Details

Time bar (total: 4.4s)

sample27.0ms

Algorithm
intervals
Results
11.0ms345×body80valid

simplify75.0ms

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: 10.0b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
9.4b
(/ (- (* 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:
4.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series371.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (* x y) (* (* z 9.0) t))
243.0ms
(* (* z 9.0) t)
66.0ms
(/ (- (* 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
25002375

prune212.0ms

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: 9.5b

Counts
72 → 11

localize17.0ms

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))
5.7b
(/ (* x y) a)
7.2b
(/ (* t z) 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
(/ (* x y) a)
5.0ms
(/ (* t z) a)

series198.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
36.0ms
(* 4.5 (/ (* t z) a))
21.0ms
(/ (* x y) a)
23.0ms
(/ (* t z) a)

simplify65.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0405538
12002467
25001467

prune278.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New978105
Fresh6410
Picked101
Done000
Total10412116

Merged error: 0.5b

Counts
116 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.0b
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
4.6b
(* (* t 4.5) (/ z a))
5.7b
(/ (* x y) a)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
20×associate-*r*
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×times-frac
11×pow1 prod-exp cbrt-unprod
6×cbrt-undiv associate-*r/ div-exp add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u
3×associate-/r* div-inv
2×*-commutative
1×sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num frac-sub flip-- associate-/l* sub-div unswap-sqr
Counts
4 → 105
Calls
4 calls:
7.0ms
(* 0.5 (/ (* x y) a))
7.0ms
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
8.0ms
(* (* t 4.5) (/ z a))
5.0ms
(/ (* x y) a)

series212.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 0.5 (/ (* x y) a))
118.0ms
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
38.0ms
(* (* t 4.5) (/ z a))
24.0ms
(/ (* x y) a)

simplify92.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
0518626
12715543
25002543

prune270.0ms

Filtered
117 candidates to 77 candidates (65.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1134117
Fresh4711
Picked101
Done000
Total11811129

Merged error: 0.0b

Counts
129 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.8b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
4.6b
(* (* t 4.5) (/ z a))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×add-exp-log times-frac
35×associate-*r*
30×add-cbrt-cube
28×add-cube-cbrt *-un-lft-identity
17×cbrt-prod
14×prod-exp cbrt-unprod
11×pow1
9×cbrt-undiv div-exp
8×associate-*l*
6×unswap-sqr
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 associate-*r/ *-commutative
1×frac-times associate-*l/
Counts
4 → 122
Calls
4 calls:
1.0ms
(cbrt a)
2.0ms
(cbrt a)
16.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
8.0ms
(* (* t 4.5) (/ z a))

series487.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt a)
198.0ms
(cbrt a)
61.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
32.0ms
(* (* t 4.5) (/ z a))

simplify94.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0649891
13463714
25001677

prune365.0ms

Filtered
134 candidates to 99 candidates (73.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1340134
Fresh01010
Picked011
Done000
Total13411145

Merged error: 0.0b

Counts
145 → 11

regimes680.0ms

Accuracy

78.1% (1.7b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 7.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04322
14322

end0.0ms

sample720.0ms

Algorithm
intervals
Results
390.0ms11126×body80valid