Details

sample32.0ms

Algorithm

intervals

Results

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

simplify48.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

47.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

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`

Counts

1 → 25

Calls

1 calls:

Slowest

57.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

48.0ms

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

simplify913.0ms

Counts

19 → 28

Calls

19 calls:

Slowest

328.0ms	(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
258.0ms	(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
68.0ms	(+ (* a d) (+ (* a b) (* a c)))
52.0ms	(+ (* a d) (+ (* a b) (* a c)))
41.0ms	(* a (+ (+ b c) d))

prune280.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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`

Counts

2 → 35

Calls

2 calls:

Slowest

27.0ms	(* (+ b c) a)
11.0ms	(+ (* (+ b c) a) (* d a))

series67.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

36.0ms	(* (+ b c) a)
31.0ms	(+ (* (+ b c) a) (* d a))

simplify1.5s

Counts

19 → 41

Calls

19 calls:

Slowest

581.0ms	(* (* (* (+ b c) (+ b c)) (+ b c)) (* (* a a) a))
320.0ms	(* (exp (* (+ b c) a)) (exp (* d a)))
183.0ms	(* (+ (pow b 3) (pow c 3)) a)
155.0ms	(* (- (* b b) (* c c)) a)
75.0ms	(+ (* a d) (+ (* a b) (* a c)))

prune381.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite66.0ms

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`

Counts

1 → 25

Calls

1 calls:

Slowest

66.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

39.0ms

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

simplify984.0ms

Counts

19 → 28

Calls

19 calls:

Slowest

354.0ms	(* (* (* a a) a) (* (* (+ (+ b c) d) (+ (+ b c) d)) (+ (+ b c) d)))
287.0ms	(+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))
58.0ms	(* a (+ (+ b c) d))
58.0ms	(+ (* a d) (+ (* a b) (* a c)))
41.0ms	(+ (* a d) (+ (* a b) (* a c)))

prune227.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

17.2b	(/ (+ (pow (* (+ b c) a) 3) (pow (* d a) 3)) (+ (* (* (+ b c) a) (* (+ b c) a)) (- (* (* d a) (* d a)) (* (* (+ b c) a) (* d a)))))
0.4b	(* (* (+ b c) a) (* (+ b c) a))
0.3b	(pow (* (+ b c) a) 3)
0.3b	(pow (* d a) 3)

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
44×	`associate-*l/`
28×	`*-un-lft-identity`
27×	`times-frac`
24×	`add-cbrt-cube` `add-exp-log`
21×	`flip3-+` `flip-+`
20×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`pow-prod-down`
18×	`unpow-prod-down` `cube-prod` `associate-/r/`
16×	`distribute-rgt-out` `frac-add`
12×	`frac-times`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-/l*`
8×	`flip3--` `flip--`
6×	`pow-unpow` `associate-*r/`
4×	`pow-pow` `pow-exp` `pow-sqr` `sum-cubes` `pow-prod-up` `insert-posit16` `distribute-lft-out` `add-log-exp` `rem-cube-cbrt`
3×	`associate-/r*`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-plus` `unpow3` `sqr-pow` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv`

Counts

4 → 163

Calls

4 calls:

Slowest

257.0ms	(/ (+ (pow (* (+ b c) a) 3) (pow (* d a) 3)) (+ (* (* (+ b c) a) (* (+ b c) a)) (- (* (* d a) (* d a)) (* (* (+ b c) a) (* d a)))))
65.0ms	(* (* (+ b c) a) (* (+ b c) a))
16.0ms	(pow (* (+ b c) a) 3)
9.0ms	(pow (* d a) 3)

series404.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

264.0ms	(/ (+ (pow (* (+ b c) a) 3) (pow (* d a) 3)) (+ (* (* (+ b c) a) (* (+ b c) a)) (- (* (* d a) (* d a)) (* (* (+ b c) a) (* d a)))))
57.0ms	(pow (* d a) 3)
44.0ms	(pow (* (+ b c) a) 3)
38.0ms	(* (* (+ b c) a) (* (+ b c) a))

simplify34.0s

Counts

165 → 175

Calls

165 calls:

Slowest

1.2s	(pow (* (- (* b b) (* c c)) a) 3)
1.0s	(* (* (- (* b b) (* c c)) a) (* (- (* b b) (* c c)) a))
982.0ms	(* (* (+ (* b b) (- (* c c) (* b c))) (+ (* b b) (- (* c c) (* b c)))) (+ (* (* (* d a) (* d a)) (* (* d a) (* d a))) (+ (* (* (* (+ b c) a) (* d a)) (* (* (+ b c) a) (* d a))) (* (* (* d a) (* d a)) (* (* (+ b c) a) (* d a))))))
916.0ms	(* (* (+ (* b b) (- (* c c) (* b c))) (- b c)) (+ (* (* (* d a) (* d a)) (* (* d a) (* d a))) (+ (* (* (* (+ b c) a) (* d a)) (* (* (+ b c) a) (* d a))) (* (* (* d a) (* d a)) (* (* (+ b c) a) (* d a))))))
853.0ms	(* (* (- (* b b) (* c c)) a) (* (+ b c) a))

prune2.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes384.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

560.0ms	8000×	pre	80	true
466.0ms	8000×	body	80	valid