Details

Time bar (total: 11.5s)

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
1.6%98.3%0.1%8
2.3%97.5%0.1%9
7.4%90.9%1.7%10
9.2%87.4%3.5%11
11.7%83.5%4.8%12
15.2%76%8.8%13
16.4%72%11.6%14

sample134.0ms

Algorithm
intervals
Results
55.0ms64×body1280valid
28.0ms51×body640valid
13.0ms99×body80valid
12.0ms30×body320valid
5.0ms41×body80invalid
3.0ms12×body160valid
2.0msbody640invalid
1.0msbody320invalid
1.0msbody160invalid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0508625

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 31.4b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

2.5b
(*.f64 (*.f64 (/.f64 (pow.f64 t 3.0) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
3.1b
(*.f64 (/.f64 (pow.f64 t 3.0) (*.f64 l l)) (sin.f64 k))
10.5b
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3.0) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))
17.7b
(/.f64 (pow.f64 t 3.0) (*.f64 l l))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log_binary64
58×prod-exp_binary64
52×add-cbrt-cube_binary64
26×cbrt-unprod_binary64
24×div-exp_binary64
21×add-sqr-sqrt_binary64
20×pow1_binary64
19×*-un-lft-identity_binary64
17×times-frac_binary64
16×associate-*l/_binary64
14×add-cube-cbrt_binary64
13×associate-*l*_binary64
11×associate-*r*_binary64
10×pow-prod-down_binary64 unpow-prod-down_binary64 frac-times_binary64
pow-to-exp_binary64 cbrt-undiv_binary64 pow-exp_binary64 tan-quot_binary64
associate-/l*_binary64
associate-*r/_binary64
flip3-+_binary64 add-log-exp_binary64 sqr-pow_binary64 unswap-sqr_binary64 flip-+_binary64
distribute-lft-out_binary64 *-commutative_binary64
div-inv_binary64
associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 144
Calls
4 calls:
12.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3.0) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
10.0ms
(*.f64 (/.f64 (pow.f64 t 3.0) (*.f64 l l)) (sin.f64 k))
25.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3.0) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))
7.0ms
(/.f64 (pow.f64 t 3.0) (*.f64 l l))

series383.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3.0) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
67.0ms
(*.f64 (/.f64 (pow.f64 t 3.0) (*.f64 l l)) (sin.f64 k))
182.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3.0) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))
48.0ms
(/.f64 (pow.f64 t 3.0) (*.f64 l l))

simplify61.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049842518
149842518

prune235.0ms

Filtered
94 candidates to 156 candidates (-66.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New14412156
Fresh000
Picked101
Done000
Total14512157

Merged error: 11.3b

Counts
157 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

2.5b
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3.0) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k))
3.8b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))
6.4b
(/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3.0) l)
10.5b
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3.0) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
304×add-exp-log_binary64
184×prod-exp_binary64
78×add-cbrt-cube_binary64
77×div-exp_binary64
50×add-sqr-sqrt_binary64
49×times-frac_binary64
44×cbrt-unprod_binary64 associate-*l/_binary64
42×*-un-lft-identity_binary64
37×add-cube-cbrt_binary64
36×associate-*l*_binary64
34×frac-times_binary64
33×pow-exp_binary64
29×pow1_binary64
24×unpow-prod-down_binary64
22×pow-to-exp_binary64
17×pow-prod-down_binary64
16×tan-quot_binary64
14×associate-*r/_binary64
12×cbrt-undiv_binary64
11×associate-*r*_binary64
10×cbrt-prod_binary64
flip3-+_binary64 sqr-pow_binary64 flip-+_binary64
unswap-sqr_binary64 associate-/l*_binary64
add-log-exp_binary64
associate-/r*_binary64 distribute-lft-out_binary64 *-commutative_binary64
div-inv_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 229
Calls
4 calls:
18.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3.0) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k))
12.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))
6.0ms
(/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3.0) l)
35.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3.0) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))

series427.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3.0) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k))
67.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))
51.0ms
(/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3.0) l)
211.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3.0) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
059495575

prune370.0ms

Filtered
136 candidates to 241 candidates (-77.2%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New22813241
Fresh5611
Picked101
Done000
Total23419253

