Details

sample82.0ms

Algorithm

intervals

Results

27.0ms	379×	body	80	valid
27.0ms	418×	body	80	nan

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	84	24
3	237	24
4	510	24
5	937	24
6	1858	24
7	3759	24
done	5000	24

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize25.0ms

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))
6.5b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite253.0ms

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:

18.0ms	(- (* (- x 0.5) (log x)) x)
100.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
48.0ms	(* (- x 0.5) (log x))
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.7s

Counts

4 → 12

Calls

4 calls:

585.0ms	(- (* (- x 0.5) (log x)) x)
631.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
388.0ms	(* (- x 0.5) (log x))
138.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify3.0s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	213	1655
1	501	1589
2	1405	1469
3	4873	1419
done	5000	1419

prune738.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(* (- x 0.5) (log x))
0.3b	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
6.5b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

71.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
49.0ms	(* (- x 0.5) (log x))
59.0ms	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
81.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
939.0ms	(* (- x 0.5) (log x))
729.0ms	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
163.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

115 → 115

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	256	1891
1	663	1825
2	2211	1666
done	5001	1664

prune665.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.3b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.5b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite74.0ms

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)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
67.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt x)
362.0ms	(cbrt x)
296.0ms	(cbrt x)
111.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: 3 (449.0ms)

Iter	Nodes	Cost
0	97	893
1	214	870
2	590	790
3	1830	761
done	5001	761

prune580.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)
6.5b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod` `associate-+l+`
12×	`associate-+r+`
9×	`times-frac`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `flip3--` `frac-add` `flip--`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

57.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
92.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.1s

Counts

4 → 12

Calls

4 calls:

1.3s	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
285.0ms	(cbrt x)
299.0ms	(cbrt x)
146.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

115 → 115

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	238	2093
1	627	1751
2	2122	1568
done	5000	1523

prune839.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.3b

regimes644.0ms

Accuracy

84.5% (0.3b remaining)

Error of 4.3b against oracle of 4.0b and baseline of 6.0b

bsearch96.0ms

Steps

Iters	Range		Point
5	1.4596706504407988e+49	4.5083813150567236e+49	3.3424217831163035e+49

simplify28.0ms

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	62
1	59	60
2	78	59
3	96	59
4	106	59
done	106	59

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.5s	11564×	body	80	valid
1.3s	11398×	body	80	nan