Details

Time bar (total: 4.1s)

sample32.0ms

Algorithm
intervals
Results
16.0ms379×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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:

0.2b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
6.3b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite18.0ms

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))
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series148.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (* z 9.0) t)
60.0ms
(- (* x y) (* (* z 9.0) t))
69.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0346438
11623375
25001375

prune201.0ms

Filtered
71 candidates to 52 candidates (73.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New601171
Fresh000
Picked101
Done000
Total611172

Merged error: 6.2b

Counts
72 → 11

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) a))
5.5b
(/ (* t z) a)
6.2b
(/ (* 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:
7.0ms
(- (* 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)

series187.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
32.0ms
(* 4.5 (/ (* t z) a))
20.0ms
(/ (* t z) a)
21.0ms
(/ (* x y) a)

simplify61.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0405538
12002467
25001467

prune267.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New987105
Fresh5510
Picked101
Done000
Total10412116

Merged error: 0.7b

Counts
116 → 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))
3.9b
(* x (/ y a))
5.5b
(/ (* t z) a)

rewrite30.0ms

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:
7.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
7.0ms
(* x (/ y a))
5.0ms
(/ (* t z) a)

series198.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
21.0ms
(* x (/ y a))
25.0ms
(/ (* t z) a)

simplify80.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0468586
12314515
25001515

prune288.0ms

Filtered
116 candidates to 79 candidates (68.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1142116
Fresh2911
Picked101
Done000
Total11711128

Merged error: 0.0b

Counts
128 → 11

localize12.0ms

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))
4.1b
(/ x (/ a y))
5.5b
(/ (* t z) a)

rewrite33.0ms

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:
9.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
8.0ms
(* 4.5 (/ (* t z) a))
6.0ms
(/ x (/ a y))
5.0ms
(/ (* t z) a)

series178.0ms

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))
29.0ms
(/ x (/ a y))
22.0ms
(/ (* t z) a)

simplify88.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
0624894
12901819
25001819

prune406.0ms

Filtered
153 candidates to 117 candidates (76.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1512153
Fresh1910
Picked101
Done000
Total15311164

Merged error: 0b

Counts
164 → 11

regimes867.0ms

Accuracy

83.3% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 7.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04529
14529

end0.0ms

sample813.0ms

Algorithm
intervals
Results
475.0ms11249×body80valid