Merged error: 7.3b

Counts
253 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

1.1b
(*.f64 (*.f64 (pow.f64 (cbrt.f64 t) 3.0) (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k)))
2.5b
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 t) 3.0) (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k))
3.8b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))
10.5b
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 t) 3.0) (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
1050×add-exp-log_binary64
734×prod-exp_binary64
255×div-exp_binary64
151×add-cbrt-cube_binary64
145×pow-to-exp_binary64 pow-exp_binary64
96×cbrt-unprod_binary64
47×associate-*l/_binary64
40×add-sqr-sqrt_binary64
37×associate-*l*_binary64
35×frac-times_binary64
34×pow1_binary64 times-frac_binary64
33×associate-*r/_binary64
32×*-un-lft-identity_binary64
27×add-cube-cbrt_binary64
20×pow-prod-down_binary64 unpow-prod-down_binary64
19×cbrt-undiv_binary64
16×tan-quot_binary64
12×associate-*r*_binary64
10×cbrt-prod_binary64
flip3-+_binary64 flip-+_binary64
unswap-sqr_binary64
add-log-exp_binary64 sqr-pow_binary64 *-commutative_binary64
distribute-lft-out_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64
Counts
4 → 366
Calls
4 calls:
25.0ms
(*.f64 (*.f64 (pow.f64 (cbrt.f64 t) 3.0) (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k)))
25.0ms
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 t) 3.0) (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k))
11.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))
44.0ms
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 t) 3.0) (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))

series447.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(*.f64 (*.f64 (pow.f64 (cbrt.f64 t) 3.0) (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k)))
97.0ms
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 t) 3.0) (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k))
65.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))
210.0ms
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 t) 3.0) (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049967410
149967410

prune336.0ms

Filtered
121 candidates to 378 candidates (-212.4%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New3699378
Fresh61218
Picked101
Done000
Total37621397

Merged error: 7.0b

Counts
397 → 21

localize39.0ms

Local error

Found 4 expressions with local error:

1.1b
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (cbrt.f64 l))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k)))
2.5b
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (cbrt.f64 l))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k))
3.8b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))
10.5b
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (cbrt.f64 l))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
5034×add-exp-log_binary64
3200×prod-exp_binary64
1557×div-exp_binary64
709×pow-exp_binary64
424×pow-to-exp_binary64
340×add-cbrt-cube_binary64
246×cbrt-unprod_binary64
125×associate-*l/_binary64
103×frac-times_binary64
85×cbrt-undiv_binary64
61×pow1_binary64
41×pow-prod-down_binary64
40×add-sqr-sqrt_binary64
37×associate-*l*_binary64
34×times-frac_binary64
33×associate-*r/_binary64
32×*-un-lft-identity_binary64 tan-quot_binary64
27×add-cube-cbrt_binary64
20×unpow-prod-down_binary64
16×flip3-+_binary64 flip-+_binary64
12×associate-*r*_binary64
10×cbrt-prod_binary64
unswap-sqr_binary64
add-log-exp_binary64 sqr-pow_binary64 *-commutative_binary64
distribute-lft-out_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64 div-inv_binary64
Counts
4 → 939
Calls
4 calls:
33.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (cbrt.f64 l))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k)))
39.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (cbrt.f64 l))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k))
12.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))
63.0ms
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (cbrt.f64 l))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))

series461.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (cbrt.f64 l))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k)))
104.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (cbrt.f64 l))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k))
63.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))
213.0ms
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) (/.f64 3.0 2)) (cbrt.f64 l))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))

simplify248.0ms

Algorithm
egg-herbie
Counts
951 → 951
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0499528088
1499528088

prune429.0ms

Filtered
168 candidates to 951 candidates (-466.1%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New9465951
Fresh21820
Picked101
Done000
Total94923972

Merged error: 6.6b

Counts
972 → 23

regimes707.0ms

Accuracy

56% (3.5b remaining)

Error of 12.7b against oracle of 9.2b and baseline of 17.1b

bsearch161.0ms

Steps
ItersRangePoint
7
2.3093345298871878e-122
9.575658850850575e-121
7.129027988873192e-121
8
-2.2183794639853565e-68
-1.0076907622801658e-71
-4.2577074819879283e-69

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06390
16390

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.6s2036×body1280valid
860.0ms1542×body640valid
448.0ms3285×body80valid
323.0ms809×body320valid
182.0ms1342×body80invalid
89.0ms328×body160valid
71.0ms129×body640invalid
49.0ms129×body320invalid
26.0ms30×body1280invalid
23.0ms84×body160invalid

Profiling

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