Details

Time bar (total: 5.9s)

sample51.0ms

Algorithm
intervals
Results
18.0ms275×body80nan
17.0ms256×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* 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))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite42.0ms

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:
6.0ms
(* 3.0 (* v v))
4.0ms
(* PI t)
19.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series834.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
596.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
187.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07531153
142561002
250011002

prune294.0ms

Filtered
106 candidates to 72 candidates (67.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107

Merged error: 0.1b

Counts
107 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.3b
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
25×add-cbrt-cube
22×pow1
16×prod-exp
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity pow-prod-down cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l*
6×div-exp
4×sqrt-div add-log-exp
3×cbrt-undiv rec-exp pow-flip times-frac 1-exp *-commutative associate-/l*
2×flip3-- associate-/r/ flip-- unswap-sqr
1×frac-2neg clear-num associate-/r* sqrt-prod div-inv inv-pow
Counts
4 → 93
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
4.0ms
(* PI t)
11.0ms
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
26.0ms
(* PI t)
276.0ms
(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
189.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0460716
12270633
25001627

prune229.0ms

Filtered
105 candidates to 61 candidates (58.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1005105
Fresh527
Picked011
Done000
Total1058113

Merged error: 0.0b

Counts
113 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI t)
0.3b
(/ 1 (* PI t))
0.5b
(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
41×add-exp-log
30×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
15×div-exp
14×pow1
10×prod-exp associate-/l*
8×sqrt-prod
7×cbrt-undiv div-inv
6×associate-*l* cbrt-unprod
5×pow-prod-down associate-/r*
4×rec-exp 1-exp associate-*r* add-log-exp
2×pow-flip frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative unswap-sqr
1×flip3-- flip-- associate-/l/ inv-pow
Counts
4 → 127
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
4.0ms
(* PI t)
5.0ms
(/ 1 (* PI t))
11.0ms
(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* v v))
20.0ms
(* PI t)
36.0ms
(/ 1 (* PI t))
271.0ms
(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify77.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05341066
12431980
25002956

prune287.0ms

Filtered
139 candidates to 76 candidates (54.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1345139
Fresh606
Picked011
Done011
Total1407147

Merged error: 0b

Counts
147 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* 3.0 (* v v))
0.4b
(/ (/ 1 PI) t)
0.5b
(/ (/ (/ 1 PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
577×times-frac
269×add-sqr-sqrt
267×add-cube-cbrt *-un-lft-identity
56×associate-/l*
44×sqrt-prod
38×add-exp-log
28×add-cbrt-cube
26×div-inv
17×div-exp
14×pow1
9×cbrt-undiv
7×associate-/r*
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×rec-exp frac-2neg sqrt-div 1-exp associate-*r/ associate-*r* clear-num associate-/r/ *-commutative associate-/l/ unswap-sqr
1×flip3-- flip--
Counts
4 → 350
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
6.0ms
(* 3.0 (* v v))
6.0ms
(/ (/ 1 PI) t)
23.0ms
(/ (/ (/ 1 PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
24.0ms
(* 3.0 (* v v))
36.0ms
(/ (/ 1 PI) t)
274.0ms
(/ (/ (/ 1 PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
362 → 362
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013974833
150014592

prune839.0ms

Filtered
362 candidates to 230 candidates (63.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3611362
Fresh224
Picked011
Done022
Total3636369

Merged error: 0b

Counts
369 → 6

regimes129.0ms

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
02715
12715

end0.0ms

sample1.3s

Algorithm
intervals
Results
524.0ms8001×body80valid
512.0ms8104×body80nan