Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize6.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ 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)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (+ 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

prune118.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
7.1b
(* (+ 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))))

series92.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify40.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0343664
11615588
25001538

prune177.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
23.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
20.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series163.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
39.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05882041
126341860
250031696

prune258.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
2.3b
(* (+ x y) (* (sqrt (/ 1 (- 1.0 (/ y z)))) (sqrt (/ 1 (- 1.0 (/ y z))))))
7.2b
(sqrt (/ 1 (- 1.0 (/ y z))))
7.2b
(sqrt (/ 1 (- 1.0 (/ y z))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
68×times-frac
60×*-un-lft-identity
48×sqrt-prod
36×add-cube-cbrt
20×difference-of-squares
14×pow1 sqrt-div
13×add-exp-log
11×add-cbrt-cube
10×distribute-lft-out--
9×frac-times
6×rem-sqrt-square sqrt-pow1 associate-*r/ associate-/r* associate-/r/
5×associate-*l/
4×flip3-+ associate-*l* flip-+ add-log-exp
3×flip3-- pow-flip pow-prod-down prod-exp flip-- cbrt-unprod div-inv associate-/l* inv-pow
2×pow1/2 div-exp
1×cbrt-undiv rec-exp frac-2neg 1-exp associate-*r* clear-num *-commutative distribute-lft-out unswap-sqr
Counts
4 → 154
Calls
4 calls:
14.0ms
(/ 1 (- 1.0 (/ y z)))
74.0ms
(* (+ x y) (* (sqrt (/ 1 (- 1.0 (/ y z)))) (sqrt (/ 1 (- 1.0 (/ y z))))))
13.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
13.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 1 (- 1.0 (/ y z)))
55.0ms
(* (+ x y) (* (sqrt (/ 1 (- 1.0 (/ y z)))) (sqrt (/ 1 (- 1.0 (/ y z))))))
146.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
140.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03801283
113771104
250011014

prune312.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.7b

regimes320.0ms

Accuracy

54.7% (0.9b remaining)

Error of 6.4b against oracle of 5.5b and baseline of 7.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample643.0ms

Algorithm
intervals
Results
471.0ms7998×body80valid
0.0ms2×body1280valid