Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

406×

body

valid

simplify192.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	40	4
2	88	4
3	142	4
4	202	4
5	400	4
6	1349	4
7	4708	4
8	5001	4
done	5001	4

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
18.0ms	(* (* x x) x)
51.0ms	(* 0.12900613773279798 (* (* x x) x))

series174.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
32.0ms	(* (* x x) x)
41.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify39.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	241	310
1	969	249
2	5002	241
done	5002	241

prune118.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

0.2b

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

0.2b

(* (pow x 3) (sqrt 0.12900613773279798))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-exp-log` `associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `sqrt-prod` `add-cbrt-cube`
8×	`unswap-sqr`
7×	`associate-r`
5×	`pow1` `unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-prod-down` `flip--`

Counts

3 → 80

Calls

3 calls:

11.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

28.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

16.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

series310.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

94.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

63.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

simplify55.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	264	550
1	1167	467
2	5001	443
done	5001	443

prune177.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (pow x 3) (sqrt 0.12900613773279798))) (cbrt (* (pow x 3) (sqrt 0.12900613773279798))))
31.7b	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
31.7b	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
31.7b	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

20.0ms	(* (cbrt (* (pow x 3) (sqrt 0.12900613773279798))) (cbrt (* (pow x 3) (sqrt 0.12900613773279798))))
6.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
6.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
7.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))

series1.2s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt (* (pow x 3) (sqrt 0.12900613773279798))) (cbrt (* (pow x 3) (sqrt 0.12900613773279798))))
297.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
285.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
291.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))

simplify87.0ms

Counts

78 → 78

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	128	509
1	533	431
2	2662	394
3	5001	388
done	5001	388

prune220.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series776.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt x) (cbrt x))
184.0ms	(cbrt x)
188.0ms	(cbrt x)
193.0ms	(cbrt x)

simplify88.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune222.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5
done	11	5

end0.0ms

sample421.0ms

Algorithm

intervals

Results

261.0ms

12084×

body

valid