Details

sample33.0ms

Algorithm

intervals

Results

16.0ms	318×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify8.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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)

rewrite91.0ms

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:

16.0ms	(- 2.0 (* x 3.0))
27.0ms	(* 3.0 (- 2.0 (* x 3.0)))
46.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series252.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- 2.0 (* x 3.0))
89.0ms	(* 3.0 (- 2.0 (* x 3.0)))
119.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify95.0ms

Counts: 65 → 65

prune107.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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))
23.0ms	(* (- 2.0 (* x 3.0)) x)
35.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series207.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 2.0 (* x 3.0))
76.0ms	(* (- 2.0 (* x 3.0)) x)
94.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify104.0ms

Counts: 61 → 61

prune152.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

23.0ms

(* x (- 6.0 (* x 9.0)))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(* x (- 6.0 (* x 9.0)))

simplify44.0ms

Counts: 27 → 27

prune75.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.4b	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
0.4b	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

5.0ms	(- 2.0 (* x 3.0))
19.0ms	(* (- 2.0 (* x 3.0)) x)
35.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
126.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- 2.0 (* x 3.0))
76.0ms	(* (- 2.0 (* x 3.0)) x)
182.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
255.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

simplify44.0ms

Counts: 93 → 93

prune196.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

end0.0ms

sample773.0ms

Algorithm

intervals

Results

376.0ms	9930×	body	80	valid
75.0ms	310×	body	1280	valid
68.0ms	264×	body	640	valid
12.0ms	138×	body	320	valid
3.0ms	57×	body	160	valid