Details

Time bar (total: 4.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize8.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (+ 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)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203422
1616404
21805404
35001404

prune98.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.9b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite54.0ms

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)))
38.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series95.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0343664
11615588
25001538

prune159.0ms

Filtered
103 candidates to 58 candidates (56.3%)
Pruning

6 alts after pruning (4 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)))
8.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite58.0ms

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:
24.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
21.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series166.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
42.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05882041
126341860
250031696

prune253.0ms

Filtered
201 candidates to 86 candidates (42.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 6.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (+ (sqrt 1.0) (sqrt (/ y z))))
0.1b
(/ (/ 1 (+ (sqrt 1.0) (sqrt (/ y z)))) (/ (- (sqrt 1.0) (sqrt (/ y z))) (+ x y)))
11.2b
(sqrt (/ y z))
11.2b
(sqrt (/ y z))

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
2994×times-frac
2303×*-un-lft-identity
2077×add-sqr-sqrt
1132×sqrt-prod
839×add-cube-cbrt
556×distribute-lft-out
528×difference-of-squares
176×distribute-lft-out--
149×associate-/r/
77×div-inv
74×flip3-+ flip-+
55×associate-/r*
30×add-exp-log
24×associate-/l*
18×div-exp add-cbrt-cube
9×cbrt-undiv
7×pow1
4×rem-sqrt-square add-log-exp
3×rec-exp 1-exp
2×frac-2neg sqrt-pow1 pow1/2 sqrt-div clear-num
1×pow-flip associate-/l/ inv-pow
Counts
4 → 1236
Calls
4 calls:
21.0ms
(/ 1 (+ (sqrt 1.0) (sqrt (/ y z))))
89.0ms
(/ (/ 1 (+ (sqrt 1.0) (sqrt (/ y z)))) (/ (- (sqrt 1.0) (sqrt (/ y z))) (+ x y)))
2.0ms
(sqrt (/ y z))
3.0ms
(sqrt (/ y z))

series924.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(/ 1 (+ (sqrt 1.0) (sqrt (/ y z))))
604.0ms
(/ (/ 1 (+ (sqrt 1.0) (sqrt (/ y z)))) (/ (- (sqrt 1.0) (sqrt (/ y z))) (+ x y)))
46.0ms
(sqrt (/ y z))
55.0ms
(sqrt (/ y z))

simplify293.0ms

Algorithm
egg-herbie
Counts
1248 → 1248
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
0290331323
1500230157

prune1.3s

Filtered
1248 candidates to 316 candidates (25.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 6.6b

regimes132.0ms

Accuracy

72.7% (0.5b remaining)

Error of 6.3b against oracle of 5.8b and baseline of 7.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample342.0ms

Algorithm
intervals
Results
187.0ms7996×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid