Details

Time bar (total: 7.8s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14

sample17.0ms

Algorithm
intervals
Results
5.0ms48×body640valid
4.0ms149×body80valid
3.0ms43×body320valid
1.0ms16×body160valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
07413
17413

prune2.0ms

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: 12.2b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
1.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity_binary64
39×add-sqr-sqrt_binary64
36×times-frac_binary64
15×add-cube-cbrt_binary64
10×distribute-lft-out--_binary64
difference-of-squares_binary64
distribute-lft-out_binary64
add-exp-log_binary64
div-inv_binary64
associate-/r*_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-/l*_binary64
associate-/r/_binary64 div-exp_binary64 insert-posit16
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 flip--_binary64 pow-flip_binary64 flip-+_binary64 frac-sub_binary64
Counts
2 → 70
Calls
2 calls:
7.0ms
(/.f64 1 (+.f64 x 1))
23.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series3.8s

Counts
2 → 6
Calls
2 calls:
1.1s
(/.f64 1 (+.f64 x 1))
2.7s
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0251209
0251209
013
113
0191049
1191049
0191049
1191049
013
113

simplify104.0ms

Counts
76 → 76
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049391112
149391112

prune47.0ms

Filtered
45 candidates to 76 candidates (-68.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh000
Picked011
Done000
Total75277

Merged error: 0.1b

Counts
77 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 1 x))
0.1b
(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
add-cube-cbrt_binary64
pow1_binary64 associate-*r*_binary64 associate-*r/_binary64
associate-*l*_binary64 associate-/l*_binary64 times-frac_binary64
flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64 insert-posit16 flip-+_binary64
pow-prod-down_binary64 associate-/r*_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 48
Calls
2 calls:
8.0ms
(*.f64 x (+.f64 1 x))
8.0ms
(/.f64 -1 (*.f64 x (+.f64 1 x)))

series423.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(*.f64 x (+.f64 1 x))
378.0ms
(/.f64 -1 (*.f64 x (+.f64 1 x)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
044799
144799
044799
144799
013
113
0949
1949
0949
1949
013
113

simplify112.0ms

Counts
54 → 54
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
05499502

prune34.0ms

Filtered
39 candidates to 54 candidates (-38.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New51354
Fresh000
Picked011
Done101
Total52456

Merged error: 0.0b

Counts
56 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac_binary64
78×*-un-lft-identity_binary64
50×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
14×distribute-lft-out_binary64
13×associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
associate-/r*_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r/_binary64
flip3-+_binary64 associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64 insert-posit16 flip-+_binary64
Counts
1 → 87
Calls
1 calls:
11.0ms
(/.f64 (/.f64 -1 x) (+.f64 1 x))

series2.1s

Counts
1 → 3
Calls
1 calls:
2.1s
(/.f64 (/.f64 -1 x) (+.f64 1 x))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0247389
1247389
0247389
1247389
013
113

simplify94.0ms

Counts
90 → 90
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050371821

prune65.0ms

Filtered
64 candidates to 90 candidates (-40.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh022
Picked011
Done011
Total88694

Merged error: 0b

Counts
94 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 insert-posit16
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 77
Calls
4 calls:
7.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series203.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
44.0ms
(cbrt.f64 x)
45.0ms
(cbrt.f64 x)
45.0ms
(cbrt.f64 x)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0189
1189
0189
1189
013
113
0189
1189
0189
1189
013
113
0189
1189
0189
1189
013
113
05599
15599
05599
15599
013
113

simplify115.0ms

Counts
89 → 89
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
04889549
14889549

prune49.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done022
Total89695

Merged error: 0b

Counts
95 → 6

regimes13.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01010
11010

end0.0ms

sample510.0ms

Algorithm
intervals
Results
183.0ms1878×body640valid
111.0ms4260×body80valid
91.0ms1230×body320valid
33.0ms632×body160valid

Profiling

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