Details

sample75.0ms

Algorithm

intervals

Results

35.0ms	72×	body	1280	valid
16.0ms	65×	body	640	valid
8.0ms	91×	body	80	nan
3.0ms	23×	body	320	valid
2.0ms	78×	body	80	valid
1.0ms	18×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.1b

localize4.0ms

Local error

Found 1 expressions with local error:

5.4b	(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×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

5.0ms

(log (+ 1.0 x))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(log (+ 1.0 x))

simplify4.0s

Counts

18 → 18

Iterations

Useful iterations: 5 (2.2s)

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

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

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))

rewrite97.0ms

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:

82.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
12.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series108.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
20.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify3.7s

Counts

77 → 77

Iterations

Useful iterations: 3 (2.1s)

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

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
3×	`associate-/l*`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

15.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify1.9s

Counts

51 → 51

Iterations

Useful iterations: 3 (841.0ms)

Iter	Nodes	Cost
0	107	626
1	232	587
2	666	541
3	2147	535
done	5000	535

prune196.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 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))
2.1b	(exp (log (* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

87.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
11.0ms	(/ -1/2 (/ (* 1.0 1.0) x))
116.0ms	(exp (log (* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))))

series210.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
19.0ms	(/ -1/2 (/ (* 1.0 1.0) x))
95.0ms	(exp (log (* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))))

simplify2.0s

Counts

96 → 96

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	174	1305
1	402	1202
2	1270	1092
done	5000	1076

prune357.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes76.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	2311×	body	1280	valid
607.0ms	1637×	body	640	valid
141.0ms	2707×	body	80	nan
139.0ms	815×	body	320	valid
104.0ms	2794×	body	80	valid
45.0ms	443×	body	160	valid