Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

382×

body

valid

simplify2.6s

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	157	9
6	314	9
7	886	9
8	3011	9
done	5000	9

prune137.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)

rewrite34.0ms

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)))
21.0ms	(* 0.12900613773279798 (* (* x x) x))
8.0ms	(* (* x x) x)

series166.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
38.0ms	(* 0.12900613773279798 (* (* x x) x))
31.0ms	(* (* x x) x)

simplify1.7s

Counts

70 → 70

Iterations

Useful iterations: 3 (485.0ms)

Iter	Nodes	Cost
0	80	698
1	206	506
2	712	427
3	3136	425
done	5000	425

prune97.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (pow (* (pow x 3) 0.12900613773279798) 1))
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 (* (pow x 3) 0.12900613773279798) 1))
7.0ms	(* (pow x 3) 0.12900613773279798)

series140.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(- (* 0.954929658551372 x) (pow (* (pow x 3) 0.12900613773279798) 1))
37.0ms	(* (pow x 3) 0.12900613773279798)

simplify367.0ms

Counts

49 → 49

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	77	517
1	178	432
2	735	408
done	5000	408

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

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

series124.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
29.0ms	(* 0.12900613773279798 (* x x))

simplify1.8s

Counts

49 → 49

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	77	495
1	183	467
2	680	411
3	3629	411
done	5001	411

prune77.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (* (cbrt x) (cbrt x)) 3)
0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`cbrt-prod`
19×	`pow1`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1/3`
9×	`add-exp-log` `pow-pow`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`add-cbrt-cube`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow2` `pow-plus` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `*-commutative` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

4.0ms	(pow (* (cbrt x) (cbrt x)) 3)
6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series810.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(pow (* (cbrt x) (cbrt x)) 3)
200.0ms	(* (cbrt x) (cbrt x))
178.0ms	(cbrt x)
179.0ms	(cbrt x)

simplify571.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	91	697
1	180	448
2	961	429
done	5000	429

prune226.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	14	9
done	14	9

end0.0ms

sample413.0ms

Algorithm

intervals

Results

276.0ms

12023×

body

valid