Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	324×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	3×	body	160	valid

simplify93.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

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)

rewrite96.0ms

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:

6.0ms	(- 2.0 (* x 3.0))
18.0ms	(* 3.0 (- 2.0 (* x 3.0)))
71.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series254.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 2.0 (* x 3.0))
78.0ms	(* 3.0 (- 2.0 (* x 3.0)))
130.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify662.0ms

Counts: 65 → 65

prune195.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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 (* 9.0 x))
26.0ms	(* x (- 6.0 (* 9.0 x)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- 6.0 (* 9.0 x))
105.0ms	(* x (- 6.0 (* 9.0 x)))

simplify1.3s

Counts: 42 → 42

prune113.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite88.0ms

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:

9.0ms	(- 2.0 (* x 3.0))
26.0ms	(* (- 2.0 (* x 3.0)) x)
52.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series264.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- 2.0 (* x 3.0))
107.0ms	(* (- 2.0 (* x 3.0)) x)
105.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify587.0ms

Counts: 61 → 61

prune115.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.1b	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.4b	(* (* x 3.0) (* x 3.0))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
32×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
15×	`add-sqr-sqrt`
14×	`prod-exp` `cbrt-unprod`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`times-frac`
4×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`associate-/r` `-commutative`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `pow-plus` `flip--` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `swap-sqr` `associate-l/` `clear-num` `associate-/l` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

65.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
89.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
40.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
53.0ms	(* (* x 3.0) (* x 3.0))

series665.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
268.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
199.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
50.0ms	(* (* x 3.0) (* x 3.0))

simplify1.4s

Counts: 125 → 125

prune233.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

-0.4% (0.2b remaining)

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

bsearch0.0ms

simplify2.6s

end0.0ms

sample771.0ms

Algorithm

intervals

Results

386.0ms	9948×	body	80	valid
74.0ms	325×	body	1280	valid
40.0ms	84×	body	160	valid
29.0ms	266×	body	640	valid
10.0ms	121×	body	320	valid