Details

Time bar (total: 3.3s)

analyze481.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 91.104126%

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (+ 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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune85.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954

Merged error: 5.4b

Counts
54 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series27.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05882039
126341858
250031694

prune144.0ms

Filtered
83 candidates to 201 candidates (-142.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1992201
Fresh167
Picked011
Done011
Total20010210

Merged error: 5.4b

Counts
210 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
6.7b
(cbrt (- 1.0 (/ y z)))
6.7b
(cbrt (- 1.0 (/ y z)))
6.7b
(cbrt (- 1.0 (/ y z)))

rewrite69.0ms

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×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 146
Calls
4 calls:
44.0ms
(* (/ 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)))

series125.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
35.0ms
(cbrt (- 1.0 (/ y z)))
38.0ms
(cbrt (- 1.0 (/ y z)))
35.0ms
(cbrt (- 1.0 (/ y z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06572053
131971809
250011648

prune302.0ms

Filtered
104 candidates to 158 candidates (-51.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1571158
Fresh167
Picked011
Done022
Total15810168

Merged error: 5.4b

Counts
168 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (/ (cbrt (- 1.0 (/ y z))) (+ x y)))
6.7b
(cbrt (- 1.0 (/ y z)))
6.7b
(cbrt (- 1.0 (/ y z)))
6.7b
(cbrt (- 1.0 (/ y z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
57×*-un-lft-identity
45×times-frac
43×cbrt-prod
42×associate-*r*
30×cbrt-div
25×add-cube-cbrt
16×add-exp-log frac-times
15×flip3-- flip--
14×difference-of-squares
12×associate-*l/
10×add-cbrt-cube
9×pow1 distribute-lft-out
7×distribute-lft-out--
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×flip3-+ associate-*l* *-commutative flip-+ div-inv
Counts
4 → 129
Calls
4 calls:
36.0ms
(* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (/ (cbrt (- 1.0 (/ y z))) (+ x y)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (/ (cbrt (- 1.0 (/ y z))) (+ x y)))
39.0ms
(cbrt (- 1.0 (/ y z)))
35.0ms
(cbrt (- 1.0 (/ y z)))
36.0ms
(cbrt (- 1.0 (/ y z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06071746
122671610
250011540

prune263.0ms

Filtered
104 candidates to 141 candidates (-35.6%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1410141
Fresh066
Picked011
Done033
Total14110151

Merged error: 5.4b

Counts
151 → 10

regimes307.0ms

Accuracy

0% (1.9b remaining)

Error of 7.5b against oracle of 5.6b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

analyze460.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 91.104126%

sample427.0ms

Algorithm
intervals
Results
249.0ms7998×body80valid
0.0ms2×body2560valid

Profiling

Loading profile data...