Details

sample93.0ms

Algorithm

intervals

Results

23.0ms

366×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	38	9
3	81	9
4	133	9
5	214	9
6	441	9
7	1200	9
done	5000	9

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.0b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 55

Calls

3 calls:

6.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
31.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
38.0ms	(* 0.12900613773279798 (* x x))

series283.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
164.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
49.0ms	(* 0.12900613773279798 (* x x))

simplify1.3s

Counts

64 → 64

Iterations

Useful iterations: 2 (334.0ms)

Iter	Nodes	Cost
0	85	673
1	254	654
2	1553	566
done	5002	566

prune201.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 43

Calls

2 calls:

15.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
13.0ms	(* 0.12900613773279798 (pow x 3))

series187.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
61.0ms	(* 0.12900613773279798 (pow x 3))

simplify647.0ms

Counts

49 → 49

Iterations

Useful iterations: done (645.0ms)

Iter	Nodes	Cost
0	75	483
1	197	433
2	799	401
done	5000	399

prune120.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
0.2b	(* (* 0.12900613773279798 x) (* x x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 34

Calls

2 calls:

9.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
32.0ms	(* (* 0.12900613773279798 x) (* x x))

series172.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
41.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify4.7s

Counts

40 → 40

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	63	525
1	179	402
2	782	336
3	4825	334
done	5000	334

prune117.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.12900613773279798 (pow x 4))
0.1b	(* 0.12900613773279798 (* 0.12900613773279798 (pow x 4)))
0.2b	(* 0.12900613773279798 (* x x))
5.6b	(/ (- (* 0.954929658551372 0.954929658551372) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 4)))) (+ (* 0.12900613773279798 (* x x)) 0.954929658551372))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
23×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`prod-exp`
11×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
7×	`cbrt-unprod`
4×	`unpow-prod-down` `pow-prod-down` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 95

Calls

4 calls:

20.0ms	(* 0.12900613773279798 (pow x 4))
20.0ms	(* 0.12900613773279798 (* 0.12900613773279798 (pow x 4)))
26.0ms	(* 0.12900613773279798 (* x x))
54.0ms	(/ (- (* 0.954929658551372 0.954929658551372) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 4)))) (+ (* 0.12900613773279798 (* x x)) 0.954929658551372))

series450.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 0.12900613773279798 (pow x 4))
65.0ms	(* 0.12900613773279798 (* 0.12900613773279798 (pow x 4)))
37.0ms	(* 0.12900613773279798 (* x x))
279.0ms	(/ (- (* 0.954929658551372 0.954929658551372) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 4)))) (+ (* 0.12900613773279798 (* x x)) 0.954929658551372))

simplify2.0s

Counts

107 → 107

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	159	1588
1	437	1508
2	2629	1378
done	5001	1367

prune455.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

996.0ms

11918×

body

valid