Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	321×	body	80	valid
1.0ms	17×	body	640	valid
1.0ms	10×	body	1280	valid
0.0ms	2×	body	160	valid

simplify8.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

5.0ms	(- 2.0 (* x 3.0))
26.0ms	(* 3.0 (- 2.0 (* x 3.0)))
28.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series194.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- 2.0 (* x 3.0))
64.0ms	(* 3.0 (- 2.0 (* x 3.0)))
93.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify36.0ms

Counts: 65 → 65

prune112.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.2b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

5.0ms	(- 2.0 (* x 3.0))
18.0ms	(* (- 2.0 (* x 3.0)) x)
32.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series204.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 2.0 (* x 3.0))
76.0ms	(* (- 2.0 (* x 3.0)) x)
91.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify31.0ms

Counts: 61 → 61

prune103.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* x 9.0))
0.1b	(* x (- 6.0 (* x 9.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

5.0ms	(- 6.0 (* x 9.0))
21.0ms	(* x (- 6.0 (* x 9.0)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 6.0 (* x 9.0))
75.0ms	(* x (- 6.0 (* x 9.0)))

simplify88.0ms

Counts: 42 → 42

prune71.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/` `add-log-exp`
5×	`associate-r`
4×	`flip3--` `flip--`
3×	`cbrt-prod` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

5.0ms	(- 2.0 (* x 3.0))
19.0ms	(* (- 2.0 (* x 3.0)) x)
92.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
36.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series460.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 2.0 (* x 3.0))
79.0ms	(* (- 2.0 (* x 3.0)) x)
191.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
152.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify49.0ms

Counts: 97 → 97

prune156.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample620.0ms

Algorithm

intervals

Results

356.0ms	9926×	body	80	valid
36.0ms	321×	body	1280	valid
26.0ms	295×	body	640	valid
8.0ms	129×	body	320	valid
3.0ms	56×	body	160	valid