Details

Time bar (total: 3.4s)

sample30.0ms

Algorithm
intervals
Results
15.0ms370×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

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: 6.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
5.6b
(/ (- (* 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-*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)
10.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series133.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (* x y) (* (* z 9.0) t))
20.0ms
(* (* z 9.0) t)
62.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326399
11408341
25002341

prune155.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New531063
Fresh000
Picked101
Done000
Total541064

Merged error: 5.7b

Counts
64 → 10

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))
3.5b
(/ (* x y) a)
5.5b
(/ (* t z) a)

rewrite23.0ms

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)))
7.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series173.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* x y) a)
20.0ms
(/ (* t z) a)

simplify51.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381486
11921419
25001419

prune205.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New88795
Fresh459
Picked101
Done000
Total9312105

Merged error: 0.3b

Counts
105 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
0.3b
(* 4.5 (* t z))
3.5b
(/ (* x y) a)
5.6b
(/ (* 4.5 (* t z)) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×times-frac associate-/r* add-log-exp
5×cbrt-undiv div-exp
3×associate-*l* pow-prod-down
2×frac-2neg associate-*r/ clear-num div-inv associate-/l*
1×sub-neg flip3-- diff-log associate-*r* *-commutative frac-sub flip-- sub-div
Counts
4 → 76
Calls
4 calls:
6.0ms
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
5.0ms
(* 4.5 (* t z))
4.0ms
(/ (* x y) a)
6.0ms
(/ (* 4.5 (* t z)) a)

series177.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
20.0ms
(* 4.5 (* t z))
23.0ms
(/ (* x y) a)
27.0ms
(/ (* 4.5 (* t z)) a)

simplify50.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0371459
11861392
25001392

prune166.0ms

Filtered
88 candidates to 55 candidates (62.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh11011
Picked101
Done000
Total8911100

Merged error: 0.3b

Counts
100 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (/ 4.5 (/ a (* t z))))
0.2b
(/ 4.5 (/ a (* t z)))
3.5b
(/ (* x y) a)
5.5b
(/ a (* t z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
11×associate-/r*
9×cbrt-undiv div-exp
7×div-inv associate-/l*
6×add-log-exp
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
1×sub-neg flip3-- diff-log associate-*r/ associate-/r/ frac-sub flip--
Counts
4 → 103
Calls
4 calls:
9.0ms
(- (* 0.5 (/ (* x y) a)) (/ 4.5 (/ a (* t z))))
6.0ms
(/ 4.5 (/ a (* t z)))
4.0ms
(/ (* x y) a)
4.0ms
(/ a (* t z))

series181.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- (* 0.5 (/ (* x y) a)) (/ 4.5 (/ a (* t z))))
27.0ms
(/ 4.5 (/ a (* t z)))
19.0ms
(/ (* x y) a)
24.0ms
(/ a (* t z))

simplify61.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0465650
12132581
25001581

prune218.0ms

Filtered
115 candidates to 84 candidates (73.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh1910
Picked011
Done000
Total11511126

Merged error: 0.3b

Counts
126 → 11

regimes762.0ms

Accuracy

41.2% (4.3b remaining)

Error of 4.7b against oracle of 0.4b and baseline of 7.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04533
14533

end0.0ms

sample767.0ms

Algorithm
intervals
Results
447.0ms11105×body80valid