Details

Time bar (total: 3.5s)

sample25.0ms

Algorithm
intervals
Results
11.0ms337×body80valid

simplify71.0ms

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: 6.8b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (* z 9.0) t)
0.7b
(- (* x y) (* (* z 9.0) t))
6.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

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:
5.0ms
(* (* z 9.0) t)
7.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series138.0ms

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))

simplify50.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0326399
11408341
25002341

prune170.0ms

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: 5.9b

Counts
64 → 12

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))
5.2b
(/ (* 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/
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))
7.0ms
(/ (* t z) a)
4.0ms
(/ (* x y) a)

series178.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
28.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* t z) a)
20.0ms
(/ (* x y) a)

simplify53.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0381486
11921419
25001419

prune237.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New88795
Fresh5611
Picked101
Done000
Total9413107

Merged error: 1.0b

Counts
107 → 13

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))
5.2b
(/ (* 4.5 (* t z)) a)
6.2b
(/ (* x y) 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))
6.0ms
(/ (* 4.5 (* t z)) a)
5.0ms
(/ (* x y) a)

series176.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(- (* 0.5 (/ (* x y) a)) (/ (* 4.5 (* t z)) a))
20.0ms
(* 4.5 (* t z))
28.0ms
(/ (* 4.5 (* t z)) a)
23.0ms
(/ (* x y) a)

simplify54.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0371459
11861392
25001392

prune214.0ms

Filtered
88 candidates to 55 candidates (62.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh21012
Picked101
Done000
Total8912101

Merged error: 1.0b

Counts
101 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 4.5 (* t z))
0.4b
(/ 1 (/ a (* 4.5 (* t z))))
5.0b
(/ a (* 4.5 (* t z)))
6.2b
(/ (* x y) a)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
39×times-frac
37×add-cbrt-cube
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×div-exp
16×prod-exp
12×cbrt-undiv
11×associate-/r*
10×pow1 cbrt-unprod
7×div-inv associate-/l*
4×rec-exp 1-exp add-log-exp
3×frac-2neg associate-*l* pow-prod-down clear-num
1×pow-flip associate-*r* associate-/r/ *-commutative inv-pow
Counts
4 → 122
Calls
4 calls:
5.0ms
(* 4.5 (* t z))
8.0ms
(/ 1 (/ a (* 4.5 (* t z))))
6.0ms
(/ a (* 4.5 (* t z)))
5.0ms
(/ (* x y) a)

series99.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* 4.5 (* t z))
32.0ms
(/ 1 (/ a (* 4.5 (* t z))))
28.0ms
(/ a (* 4.5 (* t z)))
20.0ms
(/ (* x y) a)

simplify61.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0461705
12317582
25002546

prune249.0ms

Filtered
134 candidates to 70 candidates (52.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1340134
Fresh01111
Picked011
Done000
Total13412146

Merged error: 1.0b

Counts
146 → 12

regimes838.0ms

Accuracy

46.3% (4.0b remaining)

Error of 4.5b against oracle of 0.4b and baseline of 7.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04830
14830

end0.0ms

sample704.0ms

Algorithm
intervals
Results
388.0ms11145×body80valid