Details

Time bar (total: 10.7s)

sample148.0ms

Algorithm
intervals
Results
54.0ms69×body1280valid
35.0ms58×body640valid
26.0ms211×body80valid
9.0ms25×body320valid
3.0ms11×body160valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
0508625

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: 31.2b

Counts
2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
2.9b
(* (/ (pow t 3.0) (* l l)) (sin k))
13.8b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
19.4b
(/ (pow t 3.0) (* l l))

rewrite57.0ms

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:
11.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
9.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
25.0ms
(* (* (* (/ (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))

series335.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
57.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
160.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
43.0ms
(/ (pow t 3.0) (* l l))

simplify56.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049972562
149972562

prune276.0ms

Filtered
98 candidates to 156 candidates (-59.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1488156
Fresh011
Picked011
Done000
Total14810158

Merged error: 22.1b

Counts
158 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
2.9b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
10.9b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
13.8b
(* (* (* (/ (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))

rewrite77.0ms

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:
16.0ms
(* (* (/ (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)
32.0ms
(* (* (* (/ (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))

series369.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
55.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
45.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
186.0ms
(* (* (* (/ (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))

simplify89.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049665639
149665639

prune518.0ms

Filtered
138 candidates to 241 candidates (-74.6%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New22912241
Fresh358
Picked101
Done011
Total23318251

Merged error: 16.1b

Counts
251 → 18

localize43.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.7b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
2.9b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
13.8b
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
3594×add-exp-log
2366×prod-exp
1039×div-exp
474×pow-exp
284×pow-to-exp
253×add-cbrt-cube
187×cbrt-unprod
116×associate-*l/
98×frac-times
57×cbrt-undiv
50×pow1
43×add-sqr-sqrt
36×associate-*l*
35×*-un-lft-identity
34×times-frac
33×pow-prod-down
32×tan-quot
30×add-cube-cbrt associate-*r/
26×unpow-prod-down
16×flip3-+ flip-+
13×cbrt-prod
11×associate-*r*
5×unswap-sqr sqr-pow
4×add-log-exp
3×pow-unpow *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 div-inv
Counts
4 → 688
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
37.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
11.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
64.0ms
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series381.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(pow (cbrt t) 3.0)
86.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
57.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
189.0ms
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify216.0ms

Algorithm
egg-herbie
Counts
700 → 700
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
0505921112

prune872.0ms

Filtered
165 candidates to 700 candidates (-324.2%)
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New68614700
Fresh61016
Picked101
Done011
Total69325718

Merged error: 15.0b

Counts
718 → 25

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
0.7b
(pow (cbrt t) 3.0)
2.9b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.0b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ 1.0 (+ 1.0 (pow (/ k t) 2.0)))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
5033×add-exp-log
3199×prod-exp
1557×div-exp
710×pow-exp
425×pow-to-exp
338×add-cbrt-cube
245×cbrt-unprod
86×frac-times
85×cbrt-undiv
79×associate-*l/
60×pow1
42×associate-*r/
41×add-sqr-sqrt
40×pow-prod-down
36×associate-*l*
34×times-frac
28×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down
24×tan-quot
16×flip3-+ flip-+
13×cbrt-prod
5×associate-*r* unswap-sqr sqr-pow
4×distribute-rgt-in distribute-lft-in add-log-exp
3×pow-unpow *-commutative
2×pow-pow
1×pow1/3 div-inv
Counts
4 → 928
Calls
4 calls:
25.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
3.0ms
(pow (cbrt t) 3.0)
15.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
50.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ 1.0 (+ 1.0 (pow (/ k t) 2.0)))))

series367.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
49.0ms
(pow (cbrt t) 3.0)
57.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
191.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ 1.0 (+ 1.0 (pow (/ k t) 2.0)))))

simplify266.0ms

Algorithm
egg-herbie
Counts
940 → 940
Iterations

Useful iterations: 0 (113.0ms)

IterNodesCost
0557128919

prune624.0ms

Filtered
153 candidates to 940 candidates (-514.4%)
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New9355940
Fresh41923
Picked101
Done011
Total94025965

Merged error: 14.0b

Counts
965 → 25

regimes1.2s

Accuracy

0% (3.5b remaining)

Error of 17.1b against oracle of 13.6b and baseline of 17.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03852
13852

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.7s2072×body1280valid
981.0ms1767×body640valid
752.0ms5822×body80valid
324.0ms821×body320valid
104.0ms398×body160valid

Profiling

Loading profile data...