Details

Time bar (total: 3.0s)

sample34.0ms

Algorithm
intervals
Results
18.0ms370×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune2.0ms

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: 6.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
5.7b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

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×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series132.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (* x y) (* (* z 9.0) t))
17.0ms
(* (* z 9.0) t)
66.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326399
11408341
25002341

prune155.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New511263
Fresh000
Picked101
Done000
Total521264

Merged error: 5.7b

Counts
64 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z (* 9.0 t)))
0.2b
(* z (* 9.0 t))
5.7b
(/ (- (* 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×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* x y) (* z (* 9.0 t)))
8.0ms
(* z (* 9.0 t))
7.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series132.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- (* x y) (* z (* 9.0 t)))
16.0ms
(* z (* 9.0 t))
63.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318398
11325340
25001340

prune118.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New63063
Fresh01111
Picked011
Done000
Total631275

Merged error: 5.7b

Counts
75 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* 9.0 (* t z)))
0.2b
(* 9.0 (* t z))
5.7b
(/ (- (* 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×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* x y) (* 9.0 (* t z)))
7.0ms
(* 9.0 (* t z))
7.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series132.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (* x y) (* 9.0 (* t z)))
22.0ms
(* 9.0 (* t z))
61.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311398
11209340
25001340

prune117.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh01010
Picked011
Done011
Total631275

Merged error: 5.7b

Counts
75 → 12

localize10.0ms

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))
5.1b
(/ (* x y) a)
6.6b
(/ (* t z) a)

rewrite24.0ms

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/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
6.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series168.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
26.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381486
11921419
25001419

prune169.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New89695
Fresh639
Picked101
Done022
Total9611107

Merged error: 0.2b

Counts
107 → 11

regimes575.0ms

Accuracy

17.6% (6.7b remaining)

Error of 7.0b against oracle of 0.4b and baseline of 8.5b

bsearch127.0ms

Steps
ItersRangePoint
9
8.04650533436177e-98
5.350084707508412e-92
9.709972285540794e-93
4
-2.430432287642353e+155
-1.469345532166851e+155
-1.5460794614840137e+155

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04420
14420

end0.0ms

sample793.0ms

Algorithm
intervals
Results
466.0ms11200×body80valid