Details

Time bar (total: 9.5s)

analyze266.0ms

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

sample40.0ms

Algorithm
intervals
Results
13.0ms141×body160valid
8.0ms288×pre80true
8.0ms115×body80valid
1.0ms32×body80nan

simplify195.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (180.0ms)

IterNodesCost
0507124

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: 27.8b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 3 a) c)
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
27.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64
4×cbrt-unprod_binary64 prod-exp_binary64 insert-posit16
3×pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 distribute-lft-out--_binary64 flip--_binary64 sqrt-prod_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 77
Calls
4 calls:
9.0ms
(*.f64 (*.f64 3 a) c)
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
10.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series1.1s

Counts
4 → 12
Calls
4 calls:
139.0ms
(*.f64 (*.f64 3 a) c)
230.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
414.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
282.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
078692
178692
078692
178692
02211
12211
0110890
1110890
0110890
1110890
013
113
0676357
1676357
0676357
1676357
013
113
0324227
1324227
0324227
1324227
013
113

simplify118.0ms

Counts
89 → 89
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
050551744

prune79.0ms

Filtered
62 candidates to 89 candidates (-43.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New84589
Fresh000
Picked101
Done000
Total85590

Merged error: 0.4b

Counts
90 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 3 a) c)
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
0.3b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 3 a))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac_binary64
50×*-un-lft-identity_binary64
30×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
21×associate-/l*_binary64
10×distribute-lft-out_binary64
9×pow1_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×add-log-exp_binary64 associate-/r/_binary64
5×associate-/r*_binary64 cbrt-unprod_binary64 prod-exp_binary64
4×div-inv_binary64 insert-posit16
3×pow-prod-down_binary64 flip3-+_binary64 associate-/l/_binary64 associate-*r*_binary64 div-sub_binary64 flip-+_binary64
2×flip3--_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64
1×sub-neg_binary64 diff-log_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 126
Calls
4 calls:
7.0ms
(*.f64 (*.f64 3 a) c)
6.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
16.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
23.0ms
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 3 a))

series2.2s

Counts
4 → 12
Calls
4 calls:
137.0ms
(*.f64 (*.f64 3 a) c)
226.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
766.0ms
(/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
1.1s
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) 0) (*.f64 (*.f64 3 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))) (*.f64 3 a))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03939216
13939216
03939216
13939216
013
113
02970106
12970106
02970106
12970106
013
113
0676357
1676357
0676357
1676357
013
113
0324227
1324227
0324227
1324227
013
113

simplify88.0ms

Counts
138 → 138
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050644195

prune196.0ms

Filtered
98 candidates to 138 candidates (-40.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New12711138
Fresh404
Picked101
Done000
Total13211143

Merged error: 0.0b

Counts
143 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 3 a) c)
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(*.f64 a (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
0.4b
(/.f64 (*.f64 a c) (*.f64 a (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64
9×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
8×cbrt-unprod_binary64 prod-exp_binary64
7×associate-*r*_binary64 add-cube-cbrt_binary64
6×add-log-exp_binary64
4×pow-prod-down_binary64 cbrt-undiv_binary64 associate-*r/_binary64 associate-*l*_binary64 div-exp_binary64 insert-posit16
2×flip3-+_binary64 associate-/r/_binary64 flip-+_binary64 *-commutative_binary64
1×associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 flip--_binary64
Counts
4 → 79
Calls
4 calls:
7.0ms
(*.f64 (*.f64 3 a) c)
6.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
11.0ms
(*.f64 a (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
14.0ms
(/.f64 (*.f64 a c) (*.f64 a (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
140.0ms
(*.f64 (*.f64 3 a) c)
232.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
365.0ms
(*.f64 a (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))))
525.0ms
(/.f64 (*.f64 a c) (*.f64 a (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
021671447
121671447
021671447
121671447
013
113
0995149
1995149
0995149
1995149
013
113
0676357
1676357
0676357
1676357
013
113
0324227
1324227
0324227
1324227
013
113

simplify95.0ms

Counts
91 → 91
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049671538
149671538

prune101.0ms

Filtered
64 candidates to 91 candidates (-42.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New86591
Fresh5510
Picked101
Done000
Total9210102

Merged error: 0b

Counts
102 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3))))))
0.2b
(/.f64 a (/.f64 a (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3))))))))
0.2b
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3)))
0.2b
(/.f64 a (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3)))))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
651×times-frac_binary64
400×*-un-lft-identity_binary64
296×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
81×associate-/r*_binary64
52×distribute-lft-out_binary64
40×associate-/r/_binary64
23×div-inv_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
17×flip3-+_binary64 flip-+_binary64
10×cbrt-undiv_binary64 div-exp_binary64
9×associate-/l*_binary64
6×add-log-exp_binary64
4×pow1_binary64 insert-posit16
3×clear-num_binary64 frac-2neg_binary64
1×sub-neg_binary64 flip3--_binary64 diff-log_binary64 flip--_binary64
Counts
4 → 394
Calls
4 calls:
10.0ms
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3))))))
24.0ms
(/.f64 a (/.f64 a (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3))))))))
6.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3)))
14.0ms
(/.f64 a (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3)))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
584.0ms
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3))))))
225.0ms
(/.f64 a (/.f64 a (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3))))))))
251.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3)))
408.0ms
(/.f64 a (/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 3)))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
042689
142689
042689
142689
013
113
0692357
1692357
0692357
1692357
013
113
09869
19869
09869
19869
013
113
0150396
1150396
0150396
1150396
013
113

simplify210.0ms

Counts
406 → 406
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0544216870

prune580.0ms

Filtered
272 candidates to 406 candidates (-49.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4042406
Fresh279
Picked101
Done000
Total4079416

Merged error: 0b

Counts
416 → 9

regimes92.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
09124
19124

end0.0ms

sample1.1s

Algorithm
intervals
Results
436.0ms4493×body160valid
249.0ms9017×pre80true
171.0ms3507×body80valid
49.0ms1017×body80nan

Profiling

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