Details

Time bar (total: 8.8s)

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
57.0ms67×body1280valid
30.0ms54×body640valid
13.0ms104×body80valid
9.0ms23×body320valid
5.0ms41×body80invalid
2.0ms8×body160valid
2.0ms5×body320invalid
2.0ms3×body640invalid
1.0ms4×body160invalid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
0516523

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 32.4b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

3.2b
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
3.8b
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
13.2b
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
16.5b
(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log_binary64
58×prod-exp_binary64
52×add-cbrt-cube_binary64
28×times-frac_binary64
26×cbrt-unprod_binary64 add-sqr-sqrt_binary64
24×div-exp_binary64
20×pow1_binary64
19×*-un-lft-identity_binary64
18×associate-*l*_binary64
17×add-cube-cbrt_binary64
16×associate-*l/_binary64
12×associate-/l*_binary64
10×pow-prod-down_binary64 associate-*r*_binary64 unpow-prod-down_binary64 cube-prod_binary64 frac-times_binary64
8×pow-to-exp_binary64 cbrt-undiv_binary64 pow-exp_binary64 tan-quot_binary64
6×associate-*r/_binary64
5×unswap-sqr_binary64
4×flip3-+_binary64 add-log-exp_binary64 sqr-pow_binary64 flip-+_binary64
3×unpow3_binary64 *-commutative_binary64 cube-mult_binary64
2×div-inv_binary64
1×associate-/r*_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 159
Calls
4 calls:
11.0ms
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
15.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
23.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
7.0ms
(/.f64 (pow.f64 t 3) (*.f64 l l))

series152.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k))
40.0ms
(*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
87.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
7.0ms
(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify46.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
054452431

prune184.0ms

Filtered
93 candidates to 171 candidates (-83.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1629171
Fresh000
Picked101
Done000
Total1639172

Merged error: 14.8b

Counts
172 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

3.8b
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
4.0b
(*.f64 (/.f64 t l) (sin.f64 k))
9.8b
(/.f64 (*.f64 t t) l)
13.2b
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
120×add-exp-log_binary64 add-cbrt-cube_binary64
70×cbrt-unprod_binary64 prod-exp_binary64
44×associate-*l/_binary64
34×frac-times_binary64
29×pow1_binary64
21×cbrt-undiv_binary64 add-sqr-sqrt_binary64 div-exp_binary64
18×*-un-lft-identity_binary64
17×pow-prod-down_binary64
16×add-cube-cbrt_binary64 tan-quot_binary64
15×associate-*l*_binary64
14×associate-*r/_binary64
13×times-frac_binary64
10×associate-*r*_binary64
8×flip3-+_binary64 flip-+_binary64
4×add-log-exp_binary64
3×associate-/r*_binary64 *-commutative_binary64
2×unswap-sqr_binary64 div-inv_binary64
1×distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
Counts
4 → 159
Calls
4 calls:
15.0ms
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
7.0ms
(*.f64 (/.f64 t l) (sin.f64 k))
5.0ms
(/.f64 (*.f64 t t) l)
29.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
12.0ms
(*.f64 (/.f64 t l) (sin.f64 k))
4.0ms
(/.f64 (*.f64 t t) l)
88.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

simplify74.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050222693

prune176.0ms

Filtered
94 candidates to 171 candidates (-81.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1647171
Fresh358
Picked101
Done000
Total16812180

