Details

sample121.0ms

Algorithm

intervals

Results

64.0ms	114×	body	1280	valid
24.0ms	78×	body	640	valid
9.0ms	262×	body	80	nan
7.0ms	42×	body	320	valid
2.0ms	16×	body	160	valid
0.0ms	6×	body	80	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

41.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
41.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series458.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
412.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	147	1318
1	355	1247
2	881	1184
3	2180	1154
done	5001	1137

prune236.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune13.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
0.0b	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
0.1b	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
5.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
40×	`times-frac`
31×	`add-cube-cbrt`
26×	`log-prod`
14×	`cbrt-prod`
11×	`distribute-lft-out`
10×	`pow1` `add-exp-log`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube`
5×	`log-pow` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `flip3-+` `unpow3` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `log-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `pow-exp` `clear-num` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 139

Calls

4 calls:

28.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
6.0ms	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
13.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
163.0ms	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
156.0ms	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
165.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.1s

Counts

151 → 151

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	212	2347
1	516	2076
2	1377	1927
done	5000	1893

prune404.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps))) 3)
0.1b	(cbrt (pow (+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps))) 3))
5.6b	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
5.6b	(log (- 1.0 eps))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
31×	`add-sqr-sqrt` `log-prod`
23×	`pow1`
21×	`add-cube-cbrt`
20×	`cbrt-prod` `times-frac`
18×	`log-pow`
16×	`distribute-lft-out`
14×	`unpow-prod-down` `cube-prod`
10×	`difference-of-squares`
9×	`add-exp-log`
5×	`add-cbrt-cube` `distribute-lft-out--`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `pow-unpow` `rem-log-exp`
2×	`cube-mult` `cbrt-div` `flip3--` `flip3-+` `unpow3` `associate-/r/` `flip--` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `div-exp` `pow-exp` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 125

Calls

4 calls:

19.0ms	(pow (+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps))) 3)
15.0ms	(cbrt (pow (+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps))) 3))
12.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
10.0ms	(log (- 1.0 eps))

series769.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(pow (+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps))) 3)
292.0ms	(cbrt (pow (+ (log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps)))) (log (- 1.0 eps))) 3))
117.0ms	(log (/ (- 1.0 eps) (- (* 1.0 1.0) (* eps eps))))
61.0ms	(log (- 1.0 eps))

simplify1.4s

Counts

137 → 137

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	279	3388
1	676	3014
2	1836	2747
done	5000	2534

prune453.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes46.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
done	9	16

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.7s	3500×	body	1280	valid
929.0ms	2439×	body	640	valid
352.0ms	7984×	body	80	nan
248.0ms	1241×	body	320	valid
75.0ms	616×	body	160	valid
11.0ms	204×	body	80	valid