Details

Time bar (total: 3.2s)

sample14.0ms

Algorithm
intervals
Results
3.0ms256×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

prune1.0ms

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))

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

series16.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0189213
1902188
25001170

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow a 2) (* b (- b a)))
0.2b
(* (- a b) (+ (pow a 2) (* b (- b a))))
0.3b
(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
0.3b
(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log *-un-lft-identity add-cbrt-cube
16×frac-times
14×add-sqr-sqrt
13×flip3-+ flip-+
12×flip3-- associate-*r* flip--
9×associate-*l*
8×pow1 add-cube-cbrt associate-*r/ associate-*l/ associate-/r/ associate-/l/
6×prod-exp cbrt-unprod add-log-exp
5×distribute-lft-out
4×cbrt-undiv distribute-rgt-in unpow-prod-down associate-+r+ distribute-lft-in cube-prod div-exp
2×sub-neg pow-prod-down *-commutative difference-of-squares unswap-sqr
1×+-commutative frac-2neg times-frac clear-num associate-/r* sum-log sum-cubes div-inv associate-/l* distribute-lft-out--
Counts
4 → 117
Calls
4 calls:
14.0ms
(+ (pow a 2) (* b (- b a)))
50.0ms
(* (- a b) (+ (pow a 2) (* b (- b a))))
93.0ms
(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
60.0ms
(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (pow a 2) (* b (- b a)))
55.0ms
(* (- a b) (+ (pow a 2) (* b (- b a))))
94.0ms
(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
85.0ms
(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
07941555
150011317

prune423.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite398.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×add-exp-log *-un-lft-identity add-cbrt-cube
29×associate-*l*
18×times-frac
17×difference-of-squares
16×frac-times unpow-prod-down cube-prod associate-/l/
15×flip3-+ flip-+
14×add-cube-cbrt
12×cbrt-undiv flip3-- div-exp associate-*r* associate-/r* flip--
8×pow1 associate-*r/ associate-*l/ prod-exp cbrt-unprod sqr-pow
7×associate-/r/
5×distribute-lft-out distribute-lft-out--
4×div-inv add-log-exp
2×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
1×difference-cubes sum-cubes
Counts
4 → 166
Calls
4 calls:
86.0ms
(/ (* (- (pow a 3) (pow b 3)) (+ (pow a 2) (* b (- b a)))) (+ (* a a) (+ (* b b) (* a b))))
113.0ms
(* (- (pow a 3) (pow b 3)) (+ (pow a 2) (* b (- b a))))
94.0ms
(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
99.0ms
(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (/ (* (- (pow a 3) (pow b 3)) (+ (pow a 2) (* b (- b a)))) (+ (* a a) (+ (* b b) (* a b)))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(/ (* (- (pow a 3) (pow b 3)) (+ (pow a 2) (* b (- b a)))) (+ (* a a) (+ (* b b) (* a b))))
110.0ms
(* (- (pow a 3) (pow b 3)) (+ (pow a 2) (* b (- b a))))
93.0ms
(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
117.0ms
(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (/ (* (- (pow a 3) (pow b 3)) (+ (pow a 2) (* b (- b a)))) (+ (* a a) (+ (* b b) (* a b)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011593125
150022766

prune692.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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
053
153

end0.0ms

sample351.0ms

Algorithm
intervals
Results
104.0ms8000×pre80true
88.0ms8000×body80valid