Details

Time bar (total: 3.9s)

sample31.0ms

Algorithm
intervals
Results
14.0ms349×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: 11.4b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
10.7b
(/ (- (* 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))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series139.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* (* z 9.0) t)
56.0ms
(- (* x y) (* (* z 9.0) t))
65.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346438
11623375
25001375

prune216.0ms

Filtered
71 candidates to 52 candidates (73.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New581371
Fresh000
Picked101
Done000
Total591372

Merged error: 11.0b

Counts
72 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(* 9.0 (* t z))
0.4b
(- (* x y) (* 9.0 (* t z)))
10.7b
(/ (- (* x y) (* 9.0 (* t z))) (* 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-*l* 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-*r* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
5.0ms
(* 9.0 (* t z))
4.0ms
(- (* x y) (* 9.0 (* t z)))
7.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series143.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* 9.0 (* t z))
54.0ms
(- (* x y) (* 9.0 (* t z)))
67.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0336437
11324374
25001374

prune177.0ms

Filtered
71 candidates to 49 candidates (69.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New71071
Fresh01212
Picked011
Done000
Total711384

Merged error: 11.0b

Counts
84 → 13

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))
6.8b
(/ (* x y) a)
7.7b
(/ (* t z) a)

rewrite25.0ms

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
(/ (* x y) a)
5.0ms
(/ (* t z) a)

series181.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms
(* 4.5 (/ (* t z) a))
20.0ms
(/ (* x y) a)
25.0ms
(/ (* t z) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0405538
12002467
25001467

prune264.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New987105
Fresh8311
Picked101
Done101
Total10810118

Merged error: 0.5b

Counts
118 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.2b
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
6.8b
(/ (* x y) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-cbrt-cube
22×associate-*r*
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
17×prod-exp cbrt-unprod
15×cbrt-prod
10×cbrt-undiv div-exp
9×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/ pow-prod-down associate-/r*
2×pow1/3 div-inv
1×frac-times frac-2neg associate-*l* associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 103
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
5.0ms
(/ (* x y) a)

series451.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt a)
177.0ms
(cbrt a)
65.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
22.0ms
(/ (* x y) a)

simplify100.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
0547790
13030596
25002571

prune325.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1132115
Fresh369
Picked011
Done000
Total1169125

Merged error: 0.0b

Counts
125 → 9

regimes680.0ms

Accuracy

87.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04627
14627

end0.0ms

sample828.0ms

Algorithm
intervals
Results
480.0ms11272×body80valid