Details

Time bar (total: 2.9s)

sample17.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
3.5b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite33.0ms

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:
20.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series72.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- 1.0 x) (- 3.0 x))
45.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0413460
12310393
25001393

prune133.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:
7.0ms
(/ (- 3.0 x) 3.0)
7.0ms
(/ (- 1.0 x) y)
32.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series113.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 3.0 x) 3.0)
31.0ms
(/ (- 1.0 x) y)
46.0ms
(* (/ (- 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

prune268.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
190×add-exp-log
122×add-sqr-sqrt
105×times-frac
104×*-un-lft-identity
90×prod-exp
72×add-cbrt-cube
62×div-exp
61×add-cube-cbrt
38×cbrt-unprod
36×cbrt-prod
35×associate-*r*
30×cbrt-undiv
26×associate-*l*
20×distribute-lft-out-- difference-of-squares
12×rec-exp 1-exp
11×pow1
10×associate-/l*
9×associate-/r* unswap-sqr
6×frac-times associate-*r/
5×div-inv
4×pow-prod-down associate-*l/ associate-/l/ add-log-exp
2×flip3-- frac-2neg div-sub clear-num *-commutative flip--
Counts
4 → 257
Calls
4 calls:
7.0ms
(/ (- 1.0 x) y)
8.0ms
(/ (- 3.0 x) (cbrt 3.0))
43.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
90.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))

series329.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (- 1.0 x) y)
76.0ms
(/ (- 3.0 x) (cbrt 3.0))
119.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
97.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010882719
150012268

prune533.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×div-sub
Counts
2 → 118
Calls
2 calls:
13.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
6.0ms
(/ (* y 3.0) (- 3.0 x))

series86.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
37.0ms
(/ (* y 3.0) (- 3.0 x))

simplify71.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06291107
128751038
250011035

prune233.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes113.0ms

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

sample433.0ms

Algorithm
intervals
Results
258.0ms10619×body80valid