Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

403×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	39	9
3	84	9
4	126	9
5	172	9
6	296	9
7	706	9
8	2230	9
done	5001	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))

series139.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
37.0ms	(* 0.12900613773279798 (pow x 3))

simplify1.6s

Counts

55 → 55

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	84	541
1	199	488
2	623	453
3	3213	451
done	5001	450

prune244.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

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)

rewrite9.0ms

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)

series136.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
41.0ms	(* (pow x 3) 0.12900613773279798)

simplify2.0s

Counts

49 → 49

Iterations

Useful iterations: 3 (729.0ms)

Iter	Nodes	Cost
0	67	419
1	134	391
2	450	365
3	2384	361
done	5000	361

prune99.0ms

Pruning

3 alts after pruning (3 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)

rewrite34.0ms

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))
8.0ms	(* (* x x) x)

series179.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
49.0ms	(* 0.12900613773279798 (* (* x x) x))
34.0ms	(* (* x x) x)

simplify2.1s

Counts

78 → 78

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	91	784
1	228	568
2	806	489
3	3675	485
done	5001	484

prune112.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite32.0ms

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` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-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) (* (* (* 0.12900613773279798 x) x) x))
21.0ms	(* (* (* 0.12900613773279798 x) x) x)
7.0ms	(* (* 0.12900613773279798 x) x)

series156.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
38.0ms	(* (* (* 0.12900613773279798 x) x) x)
24.0ms	(* (* 0.12900613773279798 x) x)

simplify1.6s

Counts

69 → 69

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	91	754
1	243	663
2	1047	534
done	5000	529

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample367.0ms

Algorithm

intervals

Results

250.0ms

12054×

body

valid