Details

sample100.0ms

Algorithm

intervals

Results

59.0ms	78×	body	1280	valid
17.0ms	44×	body	640	valid
4.0ms	24×	body	320	valid
4.0ms	99×	body	80	valid
2.0ms	89×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	112
1	5	112
done	5	112

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.6b

localize7.0ms

Local error

Found 1 expressions with local error:

2.6b	(log (+ 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

8.0ms

(log (+ 1.0 x))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(log (+ 1.0 x))

simplify2.1s

Counts

18 → 18

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	58	5494
1	123	4230
2	288	4028
3	735	4028
4	2348	3877
done	5002	3797

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
12×	`associate-*r/`
9×	`prod-exp` `cbrt-unprod`
7×	`pow1`
6×	`frac-add` `add-log-exp`
4×	`add-sqr-sqrt` `cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`frac-times` `sum-log` `-un-lft-identity` `associate-l` `pow-prod-down` `associate-l/` `add-cube-cbrt`
1×	`+-commutative` `associate-+r+` `associate-r` `*-commutative` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

74.0ms	(+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (log 1.0) (* 1.0 x)))
49.0ms	(* -1/2 (* (/ x 1.0) (/ x 1.0)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (log 1.0) (* 1.0 x)))
49.0ms	(* -1/2 (* (/ x 1.0) (/ x 1.0)))

simplify2.7s

Counts

53 → 53

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	121	20450
1	404	16730
2	1734	16250
done	5003	15840

prune241.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
0.2b	(cbrt (+ 1.0 x))
2.6b	(log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
2.6b	(log (cbrt (+ 1.0 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`pow1`
12×	`cbrt-prod`
11×	`log-pow`
10×	`log-div`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-sqr-sqrt` `log-prod` `add-exp-log` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
3×	`rem-log-exp` `distribute-lft-out`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 74

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 x))
3.0ms	(cbrt (+ 1.0 x))
14.0ms	(log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
4.0ms	(log (cbrt (+ 1.0 x)))

series520.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (+ 1.0 x))
120.0ms	(cbrt (+ 1.0 x))
167.0ms	(log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
128.0ms	(log (cbrt (+ 1.0 x)))

simplify2.0s

Counts

86 → 86

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	167	37553
1	364	29729
2	869	29365
3	2423	28475
done	5013	28352

prune456.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
2.6b	(log (cbrt (+ 1.0 x)))
2.6b	(log (cbrt (+ 1.0 x)))
2.6b	(log (cbrt (+ 1.0 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
19×	`*-un-lft-identity`
16×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
7×	`pow1` `add-exp-log`
6×	`log-div` `log-pow`
4×	`flip3-+` `add-cbrt-cube` `pow1/3` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp`

Counts

4 → 71

Calls

4 calls:

5.0ms	(cbrt (+ 1.0 x))
4.0ms	(log (cbrt (+ 1.0 x)))
7.0ms	(log (cbrt (+ 1.0 x)))
4.0ms	(log (cbrt (+ 1.0 x)))

series583.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ 1.0 x))
151.0ms	(log (cbrt (+ 1.0 x)))
134.0ms	(log (cbrt (+ 1.0 x)))
181.0ms	(log (cbrt (+ 1.0 x)))

simplify2.0s

Counts

83 → 83

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	114	34113
1	252	27115
2	653	26589
3	1838	25789
done	5002	25625

prune427.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes196.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.9b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	554
1	20	554
done	20	554

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s	2234×	body	1280	valid
554.0ms	1683×	body	640	valid
192.0ms	2848×	body	80	valid
140.0ms	820×	body	320	valid
107.0ms	2676×	body	80	nan
42.0ms	415×	body	160	valid