Details

Time bar (total: 2.9s)

sample11.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

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
(+ x (/ y 500.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
10.0ms
(+ x (/ y 500.0))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(+ x (/ y 500.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07958
120353
247753
3128453
4389553
5500253

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y 500.0))
0.3b
(* (/ y 500.0) (/ y 500.0))
2.1b
(- (* x x) (* (/ y 500.0) (/ y 500.0)))
27.4b
(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- x (/ y 500.0)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
70×times-frac
56×*-un-lft-identity
44×add-cube-cbrt
20×difference-of-squares
18×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
8×add-log-exp
6×associate-/r* distribute-lft-out--
5×cbrt-undiv div-exp div-inv
4×flip3-- prod-exp flip-- cbrt-unprod associate-/l* unswap-sqr
2×sub-neg diff-log associate-/r/ associate-/l/
1×pow2 frac-times frac-2neg pow-plus div-sub associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 146
Calls
4 calls:
10.0ms
(- x (/ y 500.0))
21.0ms
(* (/ y 500.0) (/ y 500.0))
8.0ms
(- (* x x) (* (/ y 500.0) (/ y 500.0)))
38.0ms
(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- x (/ y 500.0)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- x (/ y 500.0))
28.0ms
(* (/ y 500.0) (/ y 500.0))
40.0ms
(- (* x x) (* (/ y 500.0) (/ y 500.0)))
69.0ms
(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- x (/ y 500.0)))

simplify92.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06421283
133701150
250021132

prune294.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.1b
(- (* x x) (* (/ y 500.0) (/ y 500.0)))
2.1b
(+ (* (/ y 500.0) (/ y 500.0)) (* x (/ y 500.0)))
27.4b
(* (/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- (pow x 3) (pow (/ y 500.0) 3))) (+ (* x x) (+ (* (/ y 500.0) (/ y 500.0)) (* x (/ y 500.0)))))
38.4b
(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- (pow x 3) (pow (/ y 500.0) 3)))

rewrite447.0ms

Algorithm
rewrite-expression-head
Rules
501×add-sqr-sqrt
337×times-frac
284×difference-of-squares
172×*-un-lft-identity
162×unpow-prod-down cube-prod
138×associate-*l*
90×sqr-pow
82×add-cube-cbrt
45×distribute-lft-out--
33×associate-/r*
11×add-exp-log add-cbrt-cube
9×difference-cubes
8×add-log-exp
6×pow1 associate-*r/
4×flip3-- associate-/r/ flip-- associate-/l*
3×frac-times flip3-+ associate-*r* frac-add flip-+
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in sub-neg distribute-rgt-out frac-2neg distribute-lft-in diff-log div-sub pow-prod-down clear-num sum-log *-commutative
Counts
4 → 377
Calls
4 calls:
8.0ms
(- (* x x) (* (/ y 500.0) (/ y 500.0)))
14.0ms
(+ (* (/ y 500.0) (/ y 500.0)) (* x (/ y 500.0)))
306.0ms
(* (/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- (pow x 3) (pow (/ y 500.0) 3))) (+ (* x x) (+ (* (/ y 500.0) (/ y 500.0)) (* x (/ y 500.0)))))
90.0ms
(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- (pow x 3) (pow (/ y 500.0) 3)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* x x) (* (/ y 500.0) (/ y 500.0)))
43.0ms
(+ (* (/ y 500.0) (/ y 500.0)) (* x (/ y 500.0)))
171.0ms
(* (/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- (pow x 3) (pow (/ y 500.0) 3))) (+ (* x x) (+ (* (/ y 500.0) (/ y 500.0)) (* x (/ y 500.0)))))
68.0ms
(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- (pow x 3) (pow (/ y 500.0) 3)))

simplify83.0ms

Algorithm
egg-herbie
Counts
389 → 389
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015427163
150016973

prune894.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

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
062
162

end0.0ms

sample275.0ms

Algorithm
intervals
Results
112.0ms8000×body80valid