Details

Time bar (total: 2.1s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1

sample40.0ms

Algorithm
intervals
Results
15.0ms54×body1280valid
10.0ms55×body640valid
4.0ms114×body80valid
3.0ms24×body320valid
1.0ms9×body160valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0470110
1470110

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.8b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity_binary64
23×add-sqr-sqrt_binary64
15×times-frac_binary64
12×add-cube-cbrt_binary64
7×add-log-exp_binary64
5×distribute-lft-out_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×associate-/r*_binary64 difference-of-squares_binary64
3×pow1_binary64 associate-/l*_binary64
2×flip3-+_binary64 difference-of-sqr-1_binary64 associate-/r/_binary64 flip-+_binary64
1×sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
3 → 63
Calls
3 calls:
4.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
10.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
12.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series18.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
10.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify69.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04850887
14850887

prune84.0ms

Filtered
49 candidates to 72 candidates (-46.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New70272
Fresh000
Picked101
Done000
Total71273

Merged error: 0b

Counts
73 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
0.1b
(*.f64 2/15 (pow.f64 x 5))
0.1b
(*.f64 1/3 (pow.f64 x 3))
16.6b
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×associate-*r*_binary64
14×add-exp-log_binary64
11×*-un-lft-identity_binary64 add-log-exp_binary64 add-cube-cbrt_binary64
8×add-cbrt-cube_binary64 unpow-prod-down_binary64
7×unswap-sqr_binary64
6×associate-*l*_binary64 prod-exp_binary64
4×pow1_binary64 sqr-pow_binary64 cube-prod_binary64
2×pow-to-exp_binary64 diff-log_binary64 cbrt-unprod_binary64 pow-exp_binary64 sum-log_binary64 *-commutative_binary64
1×flip3-+_binary64 sub-neg_binary64 flip3--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 unpow3_binary64 associate--l+_binary64 cube-mult_binary64
Counts
4 → 80
Calls
4 calls:
3.0ms
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
6.0ms
(*.f64 2/15 (pow.f64 x 5))
7.0ms
(*.f64 1/3 (pow.f64 x 3))
7.0ms
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
5.0ms
(*.f64 2/15 (pow.f64 x 5))
4.0ms
(*.f64 1/3 (pow.f64 x 3))
6.0ms
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))

simplify33.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05739807

prune84.0ms

Filtered
59 candidates to 92 candidates (-55.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done000
Total92294

Merged error: 0b

Counts
94 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.2b
(/.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) E.f64)
2.8b
(log.f64 (/.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) E.f64))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity_binary64
30×times-frac_binary64
28×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×log-prod_binary64
9×add-exp-log_binary64
8×add-cbrt-cube_binary64
7×associate-/r*_binary64
6×add-log-exp_binary64 associate-/l*_binary64
5×pow1_binary64 distribute-lft-out_binary64 div-exp_binary64
3×rem-log-exp_binary64 div-inv_binary64
2×flip3-+_binary64 cbrt-undiv_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 e-exp-1_binary64 flip-+_binary64
1×log-pow_binary64 log-div_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 98
Calls
4 calls:
4.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
10.0ms
(/.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) E.f64)
10.0ms
(log.f64 (/.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) E.f64))

series47.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
14.0ms
(/.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) E.f64)
25.0ms
(log.f64 (/.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) E.f64))

simplify74.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
052161468

prune109.0ms

Filtered
80 candidates to 110 candidates (-37.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done011
Total1102112

Merged error: 0b

Counts
112 → 2

regimes266.0ms

Accuracy

99% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 32.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06338
16338

end0.0ms

sample1.0s

Algorithm
intervals
Results
412.0ms1613×body1280valid
224.0ms1282×body640valid
147.0ms4140×body80valid
80.0ms658×body320valid
24.0ms307×body160valid

Profiling

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