Details

sample108.0ms

Algorithm

intervals

Results

12.0ms

380×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	40	9
3	89	9
4	126	9
5	173	9
6	315	9
7	783	9
8	2564	9
done	5001	9

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.2b	(* 0.12900613773279798 (* (* x x) x))

rewrite118.0ms

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:

16.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
19.0ms	(* (* x x) x)
77.0ms	(* 0.12900613773279798 (* (* x x) x))

series262.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
40.0ms	(* (* x x) x)
88.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify3.9s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	91	784
1	219	568
2	779	487
3	3766	485
done	5000	485

prune201.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
0.2b	(* 0.12900613773279798 (pow x 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
14.0ms	(* 0.12900613773279798 (pow x 3))

series199.0ms

Counts

2 → 6

Calls

2 calls:

155.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
44.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.7s

Counts

49 → 49

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	69	425
1	139	392
2	394	354
3	1904	354
done	5000	354

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 x) (* x x))))
0.2b	(* (* 0.12900613773279798 x) (* x x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `associate-l` `*-commutative` `fma-udef`

Counts

2 → 34

Calls

2 calls:

1.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 x) (* x x))))
36.0ms	(* (* 0.12900613773279798 x) (* x x))

series205.0ms

Counts

2 → 6

Calls

2 calls:

155.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 x) (* x x))))
50.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify2.9s

Counts

40 → 40

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	56	455
1	127	361
2	468	289
3	1683	289
done	5000	289

prune110.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))))
0.1b	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
0.2b	(* 0.12900613773279798 (* x x))
30.1b	(cbrt (pow x 3))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`pow1` `add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `cube-prod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `*-commutative` `sqr-pow`
1×	`pow1/3` `rem-cbrt-cube` `fma-udef` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

0.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))))
116.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
18.0ms	(* 0.12900613773279798 (* x x))
3.0ms	(cbrt (pow x 3))

series341.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))))
84.0ms	(* (* 0.12900613773279798 (* x x)) (cbrt (pow x 3)))
53.0ms	(* 0.12900613773279798 (* x x))
20.0ms	(cbrt (pow x 3))

simplify2.2s

Counts

101 → 101

Iterations

Useful iterations: 2 (216.0ms)

Iter	Nodes	Cost
0	121	1032
1	254	705
2	947	615
done	5000	615

prune291.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	15	9
done	15	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

12003×

body

valid