Details

Time bar (total: 23.2s)

sample515.0ms

Algorithm
intervals
Results
181.0ms40×body5120valid
167.0ms86×body2560valid
90.0ms132×body1280valid
40.0ms82×body640valid
7.0ms21×body320valid
6.0ms61×body80valid
4.0ms20×body160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
04413
114713
285712
3500211

prune11.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 40.0b

Counts
2 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ k t) 2.0)
0.3b
(* (pow t 3.0) (tan k))
18.9b
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
31.1b
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

rewrite49.0ms

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:
4.0ms
(pow (/ k t) 2.0)
5.0ms
(* (pow t 3.0) (tan k))
17.0ms
(/ (* 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)))

series890.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(pow (/ k t) 2.0)
227.0ms
(* (pow t 3.0) (tan k))
357.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k))) (sin k)))
240.0ms
(* (pow (/ k t) 2.0) (* (pow t 3.0) (tan k)))

simplify138.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09741954
149951620
250011620

prune395.0ms

Filtered
191 candidates to 88 candidates (46.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1865191
Fresh011
Picked101
Done000
Total1876193

Merged error: 19.6b

Counts
193 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sin k) 2)
4.9b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
7.2b
(* (pow k 2.0) (pow t 1.0))
14.0b
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
1597×add-exp-log
1095×prod-exp
882×pow-exp
668×div-exp
492×pow-to-exp
130×rec-exp 1-exp
37×add-sqr-sqrt
32×unpow-prod-down
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×times-frac associate-*r*
18×associate-*l*
14×sqr-pow
12×unswap-sqr
8×associate-/r*
6×cbrt-unprod
5×pow1
4×cbrt-undiv unpow2 add-log-exp
3×pow-unpow div-inv
2×*-commutative
1×pow-pow frac-2neg associate-*r/ clear-num associate-/l*
Counts
4 → 567
Calls
4 calls:
3.0ms
(pow (sin k) 2)
8.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
7.0ms
(* (pow k 2.0) (pow t 1.0))
21.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series1.1s

Counts
4 → 12
Calls
4 calls:
18.0ms
(pow (sin k) 2)
83.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
321.0ms
(* (pow k 2.0) (pow t 1.0))
635.0ms
(* (pow (/ 1 (* (pow k 2.0) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify151.0ms

Algorithm
egg-herbie
Counts
579 → 579
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
011806917
137316762
250036761

prune548.0ms

Filtered
579 candidates to 96 candidates (16.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New56910579
Fresh235
Picked101
Done000
Total57213585

Merged error: 14.7b

Counts
585 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
0.4b
(pow (sin k) 2)
4.9b
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
14.0b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
5603×add-exp-log
4515×prod-exp
3078×pow-exp
2032×div-exp
1869×pow-to-exp
434×rec-exp 1-exp
27×add-cbrt-cube
23×add-sqr-sqrt
22×times-frac
20×unpow-prod-down
18×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×associate-*l*
9×associate-/r*
8×cbrt-unprod
7×cbrt-undiv
6×pow1 sqr-pow
4×div-inv associate-/l* unpow2 add-log-exp
3×pow-unpow unswap-sqr
2×frac-2neg clear-num
1×pow-flip pow-pow associate-*r/ *-commutative inv-pow
Counts
4 → 1460
Calls
4 calls:
11.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
3.0ms
(pow (sin k) 2)
12.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
34.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

series1.3s

Counts
4 → 12
Calls
4 calls:
322.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
21.0ms
(pow (sin k) 2)
85.0ms
(/ (* (cos k) (pow l 2)) (pow (sin k) 2))
836.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))

simplify311.0ms

Algorithm
egg-herbie
Counts
1472 → 1472
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0174223543
1457419111
2500217858

prune512.0ms

Filtered
1472 candidates to 87 candidates (5.9%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New146661472
Fresh3912
Picked011
Done000
Total1469161485

Merged error: 11.7b

Counts
1485 → 16

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (cos k) (sin k))
0.4b
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
2.1b
(* (/ (cos k) (sin k)) (/ l (/ (sin k) l)))
14.0b
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (* (/ (cos k) (sin k)) (/ l (/ (sin k) l))))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
3841×add-exp-log
2622×prod-exp
1370×div-exp
1330×pow-exp
679×pow-to-exp
248×rec-exp 1-exp
99×times-frac
80×add-sqr-sqrt
65×add-cbrt-cube
59×add-cube-cbrt *-un-lft-identity
45×associate-*r*
24×associate-*l*
22×cbrt-undiv cbrt-unprod
8×div-inv
7×pow1 unpow-prod-down
6×associate-/l* unswap-sqr
5×associate-*r/
4×associate-/r* add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
1×pow-flip pow-prod-down associate-/r/ inv-pow sqr-pow
Counts
4 → 931
Calls
4 calls:
4.0ms
(/ (cos k) (sin k))
12.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
21.0ms
(* (/ (cos k) (sin k)) (/ l (/ (sin k) l)))
31.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (* (/ (cos k) (sin k)) (/ l (/ (sin k) l))))

series1.1s

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (cos k) (sin k))
325.0ms
(/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0))))
86.0ms
(* (/ (cos k) (sin k)) (/ l (/ (sin k) l)))
630.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (* (/ (cos k) (sin k)) (/ l (/ (sin k) l))))

simplify169.0ms

Algorithm
egg-herbie
Counts
943 → 943
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0214715097
1500212259

prune662.0ms

Filtered
943 candidates to 134 candidates (14.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9376943
Fresh8614
Picked101
Done101
Total94712959

Merged error: 7.6b

Counts
959 → 12

regimes501.0ms

Accuracy

35.4% (4.6b remaining)

Error of 12.8b against oracle of 8.2b and baseline of 15.3b

bsearch1.1s

Steps
ItersRangePoint
6
4.062592179265397e+152
3.970566584078497e+153
3.7156081381285796e+153
9
6.404030368164304e-239
1.2444337861141637e-232
2.6367243250483916e-235
11
-1.3978765738910418e-81
-5.4082340853716294e-104
-2.2363941753666618e-92
7
-5.1432851240181534e+154
-3.605266790381871e+152
-2.9921320065094955e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07580
17580

end0.0ms

sample13.1s

Algorithm
intervals
Results
4.1s2204×body2560valid
3.9s913×body5120valid
2.9s4105×body1280valid
1.2s2462×body640valid
338.0ms1025×body320valid
207.0ms1933×body80valid
101.0ms442×body160valid