Details

Time bar (total: 4.0s)

sample78.0ms

Algorithm
intervals
Results
36.0ms110×body1280valid
14.0ms72×body640valid
8.0ms264×body80overflowed
8.0ms36×body320valid
2.0ms23×body160valid
1.0ms15×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0159
1249
2329
3449
4599
51749
611539
750019

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.2b

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))))
5.9b
(- (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)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (exp x) (exp (neg x)))
73.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
35.0ms
(- (exp x) (exp (neg x)))

simplify247.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0285936
1951868
24961857
35001857

prune157.0ms

Filtered
82 candidates to 59 candidates (72.0%)
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)

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(tanh x)

simplify81.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09248
120645
261945
3320345
4500245

prune18.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12113
Fresh112
Picked011
Done000
Total13316

Merged error: 0b

Counts
16 → 3

localize13.0ms

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))

series258.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
112.0ms
(+ x (* 2/15 (pow x 5)))
52.0ms
(* 2/15 (pow x 5))
35.0ms
(* 1/3 (pow x 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0314425
11376398
25001393

prune145.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done011
Total93396

Merged error: 0b

Counts
96 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(tanh x)
0.0b
(pow (tanh x) 3)
36.1b
(cbrt (pow (tanh x) 3))

rewrite8.0ms

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)
3.0ms
(pow (tanh x) 3)
3.0ms
(cbrt (pow (tanh x) 3))

series262.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(tanh x)
114.0ms
(pow (tanh x) 3)
76.0ms
(cbrt (pow (tanh x) 3))

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0244267
1845242
25001236

prune80.0ms

Filtered
69 candidates to 40 candidates (58.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done022
Total69372

Merged error: 0b

Counts
72 → 3

regimes12.0ms

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

sample2.2s

Algorithm
intervals
Results
1.1s3333×body1280valid
483.0ms2404×body640valid
247.0ms7588×body80overflowed
161.0ms1252×body320valid
47.0ms593×body160valid
17.0ms418×body80valid

Profiling

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