Merged error: 10.0b

Counts
180 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

1.3b
(*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k)))
3.8b
(*.f64 (*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
4.0b
(*.f64 (/.f64 t l) (sin.f64 k))
13.2b
(*.f64 (*.f64 (*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
151×add-exp-log_binary64 add-cbrt-cube_binary64
78×cbrt-unprod_binary64 prod-exp_binary64
76×times-frac_binary64
59×associate-*l*_binary64
54×add-sqr-sqrt_binary64
51×*-un-lft-identity_binary64
49×add-cube-cbrt_binary64
47×associate-*l/_binary64
37×cbrt-undiv_binary64 div-exp_binary64
35×frac-times_binary64
34×pow1_binary64
20×pow-prod-down_binary64
16×tan-quot_binary64
15×associate-*r/_binary64
11×associate-*r*_binary64
8×flip3-+_binary64 flip-+_binary64
5×div-inv_binary64
4×add-log-exp_binary64 *-commutative_binary64
2×unswap-sqr_binary64
1×distribute-lft-out_binary64 distribute-lft-in_binary64 associate-/r/_binary64 distribute-rgt-in_binary64
Counts
4 → 214
Calls
4 calls:
16.0ms
(*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k)))
18.0ms
(*.f64 (*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
7.0ms
(*.f64 (/.f64 t l) (sin.f64 k))
32.0ms
(*.f64 (*.f64 (*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k)))
42.0ms
(*.f64 (*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
13.0ms
(*.f64 (/.f64 t l) (sin.f64 k))
88.0ms
(*.f64 (*.f64 (*.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

simplify66.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049783540
149783540

prune238.0ms

Filtered
143 candidates to 226 candidates (-58.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2197226
Fresh7411
Picked011
Done000
Total22612238

Merged error: 7.1b

Counts
238 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

3.0b
(*.f64 (sin.f64 k) (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k))))
4.0b
(*.f64 (/.f64 t l) (sin.f64 k))
6.3b
(/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (sin.f64 k) (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k))))) (*.f64 (/.f64 l t) (cos.f64 k)))
11.0b
(*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (sin.f64 k) (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k)))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
142×add-exp-log_binary64 add-cbrt-cube_binary64
79×cbrt-unprod_binary64 prod-exp_binary64
30×cbrt-undiv_binary64 div-exp_binary64
29×pow1_binary64
20×associate-*l*_binary64
19×add-sqr-sqrt_binary64
17×pow-prod-down_binary64
16×*-un-lft-identity_binary64 associate-*r/_binary64
14×add-cube-cbrt_binary64
13×associate-*l/_binary64
11×times-frac_binary64
5×associate-/l/_binary64 associate-*r*_binary64
4×flip3-+_binary64 add-log-exp_binary64 flip-+_binary64 frac-times_binary64
3×*-commutative_binary64
2×unswap-sqr_binary64 div-inv_binary64
1×associate-/r*_binary64 distribute-lft-out_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
Counts
4 → 143
Calls
4 calls:
13.0ms
(*.f64 (sin.f64 k) (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k))))
7.0ms
(*.f64 (/.f64 t l) (sin.f64 k))
28.0ms
(/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (sin.f64 k) (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k))))) (*.f64 (/.f64 l t) (cos.f64 k)))
21.0ms
(*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (sin.f64 k) (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k)))))

series150.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(*.f64 (sin.f64 k) (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k))))
13.0ms
(*.f64 (/.f64 t l) (sin.f64 k))
69.0ms
(/.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (sin.f64 k) (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k))))) (*.f64 (/.f64 l t) (cos.f64 k)))
45.0ms
(*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (*.f64 (sin.f64 k) (*.f64 t (*.f64 (/.f64 t l) (sin.f64 k)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
054622752

prune120.0ms

Filtered
85 candidates to 155 candidates (-82.4%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1505155
Fresh4610
Picked011
Done011
Total15413167

Merged error: 6.6b

Counts
167 → 13

regimes300.0ms

Accuracy

59.2% (3.0b remaining)

Error of 9.8b against oracle of 6.7b and baseline of 14.2b

bsearch177.0ms

Steps
ItersRangePoint
9
1.4126157147209478e-116
4.7117115521366e-108
3.865341967374077e-108
8
-2307838318295.67
-2906568405.132303
-3109908409.3567014

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04869
14869

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.7s2106×body1280valid
903.0ms1618×body640valid
423.0ms3214×body80valid
284.0ms708×body320valid
177.0ms1405×body80invalid
95.0ms354×body160valid
64.0ms122×body640invalid
44.0ms115×body320invalid
17.0ms22×body1280invalid
17.0ms66×body160invalid

Profiling

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