Details

sample120.0ms

Algorithm

intervals

Results

49.0ms	384×	body	80	nan
31.0ms	379×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	84	24
3	244	24
4	860	24
5	4090	24
done	5001	24

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
5.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite212.0ms

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×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`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` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

68.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
19.0ms	(- (* (- x 0.5) (log x)) x)
28.0ms	(* (- x 0.5) (log x))
93.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

646.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
542.0ms	(- (* (- x 0.5) (log x)) x)
299.0ms	(* (- x 0.5) (log x))
127.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.0s

Counts

110 → 110

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	213	1655
1	521	1589
2	1910	1479
done	5001	1476

prune674.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite82.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
78.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series736.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt x)
210.0ms	(cbrt x)
209.0ms	(cbrt x)
111.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify503.0ms

Counts

74 → 74

Iterations

Useful iterations: done (500.0ms)

Iter	Nodes	Cost
0	97	893
1	224	870
2	902	792
done	5001	761

prune419.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(pow (/ 1 x) -1/3)
5.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0ms	(cbrt x)
1.0ms	(cbrt x)
8.0ms	(pow (/ 1 x) -1/3)
73.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series868.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt x)
227.0ms	(cbrt x)
272.0ms	(pow (/ 1 x) -1/3)
129.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify777.0ms

Counts

95 → 95

Iterations

Useful iterations: done (774.0ms)

Iter	Nodes	Cost
0	168	1157
1	452	1075
2	1585	987
done	5000	967

prune701.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.3b

localize75.0ms

Local error

Found 4 expressions with local error:

3.6b	(pow (/ 1 (cbrt x)) -1/3)
4.5b	(pow (/ 1 (pow x 2/3)) -1/3)
5.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
6.0b	(pow x 2/3)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

59×	`unpow-prod-down`
48×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`add-exp-log`
18×	`pow-exp`
9×	`cbrt-prod` `pow-unpow` `div-exp`
8×	`pow1` `pow-pow`
6×	`pow-to-exp` `add-cbrt-cube` `sqr-pow`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow-flip` `associate-/r` `div-inv` `associate-/l`
2×	`associate-/l/` `inv-pow`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `flip-+`

Counts

4 → 138

Calls

4 calls:

18.0ms	(pow (/ 1 (cbrt x)) -1/3)
15.0ms	(pow (/ 1 (pow x 2/3)) -1/3)
72.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
3.0ms	(pow x 2/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

461.0ms	(pow (/ 1 (cbrt x)) -1/3)
346.0ms	(pow (/ 1 (pow x 2/3)) -1/3)
117.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
265.0ms	(pow x 2/3)

simplify1.3s

Counts

150 → 150

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	319	2047
1	982	1785
2	3236	1664
done	5000	1651

prune776.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.3b

regimes639.0ms

Accuracy

88.7% (0.2b remaining)

Error of 4.2b against oracle of 4.0b and baseline of 6.2b

bsearch459.0ms

Steps

Iters	Range		Point
8	1.5223227897146593e+29	4.125464154067712e+31	5.4133680063122895e+29

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	90
1	68	90
done	68	90

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.6s	11664×	body	80	valid
1.2s	11674×	body	80	nan