Details

Time bar (total: 1.7s)

analyze47.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
50%50%0.1%5
62.4%37.5%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify275.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (266.0ms)

IterNodesCost
0311316
1311316

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

8.0b
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
12×times-frac_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×associate-/r*_binary64 distribute-lft-out_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
2×associate-/r/_binary64
1×flip3-+_binary64 add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
1 → 33
Calls
1 calls:
7.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

simplify93.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
05084762

prune33.0ms

Filtered
27 candidates to 36 candidates (-33.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0b

Counts
37 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.8b
(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
7.1b
(*.f64 y (/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64
27×add-sqr-sqrt_binary64
26×times-frac_binary64
20×add-cube-cbrt_binary64
18×associate-*r*_binary64
15×add-exp-log_binary64
9×add-cbrt-cube_binary64
7×distribute-lft-out_binary64
5×pow1_binary64
4×associate-/r*_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
3×associate-*l*_binary64 unswap-sqr_binary64 associate-/l*_binary64
2×flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 div-inv_binary64 flip-+_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-flip_binary64 *-commutative_binary64
Counts
2 → 78
Calls
2 calls:
9.0ms
(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
11.0ms
(*.f64 y (/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2))))

series99.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
59.0ms
(*.f64 y (/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2))))

simplify77.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
051601498

prune53.0ms

Filtered
49 candidates to 84 candidates (-71.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done011
Total84488

Merged error: 0b

Counts
88 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
8.0b
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac_binary64
92×*-un-lft-identity_binary64
60×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
19×associate-/r*_binary64
16×distribute-lft-out_binary64
15×add-exp-log_binary64
9×add-cbrt-cube_binary64
8×div-exp_binary64
7×associate-/l*_binary64
6×div-inv_binary64
4×cbrt-undiv_binary64
3×pow1_binary64
2×associate-/l/_binary64 add-log-exp_binary64 1-exp_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64
1×flip3-+_binary64 associate-/r/_binary64 inv-pow_binary64 pow-flip_binary64 flip-+_binary64
Counts
2 → 121
Calls
2 calls:
9.0ms
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
7.0ms
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
32.0ms
(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

simplify122.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
048993023
148993023

prune84.0ms

Filtered
72 candidates to 127 candidates (-76.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh101
Picked101
Done112
Total1292131

Merged error: 0b

Counts
131 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 x 1/2)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
5×add-exp-log_binary64
3×associate-/r*_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
2×pow1_binary64 associate-/r/_binary64 div-exp_binary64
1×flip3-+_binary64 add-log-exp_binary64 1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 div-inv_binary64 pow-flip_binary64 flip-+_binary64
Counts
1 → 33
Calls
1 calls:
8.0ms
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 x 1/2)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 x 1/2)))

simplify67.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05008708

prune23.0ms

Filtered
22 candidates to 36 candidates (-63.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh000
Picked011
Done011
Total36238

Merged error: 0b

Counts
38 → 2

regimes24.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03416
13416

end0.0ms

sample392.0ms

Algorithm
intervals
Results
262.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body320valid

Profiling

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