Details

Time bar (total: 4.0s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.972168%

Guaranteed chance to sample good point: 78.842028%

Results
7.0ms256×body80valid
0.0ms17×body80invalid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.4b
(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) y)

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219218
11044189
25001189

prune64.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0b

Counts
56 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.9b
(* x (/ (- y z) y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
5.0ms
(/ (- y z) y)
9.0ms
(* x (/ (- y z) y))

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (- y z) y)
10.0ms
(* x (/ (- y z) y))

simplify39.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0264396
11187365
25001364

prune72.0ms

Filtered
53 candidates to 82 candidates (-54.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh055
Picked011
Done011
Total82789

Merged error: 0b

Counts
89 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
7.1b
(* (/ x (* (cbrt y) (cbrt y))) (/ (- y z) (cbrt y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
18.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (- y z) (cbrt y)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
21.0ms
(cbrt y)
24.0ms
(cbrt y)
14.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (- y z) (cbrt y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0494948
12492839
25002780

prune98.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh044
Picked011
Done022
Total1167123

Merged error: 0b

Counts
123 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.5b
(* (* x (- y z)) (/ 1 y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative add-log-exp
1×un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
6.0ms
(* x (- y z))
10.0ms
(* (* x (- y z)) (/ 1 y))

series18.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* x (- y z))
9.0ms
(* (* x (- y z)) (/ 1 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0351354
11922294
25002282

prune50.0ms

Filtered
42 candidates to 74 candidates (-76.2%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done033
Total74781

Merged error: 0b

Counts
81 → 7

regimes350.0ms

Accuracy

46.4% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.972168%

Guaranteed chance to sample good point: 78.842028%

Results
245.0ms8000×body80valid
23.0ms679×body80invalid

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