Details

Time bar (total: 5.5s)

analyze41.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
62.4%31.2%6.3%6
68.7%21.9%9.5%7
68.7%17.2%14.1%8
71.8%11.7%16.5%9
71.8%9%19.2%10
73.4%6%20.6%11
73.4%4.6%22%12
74.1%3.1%22.8%13
74.1%2.3%23.5%14

sample31.0ms

Algorithm
intervals
Results
14.0ms88×body1280valid
5.0ms41×body640valid
2.0ms87×body80valid
2.0ms24×body320valid
1.0ms16×body160valid
0.0ms8×body80invalid

simplify109.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
049189
149189

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.3b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp.f64 (*.f64 a x))
4.3b
(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp_binary64 add-sqr-sqrt_binary64
5×*-un-lft-identity_binary64
2×pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 insert-posit16
1×sub-neg_binary64 flip3--_binary64 diff-log_binary64 difference-of-sqr-1_binary64 rem-exp-log_binary64 distribute-lft-out--_binary64 flip--_binary64 exp-to-pow_binary64 exp-prod_binary64
Counts
2 → 27
Calls
2 calls:
2.0ms
(exp.f64 (*.f64 a x))
6.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)

series435.0ms

Counts
2 → 6
Calls
2 calls:
208.0ms
(exp.f64 (*.f64 a x))
227.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0631286
1631286
0631286
1631286
0136
1136
0553277
1553277
0553277
1553277
083
183

simplify107.0ms

Counts
33 → 33
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
05253322

prune25.0ms

Filtered
23 candidates to 33 candidates (-43.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New28533
Fresh000
Picked101
Done000
Total29534

Merged error: 29.0b

Counts
34 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp.f64 (*.f64 a x))
0.0b
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
0.0b
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
4.3b
(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64
25×*-un-lft-identity_binary64
20×cbrt-prod_binary64
14×unpow-prod-down_binary64 cube-prod_binary64
10×add-cube-cbrt_binary64 difference-of-squares_binary64
8×add-log-exp_binary64
5×pow1_binary64 difference-of-sqr-1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 distribute-lft-out--_binary64
4×cube-div_binary64 insert-posit16
3×pow-unpow_binary64 flip3--_binary64 flip--_binary64
2×cbrt-div_binary64 sqr-pow_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 sub-neg_binary64 rem-cbrt-cube_binary64 diff-log_binary64 pow1/3_binary64 pow-pow_binary64 rem-exp-log_binary64 rem-cube-cbrt_binary64 exp-to-pow_binary64 pow-exp_binary64 exp-prod_binary64
Counts
4 → 93
Calls
4 calls:
2.0ms
(exp.f64 (*.f64 a x))
7.0ms
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
9.0ms
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
6.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)

series1.0s

Counts
4 → 12
Calls
4 calls:
205.0ms
(exp.f64 (*.f64 a x))
408.0ms
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
192.0ms
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
231.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
0631286
1631286
0631286
1631286
0136
1136
01491724
11491724
01491724
11491724
048403
148403
0838419
1838419
0838419
1838419
046443
146443
0553277
1553277
0553277
1553277
083
183

simplify129.0ms

Counts
105 → 105
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
050081478

prune50.0ms

Filtered
53 candidates to 105 candidates (-98.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1023105
Fresh134
Picked011
Done000
Total1037110

Merged error: 29.0b

Counts
110 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp.f64 (*.f64 a x))
0.0b
(exp.f64 (*.f64 a x))
0.0b
(pow.f64 (exp.f64 (*.f64 a x)) 3)
4.2b
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp_binary64
9×*-un-lft-identity_binary64
7×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
5×pow1_binary64 add-cbrt-cube_binary64
4×add-exp-log_binary64 insert-posit16
3×pow-unpow_binary64 pow-pow_binary64 unpow-prod-down_binary64 cube-prod_binary64 exp-to-pow_binary64 exp-prod_binary64
2×rem-exp-log_binary64
1×pow-to-exp_binary64 flip3-+_binary64 distribute-lft-out_binary64 sqr-pow_binary64 rem-cube-cbrt_binary64 +-commutative_binary64 flip-+_binary64 pow-exp_binary64 unpow3_binary64 sum-log_binary64 cube-mult_binary64
Counts
4 → 61
Calls
4 calls:
2.0ms
(exp.f64 (*.f64 a x))
2.0ms
(exp.f64 (*.f64 a x))
4.0ms
(pow.f64 (exp.f64 (*.f64 a x)) 3)
7.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))

series1.1s

Counts
4 → 12
Calls
4 calls:
206.0ms
(exp.f64 (*.f64 a x))
209.0ms
(exp.f64 (*.f64 a x))
355.0ms
(pow.f64 (exp.f64 (*.f64 a x)) 3)
372.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0816401
1816401
0816401
1816401
052473
0760392
1760392
0760392
1760392
052463
0553277
1553277
0553277
1553277
083
183
0553277
1553277
0553277
1553277
083
183

simplify108.0ms

Counts
73 → 73
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
05109633

prune67.0ms

Filtered
48 candidates to 73 candidates (-52.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh415
Picked101
Done011
Total74680

Merged error: 29.0b

Counts
80 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp.f64 (*.f64 a x))
0.0b
(exp.f64 (*.f64 (*.f64 a x) 3))
0.2b
(*.f64 (*.f64 a x) 3)
4.2b
(+.f64 -1 (exp.f64 (*.f64 (*.f64 a x) 3)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
7×*-un-lft-identity_binary64
5×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×insert-posit16
3×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
2×rem-exp-log_binary64 exp-to-pow_binary64 exp-prod_binary64
1×flip3-+_binary64 distribute-lft-out_binary64 associate-*l*_binary64 +-commutative_binary64 exp-lft-cube_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 55
Calls
4 calls:
2.0ms
(exp.f64 (*.f64 a x))
3.0ms
(exp.f64 (*.f64 (*.f64 a x) 3))
6.0ms
(*.f64 (*.f64 a x) 3)
5.0ms
(+.f64 -1 (exp.f64 (*.f64 (*.f64 a x) 3)))

series940.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(exp.f64 (*.f64 a x))
249.0ms
(exp.f64 (*.f64 (*.f64 a x) 3))
217.0ms
(*.f64 (*.f64 a x) 3)
268.0ms
(+.f64 -1 (exp.f64 (*.f64 (*.f64 a x) 3)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0693380
1693380
0693380
1693380
0136
1136
0591283
1591283
0591283
1591283
013
113
0637371
1637371
0637371
1637371
083
183
0553277
1553277
0553277
1553277
083
183

simplify96.0ms

Counts
67 → 67
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
05138554

prune59.0ms

Filtered
44 candidates to 67 candidates (-52.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New64367
Fresh224
Picked101
Done011
Total67673

Merged error: 28.7b

Counts
73 → 6

regimes75.0ms

Accuracy

0% (0.6b remaining)

Error of 29.9b against oracle of 29.3b and baseline of 29.9b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02556
12556

end0.0ms

sample943.0ms

Algorithm
intervals
Results
473.0ms2684×body1280valid
160.0ms1337×body640valid
74.0ms2785×body80valid
60.0ms775×body320valid
22.0ms419×body160valid
4.0ms137×body80invalid

Profiling

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