Details

sample89.0ms

Algorithm

intervals

Results

48.0ms	75×	body	1280	valid
17.0ms	56×	body	640	valid
4.0ms	21×	body	320	valid
3.0ms	88×	body	80	valid
2.0ms	85×	body	80	nan
1.0ms	16×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.8b

localize8.0ms

Local error

Found 1 expressions with local error:

4.6b	(log (+ 1.0 x))

rewrite10.0ms

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×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

9.0ms

(log (+ 1.0 x))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(log (+ 1.0 x))

simplify4.3s

Counts

18 → 18

Iterations

Useful iterations: 5 (2.0s)

Iter	Nodes	Cost
0	58	178
1	123	171
2	260	151
3	528	151
4	1197	146
5	3028	140
done	5000	140

prune52.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
0.2b	(/ -1/2 (/ (* 1.0 1.0) x))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`pow1` `associate-r`
3×	`associate-l` `associate-/l*`
2×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

78.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
11.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series115.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
18.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify3.5s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	146	994
1	354	928
2	1127	852
3	4629	842
done	5001	842

prune311.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
0.2b	(/ -1/2 (/ (* 1.0 1.0) x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`pow1`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `associate-/r/` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

2 → 60

Calls

2 calls:

15.0ms	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
21.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series167.0ms

Counts

2 → 6

Calls

2 calls:

132.0ms	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
35.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify4.1s

Counts

66 → 66

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	138	915
1	335	837
2	1098	763
3	4518	747
done	5000	747

prune220.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 1.0 (log (exp (/ -1/2 (/ (* 1.0 1.0) x))))))
0.2b	(/ -1/2 (/ (* 1.0 1.0) x))
4.9b	(log (exp (/ -1/2 (/ (* 1.0 1.0) x))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
39×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
28×	`log-pow`
26×	`exp-prod`
14×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
7×	`pow1` `associate-/r*`
5×	`cbrt-undiv` `div-exp` `associate-r`
3×	`log-prod` `associate-l` `associate-/l*` `add-log-exp`
2×	`associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `rem-log-exp` `pow-prod-down` `clear-num` `*-commutative` `flip-+` `unswap-sqr`

Counts

3 → 110

Calls

3 calls:

174.0ms	(* x (+ 1.0 (log (exp (/ -1/2 (/ (* 1.0 1.0) x))))))
17.0ms	(/ -1/2 (/ (* 1.0 1.0) x))
22.0ms	(log (exp (/ -1/2 (/ (* 1.0 1.0) x))))

series169.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* x (+ 1.0 (log (exp (/ -1/2 (/ (* 1.0 1.0) x))))))
31.0ms	(/ -1/2 (/ (* 1.0 1.0) x))
28.0ms	(log (exp (/ -1/2 (/ (* 1.0 1.0) x))))

simplify3.6s

Counts

119 → 119

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	213	1504
1	418	1283
2	1236	1193
3	4934	1179
done	5001	1179

prune413.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes179.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.7b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	21	26
done	21	26

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	2266×	body	1280	valid
616.0ms	1667×	body	640	valid
141.0ms	822×	body	320	valid
104.0ms	2827×	body	80	valid
100.0ms	2731×	body	80	nan
42.0ms	418×	body	160	valid