Details

sample115.0ms

Algorithm

intervals

Results

36.0ms	350×	body	80	valid
33.0ms	356×	body	80	nan

simplify2.3s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize33.0ms

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))
0.2b	(- (* (- x 0.5) (log x)) x)
5.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite180.0ms

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:

62.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
28.0ms	(* (- x 0.5) (log x))
17.0ms	(- (* (- x 0.5) (log x)) x)
69.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.0s

Counts

4 → 12

Calls

4 calls:

998.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
312.0ms	(* (- x 0.5) (log x))
573.0ms	(- (* (- x 0.5) (log x)) x)
115.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.1s

Counts

110 → 110

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	213	1655
1	521	1589
2	1917	1479
done	5000	1476

prune582.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.5b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite91.0ms

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)
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series912.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt x)
269.0ms	(cbrt x)
251.0ms	(cbrt x)
121.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify634.0ms

Counts

74 → 74

Iterations

Useful iterations: done (631.0ms)

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

prune569.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.5b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(pow x 1/3)
5.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite76.0ms

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)
5.0ms	(pow x 1/3)
63.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

325.0ms	(cbrt x)
333.0ms	(cbrt x)
297.0ms	(pow x 1/3)
128.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify801.0ms

Counts

81 → 81

Iterations

Useful iterations: done (797.0ms)

Iter	Nodes	Cost
0	124	946
1	316	881
2	1210	821
done	5000	800

prune568.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.5b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(pow x 1/3)
5.7b	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

rewrite61.0ms

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-/r/`
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)
5.0ms	(pow x 1/3)
50.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

series1.1s

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt x)
258.0ms	(cbrt x)
308.0ms	(pow x 1/3)
192.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

simplify662.0ms

Counts

81 → 81

Iterations

Useful iterations: done (660.0ms)

Iter	Nodes	Cost
0	138	966
1	346	905
2	1214	847
done	5001	830

prune712.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

regimes636.0ms

Accuracy

56.4% (1.3b remaining)

Error of 4.1b against oracle of 2.8b and baseline of 5.8b

bsearch600.0ms

Steps

Iters	Range		Point
8	4.1298003773971075e+50	7.562366705398605e+53	4.526966053901158e+50
11	-7.550203773762555e+144	-9.634846687179209e+123	-1.5983251639082133e+144

simplify17.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	62	111
1	87	111
done	87	111

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.3s	11896×	body	80	nan
1.5s	11614×	body	80	valid