Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

371×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	39	9
3	85	9
4	129	9
5	188	9
6	356	9
7	1040	9
8	3304	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))

rewrite11.0ms

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)))
7.0ms	(* 0.12900613773279798 (pow x 3))

series153.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
40.0ms	(* 0.12900613773279798 (pow x 3))

simplify463.0ms

Counts

55 → 55

Iterations

Useful iterations: done (461.0ms)

Iter	Nodes	Cost
0	84	541
1	209	488
2	809	453
done	5000	451

prune110.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* x (* 0.12900613773279798 x)) x))
6.0ms	(* x (* 0.12900613773279798 x))
17.0ms	(* (* x (* 0.12900613773279798 x)) x)

series179.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(- (* 0.954929658551372 x) (* (* x (* 0.12900613773279798 x)) x))
32.0ms	(* x (* 0.12900613773279798 x))
40.0ms	(* (* x (* 0.12900613773279798 x)) x)

simplify623.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	92	753
1	242	664
2	1096	535
done	5001	535

prune124.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--`

Counts

2 → 40

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
10.0ms	(* (* 0.12900613773279798 x) (* x x))

series149.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
39.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify1.8s

Counts

46 → 46

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	72	599
1	206	457
2	797	392
3	3352	386
done	5000	385

prune77.0ms

Pruning

5 alts after pruning (3 fresh and 2 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)

series142.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
38.0ms	(* (pow x 3) 0.12900613773279798)

simplify4.8s

Counts

49 → 49

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	67	419
1	145	391
2	586	361
3	4723	361
done	5000	361

prune98.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
done	12	11

end0.0ms

sample378.0ms

Algorithm

intervals

Results

255.0ms

11855×

body

valid