Details

sample87.0ms

Algorithm

intervals

Results

49.0ms	75×	body	1280	valid
14.0ms	51×	body	640	valid
5.0ms	33×	body	320	valid
3.0ms	87×	body	80	valid
2.0ms	98×	body	80	nan
1.0ms	10×	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: 39.4b

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b	(log (+ 1.0 x))

rewrite11.0ms

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:

10.0ms

(log (+ 1.0 x))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(log (+ 1.0 x))

simplify4.1s

Counts

18 → 18

Iterations

Useful iterations: 5 (2.1s)

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

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

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))

rewrite108.0ms

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:

80.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
26.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series123.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
20.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify3.6s

Counts

77 → 77

Iterations

Useful iterations: 3 (2.0s)

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

prune196.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

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))

rewrite37.0ms

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:

14.0ms	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
19.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series132.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
27.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify4.1s

Counts

66 → 66

Iterations

Useful iterations: 3 (2.2s)

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

prune274.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

186.0ms	(* (cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x)))) (cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x)))))
29.0ms	(cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
29.0ms	(cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
31.0ms	(cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))

series733.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x)))) (cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x)))))
163.0ms	(cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
156.0ms	(cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
223.0ms	(cbrt (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))

simplify2.6s

Counts

107 → 107

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	174	3036
1	409	2813
2	1133	2633
3	3748	2261
done	5000	2179

prune516.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes105.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	2222×	body	1280	valid
534.0ms	1755×	body	640	valid
126.0ms	831×	body	320	valid
86.0ms	2799×	body	80	valid
57.0ms	2715×	body	80	nan
35.0ms	393×	body	160	valid