Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify9.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

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:

61.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify42.0ms

Counts: 43 → 43

prune67.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite104.0ms

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:

20.0ms	(+ (* 2 (* a b)) (pow b 2))
82.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (* 2 (* a b)) (pow b 2))
35.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))

simplify129.0ms

Counts: 31 → 31

prune71.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 2) (* b (- b a)))
0.3b	(* (- a b) (+ (pow a 2) (* b (- b a))))
0.3b	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
0.3b	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

14.0ms	(+ (pow a 2) (* b (- b a)))
51.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
102.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
87.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (pow a 2) (* b (- b a)))
57.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
100.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
90.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

simplify42.0ms

Counts: 129 → 129

prune559.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify170.0ms

end0.0ms

sample966.0ms

Algorithm

intervals

Results

493.0ms	8000×	body	80	valid
163.0ms	8000×	pre	80	true