Details

sample234.0ms

Algorithm

intervals

Results

96.0ms

385×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	40	9
3	89	9
4	150	9
5	236	9
6	471	9
7	1245	9
done	5000	9

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

7.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
19.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
20.0ms	(* 0.12900613773279798 (* x x))

series276.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
144.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
52.0ms	(* 0.12900613773279798 (* x x))

simplify2.2s

Counts

82 → 82

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	109	964
1	309	944
2	2099	835
done	5004	810

prune245.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `expm1-log1p-u` `sum-log` `log1p-expm1-u` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+ (* x 0.954929658551372) (- (* (pow x 3) 0.12900613773279798)))
18.0ms	(* (pow x 3) 0.12900613773279798)

series244.0ms

Counts

2 → 6

Calls

2 calls:

183.0ms	(+ (* x 0.954929658551372) (- (* (pow x 3) 0.12900613773279798)))
61.0ms	(* (pow x 3) 0.12900613773279798)

simplify1.1s

Counts

57 → 57

Iterations

Useful iterations: 2 (229.0ms)

Iter	Nodes	Cost
0	85	535
1	230	474
2	1219	440
done	5000	440

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite117.0ms

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:

21.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
68.0ms	(* 0.12900613773279798 (* (* x x) x))
23.0ms	(* (* x x) x)

series211.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
51.0ms	(* 0.12900613773279798 (* (* x x) x))
58.0ms	(* (* x x) x)

simplify2.4s

Counts

78 → 78

Iterations

Useful iterations: 2 (464.0ms)

Iter	Nodes	Cost
0	91	784
1	274	570
2	1892	489
done	5001	489

prune168.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

13.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
36.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
18.0ms	(* (* 0.12900613773279798 x) x)

series273.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
134.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
55.0ms	(* (* 0.12900613773279798 x) x)

simplify1.7s

Counts

81 → 81

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	108	959
1	281	925
2	1713	816
done	5001	804

prune210.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes36.0ms

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	9	10
1	16	10
2	18	10
done	18	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

12085×

body

valid