Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

345×

body

valid

simplify49.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	38	7
4	44	7
done	44	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- 1.0 (* x y)))

rewrite28.0ms

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:

27.0ms

(* x (- 1.0 (* x y)))

series59.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* x (- 1.0 (* x y)))

simplify2.3s

Counts

27 → 27

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	51	273
1	122	270
2	332	236
3	1181	236
done	5000	236

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (- (* (pow x 2) y)))
8.3b	(* (pow x 2) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-l`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

14.0ms	(+ (* x 1.0) (- (* (pow x 2) y)))
13.0ms	(* (pow x 2) y)

series91.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* x 1.0) (- (* (pow x 2) y)))
36.0ms	(* (pow x 2) y)

simplify4.6s

Counts

48 → 48

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	79	473
1	200	424
2	721	371
3	3183	337
done	5001	335

prune133.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (pow (* (cbrt x) (cbrt x)) 2) (* (pow (cbrt x) 2) y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
32×	`prod-exp`
12×	`pow-exp`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `pow-to-exp` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `cbrt-unprod`
1×	`unpow-prod-down` `associate-r` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)
69.0ms	(* (pow (* (cbrt x) (cbrt x)) 2) (* (pow (cbrt x) 2) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt x)
306.0ms	(cbrt x)
321.0ms	(cbrt x)
77.0ms	(* (pow (* (cbrt x) (cbrt x)) 2) (* (pow (cbrt x) 2) y))

simplify3.1s

Counts

78 → 78

Iterations

Useful iterations: 3 (939.0ms)

Iter	Nodes	Cost
0	80	815
1	179	619
2	518	443
3	2610	374
done	5000	374

prune346.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* x y) (* x y))
0.3b	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
7.3b	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-sqr` `pow-prod-up`
3×	`times-frac` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`pow2` `frac-2neg` `flip3-+` `swap-sqr` `clear-num` `flip-+` `div-inv` `associate-/l*` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

28.0ms	(* (* x y) (* x y))
46.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
32.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (* x y) (* x y))
133.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
124.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	131	1465
1	368	1337
2	1506	1085
done	5000	941

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample904.0ms

Algorithm

intervals

Results

465.0ms

10666×

body

valid