Details

Time bar (total: 3.6s)

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: 6.7b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

6.7b
(/ (+ 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:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series50.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune131.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New46955
Fresh000
Picked101
Done000
Total47956

Merged error: 4.7b

Counts
56 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (- 1.0 (/ y z)))
6.4b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite33.0ms

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:
8.0ms
(/ 1 (- 1.0 (/ y z)))
20.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series103.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0351684
11631607
25001557

prune169.0ms

Filtered
107 candidates to 61 candidates (57.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh088
Picked011
Done000
Total1079116

Merged error: 4.7b

Counts
116 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite43.0ms

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:
16.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
14.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series181.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
50.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify83.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05972063
126631879
250011714

prune492.0ms

Filtered
205 candidates to 87 candidates (42.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2041205
Fresh167
Picked011
Done011
Total2059214

Merged error: 4.7b

Counts
214 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
7.0b
(cbrt (- 1.0 (/ y z)))
7.0b
(cbrt (- 1.0 (/ y z)))
7.0b
(cbrt (- 1.0 (/ y z)))

rewrite73.0ms

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:
46.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
134.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
308.0ms
(cbrt (- 1.0 (/ y z)))
315.0ms
(cbrt (- 1.0 (/ y z)))
291.0ms
(cbrt (- 1.0 (/ y z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06622107
132051863
250011702

prune364.0ms

Filtered
166 candidates to 114 candidates (68.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1660166
Fresh066
Picked011
Done022
Total1669175

Merged error: 4.7b

Counts
175 → 9

regimes112.0ms

Accuracy

0% (2.1b remaining)

Error of 7.4b against oracle of 5.4b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample415.0ms

Algorithm
intervals
Results
240.0ms7998×body80valid
0.0ms2×body160valid