Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

362×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	88	9
4	140	9
5	147	9
6	164	9
7	211	9
8	355	9
9	829	9
10	2619	9
done	5000	9

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)))

rewrite37.0ms

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:

35.0ms

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

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify2.2s

Counts

36 → 36

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	77	533
1	207	518
2	681	442
3	2676	421
done	5002	397

prune65.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `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`
4×	`unpow-prod-down` `cube-prod` `associate-l` `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:

17.0ms	(* 2.0 (pow x 3))
20.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
20.0ms	(* (* x 3.0) x)

series185.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* 2.0 (pow x 3))
112.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
29.0ms	(* (* x 3.0) x)

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	113	760
1	289	673
2	1064	609
done	5000	573

prune178.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`associate-l` `prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
10×	`sqrt-prod`
8×	`add-log-exp` `unswap-sqr`
7×	`cbrt-unprod`
5×	`unpow-prod-down` `cube-prod`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`*-commutative` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `sum-log`
1×	`+-commutative` `neg-sub0` `cube-mult` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `flip-+`

Counts

4 → 102

Calls

4 calls:

21.0ms	(+ (* (* x 3.0) x) (- (* (sqrt 2.0) (* (sqrt 2.0) (pow x 3)))))
22.0ms	(* (* x 3.0) x)
18.0ms	(* (sqrt 2.0) (pow x 3))
33.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (pow x 3)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (* (* x 3.0) x) (- (* (sqrt 2.0) (* (sqrt 2.0) (pow x 3)))))
30.0ms	(* (* x 3.0) x)
76.0ms	(* (sqrt 2.0) (pow x 3))
108.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (pow x 3)))

simplify1.6s

Counts

114 → 114

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	137	1304
1	350	988
2	1391	902
done	5001	866

prune265.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x))
3.8b	(/ (* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x)) (+ 3.0 (* x 2.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`pow1`
8×	`pow-prod-down`
5×	`cbrt-undiv` `div-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/r*`
2×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `flip3-+` `associate-r` `associate-l` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

2 → 55

Calls

2 calls:

30.0ms	(* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x))
42.0ms	(/ (* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x)) (+ 3.0 (* x 2.0)))

series446.0ms

Counts

2 → 6

Calls

2 calls:

202.0ms	(* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x))
244.0ms	(/ (* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x)) (+ 3.0 (* x 2.0)))

simplify889.0ms

Counts

61 → 61

Iterations

Useful iterations: done (886.0ms)

Iter	Nodes	Cost
0	111	1501
1	309	1390
2	1460	1062
done	5000	880

prune122.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	20	12
done	20	12

end0.0ms

sample417.0ms

Algorithm

intervals

Results

236.0ms

11898×

body

valid