Details

sample125.0ms

Algorithm

intervals

Results

52.0ms	397×	body	80	nan
28.0ms	393×	body	80	valid

simplify5.5s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize29.0ms

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))
8.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite268.0ms

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:

100.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
33.0ms	(- (* (- x 0.5) (log x)) x)
39.0ms	(* (- x 0.5) (log x))
91.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.7s

Counts

4 → 12

Calls

4 calls:

648.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
539.0ms	(- (* (- x 0.5) (log x)) x)
425.0ms	(* (- x 0.5) (log x))
124.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.6s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	213	1655
1	501	1589
2	1406	1469
3	4869	1419
done	5001	1419

prune599.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
8.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite62.0ms

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)
58.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series912.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt x)
217.0ms	(cbrt x)
282.0ms	(cbrt x)
129.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: 3 (507.0ms)

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

prune446.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
5.1b	(pow x 1/3)
8.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite69.0ms

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:

1.0ms	(cbrt x)
3.0ms	(cbrt x)
2.0ms	(pow x 1/3)
60.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series910.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt x)
254.0ms	(cbrt x)
264.0ms	(pow x 1/3)
127.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	124	946
1	272	879
2	690	810
3	2147	777
done	5001	773

prune593.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
5.2b	(pow (pow x (sqrt 1/3)) (sqrt 1/3))
5.9b	(pow x (sqrt 1/3))
8.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

2.0ms	(cbrt x)
10.0ms	(pow (pow x (sqrt 1/3)) (sqrt 1/3))
5.0ms	(pow x (sqrt 1/3))
85.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt x)
444.0ms	(pow (pow x (sqrt 1/3)) (sqrt 1/3))
249.0ms	(pow x (sqrt 1/3))
114.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.9s

Counts

98 → 98

Iterations

Useful iterations: 3 (840.0ms)

Iter	Nodes	Cost
0	170	1267
1	380	1171
2	1010	1034
3	3378	983
done	5001	983

prune715.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.0b

regimes678.0ms

Accuracy

87.9% (0.3b remaining)

Error of 4.3b against oracle of 4.0b and baseline of 6.3b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	117
1	64	92
done	64	92

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.4s	11821×	body	80	nan
1.6s	11640×	body	80	valid