Details

sample19.0ms

Algorithm

intervals

Results

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

simplify79.0ms

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))

rewrite44.0ms

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:

42.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify423.0ms

Counts: 43 → 43

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

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)))))

rewrite289.0ms

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:

17.0ms	(+ (pow a 2) (* b (- b a)))
52.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
118.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
98.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (pow a 2) (* b (- b a)))
60.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
112.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
119.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

simplify524.0ms

Counts: 129 → 129

prune506.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b (- b a)) (pow a 2))
0.0b	(* (/ (- (* a a) (* b b)) (- a b)) (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))
0.1b	(/ (- (* a a) (* b b)) (- a b))
0.3b	(/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))

rewrite430.0ms

Algorithm

rewrite-expression-head

Rules

140×	`*-un-lft-identity`
98×	`times-frac`
82×	`add-sqr-sqrt`
52×	`add-cube-cbrt`
35×	`distribute-lft-out`
33×	`associate-r`
28×	`unpow-prod-down` `cube-prod`
26×	`associate-l`
20×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
13×	`associate-/l*`
9×	`distribute-lft-out--`
8×	`associate-/r*` `associate-/r/`
7×	`sum-cubes`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`associate-+l+` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num`
1×	`+-commutative` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative`

Counts

4 → 199

Calls

4 calls:

26.0ms	(+ (* b (- b a)) (pow a 2))
204.0ms	(* (/ (- (* a a) (* b b)) (- a b)) (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))
41.0ms	(/ (- (* a a) (* b b)) (- a b))
143.0ms	(/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* b (- b a)) (pow a 2))
101.0ms	(* (/ (- (* a a) (* b b)) (- a b)) (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))
66.0ms	(/ (- (* a a) (* b b)) (- a b))
117.0ms	(/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))

simplify1.7s

Counts: 211 → 211

prune738.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
0.3b	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (cbrt (pow (* (- a b) (+ (pow a 2) (* b (- b a)))) 3)))
0.5b	(cbrt (pow (* (- a b) (+ (pow a 2) (* b (- b a)))) 3))
0.7b	(pow (* (- a b) (+ (pow a 2) (* b (- b a)))) 3)

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cube-div` `cbrt-prod`
22×	`*-un-lft-identity`
20×	`frac-times`
16×	`cbrt-div`
15×	`flip3--` `flip3-+` `flip--` `flip-+`
14×	`add-exp-log` `add-sqr-sqrt`
12×	`add-cube-cbrt` `add-cbrt-cube`
11×	`times-frac` `associate-/r*`
10×	`associate-r/` `associate-l/`
9×	`pow1` `associate-r`
8×	`unpow-prod-down` `cube-prod` `associate-/r/` `associate-/l/`
5×	`distribute-lft-out`
4×	`cube-mult` `unpow3` `associate-l` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `pow-pow` `div-exp` `pow-prod-down` `pow-exp` `rem-cube-cbrt`
1×	`distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `pow1/3` `clear-num` `sum-cubes` `-commutative` `rem-cbrt-cube` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

4 → 143

Calls

4 calls:

102.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
55.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (cbrt (pow (* (- a b) (+ (pow a 2) (* b (- b a)))) 3)))
8.0ms	(cbrt (pow (* (- a b) (+ (pow a 2) (* b (- b a)))) 3))
30.0ms	(pow (* (- a b) (+ (pow a 2) (* b (- b a)))) 3)

series582.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
118.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (cbrt (pow (* (- a b) (+ (pow a 2) (* b (- b a)))) 3)))
66.0ms	(cbrt (pow (* (- a b) (+ (pow a 2) (* b (- b a)))) 3))
256.0ms	(pow (* (- a b) (+ (pow a 2) (* b (- b a)))) 3)

simplify478.0ms

Counts: 155 → 155

prune854.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify121.0ms

end0.0ms

sample613.0ms

Algorithm

intervals

Results

181.0ms	8000×	body	80	valid
171.0ms	8000×	pre	80	true