Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms327×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1203
2223
3223

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* y y))
7.1b
(* x (+ 1.0 (* y y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*r* associate-*l*
flip3-+ associate-*r/ flip-+
+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ 1.0 (* y y))
7.0ms
(* x (+ 1.0 (* y y)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ 1.0 (* y y))
50.0ms
(* x (+ 1.0 (* y y)))

simplify110.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0168171
1790152
23413149
35001149

prune72.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 7.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y y)))
12.7b
(* x (* y y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 31
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (* y y)))
6.0ms
(* x (* y y))

series94.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* x 1.0) (* x (* y y)))
30.0ms
(* x (* y y))

simplify77.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0167162
1633137
22466134
35001134

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ (* x 1.0) (* (* x y) y))
6.0ms
(* (* x y) y)

series93.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* x 1.0) (* (* x y) y))
32.0ms
(* (* x y) y)

simplify136.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0174161
1815137
24140129
35001128

prune58.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

6.0b
(+ (* 1.0 (- 1.0 (* y y))) (pow y 4))
7.1b
(* x (/ (+ (pow 1.0 3) (pow y 6)) (+ (* 1.0 (- 1.0 (* y y))) (pow y 4))))
13.6b
(/ (+ (pow 1.0 3) (pow y 6)) (+ (* 1.0 (- 1.0 (* y y))) (pow y 4)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out
pow1 add-log-exp
associate-+l+ flip3-+ associate-/r/ flip-+ associate-/l*
associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 87
Calls
3 calls:
7.0ms
(+ (* 1.0 (- 1.0 (* y y))) (pow y 4))
65.0ms
(* x (/ (+ (pow 1.0 3) (pow y 6)) (+ (* 1.0 (- 1.0 (* y y))) (pow y 4))))
40.0ms
(/ (+ (pow 1.0 3) (pow y 6)) (+ (* 1.0 (- 1.0 (* y y))) (pow y 4)))

series452.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* 1.0 (- 1.0 (* y y))) (pow y 4))
226.0ms
(* x (/ (+ (pow 1.0 3) (pow y 6)) (+ (* 1.0 (- 1.0 (* y y))) (pow y 4))))
188.0ms
(/ (+ (pow 1.0 3) (pow y 6)) (+ (* 1.0 (- 1.0 (* y y))) (pow y 4)))

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03741168
117231049
250011048

prune263.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample333.0ms

Algorithm
intervals
Results
182.0ms10636×body80valid