Details

Time bar (total: 3.7s)

analyze861.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms83×body80invalid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
07189
17189

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
5.7b
(/ (* 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 sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in 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 → 59
Calls
3 calls:
6.0ms
(* y (- z t))
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(/ (* y (- z t)) a)

series33.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z t))
15.0ms
(+ x (/ (* y (- z t)) a))
12.0ms
(/ (* y (- z t)) a)

simplify34.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05072574

prune91.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New63568
Fresh011
Picked011
Done000
Total63770

Merged error: 0.0b

Counts
70 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
5.7b
(/ (* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))) a)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-- flip--
28×frac-times
26×associate-/l/
18×add-exp-log
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
14×associate-*l/
13×add-cbrt-cube
9×add-cube-cbrt
6×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp add-log-exp
3×times-frac pow1/3 associate-/r* distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 96
Calls
4 calls:
5.0ms
(cbrt (- z t))
8.0ms
(cbrt (- z t))
5.0ms
(cbrt (- z t))
32.0ms
(/ (* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))) a)

series99.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- z t))
25.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
20.0ms
(/ (* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))) a)

simplify50.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049531130
149531130

prune136.0ms

Filtered
87 candidates to 108 candidates (-24.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh055
Picked011
Done011
Total1087115

Merged error: 0.0b

Counts
115 → 7

localize7.0ms

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)))

rewrite57.0ms

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:
33.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
8.0ms
(/ y (/ a (- z t)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (/ y (/ a (- z t))))
7.0ms
(/ a (- z t))
21.0ms
(/ y (/ a (- z t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049972025
149972025

prune144.0ms

Filtered
120 candidates to 160 candidates (-33.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1582160
Fresh224
Picked011
Done022
Total1607167

Merged error: 0b

Counts
167 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z t))
0.0b
(+ x (/ (/ y a) (/ 1 (- z t))))
6.1b
(/ (/ y a) (/ 1 (- z t)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
5.0ms
(/ 1 (- z t))
56.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
14.0ms
(/ (/ y a) (/ 1 (- z t)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z t))
15.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
12.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify92.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050756728

prune285.0ms

Filtered
214 candidates to 393 candidates (-83.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3930393
Fresh033
Picked011
Done033
Total3937400

Merged error: 0b

Counts
400 → 7

regimes752.0ms

Accuracy

70.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.7b

bsearch35.0ms

Steps
ItersRangePoint
8
8.448741520697809e-33
2.6844241719109438e-30
1.5278151016950585e-30
8
-8.523599154845679e+85
-6.939949427890117e+82
-1.7503836439518507e+83

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03635
13635

end0.0ms

sample658.0ms

Algorithm
intervals
Results
272.0ms8000×body80valid
83.0ms2549×body80invalid

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