Details

Time bar (total: 1.7s)

sample32.0ms

Algorithm
intervals
Results
14.0ms478×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0389
1389

prune7.0ms

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
(+ (* x x) (* y (* y 3)))
0.2b
(* y (* y 3))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* x x) (* y (* y 3)))
5.0ms
(* y (* y 3))

series10.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x x) (* y (* y 3)))
3.0ms
(* y (* y 3))

simplify45.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04981279
14981279

prune42.0ms

Filtered
21 candidates to 35 candidates (-66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh101
Picked011
Done000
Total33437

Merged error: 0.0b

Counts
37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* (* y y) 3))
0.2b
(* (* y y) 3)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ (* x x) (* (* y y) 3))
5.0ms
(* (* y y) 3)

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x x) (* (* y y) 3))
3.0ms
(* (* y y) 3)

simplify49.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04936289
14936289

prune39.0ms

Filtered
22 candidates to 36 candidates (-63.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh022
Picked011
Done011
Total36440

Merged error: 0.0b

Counts
40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms

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 y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series90.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt y) (cbrt y))
21.0ms
(cbrt y)
23.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05837334

prune69.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done022
Total85489

Merged error: 0.0b

Counts
89 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow y 4) -9)
0.2b
(* y (* y -3))
2.0b
(+ (pow x 4) (* (pow y 4) -9))
35.0b
(/ (+ (pow x 4) (* (pow y 4) -9)) (+ (* x x) (* y (* y -3))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
10×associate-*l*
9×pow1 times-frac
6×prod-exp add-log-exp
4×unpow-prod-down associate-*r* cbrt-unprod
3×flip3-+ pow-prod-down associate-/r* flip-+ associate-/l* unswap-sqr
2×associate-/r/ *-commutative associate-/l/ sqr-pow
1×cbrt-undiv +-commutative pow-to-exp frac-2neg div-exp pow-exp clear-num sum-log div-inv
Counts
4 → 85
Calls
4 calls:
5.0ms
(* (pow y 4) -9)
5.0ms
(* y (* y -3))
4.0ms
(+ (pow x 4) (* (pow y 4) -9))
9.0ms
(/ (+ (pow x 4) (* (pow y 4) -9)) (+ (* x x) (* y (* y -3))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (pow y 4) -9)
3.0ms
(* y (* y -3))
9.0ms
(+ (pow x 4) (* (pow y 4) -9))
16.0ms
(/ (+ (pow x 4) (* (pow y 4) -9)) (+ (* x x) (* y (* y -3))))

simplify65.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050991168

prune141.0ms

Filtered
67 candidates to 97 candidates (-44.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done033
Total974101

Merged error: 0.0b

Counts
101 → 4

regimes143.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

sample765.0ms

Algorithm
intervals
Results
405.0ms14188×body80valid

Profiling

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