Details

Time bar (total: 2.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms347×body80valid

simplify43.0ms

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: 5.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.7b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite43.0ms

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:
20.0ms
(* (- 1.0 x) (- 3.0 x))
19.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series73.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- 1.0 x) (- 3.0 x))
46.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0497758
12837559
25002559

prune166.0ms

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))

rewrite58.0ms

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:
12.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (- 1.0 x) y)
31.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series120.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- 3.0 x) 3.0)
37.0ms
(/ (- 1.0 x) y)
45.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0571920
12402835
25001834

prune321.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))

rewrite32.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 122
Calls
2 calls:
16.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
7.0ms
(/ (* y 3.0) (- 3.0 x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
39.0ms
(/ (* y 3.0) (- 3.0 x))

simplify80.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06431124
129341051
250011048

prune274.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.3b
(* (/ (- 1.0 x) y) (- 3.0 x))
0.4b
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×*-un-lft-identity
49×add-exp-log
42×add-cube-cbrt
40×times-frac
31×add-cbrt-cube
22×prod-exp
20×associate-*l*
18×associate-*r* prod-diff
12×div-exp cbrt-unprod
11×distribute-rgt-in frac-times distribute-lft-in
10×pow1
8×associate-*l/ distribute-lft-out-- difference-of-squares
7×cbrt-undiv flip3-- associate-*r/ flip--
5×associate-/l*
4×pow-prod-down
3×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u div-inv add-log-exp
2×sub-neg *-commutative associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num un-div-inv
Counts
3 → 164
Calls
3 calls:
12.0ms
(/ (- 1.0 x) y)
25.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
35.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

series125.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (- 1.0 x) y)
44.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
48.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08061355
139531083
250021064

prune297.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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
254.0ms10674×body80valid