Details

Time bar (total: 6.7s)

sample17.0ms

Algorithm
intervals
Results
8.0ms350×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune3.0ms

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: 4.8b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.5b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite37.0ms

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:
15.0ms
(* (- 1.0 x) (- 3.0 x))
19.0ms
(/ (* (- 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))

simplify55.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune124.0ms

Filtered
69 candidates to 47 candidates (68.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh000
Picked101
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
50×*-un-lft-identity
49×times-frac
30×add-cube-cbrt
19×associate-*r* associate-*l*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/l*
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv
2×associate-/l/ add-log-exp
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 100
Calls
2 calls:
5.0ms
(/ (- 3.0 x) 3.0)
17.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series82.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- 3.0 x) 3.0)
46.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0485695
12040629
25001628

prune184.0ms

Filtered
106 candidates to 74 candidates (69.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1033106
Fresh314
Picked101
Done000
Total1074111

Merged error: 0b

Counts
111 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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:
5.0ms
(/ (- 3.0 x) 3.0)
8.0ms
(/ (/ (- 3.0 x) 3.0) y)
23.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series124.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- 3.0 x) 3.0)
37.0ms
(/ (/ (- 3.0 x) 3.0) y)
47.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify109.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07941722
139861628
250021628

prune458.0ms

Filtered
231 candidates to 170 candidates (73.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2301231
Fresh123
Picked011
Done000
Total2314235

Merged error: 0b

Counts
235 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite485.0ms

Algorithm
rewrite-expression-head
Rules
5665×times-frac
2798×add-sqr-sqrt
2748×*-un-lft-identity
2216×add-cube-cbrt
811×associate-*r*
260×distribute-lft-out-- difference-of-squares
241×div-inv
154×add-exp-log
112×div-exp
84×associate-/r*
61×add-cbrt-cube
34×cbrt-undiv
30×1-exp associate-/r/
22×prod-exp
21×associate-/l*
16×unswap-sqr
12×rec-exp
7×cbrt-unprod
6×pow1
5×associate-*l*
4×add-log-exp
3×flip3-- frac-2neg clear-num flip-- associate-/l/
2×frac-times associate-*l/
1×div-sub associate-*r/ pow-prod-down *-commutative
Counts
4 → 1927
Calls
4 calls:
7.0ms
(/ (- 3.0 x) 3.0)
223.0ms
(* (- 1.0 x) (/ (/ 1 1) (/ y (/ (- 3.0 x) 3.0))))
8.0ms
(/ y (/ (- 3.0 x) 3.0))
34.0ms
(/ (/ 1 1) (/ y (/ (- 3.0 x) 3.0)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (- 3.0 x) 3.0)
42.0ms
(* (- 1.0 x) (/ (/ 1 1) (/ y (/ (- 3.0 x) 3.0))))
39.0ms
(/ y (/ (- 3.0 x) 3.0))
37.0ms
(/ (/ 1 1) (/ y (/ (- 3.0 x) 3.0)))

simplify281.0ms

Algorithm
egg-herbie
Counts
1939 → 1939
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
0500122578

prune3.8s

Filtered
1939 candidates to 1094 candidates (56.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New193901939
Fresh022
Picked011
Done011
Total193941943

Merged error: 0b

Counts
1943 → 4

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

sample431.0ms

Algorithm
intervals
Results
266.0ms10669×body80valid