Details

Time bar (total: 41.7s)

sample18.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.955078%

Guaranteed chance to sample good point: 39.603457%

Results
11.0ms256×body80valid
4.0ms92×body80invalid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.5b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
9.0b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
6.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series37.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
21.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune124.0ms

Filtered
44 candidates to 63 candidates (-43.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New521163
Fresh000
Picked101
Done000
Total531164

Merged error: 8.8b

Counts
64 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.2b
(* 4.5 (/ (* t z) a))
6.1b
(/ (* x y) a)
6.5b
(/ (* t z) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×times-frac
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r*
4×div-inv add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 96
Calls
4 calls:
8.0ms
(* 0.5 (/ (* x y) a))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series21.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 0.5 (/ (* x y) a))
6.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* x y) a)
5.0ms
(/ (* t z) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380456
12036370
25002370

prune155.0ms

Filtered
68 candidates to 108 candidates (-58.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9810108
Fresh6410
Picked101
Done000
Total10514119

Merged error: 0.7b

Counts
119 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.2b
(* 4.5 (/ t (/ a z)))
6.1b
(/ t (/ a z))
6.1b
(/ (* x y) a)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×add-cube-cbrt *-un-lft-identity
51×associate-*r*
32×add-exp-log add-cbrt-cube
16×associate-/r*
11×div-inv
10×cbrt-undiv div-exp
8×pow1 prod-exp cbrt-unprod
6×associate-*l*
4×associate-/l* add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative
Counts
4 → 184
Calls
4 calls:
6.0ms
(* 0.5 (/ (* x y) a))
14.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ t (/ a z))
4.0ms
(/ (* x y) a)

series22.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 0.5 (/ (* x y) a))
6.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ t (/ a z))
5.0ms
(/ (* x y) a)

simplify87.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07151056
13690965
25001965

prune229.0ms

Filtered
150 candidates to 196 candidates (-30.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1915196
Fresh5813
Picked101
Done000
Total19713210

Merged error: 0.0b

Counts
210 → 13

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
6.1b
(/ (* x y) a)
6.3b
(* (* t 4.5) (/ z a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
20×associate-*r*
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity times-frac
11×prod-exp cbrt-unprod
10×pow1
6×cbrt-undiv div-exp
4×associate-*l* pow-prod-down
3×associate-/r* div-inv add-log-exp
2×associate-*r/ *-commutative
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
6.0ms
(* 0.5 (/ (* x y) a))
5.0ms
(/ (* x y) a)
7.0ms
(* (* t 4.5) (/ z a))

series17.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* 0.5 (/ (* x y) a))
5.0ms
(/ (* x y) a)
6.0ms
(* (* t 4.5) (/ z a))

simplify57.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0420406
12258328
25001328

prune72.0ms

Filtered
55 candidates to 90 candidates (-63.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New89190
Fresh11112
Picked101
Done000
Total9112103

Merged error: 0b

Counts
103 → 12

regimes1.5s

Accuracy

90.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04321
14321

end0.0ms

sample20.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.955078%

Guaranteed chance to sample good point: 39.603457%

Results
361.0ms8000×body80valid
124.0ms2690×body80invalid

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