Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
10.0ms456×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1254
2274
3274

prune3.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
10.0ms
(* x (+ 2.0 x))
3.0ms
(+ (* y y) (* x (+ 2.0 x)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (+ 2.0 x))
31.0ms
(+ (* y y) (* x (+ 2.0 x)))

simplify33.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0206183
11038169
25001169

prune70.0ms

Filtered
42 candidates to 27 candidates (64.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
0.6b
(cbrt (* x (+ 2.0 x)))
0.6b
(cbrt (* x (+ 2.0 x)))
0.6b
(cbrt (* x (+ 2.0 x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
9.0ms
(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
3.0ms
(cbrt (* x (+ 2.0 x)))
3.0ms
(cbrt (* x (+ 2.0 x)))
3.0ms
(cbrt (* x (+ 2.0 x)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
91.0ms
(cbrt (* x (+ 2.0 x)))
91.0ms
(cbrt (* x (+ 2.0 x)))
92.0ms
(cbrt (* x (+ 2.0 x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0356791
11250720
25001676

prune246.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 2.0 x))
0.0b
(+ (* y y) (cbrt (pow (* x (+ 2.0 x)) 3)))
0.2b
(pow (* x (+ 2.0 x)) 3)
37.4b
(cbrt (pow (* x (+ 2.0 x)) 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*r/ add-log-exp
4×cube-div flip3-+ associate-*r* flip-+
3×pow-unpow associate-*l*
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative distribute-rgt-in pow-to-exp distribute-lft-in pow1/3 sum-log *-commutative rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
4 → 77
Calls
4 calls:
13.0ms
(* x (+ 2.0 x))
5.0ms
(+ (* y y) (cbrt (pow (* x (+ 2.0 x)) 3)))
4.0ms
(pow (* x (+ 2.0 x)) 3)
2.0ms
(cbrt (pow (* x (+ 2.0 x)) 3))

series187.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* x (+ 2.0 x))
44.0ms
(+ (* y y) (cbrt (pow (* x (+ 2.0 x)) 3)))
44.0ms
(pow (* x (+ 2.0 x)) 3)
54.0ms
(cbrt (pow (* x (+ 2.0 x)) 3))

simplify53.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0350421
11804381
25001380

prune177.0ms

Filtered
89 candidates to 60 candidates (67.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y y) (* x (+ 2.0 x)))
0.1b
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
0.7b
(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
25.6b
(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
23×*-un-lft-identity
18×add-exp-log add-cbrt-cube
17×pow-prod-down
14×associate-*r/
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
8×flip3-+ prod-exp cbrt-unprod flip-+
5×distribute-lft-out
4×frac-times associate-+l+ distribute-neg-in pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×neg-sub0 associate-+l- flip3-- pow-plus associate-*l/ sum-log associate-/r/ flip-- associate-/l/ associate--r+
1×cbrt-undiv +-commutative pow2 sub-neg frac-2neg diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* neg-log clear-num *-commutative div-inv
Counts
4 → 114
Calls
4 calls:
3.0ms
(- (* y y) (* x (+ 2.0 x)))
24.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
11.0ms
(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
29.0ms
(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

series269.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (* y y) (* x (+ 2.0 x)))
28.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
114.0ms
(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
96.0ms
(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

simplify78.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05231343
127611176
250021160

prune240.0ms

Filtered
126 candidates to 74 candidates (58.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes51.0ms

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
0104
1104

end0.0ms

sample592.0ms

Algorithm
intervals
Results
361.0ms14390×body80valid