Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

362×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	38	9
3	81	9
4	102	9
5	145	9
6	281	9
7	739	9
8	2436	9
done	5000	9

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
18.0ms	(* (* x x) x)
50.0ms	(* 0.12900613773279798 (* (* x x) x))

series173.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
32.0ms	(* (* x x) x)
41.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (752.0ms)

Iter	Nodes	Cost
0	80	698
1	192	506
2	672	427
3	3173	425
done	5000	425

prune99.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

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`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

9.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
18.0ms	(* (* x x) x)
51.0ms	(* 0.12900613773279798 (* (* x x) x))

series170.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
32.0ms	(* (* x x) x)
40.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 3 (748.0ms)

Iter	Nodes	Cost
0	80	698
1	192	506
2	672	427
3	3173	425
done	5000	425

prune105.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

17.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
19.0ms	(* 0.12900613773279798 (* x x))

series125.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
26.0ms	(* 0.12900613773279798 (* x x))

simplify1.2s

Counts

49 → 49

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	77	495
1	181	467
2	533	411
3	2062	411
done	5000	411

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

19.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
18.0ms	(* (* 0.12900613773279798 x) x)

series123.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
26.0ms	(* (* 0.12900613773279798 x) x)

simplify1.7s

Counts

48 → 48

Iterations

Useful iterations: 3 (669.0ms)

Iter	Nodes	Cost
0	76	490
1	187	464
2	649	406
3	2499	404
done	5000	404

prune66.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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	7	9
1	10	9
done	10	9

end0.0ms

sample420.0ms

Algorithm

intervals

Results

253.0ms

11888×

body

valid