Details

sample137.0ms

Algorithm

intervals

Results

63.0ms	95×	body	1280	valid
33.0ms	90×	body	640	valid
10.0ms	46×	body	320	valid
9.0ms	230×	body	80	nan
2.0ms	16×	body	160	valid
1.0ms	9×	body	80	valid

simplify18.0ms

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite71.0ms

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×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

44.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
19.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series265.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
223.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify740.0ms

Counts

89 → 89

Iterations

Useful iterations: done (737.0ms)

Iter	Nodes	Cost
0	143	1284
1	349	1221
2	1325	1156
done	5002	1154

prune275.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
0.0b	(* 2.0 (pow eps 2))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

2 → 39

Calls

2 calls:

118.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
25.0ms	(* 2.0 (pow eps 2))

series153.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
55.0ms	(* 2.0 (pow eps 2))

simplify594.0ms

Counts

45 → 45

Iterations

Useful iterations: done (592.0ms)

Iter	Nodes	Cost
0	78	443
1	193	417
2	819	358
done	5000	356

prune233.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.7b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.7b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.7b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite642.0ms

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:

471.0ms	(* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
66.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
44.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
57.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series643.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
146.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
153.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
152.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify1.0s

Counts

107 → 107

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	165	3008
1	406	2832
2	1584	2690
done	5000	2289

prune512.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (* 2 3))
0.7b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.7b	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
28.1b	(pow (pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (* 2 3)) 1/3)

rewrite409.0ms

Algorithm

rewrite-expression-head

Rules

25×	`unpow-prod-down`
20×	`*-un-lft-identity`
16×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log`
5×	`pow1` `pow-exp`
4×	`pow-unpow` `cbrt-div` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
2×	`flip3-+` `flip-+`
1×	`unpow1/3`

Counts

4 → 76

Calls

4 calls:

102.0ms	(pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (* 2 3))
56.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
40.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
206.0ms	(pow (pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (* 2 3)) 1/3)

series708.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (* 2 3))
150.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
133.0ms	(cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
234.0ms	(pow (pow (cbrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) (* 2 3)) 1/3)

simplify979.0ms

Counts

88 → 88

Iterations

Useful iterations: done (974.0ms)

Iter	Nodes	Cost
0	196	2337
1	567	1980
2	2037	1899
done	5004	1784

prune419.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes42.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	17	20
done	17	20

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	3380×	body	1280	valid
935.0ms	2541×	body	640	valid
668.0ms	8027×	body	80	nan
338.0ms	1241×	body	320	valid
70.0ms	637×	body	160	valid
10.0ms	201×	body	80	valid