Details

sample138.0ms

Algorithm

intervals

Results

51.0ms	383×	body	80	valid
38.0ms	425×	body	80	nan

simplify4.5s

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: 3.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite261.0ms

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:

28.0ms	(- (* (- x 0.5) (log x)) x)
41.0ms	(* (- x 0.5) (log x))
99.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
88.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.7s

Counts

4 → 12

Calls

4 calls:

601.0ms	(- (* (- x 0.5) (log x)) x)
338.0ms	(* (- x 0.5) (log x))
649.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
122.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.9s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	213	1655
1	501	1589
2	1409	1469
3	4872	1419
done	5001	1419

prune530.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite87.0ms

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)
81.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series902.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt x)
232.0ms	(cbrt x)
253.0ms	(cbrt x)
130.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: 3 (478.0ms)

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

prune554.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.9b	(pow x 1/3)

rewrite91.0ms

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)
1.0ms	(cbrt x)
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.0ms	(pow x 1/3)

series881.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt x)
272.0ms	(cbrt x)
120.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
206.0ms	(pow x 1/3)

simplify1.2s

Counts

81 → 81

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	124	946
1	271	879
2	690	810
3	2147	777
done	5001	773

prune578.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.9b	(pow (/ 1 x) -1/3)
4.9b	(pow x 1/3)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
16×	`unpow-prod-down`
12×	`add-exp-log`
7×	`pow1`
6×	`pow-unpow` `add-cbrt-cube`
5×	`pow-exp`
4×	`pow-pow` `add-log-exp`
3×	`cbrt-prod` `div-exp` `associate-/r` `associate-/l`
2×	`pow-to-exp` `div-inv` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `unpow1/3` `pow1/3` `1-exp` `clear-num` `flip-+` `inv-pow`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt x)
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
12.0ms	(pow (/ 1 x) -1/3)
3.0ms	(pow x 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt x)
137.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
533.0ms	(pow (/ 1 x) -1/3)
286.0ms	(pow x 1/3)

simplify1.6s

Counts

102 → 102

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	192	1210
1	408	1082
2	932	1002
3	2677	969
done	5000	914

prune581.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.5b

regimes480.0ms

Accuracy

81.4% (0.4b remaining)

Error of 4.1b against oracle of 3.7b and baseline of 5.8b

bsearch140.0ms

Steps

Iters	Range		Point
8	6.529690815597948e+87	2.7769396479244238e+91	6.623427100152747e+87

simplify11.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	70
1	63	70
done	63	70

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.8s	12073×	body	80	nan
1.6s	11643×	body	80	valid