Details

Time bar (total: 3.6s)

sample27.0ms

Algorithm
intervals
Results
12.0ms441×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1254
2274
3274

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
4.0ms
(+ (* y y) (* x (+ 2.0 x)))
6.0ms
(* x (+ 2.0 x))

series90.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* y y) (* x (+ 2.0 x)))
55.0ms
(* x (+ 2.0 x))

simplify36.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0206183
11038169
25002169

prune83.0ms

Filtered
42 candidates to 27 candidates (35.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New40242
Fresh011
Picked101
Done000
Total41344

Merged error: 0b

Counts
44 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:
5.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms
(+ (* x 2.0) (* x x))

series102.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
67.0ms
(+ (* x 2.0) (* x x))

simplify97.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0182191
1887164
23634160
35002160

prune61.0ms

Filtered
31 candidates to 23 candidates (25.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31031
Fresh022
Picked011
Done000
Total31334

Merged error: 0b

Counts
34 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series807.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(* (cbrt x) (cbrt x))
198.0ms
(cbrt x)
195.0ms
(cbrt x)
193.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune300.0ms

Filtered
85 candidates to 64 candidates (24.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 2.0 x))
0.1b
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.6b
(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
27.2b
(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

rewrite43.0ms

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-+l+ distribute-neg-in associate-*l* pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×neg-sub0 associate-+l- pow-plus associate-*l/ sum-log associate-/r/ *-commutative associate-/l/
1×cbrt-undiv +-commutative pow2 flip3-- frac-2neg div-sub swap-sqr div-exp neg-log clear-num flip-- div-inv unswap-sqr
Counts
4 → 123
Calls
4 calls:
6.0ms
(* x (+ 2.0 x))
11.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
9.0ms
(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
13.0ms
(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

series325.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* x (+ 2.0 x))
40.0ms
(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
108.0ms
(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
122.0ms
(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

simplify87.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05251318
129651157
250011141

prune496.0ms

Filtered
135 candidates to 80 candidates (40.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh000
Picked011
Done022
Total1353138

Merged error: 0b

Counts
138 → 3

regimes187.0ms

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

sample711.0ms

Algorithm
intervals
Results
378.0ms14079×body80valid

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