Details

Time bar (total: 2.2s)

sample18.0ms

Algorithm
intervals
Results
9.0ms344×body80valid

simplify36.0ms

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: 8.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
7.5b
(/ (* (- 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))

series69.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (- 1.0 x) (- 3.0 x))
47.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0413460
12310393
25001393

prune125.0ms

Filtered
69 candidates to 47 candidates (68.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh000
Picked101
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize11.0ms

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×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:
6.0ms
(/ (- 3.0 x) 3.0)
6.0ms
(/ (- 1.0 x) y)
17.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series119.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 3.0 x) 3.0)
33.0ms
(/ (- 1.0 x) y)
50.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0559898
12363816
25001815

prune229.0ms

Filtered
147 candidates to 104 candidates (70.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1443147
Fresh415
Picked011
Done000
Total1485153

Merged error: 0b

Counts
153 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(* (- 3.0 x) (/ 1 3.0))
0.2b
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×add-exp-log
47×*-un-lft-identity
41×times-frac
31×add-cbrt-cube
30×add-cube-cbrt
24×associate-*l*
22×prod-exp
14×associate-*r*
12×frac-times div-exp cbrt-unprod
10×pow1
9×associate-*r/
8×distribute-lft-out-- difference-of-squares
7×cbrt-undiv flip3-- associate-*l/ flip--
5×associate-/l*
4×pow-prod-down
3×rec-exp 1-exp associate-/r* un-div-inv div-inv add-log-exp unswap-sqr
2×*-commutative associate-/l/
1×frac-2neg div-sub clear-num
Counts
3 → 139
Calls
3 calls:
6.0ms
(/ (- 1.0 x) y)
13.0ms
(* (- 3.0 x) (/ 1 3.0))
15.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- 1.0 x) y)
42.0ms
(* (- 3.0 x) (/ 1 3.0))
44.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0640912
12976773
25001761

prune202.0ms

Filtered
148 candidates to 97 candidates (65.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1480148
Fresh033
Picked011
Done011
Total1485153

Merged error: 0b

Counts
153 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.3b
(* (/ (- 1.0 x) y) (- 3.0 x))
0.4b
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
49×add-exp-log
46×*-un-lft-identity
40×times-frac
31×add-cbrt-cube
30×add-cube-cbrt
22×prod-exp
20×associate-*l*
18×associate-*r*
12×div-exp cbrt-unprod
11×frac-times
10×pow1
8×associate-*l/ distribute-lft-out-- difference-of-squares
7×cbrt-undiv flip3-- associate-*r/ flip--
5×associate-/l*
4×pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num un-div-inv
Counts
3 → 140
Calls
3 calls:
6.0ms
(/ (- 1.0 x) y)
11.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
14.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

series123.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 1.0 x) y)
39.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
49.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06731005
13278865
25001852

prune194.0ms

Filtered
149 candidates to 95 candidates (63.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1490149
Fresh022
Picked011
Done022
Total1495154

Merged error: 0b

Counts
154 → 5

regimes51.0ms

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

sample448.0ms

Algorithm
intervals
Results
282.0ms10603×body80valid