Details

sample22.0ms

Algorithm

intervals

Results

14.0ms

403×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	37	9
3	76	9
4	107	9
5	147	9
6	268	9
7	668	9
8	2187	9
done	5000	9

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
22.0ms	(* 0.12900613773279798 (* (* x x) x))
8.0ms	(* (* x x) x)

series161.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
37.0ms	(* 0.12900613773279798 (* (* x x) x))
31.0ms	(* (* x x) x)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (650.0ms)

Iter	Nodes	Cost
0	80	698
1	206	506
2	696	427
3	3003	425
done	5000	425

prune93.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
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-r` `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:

3.0ms	(- (* 0.954929658551372 x) (* (pow x 3) 0.12900613773279798))
7.0ms	(* (pow x 3) 0.12900613773279798)

series128.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(- (* 0.954929658551372 x) (* (pow x 3) 0.12900613773279798))
35.0ms	(* (pow x 3) 0.12900613773279798)

simplify2.5s

Counts

49 → 49

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	74	477
1	175	432
2	627	426
3	3547	406
done	5000	406

prune83.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

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))))
0.1b	(* 0.12900613773279798 (* x x))

rewrite18.0ms

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:

2.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
7.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
7.0ms	(* 0.12900613773279798 (* x x))

series172.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
92.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
26.0ms	(* 0.12900613773279798 (* x x))

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	85	673
1	201	636
2	613	564
3	2714	564
done	5001	564

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

2.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
7.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
7.0ms	(* (* 0.12900613773279798 x) x)

series169.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
89.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
26.0ms	(* (* 0.12900613773279798 x) x)

simplify2.4s

Counts

63 → 63

Iterations

Useful iterations: 3 (863.0ms)

Iter	Nodes	Cost
0	84	668
1	209	635
2	724	561
3	3213	557
done	5000	557

prune91.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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	7	9
1	10	9
done	10	9

end0.0ms

sample417.0ms

Algorithm

intervals

Results

288.0ms

12054×

body

valid