Details

Time bar (total: 3.5s)

sample31.0ms

Algorithm
intervals
Results
15.0ms379×body80valid

simplify67.0ms

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: 6.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
6.3b
(/ (- (* 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:
5.0ms
(* (* z 9.0) t)
6.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series130.0ms

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

prune158.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New521163
Fresh000
Picked101
Done000
Total531164

Merged error: 6.2b

Counts
64 → 11

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))
5.5b
(/ (* t z) a)
6.2b
(/ (* x y) a)

rewrite22.0ms

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

series187.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
26.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(/ (* t z) a)
23.0ms
(/ (* x y) a)

simplify48.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381486
11921419
25001419

prune198.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New88795
Fresh5510
Picked101
Done000
Total9412106

Merged error: 0.7b

Counts
106 → 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))
3.9b
(* x (/ y a))
5.5b
(/ (* t z) a)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
20×associate-*r*
17×add-cube-cbrt *-un-lft-identity
16×times-frac
8×pow1 associate-*r/
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×cbrt-undiv div-exp
3×associate-/r* div-inv unswap-sqr
2×pow-prod-down *-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip-- associate-/l* sub-div
Counts
4 → 94
Calls
4 calls:
6.0ms
(- (* 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)

series170.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
26.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(* x (/ y a))
22.0ms
(/ (* t z) a)

simplify58.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0443534
12228467
25001467

prune210.0ms

Filtered
106 candidates to 69 candidates (65.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1042106
Fresh2911
Picked101
Done000
Total10711118

Merged error: 0.0b

Counts
118 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.1b
(/ x (/ a y))
5.5b
(/ (* t z) a)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
53×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
16×associate-/r*
7×cbrt-undiv div-exp associate-*r* div-inv
6×pow1 add-log-exp
5×prod-exp cbrt-unprod
4×associate-/l*
3×associate-*r/ associate-*l*
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log pow-prod-down associate-/r/ *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 131
Calls
4 calls:
7.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ x (/ a y))
4.0ms
(/ (* t z) a)

series151.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
27.0ms
(* 4.5 (/ (* t z) a))
20.0ms
(/ x (/ a y))
19.0ms
(/ (* t z) a)

simplify71.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0600842
12819771
25001771

prune300.0ms

Filtered
143 candidates to 107 candidates (74.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1412143
Fresh1910
Picked101
Done000
Total14311154

Merged error: 0b

Counts
154 → 11

regimes766.0ms

Accuracy

83.3% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 7.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04529
14529

end0.0ms

sample795.0ms

Algorithm
intervals
Results
461.0ms11249×body80valid