Details

Time bar (total: 3.6s)

sample18.0ms

Algorithm
intervals
Results
9.0ms358×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.9b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite30.0ms

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))

series70.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (- 1.0 x) (- 3.0 x))
47.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0413460
12310393
25001393

prune135.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
50×*-un-lft-identity
49×times-frac
30×add-cube-cbrt
19×associate-*r* associate-*l*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/l*
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv
2×associate-/l/ add-log-exp
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 100
Calls
2 calls:
7.0ms
(/ (- 1.0 x) y)
29.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series74.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- 1.0 x) y)
43.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0492702
12076630
25003630

prune198.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
278×times-frac
218×add-sqr-sqrt
189×*-un-lft-identity
129×add-cube-cbrt
68×associate-*l*
61×add-exp-log
31×add-cbrt-cube
29×div-exp
28×distribute-lft-out-- difference-of-squares
26×associate-/r*
19×associate-*r*
18×associate-/r/
14×prod-exp
13×cbrt-undiv
11×div-inv
10×unswap-sqr
8×flip3-- flip--
6×pow1 rec-exp 1-exp cbrt-unprod associate-/l*
3×add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 274
Calls
3 calls:
5.0ms
(/ y (- 1.0 x))
12.0ms
(/ 1 (/ y (- 1.0 x)))
58.0ms
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

series112.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (- 1.0 x))
24.0ms
(/ 1 (/ y (- 1.0 x)))
56.0ms
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010722229
150011946

prune520.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- 1.0 x))
0.2b
(/ (/ (- 3.0 x) 3.0) (/ y (- 1.0 x)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
1044×times-frac
650×add-sqr-sqrt *-un-lft-identity
390×add-cube-cbrt
130×distribute-lft-out-- difference-of-squares
44×div-inv
43×associate-/r/
26×associate-/r*
22×associate-/l*
21×flip3-- flip--
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-/l/
Counts
2 → 497
Calls
2 calls:
5.0ms
(/ y (- 1.0 x))
25.0ms
(/ (/ (- 3.0 x) 3.0) (/ y (- 1.0 x)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ y (- 1.0 x))
44.0ms
(/ (/ (- 3.0 x) 3.0) (/ y (- 1.0 x)))

simplify109.0ms

Algorithm
egg-herbie
Counts
503 → 503
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
021946882
150036796

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample435.0ms

Algorithm
intervals
Results
269.0ms10751×body80valid