Details

Time bar (total: 3.8s)

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

sample33.0ms

Algorithm
intervals
Results
16.0ms91×body1280valid
5.0ms46×body640valid
2.0ms85×body80valid
2.0ms22×body320valid
1.0ms12×body160valid
0.0ms5×body80invalid

simplify105.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
049189
149189

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.4b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp.f64 (*.f64 a x))
2.9b
(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite8.0ms

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))
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)

series101.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(exp.f64 (*.f64 a x))
51.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0929
1929
0929
1929
013
113
0719
1719
0719
1719
013
113

simplify105.0ms

Counts
33 → 33
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
05253322

prune29.0ms

Filtered
22 candidates to 33 candidates (-50.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New26733
Fresh000
Picked101
Done000
Total27734

Merged error: 30.2b

Counts
34 → 7

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)
0.1b
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
2.9b
(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite28.0ms

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)
8.0ms
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
6.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)

series206.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(exp.f64 (*.f64 a x))
55.0ms
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
49.0ms
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
52.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0929
1929
0929
1929
013
113
0389
1389
0389
1389
013
113
01309
11309
01309
11309
013
113
0719
1719
0719
1719
013
113

simplify127.0ms

Counts
105 → 105
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
050081478

prune52.0ms

Filtered
52 candidates to 105 candidates (-101.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1023105
Fresh246
Picked101
Done000
Total1057112

Merged error: 30.2b

Counts
112 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) 1))) 3))
0.0b
(pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3)
0.1b
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) 1))) 3)))
2.8b
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
336×times-frac_binary64
276×*-un-lft-identity_binary64
191×unpow-prod-down_binary64 cube-prod_binary64
174×cbrt-prod_binary64
170×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
55×sqr-pow_binary64 unpow3_binary64 cube-mult_binary64
53×distribute-lft-out_binary64
17×add-exp-log_binary64
14×associate-/l*_binary64
12×associate-/r*_binary64
9×div-exp_binary64
8×cube-div_binary64
7×pow-to-exp_binary64 add-cbrt-cube_binary64 pow-exp_binary64
6×add-log-exp_binary64
5×flip3-+_binary64 pow1_binary64 flip-+_binary64
4×associate-/r/_binary64 insert-posit16
3×pow-unpow_binary64
2×associate-/l/_binary64 div-inv_binary64
1×cbrt-div_binary64 cbrt-undiv_binary64 pow1/3_binary64 pow-pow_binary64 clear-num_binary64 rem-cube-cbrt_binary64 frac-2neg_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 444
Calls
4 calls:
26.0ms
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) 1))) 3))
9.0ms
(pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3)
25.0ms
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) 1))) 3)))
7.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))

series233.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) 1))) 3))
57.0ms
(pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3)
52.0ms
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) 1))) 3)))
59.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01249
11249
01249
11249
013
113
0599
1599
0599
1599
013
113
01609
11609
01609
11609
013
113
02819
12819
02819
12819
013
113

simplify269.0ms

Counts
456 → 456
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
0551027575

prune337.0ms

Filtered
147 candidates to 456 candidates (-210.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4533456
Fresh066
Picked101
Done000
Total4549463

Merged error: 30.2b

Counts
463 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) 1))) 3)))
2.8b
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))
2.8b
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))
2.8b
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
174×cbrt-prod_binary64
168×times-frac_binary64
137×*-un-lft-identity_binary64
90×unpow-prod-down_binary64 cube-prod_binary64
83×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
27×distribute-lft-out_binary64
26×sqr-pow_binary64 unpow3_binary64 cube-mult_binary64
10×add-log-exp_binary64
4×flip3-+_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 insert-posit16 flip-+_binary64
3×+-commutative_binary64 sum-log_binary64
2×associate-/r/_binary64 cube-div_binary64
1×cbrt-div_binary64 pow1/3_binary64 div-inv_binary64
Counts
4 → 223
Calls
4 calls:
25.0ms
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) 1))) 3)))
7.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))
7.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))
8.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))

series226.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 a x)) (+.f64 (exp.f64 (*.f64 a x)) 1))) 3)))
57.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))
56.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))
60.0ms
(+.f64 -1 (pow.f64 (exp.f64 (*.f64 a x)) 3))
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01249
11249
01249
11249
013
113
01249
11249
01249
11249
013
113
01249
11249
01249
11249
013
113
0599
1599
0599
1599
013
113

simplify191.0ms

Counts
235 → 235
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
0500913903

prune449.0ms

Filtered
88 candidates to 235 candidates (-167.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2341235
Fresh088
Picked101
Done000
Total2359244

Merged error: 30.2b

Counts
244 → 9

regimes121.0ms

Accuracy

0% (0.3b remaining)

Error of 29.9b against oracle of 29.6b and baseline of 29.9b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
040179
140179

end0.0ms

sample957.0ms

Algorithm
intervals
Results
482.0ms2716×body1280valid
158.0ms1339×body640valid
76.0ms2775×body80valid
60.0ms732×body320valid
23.0ms438×body160valid
4.0ms146×body80invalid

Profiling

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