Details

Time bar (total: 4.0s)

sample31.0ms

Algorithm
intervals
Results
15.0ms337×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

prune3.0ms

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: 6.8b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (* z 9.0) t)
0.7b
(- (* x y) (* (* z 9.0) t))
6.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

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×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
6.0ms
(* (* z 9.0) t)
4.0ms
(- (* x y) (* (* z 9.0) t))
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (* z 9.0) t)
58.0ms
(- (* x y) (* (* z 9.0) t))
74.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0346438
11623375
25001375

prune224.0ms

Filtered
71 candidates to 52 candidates (73.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New591271
Fresh000
Picked101
Done000
Total601272

Merged error: 5.9b

Counts
72 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
5.2b
(/ (* t z) a)
6.2b
(/ (* x y) a)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 93
Calls
4 calls:
11.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* t z) a)
5.0ms
(/ (* x y) a)

series200.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* t z) a)
22.0ms
(/ (* x y) a)

simplify69.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0405538
12002467
25001467

prune300.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New987105
Fresh5611
Picked101
Done000
Total10413117

Merged error: 1.0b

Counts
117 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
0.2b
(* 4.5 (* t z))
5.2b
(/ (* 4.5 (* t z)) a)
6.2b
(/ (* x y) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 times-frac
7×prod-diff prod-exp cbrt-unprod
6×associate-/r* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* pow-prod-down div-inv
2×frac-2neg associate-*r/ clear-num associate-/l*
1×sub-neg flip3-- fma-neg diff-log associate-*r* *-commutative frac-sub flip-- sub-div
Counts
4 → 92
Calls
4 calls:
8.0ms
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
5.0ms
(* 4.5 (* t z))
7.0ms
(/ (* 4.5 (* t z)) a)
5.0ms
(/ (* x y) a)

series196.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
21.0ms
(* 4.5 (* t z))
33.0ms
(/ (* 4.5 (* t z)) a)
21.0ms
(/ (* x y) a)

simplify85.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0482661
12389533
25001533

prune302.0ms

Filtered
104 candidates to 67 candidates (64.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1022104
Fresh21012
Picked101
Done000
Total10512117

Merged error: 1.0b

Counts
117 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 4.5 (* t z))
0.4b
(/ 1 (/ a (* 4.5 (* t z))))
5.0b
(/ a (* 4.5 (* t z)))
6.2b
(/ (* x y) a)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
39×times-frac
37×add-cbrt-cube
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×div-exp
16×prod-exp
12×cbrt-undiv
11×associate-/r*
10×pow1 cbrt-unprod
7×div-inv associate-/l*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* pow-prod-down clear-num
1×pow-flip associate-*r* associate-/r/ *-commutative inv-pow
Counts
4 → 130
Calls
4 calls:
5.0ms
(* 4.5 (* t z))
9.0ms
(/ 1 (/ a (* 4.5 (* t z))))
7.0ms
(/ a (* 4.5 (* t z)))
5.0ms
(/ (* x y) a)

series112.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 4.5 (* t z))
31.0ms
(/ 1 (/ a (* 4.5 (* t z))))
32.0ms
(/ a (* 4.5 (* t z)))
27.0ms
(/ (* x y) a)

simplify79.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0469735
12325612
25001576

prune308.0ms

Filtered
142 candidates to 78 candidates (54.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh01111
Picked011
Done000
Total14212154

Merged error: 1.0b

Counts
154 → 12

regimes861.0ms

Accuracy

46.3% (4.0b remaining)

Error of 4.5b against oracle of 0.4b and baseline of 7.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04830
14830

end0.0ms

sample754.0ms

Algorithm
intervals
Results
403.0ms11145×body80valid