Details

Time bar (total: 2.0s)

sample14.0ms

Algorithm
intervals
Results
3.0ms256×pre80true
3.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1273
2663
31133
41453
51653
61823
71843
81843

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))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-exp-log add-cbrt-cube
associate-*r/ associate-*l/
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:
38.0ms
(* (+ a b) (+ a b))

series13.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0195218
1958194
25002180

prune49.0ms

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
(pow (+ a b) 6)
0.5b
(cbrt (pow (+ a b) 6))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
cbrt-prod unpow-prod-down
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log pow-unpow
expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out add-log-exp sqr-pow
pow-to-exp pow-pow pow1/3 pow-exp
Counts
2 → 38
Calls
2 calls:
9.0ms
(pow (+ a b) 6)
8.0ms
(cbrt (pow (+ a b) 6))

series87.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(pow (+ a b) 6)
16.0ms
(cbrt (pow (+ a b) 6))

simplify135.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0167213
1629188
23348183
35001178

prune75.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite374.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
46×distribute-lft-out
40×unpow-prod-down cube-prod
26×swap-sqr
24×flip3-+ flip-+
20×add-exp-log add-cbrt-cube
18×pow1
16×add-sqr-sqrt frac-times
12×add-cube-cbrt associate-*r* associate-*l*
associate-*r/ associate-*l/ associate-/r/ associate-/l/
prod-exp cbrt-unprod add-log-exp
cbrt-undiv expm1-log1p-u div-exp sum-cubes log1p-expm1-u
pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr
sub-neg flip3-- distribute-rgt-out-- frac-2neg times-frac fma-neg diff-log prod-diff clear-num associate-/r* flip-- div-inv associate-/l*
Counts
4 → 162
Calls
4 calls:
9.0ms
(- (* b b) (* a b))
92.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))))
144.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
122.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* b b) (* a b))
53.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))))
53.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
53.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))

simplify147.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
07342245
144611779
250011757

prune372.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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

sample362.0ms

Algorithm
intervals
Results
106.0ms8000×pre80true
88.0ms8000×body80valid