Details

Time bar (total: 3.9s)

sample29.0ms

Algorithm
intervals
Results
12.0ms357×body80valid

simplify100.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
6.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite17.0ms

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:
5.0ms
(* (* z 9.0) t)
4.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (* z 9.0) t)
61.0ms
(- (* x y) (* (* z 9.0) t))
71.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0346438
11623375
25001375

prune230.0ms

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: 6.4b

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))
3.6b
(/ (* t z) a)
6.4b
(/ (* x y) a)

rewrite26.0ms

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:
6.0ms
(- (* 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)

series198.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
21.0ms
(/ (* t z) a)
26.0ms
(/ (* x y) a)

simplify73.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0405538
12002467
25001467

prune303.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1005105
Fresh6511
Picked101
Done000
Total10710117

Merged error: 0.5b

Counts
117 → 10

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))
3.6b
(/ (* t z) a)
5.6b
(* x (/ y a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
20×associate-*r*
17×add-cube-cbrt *-un-lft-identity
16×times-frac
8×pow1 associate-*r/
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* div-inv unswap-sqr
2×pow-prod-down *-commutative
1×sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num frac-sub flip-- associate-/l* sub-div
Counts
4 → 104
Calls
4 calls:
8.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* t z) a)
11.0ms
(* x (/ y a))

series199.0ms

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)
23.0ms
(* x (/ y a))

simplify81.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
0468586
12314515
25001515

prune333.0ms

Filtered
116 candidates to 80 candidates (69.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1115116
Fresh549
Picked101
Done000
Total1179126

Merged error: 0.0b

Counts
126 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
3.6b
(/ (* t z) a)
6.0b
(/ x (/ a y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
53×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
16×associate-/r*
7×cbrt-undiv div-exp associate-*r* div-inv
6×pow1 add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×associate-*r/ associate-*l*
2×frac-2neg clear-num
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down associate-/r/ *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 141
Calls
4 calls:
13.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* t z) a)
7.0ms
(/ x (/ a y))

series176.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* t z) a)
27.0ms
(/ x (/ a y))

simplify97.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
0624894
12901819
25001819

prune476.0ms

Filtered
153 candidates to 117 candidates (76.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1494153
Fresh628
Picked101
Done000
Total1566162

Merged error: 0b

Counts
162 → 6

regimes490.0ms

Accuracy

74.1% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 7.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04321
14321

end0.0ms

sample740.0ms

Algorithm
intervals
Results
403.0ms11103×body80valid