Details

Time bar (total: 2.2s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample18.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
0498229
1498229

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.1b
(*.f64 3 (*.f64 v v))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
26×associate-*l*_binary64
23×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
20×sqrt-prod_binary64
18×frac-times_binary64 sqrt-div_binary64
17×pow1_binary64
15×flip3--_binary64 flip--_binary64
12×associate-*r*_binary64
10×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
9×associate-*l/_binary64
7×pow-prod-down_binary64 unswap-sqr_binary64
4×add-log-exp_binary64
3×*-commutative_binary64
2×sub-neg_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
1×pow1/2_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64
Counts
4 → 127
Calls
4 calls:
15.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
6.0ms
(*.f64 3 (*.f64 v v))

series171.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
50.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
27.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
22.0ms
(*.f64 3 (*.f64 v v))

simplify73.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
052393600

prune166.0ms

Filtered
105 candidates to 139 candidates (-32.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1372139
Fresh000
Picked011
Done000
Total1373140

Merged error: 0b

Counts
140 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3)))
0.0b
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3))
0.0b
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3)
0.1b
(*.f64 3 (*.f64 v v))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt_binary64
54×cbrt-prod_binary64
40×sqrt-prod_binary64
34×*-un-lft-identity_binary64 add-cube-cbrt_binary64
32×times-frac_binary64
25×associate-*l*_binary64
24×unpow-prod-down_binary64 cube-prod_binary64
22×associate-*r*_binary64 unswap-sqr_binary64
15×add-exp-log_binary64
13×pow1_binary64 add-cbrt-cube_binary64
8×cube-div_binary64 sqrt-div_binary64
6×cbrt-div_binary64 sqr-pow_binary64
5×cbrt-unprod_binary64 prod-exp_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 flip3--_binary64 flip--_binary64
3×pow-unpow_binary64 pow-pow_binary64 unpow3_binary64 cube-mult_binary64
2×associate-*r/_binary64 frac-times_binary64 *-commutative_binary64
1×pow-to-exp_binary64 pow1/2_binary64 rem-cbrt-cube_binary64 sqrt-pow2_binary64 cbrt-undiv_binary64 pow1/3_binary64 sqrt-pow1_binary64 rem-cube-cbrt_binary64 div-inv_binary64 div-exp_binary64 pow-exp_binary64 associate-*l/_binary64
Counts
4 → 164
Calls
4 calls:
23.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3)))
5.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3))
5.0ms
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3)
6.0ms
(*.f64 3 (*.f64 v v))

series157.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3)))
30.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3))
44.0ms
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) 3)
22.0ms
(*.f64 3 (*.f64 v v))

simplify95.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050843985

prune146.0ms

Filtered
96 candidates to 176 candidates (-83.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done011
Total1763179

Merged error: 0b

Counts
179 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.1b
(*.f64 3 (*.f64 v v))
1.0b
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-div_binary64
58×frac-times_binary64
34×sqrt-prod_binary64
31×associate-*l/_binary64
30×associate-*r/_binary64
29×flip3--_binary64 associate-*l*_binary64 flip--_binary64
27×pow1_binary64
24×add-sqr-sqrt_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
22×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
18×times-frac_binary64
16×pow-prod-down_binary64
12×cbrt-unprod_binary64 prod-exp_binary64
7×associate-*r*_binary64
4×add-log-exp_binary64 pow1/2_binary64 sqrt-pow1_binary64
3×*-commutative_binary64
2×sub-neg_binary64 sqrt-unprod_binary64 difference-of-squares_binary64
1×distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 div-inv_binary64
Counts
4 → 148
Calls
4 calls:
24.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
6.0ms
(*.f64 3 (*.f64 v v))
19.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

series167.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
24.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
18.0ms
(*.f64 3 (*.f64 v v))
58.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

simplify111.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049774868
149774868

prune225.0ms

Filtered
120 candidates to 160 candidates (-33.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh000
Picked011
Done022
Total1603163

Merged error: 0b

Counts
163 → 3

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05734
15734

end0.0ms

sample498.0ms

Algorithm
intervals
Results
405.0ms8000×body80valid
0.0ms2×body80nan

Profiling

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