Details

sample209.0ms

Algorithm

intervals

Results

52.0ms	370×	body	80	nan
48.0ms	372×	body	80	valid

simplify10.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3285
5	1552
4	656
3	234
2	83
1	37
0	20

prune110.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize117.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
7.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite757.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt`
12×	`log-prod` `associate--l+`
11×	`add-log-exp`
9×	`times-frac`
8×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

179.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
123.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
38.0ms	(- (* (- x 0.5) (log x)) x)
357.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series4.6s

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
2.8s	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
1.1s	(- (* (- x 0.5) (log x)) x)
682.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify4.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1484
1	513
0	207

prune2.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.8b

localize687.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
7.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
268.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.8s

Counts

4 → 12

Calls

4 calls:

576.0ms	(cbrt x)
806.0ms	(cbrt x)
728.0ms	(cbrt x)
662.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify7.9s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	2491
2	640
1	224
0	97

prune2.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize676.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(pow x 1/3)
7.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite404.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
6×	`cbrt-prod` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-/r` `associate-/l`
2×	`pow1/3` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `unpow1/3` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
17.0ms	(pow x 1/3)
320.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.6s

Counts

4 → 12

Calls

4 calls:

409.0ms	(cbrt x)
427.0ms	(cbrt x)
1.1s	(pow x 1/3)
673.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify7.0s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
3	2989
2	822
1	304
0	124

prune2.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize190.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(pow x 1/3)
7.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
6×	`cbrt-prod` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-/r` `associate-/l`
2×	`pow1/3` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `unpow1/3` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(pow x 1/3)
128.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.9s

Counts

4 → 12

Calls

4 calls:

1.2s	(cbrt x)
619.0ms	(cbrt x)
598.0ms	(pow x 1/3)
451.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify9.1s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
3	2989
2	822
1	304
0	124

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

regimes2.2s

Accuracy

93.1% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.0b

bsearch204.0ms

Steps

Iters	Range		Point
7	1.0175042839183147e+46	1.376751340775386e+48	2.255227432011573e+46

simplify22.0ms

Iterations

Iter	Nodes
done	56
1	56
0	42

end0.0ms

sample12.4s

Algorithm

intervals

Results

5.6s	11643×	body	80	valid
5.4s	11477×	body	80	nan