Details

Time bar (total: 2.9s)

sample14.0ms

Algorithm
intervals
Results
4.0ms256×pre80true
3.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite18.0ms

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))

simplify34.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0189213
1902188
25001170

prune50.0ms

Filtered
43 candidates to 19 candidates (44.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

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))

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:
9.0ms
(* b (+ a b))
6.0ms
(+ (* a (+ a b)) (* b (+ a b)))
9.0ms
(* a (+ a b))

series76.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* b (+ a b))
22.0ms
(+ (* a (+ a b)) (* b (+ a b)))
29.0ms
(* a (+ a b))

simplify56.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0349386
11962333
25002331

prune125.0ms

Filtered
75 candidates to 50 candidates (66.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* b (+ a b))
0.0b
(+ (pow a 2) (* a b))
0.0b
(+ (+ (pow a 2) (* a b)) (* b (+ a b)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
6×associate-*r/
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*r* frac-add sum-log
3×associate-*l* distribute-lft-out
2×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in unpow2
1×associate-+l+ distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 55
Calls
3 calls:
9.0ms
(* b (+ a b))
6.0ms
(+ (pow a 2) (* a b))
30.0ms
(+ (+ (pow a 2) (* a b)) (* b (+ a b)))

series78.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* b (+ a b))
30.0ms
(+ (pow a 2) (* a b))
22.0ms
(+ (+ (pow a 2) (* a b)) (* b (+ a b)))

simplify50.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0347431
11777392
25003362

prune127.0ms

Filtered
64 candidates to 44 candidates (68.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* b (- (* a a) (* b b)))
0.3b
(* a (+ (pow a 3) (pow b 3)))
0.4b
(/ (+ (* (* a (+ (pow a 3) (pow b 3))) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
0.4b
(* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
142×associate-*r/
72×frac-times
66×associate-/l/
64×frac-add
56×flip3-+ flip-+
55×flip3-- flip--
36×associate-*l/
21×*-un-lft-identity
18×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
14×associate-*r*
13×pow1
11×distribute-rgt-in add-cube-cbrt distribute-lft-in
9×associate-*l*
8×associate-/r/
6×sub-neg prod-exp cbrt-unprod
5×pow-prod-down distribute-lft-out
4×unpow-prod-down cube-prod add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num associate-/r* sum-cubes div-inv difference-of-squares
Counts
4 → 182
Calls
4 calls:
12.0ms
(* b (- (* a a) (* b b)))
50.0ms
(* a (+ (pow a 3) (pow b 3)))
185.0ms
(/ (+ (* (* a (+ (pow a 3) (pow b 3))) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
41.0ms
(* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* b (- (* a a) (* b b)))
52.0ms
(* a (+ (pow a 3) (pow b 3)))
79.0ms
(/ (+ (* (* a (+ (pow a 3) (pow b 3))) (- a b)) (* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
92.0ms
(* (+ (* a a) (- (* b b) (* a b))) (* b (- (* a a) (* b b))))

simplify63.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014983423
150023256

prune1.1s

Filtered
194 candidates to 155 candidates (79.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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
0146
1146

end0.0ms

sample331.0ms

Algorithm
intervals
Results
114.0ms8000×pre80true
98.0ms8000×body80valid