Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	256×	pre	80	true
10.0ms	256×	body	80	valid

simplify59.0ms

Calls

1 calls:

Slowest

59.0ms

(* a (+ (+ b c) d))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(* a (+ (+ b c) d))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

77.0ms

(* a (+ (+ b c) d))

series50.0ms

Calls

1 calls:

Slowest

50.0ms

(* a (+ (+ b c) d))

simplify981.0ms

Calls

19 calls:

Slowest

406.0ms	(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
203.0ms	(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
68.0ms	(+ (* a d) (+ (* a b) (* a c)))
52.0ms	(* a (+ (+ b c) d))
42.0ms	(+ (* a d) (+ (* a b) (* a c)))

prune276.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ b c) a)
0.0b	(+ (* (+ b c) a) (* d a))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

23.0ms	(* (+ b c) a)
18.0ms	(+ (* (+ b c) a) (* d a))

series53.0ms

Calls

2 calls:

Slowest

28.0ms	(+ (* (+ b c) a) (* d a))
24.0ms	(* (+ b c) a)

simplify1.5s

Calls

19 calls:

Slowest

622.0ms	(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* a a) a))
349.0ms	(* (exp (* (+ b c) a)) (exp (* d a)))
195.0ms	(* (+ (pow b 3) (pow c 3)) a)
184.0ms	(* (- (* b b) (* c c)) a)
48.0ms	(+ (* a d) (+ (* a b) (* a c)))

prune457.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b	(* a (+ (+ b c) d))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

61.0ms

(* a (+ (+ b c) d))

series38.0ms

Calls

1 calls:

Slowest

38.0ms

(* a (+ (+ b c) d))

simplify990.0ms

Calls

19 calls:

Slowest

410.0ms	(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
231.0ms	(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
73.0ms	(+ (* a d) (+ (* a b) (* a c)))
47.0ms	(* a (+ (+ b c) d))
38.0ms	(+ (* a d) (+ (* a b) (* a c)))

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

7.2b	(/ (- (* (* (+ b c) a) (* (+ b c) a)) (* (* d a) (* d a))) (- (* (+ b c) a) (* d a)))
0.4b	(* (* (+ b c) a) (* (+ b c) a))
0.2b	(* (* d a) (* d a))
0.0b	(* (+ b c) a)

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

84×	`pow1`
35×	`pow-prod-down`
32×	`add-cbrt-cube` `add-exp-log`
18×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`prod-exp` `cbrt-unprod`
16×	`times-frac` `associate-*l/` `add-cube-cbrt`
8×	`pow-sqr` `pow-prod-up`
7×	`flip3-+` `flip-+`
6×	`associate-l`
5×	`distribute-rgt-out--` `associate-r` `difference-of-squares`
4×	`frac-times` `associate-/r` `pow-plus` `insert-posit16` `associate-/l` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `flip3--` `swap-sqr` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv` `distribute-lft-out` `unswap-sqr`

Calls

4 calls:

Slowest

215.0ms	(/ (- (* (* (+ b c) a) (* (+ b c) a)) (* (* d a) (* d a))) (- (* (+ b c) a) (* d a)))
51.0ms	(* (* (+ b c) a) (* (+ b c) a))
43.0ms	(* (* d a) (* d a))
28.0ms	(* (+ b c) a)

series245.0ms

Calls

4 calls:

Slowest

134.0ms	(/ (- (* (* (+ b c) a) (* (+ b c) a)) (* (* d a) (* d a))) (- (* (+ b c) a) (* d a)))
50.0ms	(* (* d a) (* d a))
34.0ms	(* (* (+ b c) a) (* (+ b c) a))
27.0ms	(* (+ b c) a)

simplify19.6s

Calls

146 calls:

Slowest

968.0ms	(* (* (- (* b b) (* c c)) a) (* (- (* b b) (* c c)) a))
855.0ms	(/ (* (* (- (* (* (+ b c) a) (* (+ b c) a)) (* (* d a) (* d a))) (- (* (* (+ b c) a) (* (+ b c) a)) (* (* d a) (* d a)))) (- (* (* (+ b c) a) (* (+ b c) a)) (* (* d a) (* d a)))) (* (* (- (* (+ b c) a) (* d a)) (- (* (+ b c) a) (* d a))) (- (* (+ b c) a) (* d a))))
830.0ms	(* (* (* (* d d) d) (* (* a a) a)) (* (* (* d d) d) (* (* a a) a)))
779.0ms	(* (* (* (* d a) (* d a)) (* d a)) (* (* (* d a) (* d a)) (* d a)))
672.0ms	(+ (* (pow a 2) (pow b 2)) (+ (* 2 (* (pow a 2) (* b c))) (* (pow a 2) (pow c 2))))

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes325.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

611.0ms	8000×	pre	80	true
517.0ms	8000×	body	80	valid