Details

Time bar (total: 2.1s)

sample19.0ms

Algorithm
intervals
Results
10.0ms342×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.4b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
9.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series68.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (- 1.0 x) (- 3.0 x))
46.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0413460
12310393
25001393

prune126.0ms

Filtered
69 candidates to 47 candidates (68.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New65469
Fresh000
Picked101
Done000
Total66470

Merged error: 0b

Counts
70 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
5.0ms
(/ (- 3.0 x) 3.0)
7.0ms
(/ (- 1.0 x) y)
16.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series111.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (- 3.0 x) 3.0)
34.0ms
(/ (- 1.0 x) y)
42.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0559898
12363816
25002815

prune247.0ms

Filtered
147 candidates to 104 candidates (70.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1461147
Fresh123
Picked011
Done000
Total1474151

Merged error: 0b

Counts
151 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.2b
(/ (* y 3.0) (- 3.0 x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
68×add-sqr-sqrt *-un-lft-identity
28×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
16×add-exp-log associate-/r* add-cbrt-cube
15×associate-/r/
8×flip3-- flip-- div-inv
7×cbrt-undiv div-exp
6×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×div-sub
Counts
2 → 118
Calls
2 calls:
10.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
6.0ms
(/ (* y 3.0) (- 3.0 x))

series80.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
36.0ms
(/ (* y 3.0) (- 3.0 x))

simplify68.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06291107
128751038
250011035

prune183.0ms

Filtered
124 candidates to 88 candidates (71.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh022
Picked011
Done011
Total1244128

Merged error: 0b

Counts
128 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.2b
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
0.3b
(* (/ (- 1.0 x) y) (- 3.0 x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
19×add-exp-log associate-*l* add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×associate-/l/
6×cbrt-undiv div-exp associate-/r* associate-/l*
5×pow1 flip3-- associate-*r* flip--
4×frac-times associate-*r/ prod-exp cbrt-unprod
3×div-inv add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*l/ clear-num unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 114
Calls
3 calls:
6.0ms
(/ (- 1.0 x) y)
11.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
12.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

series117.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (- 1.0 x) y)
47.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
39.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

simplify59.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0509749
12284664
25001664

prune158.0ms

Filtered
123 candidates to 85 candidates (69.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done022
Total1234127

Merged error: 0b

Counts
127 → 4

regimes67.0ms

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
0105
1105

end0.0ms

sample487.0ms

Algorithm
intervals
Results
308.0ms10636×body80valid

Profiling

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