Details

Time bar (total: 3.5s)

analyze855.0ms

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

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms22×body80invalid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
012189
112189

prune10.0ms

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: 5.8b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.8b
(/ 2.0 (* z (- y t)))
5.5b
(* x (/ 2.0 (* z (- y t))))

rewrite26.0ms

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))
6.0ms
(/ 2.0 (* z (- y t)))
12.0ms
(* x (/ 2.0 (* z (- y t))))

series26.0ms

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))))

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05973663

prune113.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New77885
Fresh101
Picked011
Done000
Total78987

Merged error: 0.0b

Counts
87 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
5.5b
(* 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:
10.0ms
(/ (/ 2.0 z) (- y t))
20.0ms
(* x (/ (/ 2.0 z) (- y t)))

series19.0ms

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

prune225.0ms

Filtered
142 candidates to 199 candidates (-40.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1945199
Fresh437
Picked101
Done011
Total1999208

Merged error: 0b

Counts
208 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.9b
(* x (/ (sqrt 2.0) (* (cbrt (- y t)) (* (cbrt (- y t)) (* (cbrt z) (cbrt z))))))
1.1b
(/ (sqrt 2.0) (* (cbrt (- y t)) (* (cbrt (- y t)) (* (cbrt z) (cbrt z)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
28×cbrt-div
24×add-cbrt-cube
20×add-sqr-sqrt
18×*-un-lft-identity associate-*r*
17×prod-exp cbrt-unprod
16×associate-*l/ associate-/r/
14×add-cube-cbrt flip3-- flip--
12×times-frac
10×cbrt-prod
9×sqrt-prod
8×cbrt-undiv frac-times div-exp
6×pow1 associate-/l*
5×associate-*r/
4×add-log-exp
3×associate-*l*
2×pow1/3 div-inv distribute-lft-out-- difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 111
Calls
4 calls:
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
20.0ms
(* x (/ (sqrt 2.0) (* (cbrt (- y t)) (* (cbrt (- y t)) (* (cbrt z) (cbrt z))))))
19.0ms
(/ (sqrt 2.0) (* (cbrt (- y t)) (* (cbrt (- y t)) (* (cbrt z) (cbrt z)))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- y t))
27.0ms
(cbrt (- y t))
58.0ms
(* x (/ (sqrt 2.0) (* (cbrt (- y t)) (* (cbrt (- y t)) (* (cbrt z) (cbrt z))))))
61.0ms
(/ (sqrt 2.0) (* (cbrt (- y t)) (* (cbrt (- y t)) (* (cbrt z) (cbrt z)))))

simplify34.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
053732052

prune202.0ms

Filtered
88 candidates to 123 candidates (-39.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh077
Picked011
Done011
Total1239132

Merged error: 0b

Counts
132 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
4.7b
(* (* x (/ (sqrt 2.0) (* (cbrt z) (cbrt z)))) (/ (/ (sqrt 2.0) (cbrt z)) (- y t)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
380×times-frac
253×add-sqr-sqrt *-un-lft-identity
206×associate-*r*
173×add-cube-cbrt
99×cbrt-prod
90×sqrt-prod
58×add-exp-log
48×add-cbrt-cube
40×distribute-lft-out-- difference-of-squares
24×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
9×pow1
6×div-inv
4×add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-/r/
1×frac-times flip3-- associate-*l* associate-*l/ *-commutative flip--
Counts
4 → 277
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
45.0ms
(* (* x (/ (sqrt 2.0) (* (cbrt z) (cbrt z)))) (/ (/ (sqrt 2.0) (cbrt z)) (- y t)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
21.0ms
(cbrt z)
26.0ms
(cbrt z)
26.0ms
(* (* x (/ (sqrt 2.0) (* (cbrt z) (cbrt z)))) (/ (/ (sqrt 2.0) (cbrt z)) (- y t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
049945341
149945341

prune343.0ms

Filtered
168 candidates to 289 candidates (-72.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2881289
Fresh156
Picked011
Done022
Total2899298

Merged error: 0b

Counts
298 → 9

regimes403.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03131
13131

end0.0ms

sample587.0ms

Algorithm
intervals
Results
333.0ms8000×body80valid
27.0ms674×body80invalid

Profiling

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