Details

sample29.0ms

Algorithm

intervals

Results

12.0ms	334×	body	80	valid
3.0ms	18×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify118.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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

Counts

2 → 44

Calls

2 calls:

37.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
22.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
62.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify473.0ms

Counts: 50 → 50

prune87.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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))
19.0ms	(* x (- 6.0 (* 9.0 x)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- 6.0 (* 9.0 x))
80.0ms	(* x (- 6.0 (* 9.0 x)))

simplify1.2s

Counts: 42 → 42

prune94.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

32.0ms	(* (- 2.0 (* x 3.0)) x)
40.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series211.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* (- 2.0 (* x 3.0)) x)
124.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify511.0ms

Counts: 46 → 46

prune89.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize23.0ms

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)
0.2b	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.3b	(* (* x 3.0) (* x 3.0))

rewrite226.0ms

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:

45.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
91.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
53.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
33.0ms	(* (* x 3.0) (* x 3.0))

series549.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
228.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
184.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
38.0ms	(* (* x 3.0) (* x 3.0))

simplify1.4s

Counts: 125 → 125

prune272.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

4% (0.2b remaining)

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

bsearch0.0ms

simplify2.8s

end0.0ms

sample846.0ms

Algorithm

intervals

Results

462.0ms	9869×	body	80	valid
56.0ms	347×	body	1280	valid
54.0ms	267×	body	640	valid
12.0ms	121×	body	320	valid
4.0ms	62×	body	160	valid