Details

Time bar (total: 5.2s)

analyze258.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample35.0ms

Algorithm
intervals
Results
9.0ms100×body256valid
8.0ms284×pre128true
7.0ms156×body128valid
3.0ms28×body128nan

simplify263.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (256.0ms)

IterNodesCost
0183424
1183424

prune4.0ms

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: 45.2b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
39.0b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
5×pow1_binary64
4×flip3--_binary64 flip--_binary64
3×distribute-lft-out--_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64 sqrt-div_binary64
1×associate-/r*_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 70
Calls
4 calls:
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

series544.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
64.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
220.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
138.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

simplify69.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050081963

prune79.0ms

Filtered
62 candidates to 82 candidates (-32.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New79382
Fresh000
Picked011
Done000
Total79483

Merged error: 0.2b

Counts
83 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.1b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
0.2b
(/.f64 (/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
0.3b
(/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log_binary64 add-cbrt-cube_binary64
22×times-frac_binary64
20×*-un-lft-identity_binary64
17×cbrt-undiv_binary64 div-exp_binary64
13×cbrt-unprod_binary64 prod-exp_binary64
11×associate-/l*_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
8×add-log-exp_binary64
6×associate-/r/_binary64
5×associate-/r*_binary64 distribute-lft-out_binary64
4×flip3-+_binary64 pow1_binary64 div-inv_binary64 flip-+_binary64
2×clear-num_binary64 frac-2neg_binary64
1×associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
4 → 98
Calls
4 calls:
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
15.0ms
(/.f64 (/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
13.0ms
(/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))

series933.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
141.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
316.0ms
(/.f64 (/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
401.0ms
(/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051553003

prune123.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1046110
Fresh202
Picked011
Done101
Total1077114

Merged error: 0b

Counts
114 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))
0.1b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
0.3b
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (/.f64 2 (*.f64 c -4)))
0.3b
(/.f64 1 (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (/.f64 2 (*.f64 c -4))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log_binary64
27×add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
12×prod-exp_binary64
11×add-sqr-sqrt_binary64
10×div-exp_binary64
9×pow1_binary64 add-cube-cbrt_binary64
8×add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64
7×associate-*r*_binary64
6×times-frac_binary64
5×flip3-+_binary64 associate-/r/_binary64 flip-+_binary64
4×associate-*l*_binary64 rec-exp_binary64 frac-times_binary64 associate-*l/_binary64
3×associate-/l*_binary64
2×pow-prod-down_binary64 distribute-lft-out_binary64 associate-*r/_binary64 div-inv_binary64 pow-flip_binary64
1×associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 unswap-sqr_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 92
Calls
4 calls:
4.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
14.0ms
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (/.f64 2 (*.f64 c -4)))
14.0ms
(/.f64 1 (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (/.f64 2 (*.f64 c -4))))

series587.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))
121.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
144.0ms
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (/.f64 2 (*.f64 c -4)))
260.0ms
(/.f64 1 (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (/.f64 2 (*.f64 c -4))))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050182467

prune102.0ms

Filtered
74 candidates to 104 candidates (-40.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh055
Picked011
Done011
Total1047111

Merged error: 0b

Counts
111 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))
0.1b
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2))
0.1b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
0.4b
(/.f64 (*.f64 (*.f64 a c) -4) (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log_binary64 add-cbrt-cube_binary64
21×cbrt-unprod_binary64 prod-exp_binary64
9×*-un-lft-identity_binary64 pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
8×add-log-exp_binary64
5×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×associate-*l*_binary64 associate-*l/_binary64
3×pow-prod-down_binary64 flip3-+_binary64 flip-+_binary64
2×distribute-lft-out_binary64 associate-/r/_binary64
1×associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-*r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 77
Calls
4 calls:
4.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))
11.0ms
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2))
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
15.0ms
(/.f64 (*.f64 (*.f64 a c) -4) (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)))

series699.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))
206.0ms
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2))
128.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
298.0ms
(/.f64 (*.f64 (*.f64 a c) -4) (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))) (*.f64 a 2)))

simplify71.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049622266
149622266

prune69.0ms

Filtered
56 candidates to 89 candidates (-58.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh044
Picked011
Done022
Total89796

Merged error: 0b

Counts
96 → 7

regimes57.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06633
16633

end0.0ms

sample983.0ms

Algorithm
intervals
Results
267.0ms2978×body256valid
252.0ms8935×pre128true
227.0ms5019×body128valid
41.0ms935×body128nan
0.0ms3×body512valid

Profiling

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