Details

Time bar (total: 4.9s)

sample40.0ms

Algorithm
intervals
Results
23.0ms719×body80valid

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1303
2733
32173
48193
542433
650013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow x 4.0) (pow y 4.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
53×unpow-prod-down
49×prod-diff
43×add-sqr-sqrt
35×*-un-lft-identity
31×add-cube-cbrt
21×sqr-pow
9×difference-of-squares
7×fma-neg
3×add-log-exp
2×distribute-lft-out--
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 81
Calls
1 calls:
13.0ms
(- (pow x 4.0) (pow y 4.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(- (pow x 4.0) (pow y 4.0))

simplify145.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
03151099
1873775
24757725
35001720

prune133.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
0.3b
(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
12.5b
(sqrt (pow y 4.0))
12.5b
(sqrt (pow y 4.0))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
140×prod-diff
121×sqrt-prod
120×unpow-prod-down
117×add-sqr-sqrt
100×*-un-lft-identity
94×add-cube-cbrt
72×distribute-rgt-in distribute-lft-in
46×sqr-pow
16×associate-*r*
12×difference-of-squares
7×fma-def
6×pow1 add-exp-log rem-sqrt-square add-cbrt-cube add-log-exp
4×expm1-log1p-u frac-times flip3-+ associate-*l* flip-+ log1p-expm1-u
3×flip3-- flip--
2×sub-neg sqrt-pow1 pow1/2 associate-*r/ associate-*l/ distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 249
Calls
4 calls:
11.0ms
(+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
89.0ms
(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
5.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow y 4.0))

series818.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
64.0ms
(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
356.0ms
(sqrt (pow y 4.0))
358.0ms
(sqrt (pow y 4.0))

simplify140.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011596462
148625013
250015013

prune471.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

12.5b
(sqrt (pow y 4.0))
12.5b
(sqrt (pow y 4.0))
12.5b
(sqrt (pow y 4.0))
12.5b
(sqrt (pow y 4.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-prod
20×add-sqr-sqrt
16×unpow-prod-down
12×add-cube-cbrt rem-sqrt-square *-un-lft-identity
8×sqr-pow
4×pow1 add-exp-log expm1-log1p-u sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 84
Calls
4 calls:
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow y 4.0))
2.0ms
(sqrt (pow y 4.0))

series1.4s

Counts
4 → 12
Calls
4 calls:
342.0ms
(sqrt (pow y 4.0))
349.0ms
(sqrt (pow y 4.0))
339.0ms
(sqrt (pow y 4.0))
347.0ms
(sqrt (pow y 4.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
078356
1146344
2343344
3971344
43664344
55002344

prune361.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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
063

end0.0ms

sample890.0ms

Algorithm
intervals
Results
553.0ms20420×body80valid