Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

411×

body

valid

simplify2.1s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

31.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify456.0ms

Counts: 28 → 28

prune46.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b	(* (* x x) 3.0)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

14.0ms	(* 2.0 (pow x 3))
23.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
24.0ms	(* (* x x) 3.0)

series200.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* 2.0 (pow x 3))
123.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
27.0ms	(* (* x x) 3.0)

simplify965.0ms

Counts: 74 → 74

prune150.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
0.2b	(* x (* x 3.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

14.0ms	(* 2.0 (pow x 3))
18.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
18.0ms	(* x (* x 3.0))

series223.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* 2.0 (pow x 3))
142.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
31.0ms	(* x (* x 3.0))

simplify867.0ms

Counts: 73 → 73

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
0.2b	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
0.2b	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
39×	`add-exp-log`
27×	`pow-prod-down`
24×	`prod-exp`
23×	`add-cbrt-cube`
22×	`cbrt-unprod`
19×	`associate-r`
17×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`unpow-prod-down` `pow-plus` `cube-prod` `pow-prod-up`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sum-log` `pow-sqr` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

4 → 105

Calls

4 calls:

14.0ms	(* 2.0 (pow x 3))
119.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
40.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
174.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series446.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 2.0 (pow x 3))
199.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
102.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
97.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.4s

Counts: 117 → 117

prune290.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

-70.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.4s

end0.0ms

sample669.0ms

Algorithm

intervals

Results

440.0ms

12113×

body

valid