Details

sample116.0ms

Algorithm

intervals

Results

24.0ms

388×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	38	9
3	81	9
4	102	9
5	145	9
6	281	9
7	739	9
8	2436	9
done	5000	9

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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)

rewrite142.0ms

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:

17.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
94.0ms	(* 0.12900613773279798 (* (* x x) x))
28.0ms	(* (* x x) x)

series314.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
79.0ms	(* 0.12900613773279798 (* (* x x) x))
59.0ms	(* (* x x) x)

simplify3.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	80	698
1	191	506
2	676	427
3	3122	425
done	5000	425

prune137.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `sum-log` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 46

Calls

2 calls:

14.0ms	(+ (* 0.954929658551372 x) (- (* (pow x 3) 0.12900613773279798)))
13.0ms	(* (pow x 3) 0.12900613773279798)

series190.0ms

Counts

2 → 6

Calls

2 calls:

132.0ms	(+ (* 0.954929658551372 x) (- (* (pow x 3) 0.12900613773279798)))
58.0ms	(* (pow x 3) 0.12900613773279798)

simplify5.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	80	501
1	204	443
2	826	411
3	4390	407
done	5002	407

prune189.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.2b

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

0.2b

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-exp-log`
13×	`associate-l`
12×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `sqrt-prod` `add-cbrt-cube`
8×	`unswap-sqr`
7×	`add-log-exp`
5×	`pow1` `unpow-prod-down` `cube-prod`
4×	`cbrt-unprod`
3×	`sqr-pow`
2×	`pow-to-exp` `pow-exp` `sum-log` `*-commutative`
1×	`+-commutative` `neg-sub0` `cube-mult` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `pow-prod-down` `neg-log` `flip-+`

Counts

3 → 75

Calls

3 calls:

19.0ms

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

73.0ms

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

35.0ms

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

series415.0ms

Counts

3 → 9

Calls

3 calls:

179.0ms

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

135.0ms

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

102.0ms

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

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	106	1024
1	276	747
2	1127	693
done	5001	689

prune237.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.12900613773279798 (* x x))
0.3b	(* (* 0.12900613773279798 0.12900613773279798) (pow x 6))
0.3b	(* (* 0.954929658551372 x) (* 0.954929658551372 x))
28.6b	(/ (- (* (* 0.954929658551372 x) (* 0.954929658551372 x)) (* (* 0.12900613773279798 0.12900613773279798) (pow x 6))) (* (+ (* 0.12900613773279798 (* x x)) 0.954929658551372) x))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
39×	`add-exp-log`
31×	`add-cbrt-cube`
21×	`prod-exp`
20×	`pow-prod-down`
15×	`cbrt-unprod`
12×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`unpow-prod-down` `pow-sqr` `pow-prod-up` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `pow-to-exp` `pow-plus` `div-exp` `associate-*l/` `pow-exp` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`pow2` `flip3--` `frac-2neg` `flip3-+` `div-sub` `swap-sqr` `clear-num` `associate-/r*` `flip--` `flip-+` `div-inv`

Counts

4 → 106

Calls

4 calls:

20.0ms	(* 0.12900613773279798 (* x x))
35.0ms	(* (* 0.12900613773279798 0.12900613773279798) (pow x 6))
45.0ms	(* (* 0.954929658551372 x) (* 0.954929658551372 x))
160.0ms	(/ (- (* (* 0.954929658551372 x) (* 0.954929658551372 x)) (* (* 0.12900613773279798 0.12900613773279798) (pow x 6))) (* (+ (* 0.12900613773279798 (* x x)) 0.954929658551372) x))

series453.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 0.12900613773279798 (* x x))
62.0ms	(* (* 0.12900613773279798 0.12900613773279798) (pow x 6))
28.0ms	(* (* 0.954929658551372 x) (* 0.954929658551372 x))
337.0ms	(/ (- (* (* 0.954929658551372 x) (* 0.954929658551372 x)) (* (* 0.12900613773279798 0.12900613773279798) (pow x 6))) (* (+ (* 0.12900613773279798 (* x x)) 0.954929658551372) x))

simplify2.1s

Counts

118 → 118

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	177	1728
1	488	1585
2	2144	1335
done	5000	1302

prune321.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	16	10
2	18	10
done	18	10

end0.0ms

sample868.0ms

Algorithm

intervals

Results

668.0ms

11993×

body

valid