371891914955366e+41

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	21	51
1	26	47
done	26	47

end0.0ms

sample1.7s

Algorithm

intervals

Results

672.0ms	1582×	body	1280	valid
361.0ms	1425×	body	640	valid
207.0ms	4873×	body	80	valid
131.0ms	812×	body	320	valid
92.0ms	2981×	body	80	nan
45.0ms	453×	body	160	valid