Details

sample18.0ms

Algorithm

intervals

Results

4.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify7.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:

40.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify33.0ms

Counts: 43 → 43

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* a a) (* b b))
0.2b	(* (- (* a a) (* b b)) (+ a b))
0.3b	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

8.0ms	(- (* a a) (* b b))
47.0ms	(* (- (* a a) (* b b)) (+ a b))
29.0ms	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))

series130.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* a a) (* b b))
41.0ms	(* (- (* a a) (* b b)) (+ a b))
51.0ms	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))

simplify67.0ms

Counts: 87 → 87

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
0.0b	(+ (* 2 (* a b)) (pow b 2))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

51.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
25.0ms	(+ (* 2 (* a b)) (pow b 2))

series75.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
49.0ms	(+ (* 2 (* a b)) (pow b 2))

simplify132.0ms

Counts: 31 → 31

prune75.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample520.0ms

Algorithm

intervals

Results

135.0ms	8000×	body	80	valid
126.0ms	8000×	pre	80	true