Details

Time bar (total: 1.8s)

sample21.0ms

Algorithm
intervals
Results
11.0ms496×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1254
2274
3274

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b
(+ (* x 2.0) (* x x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
11.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms
(+ (* x 2.0) (* x x))

series90.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
59.0ms
(+ (* x 2.0) (* x x))

simplify106.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0182191
1887164
23634160
35002160

prune64.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (pow y 2) (* x (+ 2.0 x)))
0.0b
(* x (+ 2.0 x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
10.0ms
(* x (+ 2.0 x))

series78.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (pow y 2) (* x (+ 2.0 x)))
47.0ms
(* x (+ 2.0 x))

simplify36.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0195180
1967167
25002167

prune72.0ms

Filtered
42 candidates to 27 candidates (64.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 2.0 x))
0.1b
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.4b
(+ (pow y 4) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))))
25.6b
(/ (+ (pow y 4) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))) (- (pow y 2) (* x (+ 2.0 x))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
27×*-un-lft-identity
20×add-exp-log add-cbrt-cube
18×pow-prod-down
17×add-sqr-sqrt
16×associate-*r/
15×add-cube-cbrt
12×times-frac
9×distribute-rgt-in distribute-lft-in flip3-+ prod-exp cbrt-unprod flip-+
8×add-log-exp
6×distribute-lft-out
5×associate-*r*
4×frac-times associate-+r+ distribute-neg-in associate-*l* pow-sqr pow-prod-up associate-/l*
3×div-sub associate-/r*
2×neg-sub0 associate-+r- pow-plus unsub-neg associate-*l/ sum-log associate-/r/ *-commutative associate-/l/
1×cbrt-undiv +-commutative pow2 flip3-- frac-2neg swap-sqr div-exp neg-log clear-num flip-- div-inv unswap-sqr
Counts
4 → 127
Calls
4 calls:
9.0ms
(* x (+ 2.0 x))
24.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
8.0ms
(+ (pow y 4) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))))
27.0ms
(/ (+ (pow y 4) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))) (- (pow y 2) (* x (+ 2.0 x))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* x (+ 2.0 x))
34.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
73.0ms
(+ (pow y 4) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))))
96.0ms
(/ (+ (pow y 4) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))) (- (pow y 2) (* x (+ 2.0 x))))

simplify99.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
05521340
130331183
250011158

prune277.0ms

Filtered
139 candidates to 80 candidates (57.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

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
0115
1115

end0.0ms

sample525.0ms

Algorithm
intervals
Results
320.0ms14203×body80valid