Details

sample150.0ms

Algorithm

intervals

Results

55.0ms	381×	body	80	valid
38.0ms	455×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3225
5	1468
4	651
3	234
2	83
1	37
0	20

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(* (- x 0.5) (log x))
4.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

15.0ms	(- (* (- x 0.5) (log x)) x)
56.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
19.0ms	(* (- x 0.5) (log x))
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

741.0ms	(- (* (- x 0.5) (log x)) x)
632.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
426.0ms	(* (- x 0.5) (log x))
117.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1471
1	525
0	216

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.3b

localize96.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
70.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt x)
297.0ms	(cbrt x)
292.0ms	(cbrt x)
128.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5010
3	2513
2	639
1	224
0	97

prune816.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize118.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.9b	(pow x 1/3)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
77.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.0ms	(pow x 1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt x)
654.0ms	(cbrt x)
134.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
269.0ms	(pow x 1/3)

simplify2.1s

Counts

81 → 81

Iterations

Iter	Nodes
done	5004
3	3046
2	823
1	303
0	124

prune738.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.3b	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))
4.9b	(pow x 1/3)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
42.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))
2.0ms	(pow x 1/3)

series973.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt x)
324.0ms	(cbrt x)
168.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))
239.0ms	(pow x 1/3)

simplify1.8s

Counts

81 → 81

Iterations

Iter	Nodes
done	5019
3	3142
2	890
1	330
0	138

prune738.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.8b

regimes951.0ms

Accuracy

88.6% (0.5b remaining)

Error of 2.1b against oracle of 1.6b and baseline of 5.9b

bsearch3.0ms

simplify25.0ms

Iterations

Iter	Nodes
done	68
1	68
0	49

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	11680×	body	80	nan
1.5s	11627×	body	80	valid