Details

Time bar (total: 1.6s)

sample19.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
3.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133
done1133

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
34.0ms
(* (+ a b) (+ a b))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ a b) (+ a b))

simplify34.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0189213
1902188
25001170
done5001170

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-out sum-log
Counts
3 → 66
Calls
3 calls:
20.0ms
(* b (+ a b))
14.0ms
(+ (* a (+ a b)) (* b (+ a b)))
22.0ms
(* a (+ a b))

series80.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* b (+ a b))
25.0ms
(+ (* a (+ a b)) (* b (+ a b)))
29.0ms
(* a (+ a b))

simplify59.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0349386
11962333
25002331
done5002331

prune130.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a a) (- (* b b) (* a b)))
0.0b
(- (* b b) (* a b))
0.3b
(* (+ a b) (+ (pow a 3) (pow b 3)))
0.5b
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
14×flip3-+ flip-+
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt
9×associate-*r*
8×frac-times add-cube-cbrt associate-/l/
6×pow1 distribute-lft-out
4×unpow-prod-down cube-prod associate-*r/ associate-*l* associate-*l/
3×times-frac associate-/r*
2×cbrt-undiv sub-neg associate-+r+ diff-log div-exp prod-exp sum-log associate-/r/ cbrt-unprod
1×+-commutative distribute-rgt-in associate-+r- flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in pow-prod-down clear-num sum-cubes *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 94
Calls
4 calls:
18.0ms
(+ (* a a) (- (* b b) (* a b)))
8.0ms
(- (* b b) (* a b))
88.0ms
(* (+ a b) (+ (pow a 3) (pow b 3)))
65.0ms
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

series169.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* a a) (- (* b b) (* a b)))
34.0ms
(- (* b b) (* a b))
52.0ms
(* (+ a b) (+ (pow a 3) (pow b 3)))
61.0ms
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

simplify84.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0521953
13046824
25002818
done5002818

prune289.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105
done105

end0.0ms

sample366.0ms

Algorithm
intervals
Results
105.0ms8000×pre80true
94.0ms8000×body80valid