Details

sample115.0ms

Algorithm

intervals

Results

73.0ms	95×	body	1280	valid
16.0ms	44×	body	640	valid
5.0ms	26×	body	320	valid
4.0ms	76×	body	80	valid
4.0ms	110×	body	80	nan
2.0ms	15×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	5
1	5
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.0b

localize11.0ms

Local error

Found 1 expressions with local error:

4.1b	(log (+ 1 x))

rewrite6.0ms

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-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

6.0ms

(log (+ 1 x))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(log (+ 1 x))

simplify1.3s

Counts

19 → 19

Iterations

Iter	Nodes
5	2892
4	1038
3	435
2	208
1	105
0	55

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* x x) (- (* 1/3 x) 1/2)))
0.0b	(* (* x x) (- (* 1/3 x) 1/2))
0.3b	(* 1/3 x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `flip-+` `flip--`

Counts

3 → 61

Calls

3 calls:

14.0ms	(+ x (* (* x x) (- (* 1/3 x) 1/2)))
52.0ms	(* (* x x) (- (* 1/3 x) 1/2))
6.0ms	(* 1/3 x)

series162.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (* (* x x) (- (* 1/3 x) 1/2)))
103.0ms	(* (* x x) (- (* 1/3 x) 1/2))
27.0ms	(* 1/3 x)

simplify2.1s

Counts

70 → 70

Iterations

Iter	Nodes
3	3636
2	831
1	287
0	103

prune356.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1 x))
0.2b	(cbrt (+ 1 x))
4.2b	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
4.2b	(log (cbrt (+ 1 x)))

rewrite47.0ms

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` `insert-posit16` `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 → 78

Calls

4 calls:

5.0ms	(cbrt (+ 1 x))
5.0ms	(cbrt (+ 1 x))
28.0ms	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
7.0ms	(log (cbrt (+ 1 x)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (+ 1 x))
63.0ms	(cbrt (+ 1 x))
76.0ms	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
85.0ms	(log (cbrt (+ 1 x)))

simplify2.0s

Counts

90 → 90

Iterations

Iter	Nodes
4	3196
3	1344
2	640
1	313
0	153

prune657.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ 1/3 1/3) (log (+ 1 x)))
0.2b	(cbrt (+ 1 x))
4.1b	(log (+ 1 x))
4.2b	(log (cbrt (+ 1 x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1`
8×	`cbrt-prod` `add-exp-log` `distribute-lft-out`
6×	`add-cbrt-cube`
4×	`distribute-rgt-in` `log-div` `cbrt-div` `distribute-lft-in` `flip3-+` `associate-r` `log-pow` `flip-+` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-out`
2×	`pow1/3` `rem-log-exp` `associate-*l/`
1×	`distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

33.0ms	(* (+ 1/3 1/3) (log (+ 1 x)))
5.0ms	(cbrt (+ 1 x))
6.0ms	(log (+ 1 x))
7.0ms	(log (cbrt (+ 1 x)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ 1/3 1/3) (log (+ 1 x)))
61.0ms	(cbrt (+ 1 x))
22.0ms	(log (+ 1 x))
64.0ms	(log (cbrt (+ 1 x)))

simplify2.9s

Counts

102 → 102

Iterations

Iter	Nodes
4	4681
3	1976
2	927
1	442
0	193

prune732.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes167.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 20.2b

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	2321×	body	1280	valid
660.0ms	1664×	body	640	valid
209.0ms	837×	body	320	valid
195.0ms	2749×	body	80	valid
112.0ms	2696×	body	80	nan
53.0ms	429×	body	160	valid