Details

sample57.0ms

Algorithm

intervals

Results

10.0ms

390×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite121.0ms

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:

10.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
75.0ms	(* 0.12900613773279798 (* (* x x) x))
32.0ms	(* (* x x) x)

series251.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
49.0ms	(* 0.12900613773279798 (* (* x x) x))
55.0ms	(* (* x x) x)

simplify4.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	91	784
1	218	568
2	778	487
3	3751	485
done	5000	485

prune210.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

1.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
26.0ms	(* 0.12900613773279798 (pow x 3))

series197.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
57.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.8s

Counts

49 → 49

Iterations

Useful iterations: 2 (117.0ms)

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

prune149.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

3 → 54

Calls

3 calls:

1.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) x)))
70.0ms	(* (* 0.12900613773279798 (* x x)) x)
30.0ms	(* 0.12900613773279798 (* x x))

series270.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) x)))
69.0ms	(* (* 0.12900613773279798 (* x x)) x)
52.0ms	(* 0.12900613773279798 (* x x))

simplify3.1s

Counts

63 → 63

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	76	610
1	168	511
2	614	431
3	2244	431
done	5000	431

prune202.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

1.0ms	(fma 0.954929658551372 x (- (* (* (* x 0.12900613773279798) x) x)))
86.0ms	(* (* (* x 0.12900613773279798) x) x)
17.0ms	(* (* x 0.12900613773279798) x)

series220.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(fma 0.954929658551372 x (- (* (* (* x 0.12900613773279798) x) x)))
42.0ms	(* (* (* x 0.12900613773279798) x) x)
50.0ms	(* (* x 0.12900613773279798) x)

simplify3.2s

Counts

62 → 62

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	75	603
1	183	572
2	639	424
3	2016	424
done	5000	424

prune164.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample703.0ms

Algorithm

intervals

Results

423.0ms

12097×

body

valid