Details

Time bar (total: 20.7s)

sample441.0ms

Algorithm
intervals
Results
127.0ms70×body2560valid
126.0ms32×body5120valid
100.0ms129×body1280valid
35.0ms68×body640valid
13.0ms36×body320valid
7.0ms55×body80valid
4.0ms15×body160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
04413
114713
285712
3500211

prune14.0ms

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: 39.1b

Counts
2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ k t) 2.0)
0.8b
(* (pow t 3.0) (tan k))
18.8b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
29.2b
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
337×add-exp-log
220×prod-exp
71×div-exp
65×add-cbrt-cube
51×pow-exp
34×pow-to-exp cbrt-unprod
30×unpow-prod-down
28×add-sqr-sqrt
24×associate-*l*
23×add-cube-cbrt *-un-lft-identity
19×times-frac
12×cbrt-undiv
5×pow1 associate-*r/
4×associate-*r* add-log-exp sqr-pow
3×tan-quot pow-unpow div-inv unswap-sqr
2×*-commutative
1×pow-pow frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 179
Calls
4 calls:
5.0ms
(pow (/ k t) 2.0)
5.0ms
(* (pow t 3.0) (tan k))
20.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
11.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(pow (/ k t) 2.0)
52.0ms
(* (pow t 3.0) (tan k))
108.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
70.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify48.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011232068
150021738

prune305.0ms

Filtered
93 candidates to 191 candidates (-105.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New17912191
Fresh011
Picked101
Done000
Total18013193

Merged error: 27.8b

Counts
193 → 13

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (pow t 3.0) (tan k))
15.7b
(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
18.8b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (sin k)))
20.3b
(* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
1610×add-exp-log
1168×prod-exp
346×div-exp
341×pow-exp
205×pow-to-exp
95×add-cbrt-cube
55×cbrt-unprod
41×associate-*l*
30×unpow-prod-down
28×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×times-frac
15×cbrt-undiv
9×associate-*r/
5×associate-*r*
4×tan-quot pow1 add-log-exp sqr-pow
3×*-commutative div-inv unswap-sqr
1×frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 408
Calls
4 calls:
5.0ms
(* (pow t 3.0) (tan k))
16.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
30.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (sin k)))
11.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (pow t 3.0) (tan k))
66.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
110.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (sin k)))
70.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))

simplify85.0ms

Algorithm
egg-herbie
Counts
420 → 420
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
017716487
150025612

prune402.0ms

Filtered
109 candidates to 420 candidates (-285.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New4155420
Fresh3912
Picked101
Done000
Total41914433

Merged error: 27.6b

Counts
433 → 14

localize29.0ms

Local error

Found 4 expressions with local error:

20.3b
(* (pow (/ k t) (/ 2.0 2)) (* (* (cbrt (* (pow t 3.0) (tan k))) (cbrt (* (pow t 3.0) (tan k)))) (cbrt (* (pow t 3.0) (tan k)))))
39.4b
(cbrt (* (pow t 3.0) (tan k)))
39.4b
(cbrt (* (pow t 3.0) (tan k)))
39.4b
(cbrt (* (pow t 3.0) (tan k)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
25×associate-*r/
24×prod-exp
17×associate-*l*
15×tan-quot cbrt-div
13×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac add-cbrt-cube
6×pow-exp cbrt-unprod
5×frac-times associate-*l/
4×pow1 add-log-exp
3×cbrt-prod pow-to-exp pow1/3 div-exp
1×associate-*r* *-commutative div-inv sqr-pow
Counts
4 → 78
Calls
4 calls:
19.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (* (cbrt (* (pow t 3.0) (tan k))) (cbrt (* (pow t 3.0) (tan k)))) (cbrt (* (pow t 3.0) (tan k)))))
4.0ms
(cbrt (* (pow t 3.0) (tan k)))
4.0ms
(cbrt (* (pow t 3.0) (tan k)))
4.0ms
(cbrt (* (pow t 3.0) (tan k)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (* (cbrt (* (pow t 3.0) (tan k))) (cbrt (* (pow t 3.0) (tan k)))) (cbrt (* (pow t 3.0) (tan k)))))
65.0ms
(cbrt (* (pow t 3.0) (tan k)))
62.0ms
(cbrt (* (pow t 3.0) (tan k)))
66.0ms
(cbrt (* (pow t 3.0) (tan k)))

simplify50.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05401366
116011176
250021076

prune333.0ms

Filtered
68 candidates to 90 candidates (-32.4%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New90090
Fresh01313
Picked011
Done000
Total9014104

Merged error: 27.6b

Counts
104 → 14

localize33.0ms

Local error

Found 4 expressions with local error:

6.3b
(* (pow (/ (* (cbrt k) (cbrt k)) 1) (/ 2.0 2)) (* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
14.0b
(* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))
15.7b
(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ (* (cbrt k) (cbrt k)) 1) (/ 2.0 2)) (* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))))
18.8b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ (* (cbrt k) (cbrt k)) 1) (/ 2.0 2)) (* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))) (sin k)))

rewrite732.0ms

Algorithm
rewrite-expression-head
Rules
14090×add-exp-log
10770×prod-exp
3845×pow-exp
3562×div-exp
1729×pow-to-exp
578×1-exp
131×add-cbrt-cube
82×cbrt-unprod
54×associate-*l*
42×unpow-prod-down
31×times-frac
29×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-undiv
13×associate-*r/
9×cbrt-prod
4×tan-quot pow1 div-inv add-log-exp
3×associate-*r* *-commutative sqr-pow
1×frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 2186
Calls
4 calls:
18.0ms
(* (pow (/ (* (cbrt k) (cbrt k)) 1) (/ 2.0 2)) (* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
20.0ms
(* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))
32.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ (* (cbrt k) (cbrt k)) 1) (/ 2.0 2)) (* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))))
80.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ (* (cbrt k) (cbrt k)) 1) (/ 2.0 2)) (* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))) (sin k)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (pow (/ (* (cbrt k) (cbrt k)) 1) (/ 2.0 2)) (* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))
85.0ms
(* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))
82.0ms
(* (pow (/ k t) (/ 2.0 2)) (* (pow (/ (* (cbrt k) (cbrt k)) 1) (/ 2.0 2)) (* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))))
128.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ (* (cbrt k) (cbrt k)) 1) (/ 2.0 2)) (* (pow (/ (cbrt k) t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))) (sin k)))

simplify479.0ms

Algorithm
egg-herbie
Counts
2198 → 2198
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
0500160650

prune779.0ms

Filtered
165 candidates to 2198 candidates (-1232.1%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New219532198
Fresh01212
Picked011
Done011
Total2195172212

Merged error: 27.4b

Counts
2212 → 17

regimes571.0ms

Accuracy

58.4% (3.5b remaining)

Error of 32.4b against oracle of 29.0b and baseline of 37.3b

bsearch425.0ms

Steps
ItersRangePoint
9
3.824841065847023e-130
1.087642074953955e-123
1.0718518478625381e-123
7
-2.4503610416383105e-306
-1.116060608536362e-308
-1.17880698224756e-308
11
-2.9376296039751815e-100
-1.4382302183052345e-125
-1.8567833494549626e-108

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011097
111097

end0.0ms

sample14.5s

Algorithm
intervals
Results
4.5s2234×body2560valid
4.2s964×body5120valid
3.2s4040×body1280valid
1.3s2511×body640valid
379.0ms1005×body320valid
266.0ms2045×body80valid
114.0ms465×body160valid

Profiling

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