Details

Time bar (total: 2.9s)

analyze15.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14

sample60.0ms

Algorithm
intervals
Results
32.0ms103×body1280valid
16.0ms87×body640valid
4.0ms33×body320valid
2.0ms20×body160valid
0.0ms13×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
0485822
1485822

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.3b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.3b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity_binary64
30×add-sqr-sqrt_binary64 times-frac_binary64
16×add-cube-cbrt_binary64
distribute-lft-out_binary64 cosh-undef_binary64
add-log-exp_binary64 sinh-undef_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/l*_binary64
associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
flip3-+_binary64 associate-/l/_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64 flip-+_binary64
sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 tanh-undef_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 86
Calls
3 calls:
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
75.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
26.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
049072340
149072340

prune58.0ms

Filtered
68 candidates to 95 candidates (-39.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New93295
Fresh000
Picked101
Done000
Total94296

Merged error: 0b

Counts
96 → 2

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 tanh-def-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64
Counts
1 → 10
Calls
1 calls:
1.0ms
(tanh.f64 x)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(tanh.f64 x)

simplify62.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05372124

prune7.0ms

Filtered
11 candidates to 13 candidates (-18.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done000
Total13215

Merged error: 0b

Counts
15 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 (pow.f64 x 5) 2/15))
0.0b
(-.f64 (+.f64 x (*.f64 (pow.f64 x 5) 2/15)) (*.f64 1/3 (pow.f64 x 3)))
0.1b
(*.f64 (pow.f64 x 5) 2/15)
0.2b
(*.f64 1/3 (pow.f64 x 3))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
15×associate-*r*_binary64
14×add-exp-log_binary64
11×*-un-lft-identity_binary64 add-log-exp_binary64 add-cube-cbrt_binary64
10×associate-*l*_binary64
add-cbrt-cube_binary64 unpow-prod-down_binary64
unswap-sqr_binary64
prod-exp_binary64
pow1_binary64 sqr-pow_binary64 cube-prod_binary64
pow-to-exp_binary64 diff-log_binary64 cbrt-unprod_binary64 pow-exp_binary64 sum-log_binary64 *-commutative_binary64
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 (pow.f64 x 5) 2/15))
6.0ms
(-.f64 (+.f64 x (*.f64 (pow.f64 x 5) 2/15)) (*.f64 1/3 (pow.f64 x 3)))
5.0ms
(*.f64 (pow.f64 x 5) 2/15)
6.0ms
(*.f64 1/3 (pow.f64 x 3))

series172.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+.f64 x (*.f64 (pow.f64 x 5) 2/15))
29.0ms
(-.f64 (+.f64 x (*.f64 (pow.f64 x 5) 2/15)) (*.f64 1/3 (pow.f64 x 3)))
33.0ms
(*.f64 (pow.f64 x 5) 2/15)
26.0ms
(*.f64 1/3 (pow.f64 x 3))

simplify80.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049941199
149941199

prune85.0ms

Filtered
61 candidates to 92 candidates (-50.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done011
Total92294

Merged error: 0b

Counts
94 → 2

regimes6.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s3325×body1280valid
498.0ms2450×body640valid
148.0ms1174×body320valid
50.0ms632×body160valid
17.0ms419×body80valid

Profiling

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