Details

Time bar (total: 3.0s)

sample75.0ms

Algorithm
intervals
Results
37.0ms113×body1280valid
12.0ms59×body640valid
7.0ms225×body80overflowed
5.0ms44×body320valid
2.0ms22×body160valid
1.0ms18×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0159
1249
2329
3449
4599
51749
611539
750019

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.7b
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
7.2b
(- (exp x) (exp (neg x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
25×add-sqr-sqrt
20×times-frac
13×add-cube-cbrt
distribute-lft-out distribute-lft-out-- difference-of-squares
associate-/l*
add-exp-log associate-/r* add-cbrt-cube add-log-exp
pow1 flip3-- associate-/r/ flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub tanh-undef div-exp clear-num flip-+ div-inv
Counts
2 → 61
Calls
2 calls:
10.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms
(- (exp x) (exp (neg x)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
6.0ms
(- (exp x) (exp (neg x)))

simplify100.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0256836
1810780
23280772
35001772

prune68.0ms

Filtered
47 candidates to 67 candidates (-42.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New65267
Fresh000
Picked101
Done000
Total66268

Merged error: 0.0b

Counts
68 → 2

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube tanh-def add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(tanh x)

series18.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(tanh x)

simplify77.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09248
120645
261945
3320345
4500245

prune16.0ms

Filtered
10 candidates to 13 candidates (-30.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
unpow-prod-down add-log-exp
add-cbrt-cube unswap-sqr
associate-*l* prod-exp
cube-prod sqr-pow
pow1
pow-to-exp diff-log pow-exp *-commutative cbrt-unprod
cube-mult sub-neg flip3-- unpow3 associate--l+ sum-log flip--
Counts
3 → 70
Calls
3 calls:
5.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
5.0ms
(* 2/15 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series14.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
5.0ms
(* 2/15 (pow x 5))
4.0ms
(* 1/3 (pow x 3))

simplify43.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0276360
11208332
25001328

prune97.0ms

Filtered
49 candidates to 79 candidates (-61.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done011
Total79281

Merged error: 0.0b

Counts
81 → 2

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s3358×body1280valid
498.0ms2439×body640valid
232.0ms7307×body80overflowed
154.0ms1182×body320valid
49.0ms592×body160valid
18.0ms429×body80valid

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