Details

sample95.0ms

Algorithm

intervals

Results

42.0ms	70×	body	1280	valid
19.0ms	62×	body	640	valid
4.0ms	28×	body	320	valid
3.0ms	81×	body	80	valid
2.0ms	102×	body	80	nan
1.0ms	15×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.3b

localize5.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ x 1.0))

rewrite4.0ms

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:

4.0ms

(log (+ x 1.0))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(log (+ x 1.0))

simplify688.0ms

Counts

18 → 18

Iterations

Iter	Nodes
done	5001
3	1359
2	384
1	123
0	59

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ (* x x) 1.0) (/ -1/2 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt`
16×	`times-frac`
13×	`associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
4×	`unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

30.0ms

(* (/ (* x x) 1.0) (/ -1/2 1.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (/ (* x x) 1.0) (/ -1/2 1.0))

simplify1.5s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
2	2549
1	345
0	105

prune206.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
4.5b	(log (+ 1.0 x))
4.5b	(log (+ 1.0 x))
4.5b	(log (+ 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

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

series387.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (log (+ 1.0 x)))
47.0ms	(log (+ 1.0 x))
79.0ms	(log (+ 1.0 x))
66.0ms	(log (+ 1.0 x))

simplify2.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	4889
2	1021
1	308
0	123

prune451.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize93.0ms

Local error

Found 4 expressions with local error:

4.5b	(log (+ x 1.0))
4.5b	(log (+ x 1.0))
4.5b	(log (+ 1.0 x))
4.5b	(log (+ 1.0 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

7.0ms	(log (+ x 1.0))
7.0ms	(log (+ x 1.0))
6.0ms	(log (+ 1.0 x))
6.0ms	(log (+ 1.0 x))

series274.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(log (+ x 1.0))
72.0ms	(log (+ x 1.0))
79.0ms	(log (+ 1.0 x))
77.0ms	(log (+ 1.0 x))

simplify976.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	1719
2	483
1	161
0	83

prune506.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes102.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.6b

bsearch46.0ms

Steps

Iters	Range		Point
9	7.547849388716505e-12	0.00012587414935880383	6.6498103248516095e-06

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	2243×	body	1280	valid
556.0ms	1688×	body	640	valid
185.0ms	831×	body	320	valid
135.0ms	2808×	body	80	valid
76.0ms	430×	body	160	valid
62.0ms	2708×	body	80	nan