Details

Time bar (total: 3.9s)

sample24.0ms

Algorithm
intervals
Results
15.0ms348×body80valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21795
35125
413575
550015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize7.0ms

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
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u 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 → 85
Calls
2 calls:
19.0ms
(* (- 1.0 x) (- 3.0 x))
15.0ms
(/ (* (- 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))

simplify81.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0497758
12837559
25002559

prune158.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite52.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 144
Calls
3 calls:
9.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (- 1.0 x) y)
30.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series117.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- 3.0 x) 3.0)
32.0ms
(/ (- 1.0 x) y)
47.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0571920
12402835
25001834

prune287.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite98.0ms

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×expm1-log1p-u div-sub log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×flip3-- flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 259
Calls
4 calls:
8.0ms
(/ (- 1.0 x) y)
9.0ms
(/ (- 3.0 x) (cbrt 3.0))
13.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
56.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (- 1.0 x) y)
79.0ms
(/ (- 3.0 x) (cbrt 3.0))
174.0ms
(/ (/ (- 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)))

simplify115.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010112528
148932249
250012249

prune646.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

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) (/ (- 3.0 x) (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) (cbrt 3.0)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
99×*-un-lft-identity
98×times-frac
61×add-exp-log
59×add-cube-cbrt
44×add-cbrt-cube
35×cbrt-prod
34×associate-*r*
24×cbrt-undiv div-exp
20×distribute-lft-out-- difference-of-squares
19×associate-*l*
17×prod-exp cbrt-unprod
11×associate-/l*
10×associate-/r*
7×associate-/l/
6×pow1 unswap-sqr
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×frac-times flip3-- div-sub associate-*r/ associate-*l/ flip--
1×pow-prod-down *-commutative
Counts
4 → 217
Calls
4 calls:
9.0ms
(/ (- 1.0 x) y)
10.0ms
(/ (- 3.0 x) (cbrt 3.0))
14.0ms
(/ (* (/ (- 1.0 x) y) (/ (- 3.0 x) (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0)))
40.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) (cbrt 3.0)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (- 1.0 x) y)
76.0ms
(/ (- 3.0 x) (cbrt 3.0))
94.0ms
(/ (* (/ (- 1.0 x) y) (/ (- 3.0 x) (cbrt 3.0))) (* (cbrt 3.0) (cbrt 3.0)))
104.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) (cbrt 3.0)))

simplify100.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08851970
139911702
250011648

prune508.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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

sample638.0ms

Algorithm
intervals
Results
470.0ms10581×body80valid