Details

Time bar (total: 10.2s)

analyze1.8s

Algorithm
search
Search
TrueOtherFalseIter
0%49.9%50.1%0
0%49.9%50.1%1
0%49.9%50.1%2
0%49.9%50.1%3
0%49.9%50.1%4
0%49.9%50.1%5
0%49.9%50.1%6
0%49.9%50.1%7
0%49.9%50.1%8
0.4%49.5%50.1%9
0.4%49.3%50.3%10
0.6%48.9%50.5%11
1.1%48.1%50.9%12
1.5%47.3%51.2%13
1.7%46.9%51.5%14

sample221.0ms

Algorithm
intervals
Results
107.0ms91×body2560valid
58.0ms100×body1280valid
12.0ms30×body1280overflowed
11.0ms31×body640valid
7.0ms323×pre80true
3.0msbody2560overflowed
3.0ms12×body640overflowed
2.0ms10×body320valid
1.0ms18×body80valid
1.0msbody160valid
1.0msbody320overflowed
1.0ms10×body80overflowed
1.0msbody160overflowed

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
0598337

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: 59.1b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
3.5b
(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.9b
(-.f64 (exp.f64 (*.f64 b eps)) 1)
6.3b
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64
10×add-log-exp_binary64 difference-of-squares_binary64
flip3--_binary64 flip--_binary64
associate-*r*_binary64 associate-*l*_binary64
pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sub-neg_binary64 difference-of-sqr-1_binary64 distribute-lft-out--_binary64
insert-posit16 frac-times_binary64
diff-log_binary64
associate-*r/_binary64 associate-*l/_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 85
Calls
4 calls:
14.0ms
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
5.0ms
(-.f64 (exp.f64 (*.f64 a eps)) 1)
5.0ms
(-.f64 (exp.f64 (*.f64 b eps)) 1)
6.0ms
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

series213.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
51.0ms
(-.f64 (exp.f64 (*.f64 a eps)) 1)
52.0ms
(-.f64 (exp.f64 (*.f64 b eps)) 1)
56.0ms
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0669
1669
0669
1669
013
113
0929
1929
0929
1929
013
113
0929
1929
0929
1929
013
113
0509
1509
0509
1509
013
113

simplify123.0ms

Counts
97 → 97
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
053601781

prune115.0ms

Filtered
72 candidates to 97 candidates (-34.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New90797
Fresh000
Picked101
Done000
Total91798

Merged error: 58.8b

Counts
98 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

3.5b
(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.9b
(log.f64 (exp.f64 (+.f64 -1 (exp.f64 (*.f64 b eps)))))
3.9b
(+.f64 -1 (exp.f64 (*.f64 b eps)))
6.3b
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64
14×add-sqr-sqrt_binary64
10×add-log-exp_binary64
add-cube-cbrt_binary64
pow1_binary64 log-pow_binary64
log-prod_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 insert-posit16 exp-prod_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 distribute-lft-out_binary64 difference-of-sqr-1_binary64 distribute-lft-out--_binary64 flip--_binary64
flip3-+_binary64 rem-log-exp_binary64 exp-sum_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 63
Calls
4 calls:
5.0ms
(-.f64 (exp.f64 (*.f64 a eps)) 1)
8.0ms
(log.f64 (exp.f64 (+.f64 -1 (exp.f64 (*.f64 b eps)))))
5.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
6.0ms
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

series209.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(-.f64 (exp.f64 (*.f64 a eps)) 1)
52.0ms
(log.f64 (exp.f64 (+.f64 -1 (exp.f64 (*.f64 b eps)))))
53.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
53.0ms
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0669
1669
0669
1669
013
113
0869
1869
0869
1869
013
113
01059
11059
01059
11059
013
113
0929
1929
0929
1929
013
113

simplify112.0ms

Counts
75 → 75
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
04961967
14961967

prune81.0ms

Filtered
53 candidates to 75 candidates (-41.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New74175
Fresh066
Picked101
Done000
Total75782

Merged error: 58.8b

Counts
82 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

3.9b
(log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (exp.f64 (*.f64 b eps))))))
3.9b
(+.f64 -1 (exp.f64 (*.f64 b eps)))
3.9b
(+.f64 -1 (exp.f64 (*.f64 b eps)))
6.3b
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
10×add-log-exp_binary64
log-prod_binary64 add-cube-cbrt_binary64 log-pow_binary64
pow1_binary64
add-exp-log_binary64 sqrt-pow1_binary64
add-cbrt-cube_binary64 insert-posit16 sqrt-prod_binary64 exp-prod_binary64
distribute-lft-out_binary64
flip3-+_binary64 difference-of-squares_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
sub-neg_binary64 pow1/2_binary64 flip3--_binary64 diff-log_binary64 rem-log-exp_binary64 difference-of-sqr-1_binary64 exp-sum_binary64 distribute-lft-out--_binary64 flip--_binary64
Counts
4 → 65
Calls
4 calls:
7.0ms
(log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (exp.f64 (*.f64 b eps))))))
5.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
5.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
6.0ms
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

series212.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (exp.f64 (*.f64 b eps))))))
51.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
51.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
55.0ms
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0669
1669
0669
1669
013
113
0869
1869
0869
1869
013
113
0869
1869
0869
1869
013
113
01179
11179
01179
11179
013
113

simplify118.0ms

Counts
77 → 77
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
050381086

prune113.0ms

Filtered
55 candidates to 77 candidates (-40.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New76177
Fresh066
Picked101
Done000
Total77784

Merged error: 58.8b

Counts
84 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b
(+.f64 -1 (exp.f64 (*.f64 b eps)))
3.9b
(+.f64 -1 (exp.f64 (*.f64 b eps)))
3.9b
(+.f64 -1 (exp.f64 (*.f64 b eps)))
6.3b
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64
12×add-log-exp_binary64
add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 insert-posit16
flip3-+_binary64 distribute-lft-out_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
difference-of-squares_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 difference-of-sqr-1_binary64 distribute-lft-out--_binary64 flip--_binary64
Counts
4 → 55
Calls
4 calls:
5.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
5.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
5.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
6.0ms
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

series211.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
52.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
54.0ms
(+.f64 -1 (exp.f64 (*.f64 b eps)))
53.0ms
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0669
1669
0669
1669
013
113
0869
1869
0869
1869
013
113
0869
1869
0869
1869
013
113
0869
1869
0869
1869
013
113

simplify117.0ms

Counts
67 → 67
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
05110845

prune90.0ms

Filtered
49 candidates to 67 candidates (-36.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New66167
Fresh066
Picked101
Done000
Total67774

Merged error: 58.8b

Counts
74 → 7

regimes82.0ms

Accuracy

0% (0.4b remaining)

Error of 60.4b against oracle of 60.0b and baseline of 60.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03993
13993

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.7s2628×body2560valid
1.9s3365×body1280valid
355.0ms1079×body640valid
267.0ms649×body1280overflowed
203.0ms9704×pre80true
100.0ms159×body2560overflowed
100.0ms363×body640overflowed
83.0ms367×body320valid
41.0ms202×body320overflowed
30.0ms443×body80valid
17.0ms118×body160valid
16.0ms234×body80overflowed
12.0ms93×body160overflowed
5.0msbody2560invalid

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