Details

Time bar (total: 5.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize6.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite21.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
19.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune127.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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 expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u 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 → 101
Calls
2 calls:
13.0ms
(/ 1 (- 1.0 (/ y z)))
43.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series104.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1 (- 1.0 (/ y z)))
58.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0351684
11631607
25001557

prune198.0ms

Filtered
107 candidates to 62 candidates (57.9%)
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))

rewrite281.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
242.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
27.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series175.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify80.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05972063
126631879
250011714

prune282.0ms

Filtered
205 candidates to 90 candidates (43.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 6.6b

localize12.0ms

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))

rewrite274.0ms

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×expm1-log1p-u rem-sqrt-square log1p-expm1-u 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 → 1244
Calls
4 calls:
23.0ms
(/ 1 (+ (sqrt 1.0) (sqrt (/ y z))))
94.0ms
(/ (/ 1 (+ (sqrt 1.0) (sqrt (/ y z)))) (/ (- (sqrt 1.0) (sqrt (/ y z))) (+ x y)))
3.0ms
(sqrt (/ y z))
3.0ms
(sqrt (/ y z))

series1.0s

Counts
4 → 12
Calls
4 calls:
262.0ms
(/ 1 (+ (sqrt 1.0) (sqrt (/ y z))))
672.0ms
(/ (/ 1 (+ (sqrt 1.0) (sqrt (/ y z)))) (/ (- (sqrt 1.0) (sqrt (/ y z))) (+ x y)))
53.0ms
(sqrt (/ y z))
60.0ms
(sqrt (/ y z))

simplify318.0ms

Algorithm
egg-herbie
Counts
1256 → 1256
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0291831356
1500330188

prune1.8s

Filtered
1256 candidates to 324 candidates (25.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 6.6b

regimes160.0ms

Accuracy

72.7% (0.5b remaining)

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

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03226
13226

end0.0ms

sample371.0ms

Algorithm
intervals
Results
203.0ms7996×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid