Details

Time bar (total: 8.0s)

analyze133.0ms

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
25%74.9%0.1%5
25%68.7%6.3%6
25%53.1%22%7
25%46.8%28.2%8
25%33.6%41.5%9
28.1%18%54%10
31.6%12.1%56.3%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14

sample28.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify94.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
0516143

prune3.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
0.6b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1_binary64 add-exp-log_binary64
14×add-cbrt-cube_binary64
13×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
10×associate-*r*_binary64
8×add-cube-cbrt_binary64
6×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
4×associate-*r/_binary64 insert-posit16
3×pow-unpow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unpow-prod-down_binary64
2×flip3-+_binary64 sub-neg_binary64 associate-*l*_binary64 unswap-sqr_binary64 difference-of-squares_binary64 flip-+_binary64 associate-+r+_binary64 *-commutative_binary64
1×pow-to-exp_binary64 flip3--_binary64 distribute-lft-out_binary64 unpow2_binary64 pow-pow_binary64 sqr-pow_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 pow-exp_binary64 sum-log_binary64
Counts
4 → 85
Calls
4 calls:
11.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
11.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
7.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
11.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))

series1.1s

Counts
4 → 12
Calls
4 calls:
349.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
313.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
225.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
179.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0489297
1489297
0489297
1489297
013
113
0708391
1708391
0708391
1708391
013
113
0688543
1688543
0688543
1688543
0497012
1497012
01046939
11046939
01046939
11046939
013
113

simplify102.0ms

Counts
97 → 97
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049561630
149561630

prune128.0ms

Filtered
68 candidates to 97 candidates (-42.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New92597
Fresh000
Picked011
Done000
Total92698

Merged error: 0.1b

Counts
98 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(*.f64 (*.f64 b b) (+.f64 3 a))
10.0b
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
10.0b
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
10.0b
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 cbrt-prod_binary64
8×add-cube-cbrt_binary64
6×cbrt-div_binary64
4×flip3-+_binary64 add-log-exp_binary64 associate-*r*_binary64 insert-posit16 flip-+_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 pow1/3_binary64 prod-exp_binary64
2×associate-*r/_binary64
1×distribute-lft-out_binary64 distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 67
Calls
4 calls:
11.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
10.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))

series843.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
222.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
219.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
223.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02272092
12272092
02272092
12272092
0556014
02272092
12272092
02272092
12272092
0556014
02272092
12272092
02272092
12272092
0556014
0489297
1489297
0489297
1489297
013
113

simplify89.0ms

Counts
79 → 79
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049963033
149963033

prune302.0ms

Filtered
66 candidates to 79 candidates (-19.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New73679
Fresh224
Picked011
Done011
Total751085

Merged error: 0.1b

Counts
85 → 10

localize36.0ms

Local error

Found 4 expressions with local error:

9.5b
(sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.5b
(sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
10.0b
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
10.0b
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×pow1_binary64 sqrt-prod_binary64 cbrt-prod_binary64
4×cbrt-div_binary64 flip3-+_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 insert-posit16 flip-+_binary64 sqrt-div_binary64
2×pow1/2_binary64 pow1/3_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
Counts
4 → 60
Calls
4 calls:
9.0ms
(sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.0ms
(sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
528.0ms
(sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
529.0ms
(sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
216.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
228.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
02272092
12272092
02272092
12272092
0556014
02272092
12272092
02272092
12272092
0556014
011861577
111861577
011861577
111861577
0485814
1485814
011861577
111861577
011861577
111861577
0485814
1485814

simplify88.0ms

Counts
72 → 72
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049883560
149883560

prune373.0ms

Filtered
62 candidates to 72 candidates (-16.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New69372
Fresh077
Picked101
Done022
Total701282

Merged error: 0.0b

Counts
82 → 12

localize45.0ms

Local error

Found 4 expressions with local error:

9.5b
(sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
10.0b
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
10.0b
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
10.0b
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64 cbrt-prod_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×cbrt-div_binary64
5×pow1_binary64
4×flip3-+_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 insert-posit16 flip-+_binary64
3×pow1/3_binary64 sqrt-prod_binary64
2×sqrt-div_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
Counts
4 → 58
Calls
4 calls:
9.0ms
(sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
9.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
532.0ms
(sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
216.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
218.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
218.0ms
(cbrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))))
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
02272092
12272092
02272092
12272092
0556014
02272092
12272092
02272092
12272092
0556014
02272092
12272092
02272092
12272092
0556014
011861577
111861577
011861577
111861577
0485814
1485814

simplify84.0ms

Counts
70 → 70
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049883600
149883600

prune613.0ms

Filtered
61 candidates to 70 candidates (-14.8%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New67370
Fresh189
Picked011
Done022
Total681482

Merged error: 0.0b

Counts
82 → 14

regimes416.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04743
14743

end0.0ms

sample660.0ms

Algorithm
intervals
Results
511.0ms8000×body80valid
0.0ms3×body80invalid

Profiling

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