Details

Time bar (total: 2.3s)

sample14.0ms

Algorithm
intervals
Results
4.0ms256×pre80true
3.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133

prune2.0ms

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))

rewrite17.0ms

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:
16.0ms
(* (+ a b) (+ a b))

series15.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0189213
1902188
25001170

prune54.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:
5.0ms
(+ (* a (+ a b)) (* b (+ a b)))
9.0ms
(* a (+ a b))
9.0ms
(* b (+ a b))

series81.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (* a (+ a b)) (* b (+ a b)))
32.0ms
(* a (+ a b))
26.0ms
(* b (+ a b))

simplify60.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0349386
11969333
25001331

prune128.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
7×*-un-lft-identity
4×sum-log
3×associate-+r+ distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×distribute-rgt-in distribute-lft-in
Counts
2 → 28
Calls
2 calls:
7.0ms
(+ a (+ a b))
3.0ms
(+ (* a a) (* b (+ a (+ a b))))

series45.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ a (+ a b))
24.0ms
(+ (* a a) (* b (+ a (+ a b))))

simplify31.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0191188
1836161
25001142

prune65.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* a (+ (pow a 3) (pow b 3)))
0.4b
(* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3)))))
0.4b
(/ (* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3))))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
0.5b
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
57×flip3-+ flip-+
32×frac-times
24×frac-add
22×add-exp-log add-cbrt-cube
20×*-un-lft-identity associate-/l/
16×add-sqr-sqrt associate-*r*
10×pow1 add-cube-cbrt
9×associate-*l*
8×associate-*l/ associate-/r/
7×prod-exp cbrt-unprod
5×distribute-lft-out
4×cbrt-undiv unpow-prod-down cube-prod div-exp add-log-exp
3×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative unswap-sqr
1×distribute-rgt-out frac-2neg times-frac clear-num associate-/r* sum-cubes div-inv associate-/l*
Counts
4 → 146
Calls
4 calls:
48.0ms
(* a (+ (pow a 3) (pow b 3)))
82.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3)))))
44.0ms
(/ (* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3))))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
43.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

series330.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* a (+ (pow a 3) (pow b 3)))
154.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3)))))
69.0ms
(/ (* (+ (* b (- b a)) (pow a 2)) (+ (* b (+ (pow a 3) (pow b 3))) (* a (+ (pow a 3) (pow b 3))))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
56.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

simplify62.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011473272
150012838

prune652.0ms

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

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample338.0ms

Algorithm
intervals
Results
111.0ms8000×pre80true
107.0ms8000×body80valid