Details

Time bar (total: 2.9s)

analyze14.0ms

Algorithm
search

sample99.0ms

Algorithm
intervals
Results
53.0ms107×body1280valid
22.0ms70×body640valid
9.0ms44×body320valid
3.0ms23×body160valid
1.0ms12×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0159
1249
2329
3449
4599
51749
611539
750019

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
1.0b
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
8.6b
(- (exp x) (exp (neg x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
26×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
distribute-lft-out add-log-exp
distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube associate-/l*
associate-/r*
pow1
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub tanh-undef div-exp clear-num sum-log div-inv
Counts
3 → 73
Calls
3 calls:
4.0ms
(+ (exp x) (exp (neg x)))
10.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
4.0ms
(- (exp x) (exp (neg x)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (exp x) (exp (neg x)))
16.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms
(- (exp x) (exp (neg x)))

simplify246.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0285936
1951868
24961857
35001857

prune83.0ms

Filtered
59 candidates to 82 candidates (-39.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh000
Picked101
Done000
Total80383

Merged error: 0b

Counts
83 → 3

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)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(tanh x)

simplify81.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09248
120645
261945
3320345
4500245

prune21.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12113
Fresh112
Picked011
Done000
Total13316

Merged error: 0b

Counts
16 → 3

localize9.0ms

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))

series13.0ms

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

prune101.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh011
Picked011
Done011
Total79382

Merged error: 0b

Counts
82 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(tanh x)
0.0b
(pow (tanh x) 3)
37.7b
(cbrt (pow (tanh x) 3))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cube-div unpow-prod-down cube-prod
pow1 add-exp-log add-cbrt-cube
pow-unpow cbrt-div tanh-def add-log-exp
cube-mult unpow3 sqr-pow
pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 60
Calls
3 calls:
1.0ms
(tanh x)
2.0ms
(pow (tanh x) 3)
3.0ms
(cbrt (pow (tanh x) 3))

series50.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(tanh x)
23.0ms
(pow (tanh x) 3)
13.0ms
(cbrt (pow (tanh x) 3))

simplify30.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0244267
1845242
25001236

prune59.0ms

Filtered
40 candidates to 69 candidates (-72.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done022
Total69372

Merged error: 0b

Counts
72 → 3

regimes26.0ms

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

analyze16.0ms

Algorithm
search

sample1.9s

Algorithm
intervals
Results
1.1s3341×body1280valid
483.0ms2430×body640valid
155.0ms1217×body320valid
49.0ms596×body160valid
17.0ms416×body80valid

Profiling

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