Details

Time bar (total: 7.9s)

sample16.0ms

Algorithm
intervals
Results
4.0ms256×pre80true
3.0ms256×body80valid

simplify159.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2277
3657
41047
51347
61547
71717
81737
done1737

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

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (+ a b) (+ a b))

simplify2.1s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
064532
1195462
2790416
33636380
done5000380

prune64.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

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))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma b (fma a 2 b) (* a a))

simplify891.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
022165
143162
2100135
3323135
41691135
done5000135

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
46×distribute-lft-out
40×unpow-prod-down cube-prod
34×add-sqr-sqrt
26×add-cube-cbrt swap-sqr
22×add-exp-log add-cbrt-cube
20×pow1
18×prod-diff
17×associate-*r*
15×associate-*l*
13×distribute-rgt-in distribute-lft-in
12×flip3-+ flip-+
8×frac-times associate-/l/
7×prod-exp cbrt-unprod
6×associate-*r/
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ sum-cubes log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative unswap-sqr
2×pow2 sub-neg pow-plus pow-sqr pow-prod-up fma-udef
1×flip3-- frac-2neg times-frac clear-num associate-/r* flip-- div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 175
Calls
4 calls:
22.0ms
(* b (- b a))
54.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (fma a a (* b (- b a))) (fma a a (* b (- b a)))))
133.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
7.0ms
(* (fma a a (* b (- b a))) (fma a a (* b (- b a))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* b (- b a))
65.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (fma a a (* b (- b a))) (fma a a (* b (- b a)))))
65.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
59.0ms
(* (fma a a (* b (- b a))) (fma a a (* b (- b a))))

simplify1.4s

Counts
187 → 187
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02464407
16393726
229153047
done50012635

prune372.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (sqrt (fma a a (* b (- b a)))) (+ 3 1))
0.3b
(/ (* (pow (sqrt (fma a a (* b (- b a)))) (+ 3 1)) (* (+ a b) (+ a b))) (* (fma a a (* b (- b a))) (fma a a (* b (- b a)))))
0.4b
(* (pow (sqrt (fma a a (* b (- b a)))) (+ 3 1)) (* (+ a b) (+ a b)))
0.5b
(* (fma a a (* b (- b a))) (fma a a (* b (- b a))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
69×add-exp-log
35×prod-exp
32×add-cbrt-cube
20×associate-*r/
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt unpow-prod-down div-exp associate-*l*
13×pow1 cbrt-unprod
12×flip3-+ flip-+
8×frac-times associate-/l/
7×pow-to-exp pow-exp sqrt-prod
6×cbrt-undiv
5×distribute-rgt-in distribute-lft-in unswap-sqr
4×expm1-log1p-u pow-unpow associate-*r* associate-*l/ log1p-expm1-u add-log-exp
3×pow-pow swap-sqr sqr-pow
2×unpow-prod-up *-commutative fma-udef
1×pow2 frac-2neg sqrt-pow1 times-frac pow-plus pow1/2 pow-prod-down clear-num associate-/r* pow-sqr pow-prod-up sqrt-pow2 div-inv distribute-lft-out associate-/l*
Counts
4 → 145
Calls
4 calls:
7.0ms
(pow (sqrt (fma a a (* b (- b a)))) (+ 3 1))
49.0ms
(/ (* (pow (sqrt (fma a a (* b (- b a)))) (+ 3 1)) (* (+ a b) (+ a b))) (* (fma a a (* b (- b a))) (fma a a (* b (- b a)))))
51.0ms
(* (pow (sqrt (fma a a (* b (- b a)))) (+ 3 1)) (* (+ a b) (+ a b)))
7.0ms
(* (fma a a (* b (- b a))) (fma a a (* b (- b a))))

series276.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(pow (sqrt (fma a a (* b (- b a)))) (+ 3 1))
19.0ms
(/ (* (pow (sqrt (fma a a (* b (- b a)))) (+ 3 1)) (* (+ a b) (+ a b))) (* (fma a a (* b (- b a))) (fma a a (* b (- b a)))))
115.0ms
(* (pow (sqrt (fma a a (* b (- b a)))) (+ 3 1)) (* (+ a b) (+ a b)))
60.0ms
(* (fma a a (* b (- b a))) (fma a a (* b (- b a))))

simplify1.2s

Counts
157 → 157
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02234843
16464110
230083049
done50012958

prune349.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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

sample354.0ms

Algorithm
intervals
Results
101.0ms8000×pre80true
88.0ms8000×body80valid