Details

sample108.0ms

Algorithm

intervals

Results

23.0ms

382×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite65.0ms

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:

9.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
27.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
27.0ms	(* 0.12900613773279798 (* x x))

series293.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
154.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
51.0ms	(* 0.12900613773279798 (* x x))

simplify1.3s

Counts

64 → 64

Iterations

Useful iterations: 2 (288.0ms)

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

prune176.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite24.0ms

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:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
14.0ms	(* 0.12900613773279798 (pow x 3))

series224.0ms

Counts

2 → 6

Calls

2 calls:

160.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
63.0ms	(* 0.12900613773279798 (pow x 3))

simplify723.0ms

Counts

49 → 49

Iterations

Useful iterations: done (720.0ms)

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

prune127.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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)))
44.0ms	(* (* 0.12900613773279798 x) (* x x))

series197.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
70.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify4.5s

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

prune113.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
0.1b	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
0.2b	(* 0.12900613773279798 (* x x))
30.5b	(cbrt (pow x 3))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

15.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
89.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
22.0ms	(* 0.12900613773279798 (* x x))
3.0ms	(cbrt (pow x 3))

series333.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3))))
79.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
51.0ms	(* 0.12900613773279798 (* x x))
32.0ms	(cbrt (pow x 3))

simplify4.9s

Counts

97 → 97

Iterations

Useful iterations: 2 (940.0ms)

Iter	Nodes	Cost
0	124	1098
1	375	809
2	3987	667
done	5001	667

prune272.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
done	11	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

12084×

body

valid