Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

403×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	39	9
3	84	9
4	126	9
5	182	9
6	343	9
7	923	9
8	3081	9
done	5000	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite10.0ms

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` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
6.0ms	(* 0.12900613773279798 (pow x 3))

series129.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
38.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.0s

Counts

55 → 55

Iterations

Useful iterations: 3 (672.0ms)

Iter	Nodes	Cost
0	84	541
1	199	488
2	717	453
3	4420	450
done	5000	450

prune103.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-r` `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 (- (* (pow x 3) 0.12900613773279798)))
7.0ms	(* (pow x 3) 0.12900613773279798)

series127.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
37.0ms	(* (pow x 3) 0.12900613773279798)

simplify4.0s

Counts

49 → 49

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	67	419
1	134	391
2	529	361
3	4655	361
done	5000	361

prune100.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

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)

rewrite33.0ms

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:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
21.0ms	(* 0.12900613773279798 (* (* x x) x))
7.0ms	(* (* x x) x)

series167.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
39.0ms	(* 0.12900613773279798 (* (* x x) x))
30.0ms	(* (* x x) x)

simplify2.5s

Counts

78 → 78

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	91	784
1	228	568
2	823	489
3	3834	487
done	5000	486

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

0.0ms	(fma 0.954929658551372 x (- (* (* x x) (* x 0.12900613773279798))))
11.0ms	(* (* x x) (* x 0.12900613773279798))

series129.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(fma 0.954929658551372 x (- (* (* x x) (* x 0.12900613773279798))))
38.0ms	(* (* x x) (* x 0.12900613773279798))

simplify1.1s

Counts

40 → 40

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	55	455
1	136	361
2	479	289
3	1643	289
done	5000	289

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes25.0ms

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	11
1	15	11
2	22	11
3	27	11
done	27	11

end0.0ms

sample400.0ms

Algorithm

intervals

Results

271.0ms

12054×

body

valid