Details

sample13.0ms

Algorithm

intervals

Results

3.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	24	7
3	40	7
4	63	7
5	79	7
6	86	7
7	88	7
done	88	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

16.0ms

(* (+ a b) (+ a b))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* (+ a b) (+ a b))

simplify3.5s

Counts

43 → 43

Iterations

Useful iterations: 3 (453.0ms)

Iter	Nodes	Cost
0	62	516
1	187	453
2	849	407
3	4751	361
done	5000	361

prune63.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (+ a b))
0.0b	(* b (+ a b))
0.0b	(+ (* a (+ a b)) (* b (+ a b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

10.0ms	(* a (+ a b))
12.0ms	(* b (+ a b))
6.0ms	(+ (* a (+ a b)) (* b (+ a b)))

series76.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* a (+ a b))
26.0ms	(* b (+ a b))
22.0ms	(+ (* a (+ a b)) (* b (+ a b)))

simplify684.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	111	883
1	355	750
2	1707	680
done	5001	680

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* b (+ a (+ a b)))
0.0b	(+ a (+ a b))
0.0b	(+ (* a a) (* b (+ a (+ a b))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

28.0ms	(* b (+ a (+ a b)))
7.0ms	(+ a (+ a b))
5.0ms	(+ (* a a) (* b (+ a (+ a b))))

series81.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* b (+ a (+ a b)))
24.0ms	(+ a (+ a b))
23.0ms	(+ (* a a) (* b (+ a (+ a b))))

simplify469.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	86	674
1	250	629
2	1089	509
done	5000	509

prune101.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b)))) (* b (+ a b)))
0.0b	(- (* b b) (* a b))
0.3b	(* a (+ (pow a 3) (pow b 3)))
0.5b	(/ (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1` `associate-*r/`
5×	`flip3-+` `flip-+` `distribute-lft-out`
4×	`unpow-prod-down` `cube-prod`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `div-exp` `frac-add` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

61.0ms	(+ (/ (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b)))) (* b (+ a b)))
3.0ms	(- (* b b) (* a b))
51.0ms	(* a (+ (pow a 3) (pow b 3)))
31.0ms	(/ (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (/ (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b)))) (* b (+ a b)))
32.0ms	(- (* b b) (* a b))
51.0ms	(* a (+ (pow a 3) (pow b 3)))
96.0ms	(/ (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	167	2000
1	533	1714
2	2664	1532
done	5000	1532

prune236.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
done	11	11

end0.0ms

sample317.0ms

Algorithm

intervals

Results

104.0ms	8000×	pre	80	true
99.0ms	8000×	body	80	valid