Details

Time bar (total: 2.5s)

sample19.0ms

Algorithm
intervals
Results
9.0ms344×body80valid

simplify53.0ms

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: 8.1b

Counts
2 → 1

localize8.0ms

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))

rewrite32.0ms

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:
11.0ms
(* (- 1.0 x) (- 3.0 x))
18.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series79.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 x) (- 3.0 x))
48.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify94.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0497758
12837559
25002559

prune163.0ms

Filtered
91 candidates to 53 candidates (58.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New85691
Fresh000
Picked101
Done000
Total86692

Merged error: 0.0b

Counts
92 → 6

localize8.0ms

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))

rewrite40.0ms

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:
10.0ms
(/ (- 3.0 x) 3.0)
7.0ms
(/ (- 1.0 x) y)
18.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- 3.0 x) 3.0)
41.0ms
(/ (- 1.0 x) y)
49.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0571920
12402835
25001834

prune280.0ms

Filtered
153 candidates to 110 candidates (71.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1503153
Fresh415
Picked011
Done000
Total1545159

Merged error: 0b

Counts
159 → 5

localize9.0ms

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)))

rewrite43.0ms

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×expm1-log1p-u rec-exp 1-exp associate-/r* un-div-inv log1p-expm1-u div-inv add-log-exp unswap-sqr
2×*-commutative associate-/l/
1×frac-2neg div-sub clear-num
Counts
3 → 145
Calls
3 calls:
10.0ms
(/ (- 1.0 x) y)
10.0ms
(* (- 3.0 x) (/ 1 3.0))
17.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (- 1.0 x) y)
45.0ms
(* (- 3.0 x) (/ 1 3.0))
49.0ms
(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))

simplify85.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0653936
13016794
25002782

prune234.0ms

Filtered
154 candidates to 103 candidates (66.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh033
Picked011
Done011
Total1545159

Merged error: 0b

Counts
159 → 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))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×*-un-lft-identity
49×add-exp-log
42×add-cube-cbrt
40×times-frac
31×add-cbrt-cube
22×prod-exp
20×associate-*l*
18×associate-*r* prod-diff
12×div-exp cbrt-unprod
11×distribute-rgt-in frac-times distribute-lft-in
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×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u div-inv add-log-exp
2×sub-neg *-commutative associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num un-div-inv
Counts
3 → 164
Calls
3 calls:
7.0ms
(/ (- 1.0 x) y)
13.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
16.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

series127.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 1.0 x) y)
40.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
50.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
08061355
139531083
250021064

prune231.0ms

Filtered
173 candidates to 103 candidates (59.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1730173
Fresh022
Picked011
Done022
Total1735178

Merged error: 0b

Counts
178 → 5

regimes59.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1105

end0.0ms

sample449.0ms

Algorithm
intervals
Results
274.0ms10603×body80valid