Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

403×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	34	9
3	79	9
4	122	9
5	129	9
6	146	9
7	204	9
8	373	9
9	1062	9
10	3345	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

15.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify493.0ms

Counts

36 → 36

Iterations

Useful iterations: done (491.0ms)

Iter	Nodes	Cost
0	77	533
1	215	518
2	945	442
done	5000	430

prune56.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 72

Calls

3 calls:

7.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
6.0ms	(* 2.0 (pow x 3))
10.0ms	(* (* x x) 3.0)

series156.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
38.0ms	(* 2.0 (pow x 3))
24.0ms	(* (* x x) 3.0)

simplify882.0ms

Counts

81 → 81

Iterations

Useful iterations: done (880.0ms)

Iter	Nodes	Cost
0	116	768
1	314	668
2	1482	613
done	5000	611

prune155.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite20.0ms

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×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 71

Calls

3 calls:

6.0ms	(* 2.0 (pow x 3))
6.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
6.0ms	(* x (* x 3.0))

series155.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 2.0 (pow x 3))
93.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
27.0ms	(* x (* x 3.0))

simplify701.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	111	757
1	309	668
2	1386	608
done	5000	608

prune133.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

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×	`expm1-log1p-u` `unpow-prod-down` `pow-plus` `cube-prod` `pow-prod-up` `log1p-expm1-u`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sum-log` `pow-sqr` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

4 → 114

Calls

4 calls:

55.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
8.0ms	(* 2.0 (pow x 3))
15.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
58.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series347.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
37.0ms	(* 2.0 (pow x 3))
68.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
90.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.2s

Counts

126 → 126

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	156	1632
1	433	1359
2	2185	950
done	5001	950

prune219.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes21.0ms

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	10	12
1	18	12
2	20	12
done	20	12

end0.0ms

sample347.0ms

Algorithm

intervals

Results

222.0ms

12071×

body

valid