Details

Time bar (total: 2.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms326×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.7b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite21.0ms

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:
8.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(* (- 1.0 x) (- 3.0 x))
7.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0413460
12310393
25001393

prune102.0ms

Filtered
47 candidates to 69 candidates (-46.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh000
Picked101
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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
(/ (- 1.0 x) y)
5.0ms
(/ (- 3.0 x) 3.0)
16.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (- 1.0 x) y)
4.0ms
(/ (- 3.0 x) 3.0)
7.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0559898
12363816
25002815

prune192.0ms

Filtered
103 candidates to 147 candidates (-42.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1443147
Fresh235
Picked011
Done000
Total1467153

Merged error: 0b

Counts
153 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1 associate-*l*
3×flip3-- div-sub prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 222
Calls
3 calls:
6.0ms
(/ (- 3.0 x) 3.0)
25.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
8.0ms
(/ (/ (- 3.0 x) 3.0) y)

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (- 3.0 x) 3.0)
7.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
5.0ms
(/ (/ (- 3.0 x) 3.0) y)

simplify108.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07941722
139861628
250011628

prune503.0ms

Filtered
170 candidates to 231 candidates (-35.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2301231
Fresh145
Picked101
Done011
Total2326238

Merged error: 0b

Counts
238 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* 0.3333333333333333 x))
0.1b
(* (- 1.0 x) (/ (- 1.0 (* 0.3333333333333333 x)) y))
0.1b
(/ (- 1.0 (* 0.3333333333333333 x)) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 associate-*l* add-log-exp
4×flip3-- flip--
3×associate-/r* associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 80
Calls
3 calls:
3.0ms
(- 1.0 (* 0.3333333333333333 x))
9.0ms
(* (- 1.0 x) (/ (- 1.0 (* 0.3333333333333333 x)) y))
5.0ms
(/ (- 1.0 (* 0.3333333333333333 x)) y)

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (* 0.3333333333333333 x))
7.0ms
(* (- 1.0 x) (/ (- 1.0 (* 0.3333333333333333 x)) y))
5.0ms
(/ (- 1.0 (* 0.3333333333333333 x)) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351580
11550522
25001522

prune97.0ms

Filtered
65 candidates to 89 candidates (-36.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh044
Picked011
Done011
Total89695

Merged error: 0b

Counts
95 → 6

regimes163.0ms

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

sample589.0ms

Algorithm
intervals
Results
313.0ms10556×body80valid

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