Details

Time bar (total: 4.6s)

analyze684.0ms

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
12.5%87.3%0.2%8
18.7%81.1%0.2%9
22.6%77.2%0.2%10
25%74.9%0.2%11
39.4%60.4%0.2%12
46.5%53.2%0.3%13
48%51.4%0.6%14

sample45.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
012189
112189

prune13.0ms

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: 6.5b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
1.0b
(/ 2.0 (* z (- y t)))
5.9b
(* x (/ 2.0 (* z (- y t))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt
7×pow1 associate-*r/
6×times-frac associate-*l* prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×sub-neg pow-prod-down *-commutative div-inv unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
3 → 76
Calls
3 calls:
6.0ms
(* z (- y t))
9.0ms
(/ 2.0 (* z (- y t)))
8.0ms
(* x (/ 2.0 (* z (- y t))))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
7.0ms
(/ 2.0 (* z (- y t)))
12.0ms
(* x (/ 2.0 (* z (- y t))))

simplify42.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05973663

prune138.0ms

Filtered
57 candidates to 85 candidates (-49.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New751085
Fresh101
Picked101
Done000
Total771087

Merged error: 0.0b

Counts
87 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
5.9b
(* x (/ (/ 2.0 z) (- y t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 193
Calls
2 calls:
8.0ms
(/ (/ 2.0 z) (- y t))
22.0ms
(* x (/ (/ 2.0 z) (- y t)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (/ 2.0 z) (- y t))
12.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050782485

prune263.0ms

Filtered
141 candidates to 199 candidates (-41.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1945199
Fresh369
Picked101
Done000
Total19811209

Merged error: 0.0b

Counts
209 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
4.1b
(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 z) (cbrt (- y t))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
196×times-frac
156×add-sqr-sqrt
124×*-un-lft-identity
110×associate-*r*
92×add-cube-cbrt
84×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
20×cbrt-div
16×distribute-lft-out-- difference-of-squares
15×cbrt-undiv div-exp associate-*l*
12×prod-exp cbrt-unprod
10×flip3-- associate-/r/ flip-- div-inv unswap-sqr
6×pow1
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 210
Calls
4 calls:
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
6.0ms
(cbrt (- y t))
51.0ms
(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 z) (cbrt (- y t))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- y t))
28.0ms
(cbrt (- y t))
25.0ms
(cbrt (- y t))
16.0ms
(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 z) (cbrt (- y t))))

simplify72.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049683492
149683492

prune348.0ms

Filtered
171 candidates to 222 candidates (-29.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New2211222
Fresh01010
Picked101
Done000
Total22211233

Merged error: 0b

Counts
233 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
0.6b
(cbrt (pow (cbrt (- y t)) 2))
3.6b
(* (/ x (* (cbrt (pow (cbrt (- y t)) 2)) (pow (cbrt (- y t)) 2))) (/ (/ 2.0 z) (cbrt (cbrt (- y t)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
254×times-frac
203×cbrt-prod
183×add-sqr-sqrt
160×*-un-lft-identity
149×associate-*r*
128×add-cube-cbrt
67×add-exp-log
31×add-cbrt-cube
27×div-exp
24×prod-exp
16×distribute-lft-out-- difference-of-squares
15×cbrt-undiv
13×div-inv
12×cbrt-unprod
8×unpow-prod-down cbrt-div
7×associate-*l* unswap-sqr
6×pow1
4×add-log-exp
3×pow-to-exp flip3-- pow1/3 pow-exp flip--
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative unpow2 sqr-pow
Counts
4 → 250
Calls
4 calls:
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
5.0ms
(cbrt (pow (cbrt (- y t)) 2))
57.0ms
(* (/ x (* (cbrt (pow (cbrt (- y t)) 2)) (pow (cbrt (- y t)) 2))) (/ (/ 2.0 z) (cbrt (cbrt (- y t)))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- y t))
25.0ms
(cbrt (- y t))
33.0ms
(cbrt (pow (cbrt (- y t)) 2))
16.0ms
(* (/ x (* (cbrt (pow (cbrt (- y t)) 2)) (pow (cbrt (- y t)) 2))) (/ (/ 2.0 z) (cbrt (cbrt (- y t)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
055046345

prune569.0ms

Filtered
209 candidates to 262 candidates (-25.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2620262
Fresh01010
Picked011
Done000
Total26211273

Merged error: 0b

Counts
273 → 11

regimes570.0ms

Accuracy

66.7% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 5.6b

bsearch54.0ms

Steps
ItersRangePoint
9
12306385528.681522
5.819133922119038e+18
1586623875675827.2
9
-52390.41498267097
-0.050209745666862364
-19228.415161329853

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03535
13535

end0.0ms

sample1.1s

Algorithm
intervals
Results
289.0ms8000×body80valid

Profiling

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