Details

sample116.0ms

Algorithm

intervals

Results

22.0ms

389×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3204
8	1317
7	597
6	205
5	147
4	122
3	86
2	39
1	16
0	8

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `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:

14.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
51.0ms	(* 0.12900613773279798 (* (* x x) x))
23.0ms	(* (* x x) x)

series302.0ms

Counts

3 → 9

Calls

3 calls:

173.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
63.0ms	(* 0.12900613773279798 (* (* x x) x))
66.0ms	(* (* x x) x)

simplify3.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	4584
2	892
1	255
0	91

prune242.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

16.0ms	(- (* 0.954929658551372 x) (* x (* 0.12900613773279798 (* x x))))
67.0ms	(* x (* 0.12900613773279798 (* x x)))
13.0ms	(* 0.12900613773279798 (* x x))

series223.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(- (* 0.954929658551372 x) (* x (* 0.12900613773279798 (* x x))))
63.0ms	(* x (* 0.12900613773279798 (* x x)))
30.0ms	(* 0.12900613773279798 (* x x))

simplify3.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	4021
2	797
1	245
0	90

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 49

Calls

2 calls:

13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
15.0ms	(* 0.12900613773279798 (pow x 3))

series281.0ms

Counts

2 → 6

Calls

2 calls:

204.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
77.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.7s

Counts

55 → 55

Iterations

Iter	Nodes
done	5008
3	2924
2	659
1	211
0	84

prune223.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* x (* (* 0.12900613773279798 x) x)))
44.0ms	(* x (* (* 0.12900613773279798 x) x))
13.0ms	(* (* 0.12900613773279798 x) x)

series243.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(- (* 0.954929658551372 x) (* x (* (* 0.12900613773279798 x) x)))
76.0ms	(* x (* (* 0.12900613773279798 x) x))
44.0ms	(* (* 0.12900613773279798 x) x)

simplify4.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	4776
2	980
1	248
0	90

prune261.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

856.0ms

11982×

body

valid