Details

Time bar (total: 2.1s)

analyze2.0ms

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

sample37.0ms

Algorithm
intervals
Results
16.0ms63×body1280valid
6.0ms36×body640valid
4.0ms122×body80valid
2.0ms20×body320valid
1.0ms15×body160valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
0470110
1470110

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
3.5b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite30.0ms

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:
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
9.0ms
(+.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:
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
10.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify68.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04850887
14850887

prune64.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New69372
Fresh000
Picked101
Done000
Total70373

Merged error: 0.0b

Counts
73 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(*.f64 2/15 (pow.f64 x 5))
0.1b
(*.f64 1/3 (pow.f64 x 3))
17.1b
(-.f64 (+.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64
19×associate-*r*_binary64
13×add-exp-log_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×add-log-exp_binary64 unpow-prod-down_binary64
7×add-cbrt-cube_binary64 unswap-sqr_binary64
6×associate-*l*_binary64 prod-exp_binary64
4×sqr-pow_binary64 cube-prod_binary64
3×pow1_binary64
2×pow-to-exp_binary64 diff-log_binary64 cbrt-unprod_binary64 pow-exp_binary64 *-commutative_binary64
1×sub-neg_binary64 flip3--_binary64 flip--_binary64 unpow3_binary64 associate--l+_binary64 sum-log_binary64 cube-mult_binary64
Counts
3 → 69
Calls
3 calls:
6.0ms
(*.f64 2/15 (pow.f64 x 5))
6.0ms
(*.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)))

series16.0ms

Counts
3 → 9
Calls
3 calls:
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)))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05095670

prune49.0ms

Filtered
49 candidates to 78 candidates (-59.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done000
Total78381

Merged error: 0.0b

Counts
81 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 2 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 (*.f64 -2 x))))))
0.0b
(exp.f64 (exp.f64 (*.f64 -2 x)))
0.5b
(*.f64 E.f64 (exp.f64 (exp.f64 (*.f64 -2 x))))
3.5b
(-.f64 (/.f64 2 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 (*.f64 -2 x)))))) 1)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64
18×pow1_binary64 times-frac_binary64
17×add-cube-cbrt_binary64
8×log-pow_binary64 add-cbrt-cube_binary64
7×add-log-exp_binary64 add-exp-log_binary64
5×pow-prod-down_binary64 associate-/r*_binary64
4×difference-of-squares_binary64
3×associate-*r*_binary64 associate-*l*_binary64 associate-/l*_binary64 exp-prod_binary64
2×difference-of-sqr-1_binary64 prod-exp_binary64
1×sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 rem-exp-log_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 e-exp-1_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 83
Calls
4 calls:
6.0ms
(/.f64 2 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 (*.f64 -2 x))))))
2.0ms
(exp.f64 (exp.f64 (*.f64 -2 x)))
6.0ms
(*.f64 E.f64 (exp.f64 (exp.f64 (*.f64 -2 x))))
12.0ms
(-.f64 (/.f64 2 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 (*.f64 -2 x)))))) 1)

series62.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/.f64 2 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 (*.f64 -2 x))))))
7.0ms
(exp.f64 (exp.f64 (*.f64 -2 x)))
6.0ms
(*.f64 E.f64 (exp.f64 (exp.f64 (*.f64 -2 x))))
26.0ms
(-.f64 (/.f64 2 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 (*.f64 -2 x)))))) 1)

simplify50.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049981037
149981037

prune55.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh011
Picked011
Done011
Total95398

Merged error: 0.0b

Counts
98 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.2b
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) (+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))))
3.9b
(+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity_binary64
10×add-log-exp_binary64
9×flip3-+_binary64 add-sqr-sqrt_binary64 flip-+_binary64
6×pow1_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
5×associate-*l*_binary64
4×associate-*r*_binary64 frac-times_binary64
3×+-commutative_binary64 sum-log_binary64
2×associate-*r/_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
4 → 67
Calls
4 calls:
4.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
4.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
25.0ms
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) (+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))))
10.0ms
(+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
2.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
29.0ms
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) (+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))))
12.0ms
(+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))

simplify41.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049751431
149751431

prune85.0ms

Filtered
61 candidates to 79 candidates (-29.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done022
Total79382

Merged error: 0.0b

Counts
82 → 3

regimes230.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 31.0b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08138
18138

end0.0ms

sample1.0s

Algorithm
intervals
Results
447.0ms1786×body1280valid
218.0ms1267×body640valid
134.0ms4015×body80valid
70.0ms620×body320valid
23.0ms312×body160valid

Profiling

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