Details

sample94.0ms

Algorithm

intervals

Results

38.0ms	364×	body	80	valid
23.0ms	352×	body	80	nan

simplify5.1s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(* (- x 0.5) (log x))
0.1b	(- (* (- x 0.5) (log x)) x)
6.9b	(/ (+ (* (- (* (+ 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:

97.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
46.0ms	(* (- x 0.5) (log x))
18.0ms	(- (* (- x 0.5) (log x)) x)
86.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.8s

Counts

4 → 12

Calls

4 calls:

649.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
375.0ms	(* (- x 0.5) (log x))
626.0ms	(- (* (- x 0.5) (log x)) x)
107.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify3.2s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	213	1655
1	501	1589
2	1404	1469
3	4840	1419
done	5000	1419

prune561.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite66.0ms

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)
62.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series869.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt x)
286.0ms	(cbrt x)
239.0ms	(cbrt x)
96.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify985.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (415.0ms)

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

prune514.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.5b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
5.9b	(pow x 2/3)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
9×	`times-frac`
7×	`add-exp-log`
6×	`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-+` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

2.0ms	(cbrt x)
3.0ms	(cbrt (cbrt x))
5.0ms	(pow x 2/3)
109.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt x)
328.0ms	(cbrt (cbrt x))
264.0ms	(pow x 2/3)
112.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.5s

Counts

83 → 83

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	146	989
1	315	937
2	774	861
3	2293	830
done	5001	826

prune793.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.5b

localize110.0ms

Local error

Found 4 expressions with local error:

5.3b	(pow (pow x 2/3) 2/3)
5.9b	(pow x 2/3)
5.9b	(pow x 2/3)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

5.0ms	(pow (pow x 2/3) 2/3)
3.0ms	(pow x 2/3)
3.0ms	(pow x 2/3)
108.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

398.0ms	(pow (pow x 2/3) 2/3)
248.0ms	(pow x 2/3)
307.0ms	(pow x 2/3)
122.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	138	1165
1	314	1092
2	790	982
3	2441	953
done	5001	933

prune834.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

regimes987.0ms

Accuracy

67.2% (0.7b remaining)

Error of 4.8b against oracle of 4.1b and baseline of 6.2b

bsearch279.0ms

Steps

Iters	Range		Point
10	2275520983134858.5	3.0214083472266395e+25	15435257873712398.0
3	-5.769090294528335e-15	-4.102324031004366e-15	-5.664917403058087e-15

simplify18.0ms

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	51	109
1	70	84
done	70	84

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.0s	11626×	body	80	nan
1.9s	11688×	body	80	valid