Details

Time bar (total: 2.5s)

analyze105.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14

sample27.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0499128
1499128

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: 0.3b

Counts
2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 5.0 (* v v))
0.3b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
40.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
21.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051431888

prune208.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New988106
Fresh101
Picked011
Done000
Total999108

Merged error: 0.1b

Counts
108 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (* v v))
0.3b
(/ 1 (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
25×add-cbrt-cube
22×pow1
16×associate-*r/ prod-exp
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity pow-prod-down cbrt-unprod
9×associate-*l*
6×sqrt-div div-exp associate-*r*
4×add-log-exp
3×cbrt-undiv rec-exp flip3-- pow-flip times-frac 1-exp *-commutative flip-- associate-/l*
2×associate-/r/ unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod div-inv inv-pow
Counts
4 → 95
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
10.0ms
(/ 1 (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
8.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series71.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
29.0ms
(/ 1 (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
21.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
18.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049641435
149641435

prune183.0ms

Filtered
70 candidates to 107 candidates (-52.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1034107
Fresh437
Picked101
Done101
Total1097116

Merged error: 0.0b

Counts
116 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* v 5.0))
0.1b
(* 3.0 (* v v))
0.3b
(/ (/ 1 PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
31×times-frac
28×add-cbrt-cube
25×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×pow1
13×associate-/l*
12×div-exp
11×prod-exp
9×associate-*l* cbrt-unprod
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv associate-*r*
4×sqrt-div add-log-exp
3×*-commutative div-inv
2×rec-exp flip3-- 1-exp associate-/r/ flip-- unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod associate-/l/
Counts
4 → 110
Calls
4 calls:
5.0ms
(* v (* v 5.0))
6.0ms
(* 3.0 (* v v))
11.0ms
(/ (/ 1 PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* v (* v 5.0))
3.0ms
(* 3.0 (* v v))
30.0ms
(/ (/ 1 PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
20.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
051611593

prune189.0ms

Filtered
76 candidates to 122 candidates (-60.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1202122
Fresh336
Picked011
Done000
Total1236129

Merged error: 0b

Counts
129 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) PI))
0.1b
(* v (* v 5.0))
0.1b
(* 3.0 (* v v))
0.2b
(* (/ 1 t) (/ 1 (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) PI)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
49×prod-exp
40×add-cbrt-cube
34×div-exp
25×add-sqr-sqrt
24×pow1
19×associate-*l*
18×*-un-lft-identity
17×add-cube-cbrt rec-exp times-frac 1-exp
15×cbrt-unprod
12×pow-prod-down
11×associate-*r*
9×cbrt-undiv
6×pow-flip
5×associate-*r/ associate-*l/
4×sqrt-div associate-/r/ add-log-exp unswap-sqr
3×*-commutative div-inv associate-/l* inv-pow
2×flip3-- flip--
1×frac-times frac-2neg clear-num associate-/r* un-div-inv
Counts
4 → 142
Calls
4 calls:
8.0ms
(/ 1 (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) PI))
5.0ms
(* v (* v 5.0))
6.0ms
(* 3.0 (* v v))
16.0ms
(* (/ 1 t) (/ 1 (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) PI)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 1 (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) PI))
3.0ms
(* v (* v 5.0))
3.0ms
(* 3.0 (* v v))
32.0ms
(* (/ 1 t) (/ 1 (* (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))) PI)))

simplify69.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050562136

prune184.0ms

Filtered
80 candidates to 154 candidates (-92.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1531154
Fresh224
Picked011
Done011
Total1555160

Merged error: 0b

Counts
160 → 5

regimes93.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03132
13132

end0.0ms

analyze101.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14

sample647.0ms

Algorithm
intervals
Results
508.0ms8000×body80valid
1.0ms11×body80nan

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