Details

Time bar (total: 1.7s)

sample15.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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:
35.0ms
(* (+ a b) (+ a b))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(* (+ a b) (+ a b))

simplify33.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0189213
1902188
25001170

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* b (- b a)) (pow a 2))
0.4b
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
0.4b
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))
0.5b
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
46×distribute-lft-out
40×unpow-prod-down cube-prod
25×flip3-+ flip-+
23×swap-sqr
20×add-exp-log add-cbrt-cube
16×frac-times
14×add-sqr-sqrt
13×pow1
12×associate-*r* associate-*l*
10×add-cube-cbrt
8×associate-*r/ associate-*l/ associate-/r/ associate-/l/
6×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv distribute-rgt-in associate-+l+ distribute-lft-in div-exp sum-cubes
2×sub-neg pow-prod-down *-commutative unswap-sqr
1×+-commutative pow2 frac-2neg times-frac pow-plus clear-num associate-/r* sum-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 147
Calls
4 calls:
16.0ms
(+ (* b (- b a)) (pow a 2))
77.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
79.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))
137.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* b (- b a)) (pow a 2))
46.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
47.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))
52.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

simplify131.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
07352051
144611691
250011620

prune347.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
21.0ms
(+ (* 2 (* a b)) (pow b 2))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(+ (* 2 (* a b)) (pow b 2))

simplify78.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
08995
138582
2218875
3500275

prune33.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample364.0ms

Algorithm
intervals
Results
103.0ms8000×pre80true
99.0ms8000×body80valid