Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
7.0ms	271×	body	80	nan

simplify24.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (104.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	62	12
3	183	12
4	542	11
5	1069	11
6	1713	11
7	2387	11
8	2611	11
9	2729	11
10	3049	11
11	3261	11
12	3450	11
13	3675	11
14	3932	11
15	3978	11
16	3998	11
done	3998	11

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (fma (log y) (+ y 0.5) z) y)
0.1b	(fma (log y) (+ y 0.5) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

3.0ms	(- (fma (log y) (+ y 0.5) z) y)
0.0ms	(fma (log y) (+ y 0.5) z)

series98.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (fma (log y) (+ y 0.5) z) y)
43.0ms	(fma (log y) (+ y 0.5) z)

simplify1.3s

Counts

45 → 45

Iterations

Useful iterations: 3 (439.0ms)

Iter	Nodes	Cost
0	94	773
1	212	644
2	572	556
3	2559	487
done	5000	487

prune153.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (pow (cbrt (fma (log y) (+ y 0.5) z)) 3) y)
0.1b	(fma (log y) (+ y 0.5) z)
0.5b	(cbrt (fma (log y) (+ y 0.5) z))
0.7b	(pow (cbrt (fma (log y) (+ y 0.5) z)) 3)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
54×	`prod-diff`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
35×	`cbrt-prod`
32×	`unpow-prod-down` `cube-prod`
18×	`fma-neg`
6×	`add-log-exp` `difference-of-squares` `sqr-pow`
5×	`pow1` `add-exp-log` `cube-mult` `unpow3`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow`
2×	`pow-pow` `pow1/3`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--` `fma-udef` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 148

Calls

4 calls:

23.0ms	(- (pow (cbrt (fma (log y) (+ y 0.5) z)) 3) y)
0.0ms	(fma (log y) (+ y 0.5) z)
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
2.0ms	(pow (cbrt (fma (log y) (+ y 0.5) z)) 3)

series917.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (pow (cbrt (fma (log y) (+ y 0.5) z)) 3) y)
44.0ms	(fma (log y) (+ y 0.5) z)
305.0ms	(cbrt (fma (log y) (+ y 0.5) z))
505.0ms	(pow (cbrt (fma (log y) (+ y 0.5) z)) 3)

simplify907.0ms

Counts

160 → 160

Iterations

Useful iterations: done (902.0ms)

Iter	Nodes	Cost
0	239	4051
1	606	2575
2	2037	2071
done	5001	2017

prune378.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

series4.4s

Counts

4 → 12

Calls

4 calls:

3.3s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
347.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
359.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
373.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify1.5s

Counts

121 → 121

Iterations

Useful iterations: 2 (607.0ms)

Iter	Nodes	Cost
0	305	4988
1	954	4727
2	4355	4478
done	5000	4478

prune568.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3))
0.7b	(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
28×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
10×	`cbrt-div`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `add-exp-log`
4×	`cube-div` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `pow-pow` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 107

Calls

4 calls:

2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
6.0ms	(cbrt (pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3))
11.0ms	(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

series2.5s

Counts

4 → 12

Calls

4 calls:

383.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
374.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
384.0ms	(cbrt (pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3))
1.3s	(pow (cbrt (- (fma (log y) (+ y 0.5) z) y)) 3)

simplify790.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (281.0ms)

Iter	Nodes	Cost
0	198	3504
1	558	3017
2	1981	2789
done	5000	2789

prune449.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	10	11
done	10	11

end0.0ms

sample861.0ms

Algorithm

intervals

Results

285.0ms	8028×	body	80	valid
233.0ms	8221×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid