Details

Time bar (total: 4.3s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify9.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.7b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

9.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite13.0ms

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:
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune132.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh000
Picked011
Done000
Total48856

Merged error: 8.0b

Counts
56 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
9.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite31.0ms

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:
9.0ms
(/ 1 (- 1.0 (/ y z)))
17.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series103.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1 (- 1.0 (/ y z)))
57.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify61.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0351684
11631607
25001557

prune169.0ms

Filtered
107 candidates to 63 candidates (58.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh066
Picked011
Done011
Total1078115

Merged error: 8.0b

Counts
115 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
10.0b
(cbrt (- 1.0 (/ y z)))
10.0b
(cbrt (- 1.0 (/ y z)))
10.0b
(cbrt (- 1.0 (/ y z)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
62×*-un-lft-identity
58×times-frac
49×add-exp-log
45×cbrt-prod
42×associate-*r*
27×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
14×difference-of-squares
10×flip3-- associate-/r/ flip--
9×distribute-lft-out unswap-sqr
8×cbrt-unprod
7×cbrt-undiv distribute-lft-out--
6×pow1
5×frac-times
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
48.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
7.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
7.0ms
(cbrt (- 1.0 (/ y z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
325.0ms
(cbrt (- 1.0 (/ y z)))
338.0ms
(cbrt (- 1.0 (/ y z)))
326.0ms
(cbrt (- 1.0 (/ y z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06622107
132051863
250011702

prune398.0ms

Filtered
166 candidates to 113 candidates (68.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1660166
Fresh055
Picked011
Done022
Total1668174

Merged error: 8.0b

Counts
174 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
9.7b
(/ (+ x y) (- 1.0 (/ y z)))
9.7b
(/ (+ x y) (- 1.0 (/ y z)))
9.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
143×*-un-lft-identity
115×times-frac
51×add-cube-cbrt
38×difference-of-squares
30×cbrt-prod
27×distribute-lft-out
19×distribute-lft-out--
18×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 197
Calls
4 calls:
10.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series557.0ms

Counts
4 → 12
Calls
4 calls:
384.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
58.0ms
(/ (+ x y) (- 1.0 (/ y z)))
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))
62.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify144.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
03851814
111081749
243591745
350011744

prune525.0ms

Filtered
209 candidates to 144 candidates (68.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2090209
Fresh044
Picked011
Done033
Total2098217

Merged error: 8.0b

Counts
217 → 8

regimes160.0ms

Accuracy

50.9% (0.9b remaining)

Error of 6.7b against oracle of 5.8b and baseline of 7.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample406.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid