Details

Time bar (total: 6.3s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.696777%

Guaranteed chance to sample good point: 66.801192%

Results
8.0ms256×body80valid
5.0ms60×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.4b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
5.0ms
(/ (* a1 a2) (* b1 b2))

series8.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (* a1 a2) (* b1 b2))

simplify25.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune47.0ms

Filtered
13 candidates to 24 candidates (-84.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New17724
Fresh000
Picked011
Done000
Total17825

Merged error: 0.0b

Counts
25 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (* b1 b2) a2)
6.7b
(/ a1 (/ (* b1 b2) a2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ (* b1 b2) a2)
6.0ms
(/ a1 (/ (* b1 b2) a2))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (* b1 b2) a2)
9.0ms
(/ a1 (/ (* b1 b2) a2))

simplify37.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0292397
11409353
25001350

prune95.0ms

Filtered
55 candidates to 75 candidates (-36.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New68775
Fresh426
Picked101
Done101
Total74983

Merged error: 0.0b

Counts
83 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

4.8b
(/ a1 (/ b2 a2))
7.0b
(* (/ 1 b1) (/ a1 (/ b2 a2)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
44×associate-*r*
28×add-cbrt-cube
21×div-exp
13×associate-*l* associate-/r*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 166
Calls
2 calls:
5.0ms
(/ a1 (/ b2 a2))
20.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ a1 (/ b2 a2))
9.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))

simplify85.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07881121
13776991
25001971

prune150.0ms

Filtered
126 candidates to 172 candidates (-36.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1702172
Fresh268
Picked101
Done000
Total1738181

Merged error: 0b

Counts
181 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
2.0b
(/ (cbrt a1) (/ (cbrt b2) a2))
2.0b
(/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1)
5.6b
(* (/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1) (/ (cbrt a1) (/ (cbrt b2) a2)))

rewrite480.0ms

Algorithm
rewrite-expression-head
Rules
1759×times-frac
953×add-sqr-sqrt
670×add-cube-cbrt *-un-lft-identity
666×cbrt-prod
199×associate-*l*
137×associate-*r*
98×add-exp-log
71×associate-/l*
66×div-inv
56×unswap-sqr
54×cbrt-undiv div-exp
52×add-cbrt-cube
25×associate-/r*
19×prod-exp cbrt-unprod
9×associate-/r/
6×pow1
4×add-log-exp
2×frac-2neg clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 902
Calls
4 calls:
1.0ms
(cbrt a1)
11.0ms
(/ (cbrt a1) (/ (cbrt b2) a2))
18.0ms
(/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1)
378.0ms
(* (/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1) (/ (cbrt a1) (/ (cbrt b2) a2)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt a1)
28.0ms
(/ (cbrt a1) (/ (cbrt b2) a2))
32.0ms
(/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1)
9.0ms
(* (/ (/ (cbrt a1) (/ (* (cbrt b2) (cbrt b2)) (cbrt a1))) b1) (/ (cbrt a1) (/ (cbrt b2) a2)))

simplify168.0ms

Algorithm
egg-herbie
Counts
914 → 914
Iterations

Useful iterations: 1 (58.0ms)

IterNodesCost
0363213950
1500113698

prune893.0ms

Filtered
853 candidates to 914 candidates (-7.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New9140914
Fresh077
Picked011
Done000
Total9148922

Merged error: 0b

Counts
922 → 8

regimes587.0ms

Accuracy

14.4% (6.1b remaining)

Error of 6.2b against oracle of 0.0b and baseline of 7.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04022
14022

end0.0ms

sample2.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.696777%

Guaranteed chance to sample good point: 66.801192%

Results
247.0ms8000×body80valid
60.0ms1925×body80invalid

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