Details

Time bar (total: 8.5s)

sample24.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
5.0ms256×pre80true

simplify239.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2277
3657
41047
51347
61547
71717
81737
done1737

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

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 expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
49.0ms
(* (+ a b) (+ a b))

series16.0ms

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

simplify2.8s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
064532
1195462
2790416
33636380
done5000380

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma b (fma a 2 b) (* a a))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma b (fma a 2 b) (* a a))

series41.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma b (fma a 2 b) (* a a))

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
022165
143162
2100135
3323135
41691135
done5000135

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite246.0ms

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×expm1-log1p-u unpow-prod-down cube-prod associate-*r/ associate-*l* associate-*l/ log1p-expm1-u
3×associate-+r+ times-frac associate-/r*
2×cbrt-undiv sub-neg diff-log div-exp prod-diff prod-exp sum-log associate-/r/ cbrt-unprod
1×+-commutative distribute-rgt-in associate-+r- flip3-- distribute-rgt-out-- fma-def frac-2neg distribute-lft-in fma-neg pow-prod-down clear-num sum-cubes *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 106
Calls
4 calls:
13.0ms
(- (* b b) (* a b))
24.0ms
(+ (* a a) (- (* b b) (* a b)))
110.0ms
(* (+ a b) (+ (pow a 3) (pow b 3)))
94.0ms
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

series190.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* b b) (* a b))
24.0ms
(+ (* a a) (- (* b b) (* a b)))
57.0ms
(* (+ a b) (+ (pow a 3) (pow b 3)))
70.0ms
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

simplify2.3s

Counts
118 → 118
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01762281
15391867
226881672
done50001666

prune404.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
069
done69

end0.0ms

sample887.0ms

Algorithm
intervals
Results
457.0ms8000×body80valid
169.0ms8000×pre80true