Details

Time bar (total: 2.8s)

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify222.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71505
810405
950025

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: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
distribute-lft-out
add-exp-log associate-/r* add-cbrt-cube add-log-exp
associate-/l*
pow1 flip3-+ associate-/r/ flip-+
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
4.0ms
(+ (exp x) (exp (- x)))
9.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series61.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp x) (exp (- x)))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify123.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0191411
1633377
23009375
35002374

prune98.0ms

Filtered
51 candidates to 39 candidates (76.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New49251
Fresh000
Picked011
Done000
Total49352

Merged error: 0b

Counts
52 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
54×cbrt-prod
48×times-frac
37×add-sqr-sqrt add-cube-cbrt
13×distribute-lft-out
associate-/r/
add-exp-log add-cbrt-cube
pow1 flip3-+ associate-/r* flip-+ div-inv add-log-exp
cbrt-div pow1/3 associate-/l*
cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 114
Calls
4 calls:
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

series657.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
199.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
202.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
210.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify168.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
02581418
18131351
238651329
350021329

prune308.0ms

Filtered
126 candidates to 95 candidates (75.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done011
Total1263129

Merged error: 0b

Counts
129 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
0.4b
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
304×*-un-lft-identity
224×sqrt-prod
188×add-sqr-sqrt add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
add-log-exp
pow1 cbrt-undiv div-exp
+-commutative frac-2neg clear-num sum-log
associate-/l/
Counts
4 → 309
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
5.0ms
(+ (exp x) (exp (- x)))
23.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
7.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series189.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (exp x) (exp (- x)))
23.0ms
(+ (exp x) (exp (- x)))
46.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
96.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify101.0ms

Algorithm
egg-herbie
Counts
321 → 321
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07396227
126935571
250015417

prune409.0ms

Filtered
321 candidates to 137 candidates (42.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3210321
Fresh000
Picked011
Done022
Total3213324

Merged error: 0b

Counts
324 → 3

regimes50.0ms

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
085
185

end0.0ms

sample319.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid

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