Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
8.0ms333×body80valid

simplify35.0ms

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: 7.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.8b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite29.0ms

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:
17.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series69.0ms

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))

simplify54.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune130.0ms

Pruning

5 alts after pruning (4 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))

rewrite50.0ms

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:
9.0ms
(/ (- 3.0 x) 3.0)
7.0ms
(/ (- 1.0 x) y)
28.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series114.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- 3.0 x) 3.0)
35.0ms
(/ (- 1.0 x) y)
43.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0559898
12363816
25001815

prune261.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
57×*-un-lft-identity
51×times-frac
27×add-cube-cbrt
19×associate-*r*
15×distribute-lft-out-- difference-of-squares
12×associate-*l*
10×add-exp-log add-cbrt-cube
6×div-inv
5×pow1 associate-/l* add-log-exp
4×frac-times flip3-- associate-*l/ flip--
3×associate-/r* frac-sub sub-div
2×cbrt-undiv distribute-rgt-out-- div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 116
Calls
3 calls:
16.0ms
(- (/ 1.0 y) (/ x y))
7.0ms
(/ (- 3.0 x) 3.0)
73.0ms
(* (- (/ 1.0 y) (/ x y)) (/ (- 3.0 x) 3.0))

series121.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- (/ 1.0 y) (/ x y))
38.0ms
(/ (- 3.0 x) 3.0)
55.0ms
(* (- (/ 1.0 y) (/ x y)) (/ (- 3.0 x) 3.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0446843
11852781
25002780

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))
0.3b
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
157×add-sqr-sqrt
130×*-un-lft-identity
78×add-cube-cbrt
61×add-exp-log
43×add-cbrt-cube
36×cbrt-prod
34×associate-*r*
29×associate-/l*
26×distribute-lft-out-- difference-of-squares
25×cbrt-undiv div-exp
23×associate-*l*
16×prod-exp cbrt-unprod
10×associate-/r*
9×unswap-sqr
8×div-inv
6×pow1
5×associate-/l/
4×div-sub add-log-exp
3×frac-2neg clear-num
2×flip3-- flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 251
Calls
4 calls:
7.0ms
(/ (- 1.0 x) y)
8.0ms
(/ (- 3.0 x) (cbrt 3.0))
13.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
55.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (- 1.0 x) y)
73.0ms
(/ (- 3.0 x) (cbrt 3.0))
163.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
96.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify112.0ms

Algorithm
egg-herbie
Counts
263 → 263
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09952480
148442204
250022182

prune590.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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
0116
1116

end0.0ms

sample426.0ms

Algorithm
intervals
Results
256.0ms10685×body80valid