Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify630.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	562
4	131
3	43
2	26
1	13
0	4

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`pow2` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

30.0ms	(+ (* x (* x x)) (* x x))
23.0ms	(* x (* x x))

series171.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(+ (* x (* x x)) (* x x))
67.0ms	(* x (* x x))

simplify1.1s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1417
1	192
0	57

prune91.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ 1 x) (* x x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

36.0ms

(* (+ 1 x) (* x x))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(* (+ 1 x) (* x x))

simplify650.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5001
2	901
1	138
0	43

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* (+ 1 (pow x 3)) (* x x)) (+ (* 1 1) (- (* x x) (* 1 x))))
0.0b	(* (+ 1 (pow x 3)) (* x x))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity`
7×	`pow1`
6×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
5×	`add-cube-cbrt`
4×	`associate-/r` `times-frac` `associate-l` `associate-l/`
3×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `flip-+` `distribute-lft-out`
2×	`associate-/r/` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-r` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

70.0ms	(/ (* (+ 1 (pow x 3)) (* x x)) (+ (* 1 1) (- (* x x) (* 1 x))))
45.0ms	(* (+ 1 (pow x 3)) (* x x))

series375.0ms

Counts

2 → 6

Calls

2 calls:

221.0ms	(/ (* (+ 1 (pow x 3)) (* x x)) (+ (* 1 1) (- (* x x) (* 1 x))))
154.0ms	(* (+ 1 (pow x 3)) (* x x))

simplify2.0s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	3014
1	377
0	101

prune291.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ (* x x) x) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-l`
4×	`*-un-lft-identity`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`distribute-lft1-in` `flip3-+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

22.0ms

(* (+ (* x x) x) x)

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(* (+ (* x x) x) x)

simplify631.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	1005
1	121
0	43

prune72.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
2	21
1	19
0	12

end0.0ms

sample638.0ms

Algorithm

intervals

Results

298.0ms	8000×	body	80	valid
128.0ms	8000×	pre	80	true