Details

Time bar (total: 3.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms330×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2703
3903
4973
5973

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
13.0ms
(* (* x y) (- 1.0 y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (* x y) (- 1.0 y))

simplify29.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0167140
1840114
25002114

prune44.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b
(* (* x y) (- y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
+-commutative neg-mul-1 flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 40
Calls
2 calls:
7.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
9.0ms
(* (* x y) (- y))

series114.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
36.0ms
(* (* x y) (- y))

simplify56.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0242241
11458200
25002195

prune83.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- y)) (cbrt (- y)))
0.6b
(cbrt (- y))
0.6b
(cbrt (- y))
0.6b
(cbrt (- y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
37×add-sqr-sqrt
33×*-un-lft-identity
29×add-cube-cbrt
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
15×swap-sqr
13×associate-*r* associate-*l*
11×pow1
pow1/3
neg-mul-1
add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
14.0ms
(* (cbrt (- y)) (cbrt (- y)))
1.0ms
(cbrt (- y))
1.0ms
(cbrt (- y))
2.0ms
(cbrt (- y))

series805.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(* (cbrt (- y)) (cbrt (- y)))
188.0ms
(cbrt (- y))
194.0ms
(cbrt (- y))
198.0ms
(cbrt (- y))

simplify86.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0150696
1547655
22885603
35002581

prune353.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y))
0.6b
(cbrt (- y))
0.6b
(cbrt (* (cbrt (- y)) (cbrt (- y))))
0.7b
(cbrt (cbrt (- y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
distribute-lft-neg-in distribute-rgt-neg-in
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
neg-mul-1
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt (- y))
1.0ms
(cbrt (- y))
5.0ms
(cbrt (* (cbrt (- y)) (cbrt (- y))))
2.0ms
(cbrt (cbrt (- y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt (- y))
194.0ms
(cbrt (- y))
375.0ms
(cbrt (* (cbrt (- y)) (cbrt (- y))))
332.0ms
(cbrt (cbrt (- y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 4 (78.0ms)

IterNodesCost
0115410
1221380
2656372
32336371
45002362

prune403.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1186
2246
3246

end0.0ms

sample344.0ms

Algorithm
intervals
Results
188.0ms10659×body80valid