Details

sample143.0ms

Algorithm

intervals

Results

65.0ms	102×	body	1280	valid
34.0ms	83×	body	640	valid
12.0ms	248×	body	80	nan
11.0ms	45×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	8×	body	80	valid

simplify212.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	65	12
5	96	12
6	122	12
7	145	12
8	149	12
done	149	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

34.0ms	(/ (+ 1.0 x) (- 1.0 x))
16.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series220.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ 1.0 x) (- 1.0 x))
182.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify963.0ms

Counts

92 → 92

Iterations

Useful iterations: done (958.0ms)

Iter	Nodes	Cost
0	146	1310
1	347	1241
2	1377	1179
done	5001	1163

prune433.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune21.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
0.0b	(* x (+ 1.0 x))
5.6b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
5.6b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
262×	`*-un-lft-identity`
200×	`times-frac`
144×	`difference-of-squares`
109×	`log-prod`
108×	`unpow-prod-down` `cube-prod`
72×	`sqr-pow`
68×	`add-cube-cbrt`
52×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
12×	`add-exp-log`
9×	`difference-cubes`
8×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `associate-/r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`rem-log-exp` `associate-l`
2×	`flip3-+` `flip3--` `div-exp` `associate-*r/` `log-pow` `flip-+` `div-inv` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `log-div` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 305

Calls

4 calls:

47.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
41.0ms	(* x (+ 1.0 x))
2.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
31.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
66.0ms	(* x (+ 1.0 x))
122.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
84.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify1.6s

Counts

317 → 317

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	363	6908
1	838	6317
2	3428	6071
done	5001	6066

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (fma 1.0 1.0 (* x (+ 1.0 x)))) 3)
0.1b	(cbrt (pow (log (fma 1.0 1.0 (* x (+ 1.0 x)))) 3))
5.6b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
5.6b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

137×	`add-sqr-sqrt`
131×	`*-un-lft-identity`
109×	`log-prod`
100×	`times-frac`
64×	`difference-of-squares`
56×	`unpow-prod-down` `cube-prod`
41×	`add-cube-cbrt`
34×	`sqr-pow`
25×	`distribute-lft-out`
20×	`distribute-lft-out--`
14×	`cbrt-prod`
11×	`pow1`
9×	`add-exp-log`
6×	`log-pow`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `difference-cubes` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `rem-log-exp`
2×	`cube-mult` `unpow3` `associate-/r/`
1×	`pow-to-exp` `log-div` `pow-pow` `flip3--` `pow1/3` `div-exp` `pow-exp` `rem-cbrt-cube` `div-inv` `flip--` `rem-cube-cbrt`

Counts

4 → 185

Calls

4 calls:

5.0ms	(pow (log (fma 1.0 1.0 (* x (+ 1.0 x)))) 3)
4.0ms	(cbrt (pow (log (fma 1.0 1.0 (* x (+ 1.0 x)))) 3))
2.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
53.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(pow (log (fma 1.0 1.0 (* x (+ 1.0 x)))) 3)
115.0ms	(cbrt (pow (log (fma 1.0 1.0 (* x (+ 1.0 x)))) 3))
109.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
110.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify1.7s

Counts

197 → 197

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	372	4557
1	866	4066
2	3230	3829
done	5001	3822

prune967.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes162.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	14	20
done	14	20

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.0s	3486×	body	1280	valid
1.1s	2438×	body	640	valid
1.1s	7876×	body	80	nan
377.0ms	1248×	body	320	valid
92.0ms	615×	body	160	valid
15.0ms	213×	body	80	valid