Details

Time bar (total: 2.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms333×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

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: 5.6b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.8b
(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series133.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (/ (* y (- z t)) a))
41.0ms
(* y (- z t))
46.0ms
(/ (* y (- z t)) a)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune124.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65570
Fresh000
Picked011
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (- z t)) (/ 1 a)))
0.0b
(* y (- z t))
6.8b
(* (* y (- z t)) (/ 1 a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
3.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
6.0ms
(* y (- z t))
9.0ms
(* (* y (- z t)) (/ 1 a))

series134.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
40.0ms
(* y (- z t))
47.0ms
(* (* y (- z t)) (/ 1 a))

simplify55.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0424472
12166394
25002380

prune139.0ms

Filtered
88 candidates to 52 candidates (59.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh134
Picked011
Done011
Total88694

Merged error: 0b

Counts
94 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ a (* y (- z t)))))
0.0b
(* y (- z t))
0.5b
(/ 1 (/ a (* y (- z t))))
6.8b
(/ a (* y (- z t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
9.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
6.0ms
(* y (- z t))
8.0ms
(/ 1 (/ a (* y (- z t))))
6.0ms
(/ a (* y (- z t)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
38.0ms
(* y (- z t))
50.0ms
(/ 1 (/ a (* y (- z t))))
40.0ms
(/ a (* y (- z t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0454814
12100667
25002650

prune190.0ms

Filtered
138 candidates to 73 candidates (52.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1380138
Fresh033
Picked011
Done022
Total1386144

Merged error: 0b

Counts
144 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.8b
(/ y (/ a (- z t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
17.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
8.0ms
(/ y (/ a (- z t)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ x (/ y (/ a (- z t))))
28.0ms
(/ a (- z t))
59.0ms
(/ y (/ a (- z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05471150
123841110
250011107

prune314.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1600160
Fresh022
Picked011
Done033
Total1606166

Merged error: 0b

Counts
166 → 6

regimes321.0ms

Accuracy

92.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412
12412

end0.0ms

sample656.0ms

Algorithm
intervals
Results
338.0ms10553×body80valid

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