Details

sample21.0ms

Algorithm

intervals

Results

5.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify94.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:

50.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify452.0ms

Counts: 43 → 43

prune52.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

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:

19.0ms	(* b (+ a b))
33.0ms	(* a (+ a b))
17.0ms	(+ (* a (+ a b)) (* b (+ a b)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* b (+ a b))
36.0ms	(* a (+ a b))
33.0ms	(+ (* a (+ a b)) (* b (+ a b)))

simplify942.0ms

Counts: 75 → 75

prune139.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite82.0ms

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:

19.0ms	(+ (* 2 (* a b)) (pow b 2))
62.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* 2 (* a b)) (pow b 2))
26.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))

simplify2.0s

Counts: 31 → 31

prune109.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* b (- (* a a) (* b b)))
0.3b	(* (- a b) (+ (pow a 2) (* b (- b a))))
0.4b	(/ (+ (* (* a (+ (pow a 3) (pow b 3))) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
0.4b	(* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))

rewrite588.0ms

Algorithm

rewrite-expression-head

Rules

142×	`associate-*r/`
76×	`frac-times`
66×	`associate-/l/`
64×	`frac-add`
58×	`flip3--` `flip3-+` `flip--` `flip-+`
38×	`associate-*l/`
18×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity`
11×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `associate-l`
8×	`associate-r` `associate-/r/`
6×	`sub-neg` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out--`

Counts

4 → 184

Calls

4 calls:

34.0ms	(* b (- (* a a) (* b b)))
61.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
341.0ms	(/ (+ (* (* a (+ (pow a 3) (pow b 3))) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
128.0ms	(* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* b (- (* a a) (* b b)))
54.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
86.0ms	(/ (+ (* (* a (+ (pow a 3) (pow b 3))) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
138.0ms	(* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))

simplify880.0ms

Counts: 196 → 196

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify952.0ms

end0.0ms

sample560.0ms

Algorithm

intervals

Results

160.0ms	8000×	body	80	valid
158.0ms	8000×	pre	80	true