Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
10.0ms	256×	body	80	valid

simplify89.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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

35.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

22.0ms

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

simplify784.0ms

Counts: 44 → 44

prune256.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

Slowest

24.0ms	(* (+ a b) b)
21.0ms	(* (+ a b) a)
18.0ms	(+ (* (+ a b) a) (* (+ a b) b))

series115.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

39.0ms	(* (+ a b) a)
39.0ms	(* (+ a b) b)
36.0ms	(+ (* (+ a b) a) (* (+ a b) b))

simplify1.6s

Counts: 70 → 70

prune491.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (+ b a) a) (* (+ b a) a))
0.5b	(* (* (+ b a) a) (* (+ b a) a))
0.3b	(* (* (+ b a) a) (* (* (+ b a) a) (* (+ b a) a)))
0.3b	(/ (+ (* (* b (+ b a)) (* (* b (+ b a)) (* b (+ b a)))) (* (* (+ b a) a) (* (* (+ b a) a) (* (+ b a) a)))) (+ (* (* (+ b a) a) (* (+ b a) a)) (* (* (* (+ b a) (+ b a)) (- b a)) b)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

2594×	`associate-*l/`
2266×	`associate-*r/`
1820×	`frac-times`
1745×	`flip3-+` `flip-+`
884×	`frac-add`
678×	`associate-/l/`
210×	`pow1` `associate-/r/`
94×	`pow-prod-down`
72×	`flip3--` `flip--`
71×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
16×	`pow-sqr`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`cube-unmult`
8×	`pow-plus`
4×	`pow2` `sum-cubes` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `-commutative`
2×	`swap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 1096

Calls

4 calls:

Slowest

869.0ms	(/ (+ (* (* b (+ b a)) (* (* b (+ b a)) (* b (+ b a)))) (* (* (+ b a) a) (* (* (+ b a) a) (* (+ b a) a)))) (+ (* (* (+ b a) a) (* (+ b a) a)) (* (* (* (+ b a) (+ b a)) (- b a)) b)))
191.0ms	(* (* (+ b a) a) (* (* (+ b a) a) (* (+ b a) a)))
52.0ms	(* (* (+ b a) a) (* (+ b a) a))
42.0ms	(* (* (+ b a) a) (* (+ b a) a))

series251.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(/ (+ (* (* b (+ b a)) (* (* b (+ b a)) (* b (+ b a)))) (* (* (+ b a) a) (* (* (+ b a) a) (* (+ b a) a)))) (+ (* (* (+ b a) a) (* (+ b a) a)) (* (* (* (+ b a) (+ b a)) (- b a)) b)))
56.0ms	(* (* (+ b a) a) (* (* (+ b a) a) (* (+ b a) a)))
45.0ms	(* (* (+ b a) a) (* (+ b a) a))
35.0ms	(* (* (+ b a) a) (* (+ b a) a))

simplify3.2s

Counts: 1108 → 1108

prune18.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b)))
0.5b	(cbrt (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b))))
0.3b	(* (* (+ a b) (+ a b)) (+ a b))
0.3b	(* (* (+ a b) (+ a b)) (+ a b))

rewrite754.0ms

Algorithm

rewrite-expression-head

Rules

4432×	`frac-times`
2970×	`flip3-+` `flip-+`
1592×	`associate-*l/`
932×	`associate-*r/`
728×	`cbrt-div`
584×	`pow1`
290×	`pow-prod-up`
203×	`pow-plus`
98×	`pow-prod-down`
90×	`pow-sqr`
57×	`pow2`
50×	`add-cbrt-cube` `add-exp-log`
33×	`prod-exp` `cbrt-unprod`
26×	`pow3`
10×	`*-un-lft-identity`
9×	`associate-r`
8×	`add-sqr-sqrt`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l` `*-commutative`
2×	`distribute-lft-out` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube`

Counts

4 → 1779

Calls

4 calls:

Slowest

274.0ms	(cbrt (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b))))
260.0ms	(* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b)))
60.0ms	(* (* (+ a b) (+ a b)) (+ a b))
58.0ms	(* (* (+ a b) (+ a b)) (+ a b))

series162.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b)))
32.0ms	(* (* (+ a b) (+ a b)) (+ a b))
32.0ms	(* (* (+ a b) (+ a b)) (+ a b))
17.0ms	(cbrt (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (+ a b) (+ a b)) (+ a b))))

simplify3.7s

Counts: 1791 → 1791

prune20.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample740.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
290.0ms	8000×	pre	80	true