Details

Time bar (total: 2.5s)

sample15.0ms

Algorithm
intervals
Results
7.0ms350×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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
12.0ms
(* (* x y) (- 1.0 y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (* x y) (- 1.0 y))

simplify29.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0167140
1840114
25002114

prune43.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:
6.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
8.0ms
(* (* x y) (- y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
32.0ms
(* (* x y) (- y))

simplify57.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0242241
11458200
25002195

prune86.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
20.1b
(cbrt (* (* x y) (- y)))
20.1b
(cbrt (* (* x y) (- y)))
20.1b
(cbrt (* (* x y) (- y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
8.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
6.0ms
(cbrt (* (* x y) (- y)))
6.0ms
(cbrt (* (* x y) (- y)))
6.0ms
(cbrt (* (* x y) (- y)))

series455.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
107.0ms
(cbrt (* (* x y) (- y)))
111.0ms
(cbrt (* (* x y) (- y)))
103.0ms
(cbrt (* (* x y) (- y)))

simplify97.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0209528
1694459
23208384
35002378

prune207.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- y))
11.3b
(cbrt (* x y))
20.1b
(cbrt (* (* x y) (- y)))
20.1b
(cbrt (* (* x y) (- y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in
neg-mul-1
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt (- y))
1.0ms
(cbrt (* x y))
6.0ms
(cbrt (* (* x y) (- y)))
6.0ms
(cbrt (* (* x y) (- y)))

series485.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (- y))
72.0ms
(cbrt (* x y))
106.0ms
(cbrt (* (* x y) (- y)))
107.0ms
(cbrt (* (* x y) (- y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (81.0ms)

IterNodesCost
0173299
1352271
2996239
33096237
45002232

prune200.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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

sample388.0ms

Algorithm
intervals
Results
214.0ms10697×body80valid