Details

sample18.0ms

Algorithm

intervals

Results

8.0ms	310×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify88.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

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)

rewrite89.0ms

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:

9.0ms	(- 2.0 (* x 3.0))
20.0ms	(* 3.0 (- 2.0 (* x 3.0)))
58.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series278.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- 2.0 (* x 3.0))
94.0ms	(* 3.0 (- 2.0 (* x 3.0)))
136.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify647.0ms

Counts: 65 → 65

prune136.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:

22.0ms

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

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

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

simplify1.3s

Counts: 27 → 27

prune98.0ms

Pruning

10 alts after pruning (9 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)
0.2b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite113.0ms

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:

10.0ms	(- 2.0 (* x 3.0))
36.0ms	(* (- 2.0 (* x 3.0)) x)
64.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series320.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- 2.0 (* x 3.0))
106.0ms	(* (- 2.0 (* x 3.0)) x)
156.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify574.0ms

Counts: 61 → 61

prune173.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

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

rewrite235.0ms

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:

58.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
85.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
40.0ms	(* (* x 3.0) (* x 3.0))
44.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))

series523.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
202.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
28.0ms	(* (* x 3.0) (* x 3.0))
178.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))

simplify1.3s

Counts: 125 → 125

prune212.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes31.0ms

Accuracy

2.3% (0.2b remaining)

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

bsearch0.0ms

simplify2.7s

end0.0ms

sample1.2s

Algorithm

intervals

Results

796.0ms	9836×	body	80	valid
78.0ms	281×	body	640	valid
51.0ms	347×	body	1280	valid
12.0ms	138×	body	320	valid
5.0ms	84×	body	160	valid