Details

Time bar (total: 3.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms332×body80valid

simplify34.0ms

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: 5.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.5b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite32.0ms

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:
18.0ms
(* (- 1.0 x) (- 3.0 x))
12.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series70.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- 1.0 x) (- 3.0 x))
47.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune129.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite56.0ms

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:
8.0ms
(/ (- 1.0 x) y)
8.0ms
(/ (- 3.0 x) 3.0)
32.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series114.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- 1.0 x) y)
39.0ms
(/ (- 3.0 x) 3.0)
43.0ms
(* (/ (- 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
25001815

prune266.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

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))

rewrite77.0ms

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:
10.0ms
(/ (- 3.0 x) 3.0)
12.0ms
(/ (/ (- 3.0 x) 3.0) y)
42.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series120.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 3.0 x) 3.0)
41.0ms
(/ (/ (- 3.0 x) 3.0) y)
43.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify102.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07941722
139861628
250021628

prune468.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

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:
8.0ms
(/ (- 1.0 x) y)
48.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
9.0ms
(/ (- 3.0 x) (cbrt 3.0))
101.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (- 1.0 x) y)
123.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
76.0ms
(/ (- 3.0 x) (cbrt 3.0))
98.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010882719
150012268

prune538.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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

sample413.0ms

Algorithm
intervals
Results
252.0ms10635×body80valid