Details

Time bar (total: 1.9s)

sample30.0ms

Algorithm
intervals
Results
21.0ms363×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))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (* x y) (- 1.0 y))

simplify30.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0167140
1840114
25002114

prune41.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))
9.0ms
(* (* x y) (- y))

series110.0ms

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

prune90.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (pow (* -1 (* x (pow y 2))) 1))
9.1b
(* x (pow y 2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-exp
pow1 unpow2 sqr-pow
+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
7.0ms
(+ (* (* x y) 1.0) (pow (* -1 (* x (pow y 2))) 1))
6.0ms
(* x (pow y 2))

series109.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(+ (* (* x y) 1.0) (pow (* -1 (* x (pow y 2))) 1))
30.0ms
(* x (pow y 2))

simplify41.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0202248
1986205
25001189

prune101.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 1.0) (* y y))
1.2b
(* (* x y) (- (* 1.0 1.0) (* y y)))
6.1b
(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×*-un-lft-identity
pow1
add-sqr-sqrt add-cube-cbrt prod-exp cbrt-unprod
add-log-exp
times-frac associate-*r/ associate-*r* associate-/r*
cbrt-undiv sub-neg flip3-- div-exp pow-prod-down flip--
distribute-rgt-in distribute-lft-in associate-/r/ associate-/l/ distribute-lft-out difference-of-squares
frac-2neg flip3-+ diff-log associate-*l* clear-num *-commutative flip-+ div-inv associate-/l*
Counts
3 → 67
Calls
3 calls:
3.0ms
(- (* 1.0 1.0) (* y y))
15.0ms
(* (* x y) (- (* 1.0 1.0) (* y y)))
14.0ms
(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series220.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* 1.0 1.0) (* y y))
74.0ms
(* (* x y) (- (* 1.0 1.0) (* y y)))
107.0ms
(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify65.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0374581
12111466
25002466

prune146.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

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

sample673.0ms

Algorithm
intervals
Results
503.0ms10695×body80valid