Details

Time bar (total: 2.8s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify231.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5415
6665
71655
811235
950015

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))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×fma-def associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
5.0ms
(+ (exp x) (exp (- x)))
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series65.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp x) (exp (- x)))
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify124.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0200433
1666397
23139394
35001393

prune107.0ms

Filtered
58 candidates to 46 candidates (79.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New56258
Fresh000
Picked011
Done000
Total56359

Merged error: 0b

Counts
59 → 3

localize9.0ms

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
8×associate-/r/
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u flip3-+ associate-/r* flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 122
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)))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
186.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
193.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
187.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify168.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
02671472
18501404
240281379
350011379

prune316.0ms

Filtered
134 candidates to 103 candidates (76.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh011
Picked011
Done011
Total1343137

Merged error: 0b

Counts
137 → 3

localize9.0ms

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)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
224×sqrt-prod
190×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
8×add-log-exp
6×fma-def
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×+-commutative frac-2neg clear-num sum-log
1×associate-/l/
Counts
4 → 323
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
5.0ms
(+ (exp x) (exp (- x)))
22.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
8.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (exp x) (exp (- x)))
22.0ms
(+ (exp x) (exp (- x)))
42.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
89.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07526286
127425617
250015509

prune418.0ms

Filtered
335 candidates to 151 candidates (45.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3350335
Fresh000
Picked011
Done022
Total3353338

Merged error: 0b

Counts
338 → 3

regimes49.0ms

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

sample323.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid

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