Details

Time bar (total: 16.4s)

sample120.0ms

Algorithm
intervals
Results
41.0ms59×body1280valid
29.0ms61×body640valid
20.0ms204×body80valid
9.0ms28×body320valid
4.0ms16×body160valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04813
115813
290313
3500113

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize27.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.4b
(* (/ (pow t 3.0) (* l l)) (sin k))
13.1b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
17.9b
(/ (pow t 3.0) (* l l))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
58×prod-exp
52×add-cbrt-cube
26×cbrt-unprod
24×div-exp
21×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
17×times-frac
16×associate-*l/
14×add-cube-cbrt
13×associate-*l*
11×associate-*r*
10×frac-times unpow-prod-down pow-prod-down
8×tan-quot cbrt-undiv pow-to-exp pow-exp
7×associate-/l*
6×associate-*r/
4×flip3-+ flip-+ add-log-exp unswap-sqr sqr-pow
3×*-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r*
Counts
4 → 144
Calls
4 calls:
12.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
9.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
23.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
6.0ms
(/ (pow t 3.0) (* l l))

series1.4s

Counts
4 → 12
Calls
4 calls:
327.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
250.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
636.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
180.0ms
(/ (pow t 3.0) (* l l))

simplify121.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08011619
146461348
250021348

prune517.0ms

Filtered
156 candidates to 93 candidates (59.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 17.0b

localize32.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
5.6b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.7b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
13.1b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
304×add-exp-log
184×prod-exp
78×add-cbrt-cube
77×div-exp
50×add-sqr-sqrt
49×times-frac
44×associate-*l/ cbrt-unprod
42×*-un-lft-identity
37×add-cube-cbrt
36×associate-*l*
34×frac-times
33×pow-exp
29×pow1
24×unpow-prod-down
22×pow-to-exp
17×pow-prod-down
16×tan-quot
14×associate-*r/
12×cbrt-undiv
11×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+ sqr-pow
5×associate-/l* unswap-sqr
4×add-log-exp
3×associate-/r* *-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 229
Calls
4 calls:
17.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
5.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
31.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.5s

Counts
4 → 12
Calls
4 calls:
361.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
234.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
198.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
738.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013473795
150013312

prune1.0s

Filtered
241 candidates to 150 candidates (62.2%)
Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.5b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
3.2b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
5.6b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
13.1b
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
1050×add-exp-log
734×prod-exp
255×div-exp
151×add-cbrt-cube
145×pow-to-exp pow-exp
96×cbrt-unprod
47×associate-*l/
40×add-sqr-sqrt
37×associate-*l*
35×frac-times
34×pow1 times-frac
33×associate-*r/
32×*-un-lft-identity
27×add-cube-cbrt
20×unpow-prod-down pow-prod-down
19×cbrt-undiv
16×tan-quot
12×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+
5×unswap-sqr
4×*-commutative add-log-exp sqr-pow
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 366
Calls
4 calls:
19.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
24.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
15.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
39.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series1.6s

Counts
4 → 12
Calls
4 calls:
289.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
362.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
234.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
744.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify88.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014796579
150015389

prune963.0ms

Filtered
378 candidates to 138 candidates (36.5%)
Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 11.2b

localize31.0ms

Local error

Found 4 expressions with local error:

13.1b
(* (* (* (* (cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))) (cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
31.7b
(cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
31.7b
(cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
31.7b
(cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
1351×associate-*l/
1220×frac-times
968×associate-*r/
873×cbrt-div
192×tan-quot
128×flip3-+ flip-+
18×pow1 add-exp-log
14×add-cbrt-cube
10×*-un-lft-identity pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt associate-*r*
4×add-log-exp
3×cbrt-prod pow1/3 distribute-lft-out
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative
Counts
4 → 447
Calls
4 calls:
49.0ms
(* (* (* (* (cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))) (cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
15.0ms
(cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
19.0ms
(cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
15.0ms
(cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))

series1.7s

Counts
4 → 12
Calls
4 calls:
731.0ms
(* (* (* (* (cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))) (cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
258.0ms
(cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
470.0ms
(cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
265.0ms
(cbrt (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))))

simplify228.0ms

Algorithm
egg-herbie
Counts
459 → 459
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0413424349
1500124093

prune1.6s

Filtered
459 candidates to 207 candidates (45.1%)
Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 11.1b

regimes675.0ms

Accuracy

18% (6.0b remaining)

Error of 16.7b against oracle of 10.7b and baseline of 18.0b

bsearch491.0ms

Steps
ItersRangePoint
6
5.925282895356877e+85
5.91808030574247e+86
6.750372014370135e+85
9
1.6174614820314875e-82
1.3573450603059923e-77
2.054327887557427e-79
8
-1.200903076563444e-59
-9.067378740971964e-64
-9.230157332676947e-64
9
-5.8276681929279876e+69
-7.127738674956833e+62
-3.9030401826083535e+67

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088138
188138

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.4s2038×body1280valid
834.0ms1746×body640valid
609.0ms5919×body80valid
302.0ms900×body320valid
107.0ms443×body160valid