Details

Time bar (total: 2.8s)

analyze15.0ms

Algorithm
search

sample65.0ms

Algorithm
intervals
Results
36.0ms110×body1280valid
15.0ms76×body640valid
5.0ms35×body320valid
2.0ms23×body160valid
1.0ms12×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 57.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
0.8b
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.7b
(- (exp x) (exp (neg x)))

rewrite22.0ms

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))))
5.0ms
(- (exp x) (exp (neg x)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (exp x) (exp (neg x)))
17.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms
(- (exp x) (exp (neg x)))

simplify251.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0285936
1951868
24961857
35001857

prune86.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh000
Picked101
Done000
Total81283

Merged error: 0b

Counts
83 → 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)

series15.0ms

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

simplify85.0ms

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: 0b

Counts
15 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
unpow-prod-down add-cbrt-cube
unswap-sqr
associate-*l* prod-exp
pow1 cube-prod sqr-pow
pow-to-exp diff-log pow-exp sum-log *-commutative cbrt-unprod
+-commutative cube-mult sub-neg flip3-- flip3-+ unpow3 associate--l+ flip-- flip-+
Counts
4 → 81
Calls
4 calls:
5.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
3.0ms
(+ x (* 2/15 (pow x 5)))
5.0ms
(* 2/15 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
11.0ms
(+ x (* 2/15 (pow x 5)))
5.0ms
(* 2/15 (pow x 5))
4.0ms
(* 1/3 (pow x 3))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0314425
11376398
25001393

prune126.0ms

Filtered
59 candidates to 93 candidates (-57.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done011
Total93295

Merged error: 0b

Counts
95 → 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

analyze15.0ms

Algorithm
search

sample1.9s

Algorithm
intervals
Results
1.1s3379×body1280valid
470.0ms2360×body640valid
155.0ms1185×body320valid
51.0ms633×body160valid
19.0ms443×body80valid

Profiling

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