Details

sample57.0ms

Algorithm

intervals

Results

32.0ms	75×	body	1280	valid
11.0ms	54×	body	640	valid
2.0ms	97×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	79×	body	80	nan
1.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2
done	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.3b

localize3.0ms

Local error

Found 1 expressions with local error:

3.6b	(log (+ 1.0 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

5.0ms

(log (+ 1.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify41.0ms

Counts

20 → 20

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81
done	5002	81

prune48.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

0.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
38.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
60.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify60.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	560	763
1	2406	633
2	5001	632
done	5001	632

prune294.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.3b	(pow (log (+ 1.0 x)) 3)
3.6b	(log (+ 1.0 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 69

Calls

3 calls:

3.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
3.0ms	(pow (log (+ 1.0 x)) 3)
5.0ms	(log (+ 1.0 x))

series189.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
97.0ms	(pow (log (+ 1.0 x)) 3)
42.0ms	(log (+ 1.0 x))

simplify46.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	422	449
1	1720	429
2	5001	421
done	5001	421

prune132.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* (log (+ 1.0 x)) (pow (log (+ 1.0 x)) 2)))
0.2b	(pow (log (+ 1.0 x)) 2)
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-prod`
7×	`add-exp-log`
4×	`expm1-log1p-u` `unpow-prod-down` `log-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-pow`
2×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `unpow2`
1×	`cbrt-prod` `pow-to-exp` `pow-pow` `cube-unmult` `pow1/3` `pow-exp` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

8.0ms	(cbrt (* (log (+ 1.0 x)) (pow (log (+ 1.0 x)) 2)))
3.0ms	(pow (log (+ 1.0 x)) 2)
4.0ms	(log (+ 1.0 x))
5.0ms	(log (+ 1.0 x))

series194.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt (* (log (+ 1.0 x)) (pow (log (+ 1.0 x)) 2)))
60.0ms	(pow (log (+ 1.0 x)) 2)
46.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))

simplify142.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	324	475
1	1085	427
2	4811	356
3	5001	356
done	5001	356

prune180.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.8b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10
done	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

966.0ms	2241×	body	1280	valid
335.0ms	1656×	body	640	valid
90.0ms	894×	body	320	valid
56.0ms	2825×	body	80	valid
38.0ms	2650×	body	80	nan
22.0ms	384×	body	160	valid