Details

Time bar (total: 10.6s)

sample36.0ms

Algorithm
intervals
Results
13.0ms256×pre80true
12.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
24.0ms
(* (+ a b) (+ a b))

prune9.0ms

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))

rewrite34.0ms

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
33.0ms
(* (+ a b) (+ a b))

series27.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
27.0ms
(* (+ a b) (+ a b))

simplify2.8s

Counts
45 → 44
Calls
45 calls:
Slowest
312.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
291.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
266.0ms
(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
214.0ms
(* (- a b) (+ (* a a) (- (* b b) (* a b))))
210.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))

prune306.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
3×insert-posit16
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative sum-log distribute-rgt-out
Counts
3 → 69
Calls
3 calls:
Slowest
14.0ms
(* a (+ a b))
13.0ms
(* b (+ a b))
12.0ms
(+ (* a (+ a b)) (* b (+ a b)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
46.0ms
(* b (+ a b))
42.0ms
(* a (+ a b))
39.0ms
(+ (* a (+ a b)) (* b (+ a b)))

simplify3.0s

Counts
54 → 78
Calls
54 calls:
Slowest
396.0ms
(* (exp (* a (+ a b))) (exp (* b (+ a b))))
376.0ms
(+ (* (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b)))) (* (+ (* a a) (- (* b b) (* a b))) (* b (+ (pow a 3) (pow b 3)))))
315.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
249.0ms
(+ (* (* a (- (* a a) (* b b))) (+ (* a a) (- (* b b) (* a b)))) (* (- a b) (* b (+ (pow a 3) (pow b 3)))))
236.0ms
(+ (* (* a (+ (pow a 3) (pow b 3))) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b)))))

prune541.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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
38.0ms
(* b (+ (* a 2) b))
22.0ms
(+ (* b (+ (* a 2) b)) (* a a))

series91.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
58.0ms
(* b (+ (* a 2) b))
33.0ms
(+ (* b (+ (* a 2) b)) (* a a))

simplify1.4s

Counts
23 → 43
Calls
23 calls:
Slowest
353.0ms
(* (exp (* b (+ (* a 2) b))) (exp (* a a)))
261.0ms
(+ (* (* a 2) (* a 2)) (- (* b b) (* (* a 2) b)))
197.0ms
(* (* (* b b) b) (* (* (+ (* a 2) b) (+ (* a 2) b)) (+ (* a 2) b)))
89.0ms
(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
73.0ms
(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))

prune378.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 1 expressions with local error:

0.0b
(* a (+ a b))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
Slowest
27.0ms
(* a (+ a b))

series53.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
53.0ms
(* a (+ a b))

simplify407.0ms

Counts
18 → 27
Calls
18 calls:
Slowest
173.0ms
(* (* (* a a) a) (* (* (+ a b) (+ a b)) (+ a b)))
71.0ms
(+ (* a a) (- (* b b) (* a b)))
35.0ms
(+ (pow a 2) (* a b))
33.0ms
(+ (pow a 2) (* a b))
19.0ms
(+ (pow a 2) (* a b))

prune195.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample876.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid
366.0ms8000×pre80true