Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21814404
35001404

prune143.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (- 1.0 (/ y z)))
7.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
12.0ms
(/ 1 (- 1.0 (/ y z)))
39.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series93.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0343664
11615588
25001538

prune185.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
22.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
20.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series160.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
40.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05882041
126341860
250031696

prune263.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
0.0b
(/ 1.0 (+ x y))
0.2b
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
9.6b
(/ (/ y z) (+ x y))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
271×times-frac
252×*-un-lft-identity
201×add-sqr-sqrt
96×add-cube-cbrt
38×distribute-lft-out
35×distribute-lft-out--
30×difference-of-squares
28×associate-/r/
27×associate-/r*
19×associate-/l*
18×div-inv
15×add-exp-log distribute-rgt-out--
13×add-cbrt-cube
12×flip3-+ flip-+
6×div-exp add-log-exp
5×pow1 cbrt-undiv
3×frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp associate-/l/ inv-pow
Counts
4 → 248
Calls
4 calls:
74.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
5.0ms
(/ 1.0 (+ x y))
122.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
9.0ms
(/ (/ y z) (+ x y))

series328.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
38.0ms
(/ 1.0 (+ x y))
125.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
44.0ms
(/ (/ y z) (+ x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07252353
129592244
250012164

prune459.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

90.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02719
12719

end0.0ms

sample550.0ms

Algorithm
intervals
Results
383.0ms8000×body80valid