Details

Time bar (total: 4.9s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%56.2%43.8%0
0%56.2%43.8%1
0%56.2%43.8%2
42.1%14%43.8%3
42.1%14%43.8%4
52.7%3.5%43.8%5
56.2%0%43.8%6

sample31.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
4.0ms256×pre80true

simplify293.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (283.0ms)

IterNodesCost
0502437

prune5.0ms

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: 0.4b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.1b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
6.7b
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
9.4b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
77×*-un-lft-identity_binary64
34×distribute-lft-out_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
24×flip3-+_binary64 flip-+_binary64
21×associate-*r*_binary64 add-sqr-sqrt_binary64
18×associate-/r/_binary64
16×frac-times_binary64
15×add-cube-cbrt_binary64
14×times-frac_binary64
13×pow1_binary64
11×swap-sqr_binary64
10×cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64 associate-*l/_binary64
9×associate-*l*_binary64
8×associate-*r/_binary64
7×associate-/l/_binary64
6×associate-/r*_binary64
5×associate-/l*_binary64
4×add-log-exp_binary64
3×unswap-sqr_binary64 div-inv_binary64
2×pow-prod-down_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×pow-prod-up_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 pow-plus_binary64 pow-sqr_binary64 pow2_binary64
Counts
4 → 158
Calls
4 calls:
15.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
28.0ms
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
26.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
17.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
95.0ms
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
92.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
51.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

simplify104.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049423970
149423970

prune203.0ms

Filtered
111 candidates to 170 candidates (-53.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1646170
Fresh011
Picked101
Done000
Total1657172

Merged error: 0.0b

Counts
172 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2))
0.1b
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha)))
0.1b
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha)))
0.3b
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha))) (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
210×*-un-lft-identity_binary64
113×times-frac_binary64
96×add-sqr-sqrt_binary64
84×distribute-lft-out_binary64
83×associate-*l*_binary64
82×sqrt-prod_binary64
64×add-cube-cbrt_binary64
58×sqrt-div_binary64
53×frac-times_binary64
52×add-exp-log_binary64 add-cbrt-cube_binary64
47×pow1_binary64
33×associate-*r/_binary64
32×flip3-+_binary64 flip-+_binary64
25×cbrt-unprod_binary64 prod-exp_binary64
19×pow-prod-down_binary64 associate-*l/_binary64
15×associate-*r*_binary64
12×unswap-sqr_binary64
9×cbrt-undiv_binary64 div-exp_binary64
7×associate-/l*_binary64
6×associate-/r/_binary64
5×associate-/r*_binary64
4×add-log-exp_binary64 pow-prod-up_binary64 pow-sqr_binary64
3×div-inv_binary64 *-commutative_binary64
2×associate-/l/_binary64 pow-plus_binary64
1×swap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 pow2_binary64
Counts
4 → 286
Calls
4 calls:
11.0ms
(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2))
22.0ms
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha)))
22.0ms
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha)))
40.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha))) (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2))
155.0ms
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha)))
150.0ms
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha)))
81.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha))) (*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (+.f64 1 alpha))))

simplify110.0ms

Algorithm
egg-herbie
Counts
298 → 298
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
057348241

prune383.0ms

Filtered
147 candidates to 298 candidates (-102.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2980298
Fresh066
Picked011
Done000
Total2987305

Merged error: 0.0b

Counts
305 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.1b
(*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
6.7b
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
9.4b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity_binary64
80×add-exp-log_binary64
52×add-cbrt-cube_binary64
42×associate-*r*_binary64
38×prod-exp_binary64
37×distribute-lft-out_binary64
28×add-sqr-sqrt_binary64
26×flip3-+_binary64 flip-+_binary64
24×times-frac_binary64
23×frac-times_binary64
22×cbrt-unprod_binary64 add-cube-cbrt_binary64
20×div-exp_binary64
18×pow1_binary64 associate-/r/_binary64
17×associate-*l/_binary64
12×cbrt-undiv_binary64
11×swap-sqr_binary64
10×associate-*r/_binary64 associate-*l*_binary64
5×pow-prod-down_binary64
4×add-log-exp_binary64 1-exp_binary64 rec-exp_binary64 associate-/l*_binary64
3×unswap-sqr_binary64 div-inv_binary64 *-commutative_binary64
2×associate-/l/_binary64
1×associate-/r*_binary64 pow-prod-up_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 pow-plus_binary64 clear-num_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-sqr_binary64 pow2_binary64
Counts
4 → 190
Calls
4 calls:
15.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
32.0ms
(*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
23.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
17.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
97.0ms
(*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
86.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
51.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

simplify119.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049705058
149705058

prune207.0ms

Filtered
122 candidates to 202 candidates (-65.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2011202
Fresh055
Picked011
Done011
Total2018209

Merged error: 0b

Counts
209 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

6.7b
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4)) (+.f64 1 alpha))
9.4b
(/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4))
9.4b
(/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4))
9.4b
(/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity_binary64
196×times-frac_binary64
154×unpow-prod-down_binary64
127×add-sqr-sqrt_binary64
114×add-cube-cbrt_binary64
109×distribute-lft-out_binary64
96×sqrt-prod_binary64
52×associate-*l*_binary64
36×associate-/r*_binary64
29×add-exp-log_binary64
20×sqr-pow_binary64
15×add-cbrt-cube_binary64
12×associate-/l*_binary64 div-exp_binary64
6×associate-/l/_binary64 pow1_binary64
5×flip3-+_binary64 unswap-sqr_binary64 flip-+_binary64
4×pow-to-exp_binary64 add-log-exp_binary64 associate-*r*_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-inv_binary64 pow-exp_binary64
3×clear-num_binary64 frac-2neg_binary64
2×cbrt-unprod_binary64 associate-*r/_binary64 frac-times_binary64
1×pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 323
Calls
4 calls:
24.0ms
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4)) (+.f64 1 alpha))
14.0ms
(/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4))
14.0ms
(/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4))
16.0ms
(/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4))

series233.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4)) (+.f64 1 alpha))
49.0ms
(/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4))
45.0ms
(/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4))
53.0ms
(/.f64 (+.f64 beta 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) 4))

simplify112.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050608558

prune840.0ms

Filtered
168 candidates to 335 candidates (-99.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3350335
Fresh055
Picked011
Done022
Total3358343

Merged error: 0b

Counts
343 → 8

regimes75.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02757
12757

end0.0ms

sample749.0ms

Algorithm
intervals
Results
474.0ms8000×body80valid
131.0ms8000×pre80true

Profiling

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