Details

Time bar (total: 5.7s)

analyze909.0ms

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
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14

sample65.0ms

Algorithm
intervals
Results
27.0ms374×body80nan
17.0ms256×body80valid

simplify187.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (185.0ms)

IterNodesCost
0520719

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: 1.0b

Counts
2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.3b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
6.0ms
(* 3.0 (/ x (* y 27.0)))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series35.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
18.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049802022
149802022

prune180.0ms

Filtered
84 candidates to 142 candidates (-69.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1402142
Fresh101
Picked011
Done000
Total1413144

Merged error: 0b

Counts
144 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
1.0b
(/ 1.0 (cbrt 3.0))
3.3b
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
4.1b
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
57×add-sqr-sqrt
51×times-frac
44×add-cube-cbrt *-un-lft-identity
39×prod-exp cbrt-unprod
35×associate-*r*
22×cbrt-undiv cbrt-prod div-exp
17×associate-*l*
13×pow1
6×associate-/r*
5×pow-prod-down associate-*l/ unswap-sqr
4×div-inv add-log-exp
3×associate-*r/ sqrt-prod *-commutative associate-/l*
2×frac-times
1×frac-2neg clear-num
Counts
4 → 169
Calls
4 calls:
8.0ms
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
4.0ms
(/ 1.0 (cbrt 3.0))
12.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
11.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

series43.0ms

Counts
4 → 10
Calls
4 calls:
19.0ms
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
0.0ms
(/ 1.0 (cbrt 3.0))
17.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
6.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049902609
149902609

prune433.0ms

Filtered
125 candidates to 179 candidates (-43.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1781179
Fresh101
Picked101
Done011
Total1802182

Merged error: 0b

Counts
182 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* 1.0 (acos (* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t))))) (pow (cbrt 3.0) 3))
1.0b
(pow (cbrt 3.0) 3)
2.8b
(* (/ x (* 2.0 (* y 27.0))) (sqrt t))
6.4b
(* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
68×add-cbrt-cube
34×add-sqr-sqrt prod-exp
32×cbrt-unprod
30×add-cube-cbrt *-un-lft-identity times-frac
20×div-exp associate-*l*
18×cbrt-prod unpow-prod-down cube-prod associate-/r*
16×cbrt-undiv
12×pow1
7×associate-*r*
4×pow-prod-down associate-*l/ sqrt-prod add-log-exp
3×cube-mult pow-to-exp pow-unpow unpow3 pow-exp div-inv sqr-pow
2×pow-pow *-commutative unswap-sqr
1×frac-times frac-2neg pow1/3 associate-*r/ clear-num associate-/l* rem-cube-cbrt
Counts
4 → 165
Calls
4 calls:
6.0ms
(/ (* 1.0 (acos (* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t))))) (pow (cbrt 3.0) 3))
2.0ms
(pow (cbrt 3.0) 3)
10.0ms
(* (/ x (* 2.0 (* y 27.0))) (sqrt t))
13.0ms
(* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t)))

series42.0ms

Counts
4 → 10
Calls
4 calls:
8.0ms
(/ (* 1.0 (acos (* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t))))) (pow (cbrt 3.0) 3))
0.0ms
(pow (cbrt 3.0) 3)
16.0ms
(* (/ x (* 2.0 (* y 27.0))) (sqrt t))
18.0ms
(* (/ 3.0 z) (* (/ x (* 2.0 (* y 27.0))) (sqrt t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050712510

prune204.0ms

Filtered
89 candidates to 175 candidates (-96.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1750175
Fresh000
Picked011
Done011
Total1752177

Merged error: 0b

Counts
177 → 2

regimes650.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02622
12622

end0.0ms

analyze900.0ms

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
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14

sample1.7s

Algorithm
intervals
Results
660.0ms10346×body80nan
539.0ms8000×body80valid

Profiling

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