Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify25.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

25.0ms

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

prune4.0ms

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))

rewrite27.0ms

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-cbrt-cube` `add-exp-log`
2×	`associate-l/` `associate-r/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 41

Calls

1 calls:

Slowest

26.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

16.0ms

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

simplify2.9s

Counts

45 → 44

Calls

45 calls:

Slowest

272.0ms	(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
266.0ms	(* (- a b) (+ (* a a) (- (* b b) (* a b))))
265.0ms	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
251.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
222.0ms	(* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b)))

prune325.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

Slowest

23.0ms	(* b (+ (* a 2) b))
14.0ms	(+ (* b (+ (* a 2) b)) (* a a))

series93.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

63.0ms	(* b (+ (* a 2) b))
30.0ms	(+ (* b (+ (* a 2) b)) (* a a))

simplify1.3s

Counts

23 → 43

Calls

23 calls:

Slowest

394.0ms	(* (exp (* b (+ (* a 2) b))) (exp (* a a)))
219.0ms	(+ (* (* a 2) (* a 2)) (- (* b b) (* (* a 2) b)))
197.0ms	(* (* (* b b) b) (* (* (+ (* a 2) b) (+ (* a 2) b)) (+ (* a 2) b)))
81.0ms	(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
76.0ms	(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))

prune336.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+r+`

Counts

2 → 26

Calls

2 calls:

Slowest

40.0ms	(+ (* (* a 2) b) (+ (* b b) (* a a)))
8.0ms	(+ (* b b) (* a a))

series84.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

53.0ms	(+ (* b b) (* a a))
31.0ms	(+ (* (* a 2) b) (+ (* b b) (* a a)))

simplify1.1s

Counts

10 → 32

Calls

10 calls:

Slowest

422.0ms	(* (exp (* (* a 2) b)) (exp (+ (* b b) (* a a))))
179.0ms	(* (exp (* b b)) (exp (* a a)))
176.0ms	(* (exp (* (* a 2) b)) (* (exp (* b b)) (exp (* a a))))
92.0ms	(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
73.0ms	(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))

prune308.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* (+ (* a (* a a)) (* (* b b) b)) (+ b a)) (+ (* a a) (- (* b b) (* a b))))
0.3b	(* (+ (* a (* a a)) (* (* b b) b)) (+ b a))
0.3b	(* a (* a a))
0.1b	(* (* b b) b)

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1`
21×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
13×	`flip3-+` `flip-+`
12×	`*-un-lft-identity`
11×	`pow-prod-up`
10×	`add-cube-cbrt`
8×	`frac-times` `associate-r` `associate-l` `prod-exp` `cbrt-unprod` `associate-/l/`
7×	`pow-plus` `pow-prod-down`
4×	`associate-l/` `associate-r/` `insert-posit16` `add-log-exp`
3×	`pow2` `associate-/r` `times-frac` `pow-sqr` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `cube-unmult` `div-exp` `pow3` `associate-/r/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `sum-cubes` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 117

Calls

4 calls:

Slowest

130.0ms	(* (+ (* a (* a a)) (* (* b b) b)) (+ b a))
110.0ms	(/ (* (+ (* a (* a a)) (* (* b b) b)) (+ b a)) (+ (* a a) (- (* b b) (* a b))))
16.0ms	(* a (* a a))
15.0ms	(* (* b b) b)

series274.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

102.0ms	(/ (* (+ (* a (* a a)) (* (* b b) b)) (+ b a)) (+ (* a a) (- (* b b) (* a b))))
69.0ms	(* (+ (* a (* a a)) (* (* b b) b)) (+ b a))
58.0ms	(* (* b b) b)
44.0ms	(* a (* a a))

simplify16.6s

Counts

90 → 129

Calls

90 calls:

Slowest

984.0ms	(* (- (* (* a (* a a)) (* a (* a a))) (* (* (* b b) b) (* (* b b) b))) (+ b a))
943.0ms	(/ (* (* (* (+ (* a (* a a)) (* (* b b) b)) (+ b a)) (* (+ (* a (* a a)) (* (* b b) b)) (+ b a))) (* (+ (* a (* a a)) (* (* b b) b)) (+ b a))) (* (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))) (+ (* a a) (- (* b b) (* a b)))))
818.0ms	(* (- (* (* a (* a a)) (* a (* a a))) (* (* (* b b) b) (* (* b b) b))) (- (* b b) (* a a)))
772.0ms	(* (- (* (* a (* a a)) (* a (* a a))) (* (* (* b b) b) (* (* b b) b))) (- (* b b) (* a a)))
717.0ms	(* (+ (pow (* a (* a a)) 3) (pow (* (* b b) b) 3)) (- (* b b) (* a a)))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample828.0ms

Algorithm

intervals

Results

361.0ms	8000×	pre	80	true
321.0ms	8000×	body	80	valid