Details

Time bar (total: 2.2s)

sample19.0ms

Algorithm
intervals
Results
10.0ms350×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21795
35125
413575
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: 4.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
3.8b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u 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 → 85
Calls
2 calls:
10.0ms
(* (- 1.0 x) (- 3.0 x))
12.0ms
(/ (* (- 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))

simplify76.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0497758
12837559
25002559

prune128.0ms

Filtered
91 candidates to 53 candidates (58.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New86591
Fresh000
Picked101
Done000
Total87592

Merged error: 0b

Counts
92 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.2b
(* (/ (- 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×expm1-log1p-u log1p-expm1-u 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 → 144
Calls
3 calls:
6.0ms
(/ (- 3.0 x) 3.0)
6.0ms
(/ (- 1.0 x) y)
16.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- 3.0 x) 3.0)
44.0ms
(/ (- 1.0 x) y)
45.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0571920
12402835
25001834

prune234.0ms

Filtered
153 candidates to 110 candidates (71.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1521153
Fresh134
Picked011
Done000
Total1535158

Merged error: 0b

Counts
158 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.3b
(/ (* y 3.0) (- 3.0 x))

rewrite24.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 122
Calls
2 calls:
11.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
6.0ms
(/ (* y 3.0) (- 3.0 x))

series84.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
37.0ms
(/ (* y 3.0) (- 3.0 x))

simplify75.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06431124
129341051
250011048

prune187.0ms

Filtered
128 candidates to 92 candidates (71.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh123
Picked011
Done011
Total1285133

Merged error: 0b

Counts
133 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
43×*-un-lft-identity
36×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1 associate-/r/
4×prod-exp cbrt-unprod
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l/ unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 114
Calls
3 calls:
5.0ms
(/ 3.0 (- 3.0 x))
12.0ms
(* y (/ 3.0 (- 3.0 x)))
12.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

series107.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 3.0 (- 3.0 x))
39.0ms
(* y (/ 3.0 (- 3.0 x)))
43.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

simplify63.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0517727
12400646
25001645

prune168.0ms

Filtered
123 candidates to 89 candidates (72.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done022
Total1235128

Merged error: 0b

Counts
128 → 5

regimes70.0ms

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

sample504.0ms

Algorithm
intervals
Results
328.0ms10559×body80valid