Details

Time bar (total: 8.6s)

sample28.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
5.0ms256×pre80true

simplify226.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-exp-log add-cbrt-cube
associate-*r/ associate-*l/
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:
45.0ms
(* (+ a b) (+ a b))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* (+ a b) (+ a b))

simplify2.9s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
064532
1195462
2790416
33636380
done5000380

prune81.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/
add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
pow1 add-exp-log add-cube-cbrt associate-*l* frac-add add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u log1p-expm1-u distribute-lft-out
+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
26.0ms
(* (+ a b) b)
17.0ms
(+ (* (+ a b) a) (* (+ a b) b))

series65.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (+ a b) b)
36.0ms
(+ (* (+ a b) a) (* (+ a b) b))

simplify1.4s

Counts
48 → 48
Iterations

Useful iterations: done (1.4s)

IterNodesCost
092679
1280558
21097496
done5001470

prune103.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (* a a) (* b b)) a)
0.3b
(* (- a b) (* (+ (pow a 3) (pow b 3)) b))
0.3b
(/ (fma (* (- (* a a) (* b b)) a) (fma a a (* b (- b a))) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (fma a a (* b (- b a)))))
0.4b
(fma (* (- (* a a) (* b b)) a) (fma a a (* b (- b a))) (* (- a b) (* (+ (pow a 3) (pow b 3)) b)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
12×associate-*l/
11×pow1 *-un-lft-identity
add-cube-cbrt associate-*l*
flip3-- prod-exp flip-- cbrt-unprod
expm1-log1p-u frac-times associate-*r* pow-prod-down log1p-expm1-u add-log-exp
flip3-+ times-frac flip-+ associate-/l*
cbrt-undiv associate-*r/ div-exp associate-/r/ *-commutative difference-of-squares
frac-2neg clear-num associate-/r* fma-udef div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 88
Calls
4 calls:
30.0ms
(* (- (* a a) (* b b)) a)
103.0ms
(* (- a b) (* (+ (pow a 3) (pow b 3)) b))
15.0ms
(/ (fma (* (- (* a a) (* b b)) a) (fma a a (* b (- b a))) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (fma a a (* b (- b a)))))
0.0ms
(fma (* (- (* a a) (* b b)) a) (fma a a (* b (- b a))) (* (- a b) (* (+ (pow a 3) (pow b 3)) b)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (- (* a a) (* b b)) a)
87.0ms
(* (- a b) (* (+ (pow a 3) (pow b 3)) b))
177.0ms
(/ (fma (* (- (* a a) (* b b)) a) (fma a a (* b (- b a))) (* (- a b) (* (+ (pow a 3) (pow b 3)) b))) (* (- a b) (fma a a (* b (- b a)))))
250.0ms
(fma (* (- (* a a) (* b b)) a) (fma a a (* b (- b a))) (* (- a b) (* (+ (pow a 3) (pow b 3)) b)))

simplify1.6s

Counts
100 → 100
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01913009
15222929
223382477
done50002413

prune531.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11011
done1011

end0.0ms

sample731.0ms

Algorithm
intervals
Results
214.0ms8000×pre80true
214.0ms8000×body80valid