Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0118
1118

prune3.0ms

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
5.0ms
(+ (exp x) (exp (neg x)))
7.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (exp x) (exp (neg x)))
10.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

simplify50.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04981566
14981566

prune67.0ms

Filtered
36 candidates to 51 candidates (-41.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New48351
Fresh000
Picked011
Done000
Total48452

Merged error: 0.0b

Counts
52 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.0b
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
112×sqrt-prod
98×*-un-lft-identity
84×times-frac
68×add-sqr-sqrt
66×add-cube-cbrt
16×distribute-lft-out
14×associate-/r*
12×associate-/l*
8×add-exp-log sqrt-div add-cbrt-cube
6×pow1
4×flip3-+ associate-/r/ flip-+ add-log-exp
2×cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
4 → 172
Calls
4 calls:
10.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
10.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
5.0ms
(sqrt (+ (exp x) (exp (neg x))))
5.0ms
(sqrt (+ (exp x) (exp (neg x))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
17.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049872812
149872812

prune223.0ms

Filtered
100 candidates to 184 candidates (-84.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1831184
Fresh112
Picked011
Done011
Total1844188

Merged error: 0b

Counts
188 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))
0.2b
(sqrt (+ (exp x) (exp (neg x))))
0.5b
(/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
172×sqrt-prod
118×*-un-lft-identity
105×times-frac
82×add-sqr-sqrt
80×add-cube-cbrt
19×distribute-lft-out
16×associate-/r*
13×associate-/l*
8×add-exp-log sqrt-div add-cbrt-cube
6×pow1
4×flip3-+ flip-+ add-log-exp
2×cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 div-exp clear-num associate-/r/ div-inv associate-/l/
Counts
4 → 196
Calls
4 calls:
10.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
5.0ms
(sqrt (+ (exp x) (exp (neg x))))
6.0ms
(sqrt (+ (exp x) (exp (neg x))))
12.0ms
(/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))
7.0ms
(sqrt (+ (exp x) (exp (neg x))))
14.0ms
(/ (sqrt (+ (exp x) (exp (neg x)))) (sqrt (sqrt 2.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051093418

prune325.0ms

Filtered
104 candidates to 208 candidates (-100.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2080208
Fresh011
Picked011
Done022
Total2084212

Merged error: 0b

Counts
212 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))
0.7b
(cbrt (+ (exp x) (exp (neg x))))
0.7b
(cbrt (+ (exp x) (exp (neg x))))
0.7b
(cbrt (+ (exp x) (exp (neg x))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×add-exp-log *-un-lft-identity
12×pow1 cbrt-prod
9×add-sqr-sqrt add-cube-cbrt pow-flip flip3-+ pow1/3 flip-+
8×associate-/r/
7×add-cbrt-cube
4×frac-times div-exp add-log-exp
3×times-frac prod-exp distribute-lft-out associate-/l*
2×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 85
Calls
4 calls:
19.0ms
(/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))
6.0ms
(cbrt (+ (exp x) (exp (neg x))))
6.0ms
(cbrt (+ (exp x) (exp (neg x))))
5.0ms
(cbrt (+ (exp x) (exp (neg x))))

series121.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ 1 (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))
26.0ms
(cbrt (+ (exp x) (exp (neg x))))
25.0ms
(cbrt (+ (exp x) (exp (neg x))))
26.0ms
(cbrt (+ (exp x) (exp (neg x))))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049161047
149161047

prune105.0ms

Filtered
65 candidates to 97 candidates (-49.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done033
Total974101

Merged error: 0b

Counts
101 → 4

regimes108.0ms

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
088
188

end0.0ms

sample386.0ms

Algorithm
intervals
Results
235.0ms8000×body80valid

Profiling

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