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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(log (+ 1.0 x))

simplify39.0ms

Counts

20 → 20

Iterations

Useful iterations: 3 (37.0ms)

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

localize11.0ms

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)))

rewrite44.0ms

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)))))
37.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
56.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify61.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (47.0ms)

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

prune303.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite13.0ms

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))

series184.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
95.0ms	(pow (log (+ 1.0 x)) 3)
47.0ms	(log (+ 1.0 x))

simplify45.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	422	453
1	1713	431
2	5001	421
done	5001	421

prune145.0ms

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	(* (log (+ 1.0 x)) (log (+ 1.0 x)))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`pow1` `log-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
9×	`add-exp-log` `log-pow`
6×	`log-div` `swap-sqr` `add-cbrt-cube`
5×	`distribute-lft-out`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

16.0ms	(* (log (+ 1.0 x)) (log (+ 1.0 x)))
5.0ms	(log (+ 1.0 x))
8.0ms	(log (+ 1.0 x))
5.0ms	(log (+ 1.0 x))

series188.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (log (+ 1.0 x)) (log (+ 1.0 x)))
39.0ms	(log (+ 1.0 x))
44.0ms	(log (+ 1.0 x))
40.0ms	(log (+ 1.0 x))

simplify35.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	308	631
1	1103	557
2	5002	506
done	5002	506

prune202.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes98.0ms

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

944.0ms	2241×	body	1280	valid
334.0ms	1656×	body	640	valid
93.0ms	894×	body	320	valid
56.0ms	2825×	body	80	valid
32.0ms	2650×	body	80	nan
22.0ms	384×	body	160	valid