Details

Time bar (total: 5.0s)

analyze322.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14

sample29.0ms

Algorithm
intervals
Results
14.0ms78×body1280valid
4.0ms38×body640valid
2.0ms101×body80valid
2.0ms28×body320valid
1.0ms11×body160valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01111
11111

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.6b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.6b
(-.f64 (exp.f64 x) 1)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64
29×*-un-lft-identity_binary64
21×times-frac_binary64
14×add-cube-cbrt_binary64
10×difference-of-squares_binary64
associate-/r*_binary64
difference-of-sqr-1_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
add-exp-log_binary64 associate-/l*_binary64
pow1_binary64 flip3--_binary64 associate-/r/_binary64 insert-posit16 flip--_binary64
sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 62
Calls
2 calls:
9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms
(-.f64 (exp.f64 x) 1)

series1.9s

Counts
2 → 6
Calls
2 calls:
1.8s
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
83.0ms
(-.f64 (exp.f64 x) 1)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02409
12409
02409
12409
013
113
0285029
0285029
013
113

simplify111.0ms

Counts
68 → 68
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049371090
149371090

prune52.0ms

Filtered
44 candidates to 68 candidates (-54.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New62668
Fresh000
Picked101
Done000
Total63669

Merged error: 37.5b

Counts
69 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.7b
(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
18×times-frac_binary64
13×add-cube-cbrt_binary64
10×difference-of-squares_binary64
associate-/r*_binary64 add-exp-log_binary64
distribute-lft-out--_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-/l*_binary64
flip3--_binary64 associate-/r/_binary64 div-exp_binary64 insert-posit16 flip--_binary64
sub-neg_binary64 diff-log_binary64 1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 div-inv_binary64 pow-flip_binary64
Counts
2 → 61
Calls
2 calls:
8.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
6.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
53.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02139
12139
02139
12139
013
113
06479
16479
06479
16479
013
113

simplify94.0ms

Counts
67 → 67
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05252996

prune39.0ms

Filtered
38 candidates to 67 candidates (-76.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New64367
Fresh055
Picked101
Done000
Total65873

Merged error: 37.5b

Counts
73 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b
(+.f64 (exp.f64 x) 1)
0.3b
(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
3.6b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt_binary64
47×*-un-lft-identity_binary64
38×times-frac_binary64
26×add-cube-cbrt_binary64
24×associate-*l*_binary64
17×add-exp-log_binary64
11×add-cbrt-cube_binary64
add-log-exp_binary64 sinh-undef_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
pow1_binary64
associate-/r*_binary64
associate-*r*_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64 insert-posit16
flip3-+_binary64 flip3--_binary64 unswap-sqr_binary64 associate-/l*_binary64 flip--_binary64 flip-+_binary64
cbrt-unprod_binary64 distribute-lft-out_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 div-inv_binary64 frac-times_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 +-commutative_binary64 pow-flip_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 128
Calls
4 calls:
9.0ms
(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(+.f64 (exp.f64 x) 1)
20.0ms
(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
7.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series544.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
79.0ms
(+.f64 (exp.f64 x) 1)
186.0ms
(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
104.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03459
13459
03459
13459
013
113
08539
18539
08539
18539
013
113
02329
12329
02329
12329
013
113
07779
17779
07779
17779
013
113

simplify153.0ms

Counts
140 → 140
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
049432392
149432392

prune99.0ms

Filtered
94 candidates to 140 candidates (-48.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1391140
Fresh617
Picked101
Done000
Total1462148

Merged error: 0.0b

Counts
148 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1/2 (sinh.f64 x))
0.0b
(sinh.f64 x)
0.0b
(+.f64 (exp.f64 x) 1)
0.3b
(*.f64 (/.f64 1/2 (sinh.f64 x)) (+.f64 (exp.f64 x) 1))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
24×*-un-lft-identity_binary64
20×add-cube-cbrt_binary64
19×times-frac_binary64
14×associate-*l*_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64
associate-*r*_binary64 insert-posit16
flip3-+_binary64 associate-/r*_binary64 sinh-def_binary64 associate-/l*_binary64 flip-+_binary64
cbrt-unprod_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 associate-*r/_binary64 associate-/r/_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 frac-times_binary64
pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 92
Calls
4 calls:
4.0ms
(/.f64 1/2 (sinh.f64 x))
1.0ms
(sinh.f64 x)
5.0ms
(+.f64 (exp.f64 x) 1)
13.0ms
(*.f64 (/.f64 1/2 (sinh.f64 x)) (+.f64 (exp.f64 x) 1))

series351.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/.f64 1/2 (sinh.f64 x))
44.0ms
(sinh.f64 x)
80.0ms
(+.f64 (exp.f64 x) 1)
161.0ms
(*.f64 (/.f64 1/2 (sinh.f64 x)) (+.f64 (exp.f64 x) 1))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07589
17589
07589
17589
013
113
02329
12329
02329
12329
013
113
0189
1189
0189
1189
013
113
04869
14869
04869
14869
013
113

simplify77.0ms

Counts
104 → 104
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
051511239

prune70.0ms

Filtered
80 candidates to 104 candidates (-30.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1022104
Fresh011
Picked101
Done000
Total1033106

Merged error: 0b

Counts
106 → 3

regimes10.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01019
11019

end0.0ms

sample864.0ms

Algorithm
intervals
Results
400.0ms2279×body1280valid
184.0ms1608×body640valid
70.0ms2882×body80valid
63.0ms816×body320valid
21.0ms415×body160valid
0.0msbody1280invalid

Profiling

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