Details

Time bar (total: 2.2s)

analyze1.0ms

Algorithm
search

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify135.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71435
813575
950015

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
4.0ms
(+ (exp x) (exp (neg x)))
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (exp x) (exp (neg x)))
9.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

simplify124.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0192411
1634377
23020374
35001373

prune67.0ms

Filtered
39 candidates to 51 candidates (-30.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh000
Picked101
Done000
Total49352

Merged error: 0b

Counts
52 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
434×sqrt-prod
384×times-frac
362×add-sqr-sqrt
330×*-un-lft-identity
196×add-cube-cbrt
94×swap-sqr
59×distribute-lft-out
48×associate-*r* associate-*l*
25×unswap-sqr
20×add-exp-log add-cbrt-cube
14×associate-/r*
12×sqrt-div associate-/r/ associate-/l*
11×pow1
7×flip3-+ flip-+
6×cbrt-undiv sqrt-undiv div-exp div-inv add-log-exp
4×prod-exp cbrt-unprod
2×frac-2neg clear-num
1×+-commutative pow2 frac-times pow-plus sqrt-unprod associate-*r/ pow-prod-down associate-*l/ sum-log rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 393
Calls
4 calls:
5.0ms
(+ (exp x) (exp (neg x)))
53.0ms
(* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))))
9.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
9.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (exp x) (exp (neg x)))
14.0ms
(* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x))))))
16.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))
15.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (neg x)))))

simplify138.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08397886
143926797
250036724

prune354.0ms

Filtered
168 candidates to 405 candidates (-141.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4050405
Fresh022
Picked011
Done000
Total4053408

Merged error: 0b

Counts
408 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
0.5b
(/ 2.0 (sqrt (+ (exp x) (exp (neg x)))))
0.5b
(/ 1 (sqrt (+ (exp x) (exp (neg x)))))
0.5b
(* (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
106×times-frac
100×*-un-lft-identity
67×sqrt-prod
64×add-cube-cbrt
32×add-exp-log
27×associate-*r* associate-*l*
20×add-cbrt-cube
15×distribute-lft-out unswap-sqr
14×associate-/r*
11×div-exp
8×pow1 sqrt-div prod-exp associate-/r/
6×cbrt-undiv associate-/l* add-log-exp
5×flip3-+ flip-+
4×cbrt-unprod div-inv
3×rec-exp pow-flip 1-exp
2×frac-2neg clear-num
1×+-commutative frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ sum-log *-commutative inv-pow
Counts
4 → 201
Calls
4 calls:
4.0ms
(+ (exp x) (exp (neg x)))
7.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (neg x)))))
8.0ms
(/ 1 (sqrt (+ (exp x) (exp (neg x)))))
28.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (exp x) (exp (neg x)))
13.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (neg x)))))
11.0ms
(/ 1 (sqrt (+ (exp x) (exp (neg x)))))
9.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (neg x))))) (/ 2.0 (sqrt (+ (exp x) (exp (neg x))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06412819
130922473
250022304

prune161.0ms

Filtered
114 candidates to 213 candidates (-86.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2130213
Fresh011
Picked011
Done011
Total2133216

Merged error: 0b

Counts
216 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
17×*-un-lft-identity
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt
9×add-exp-log flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
6×times-frac sqrt-prod associate-/l*
4×pow1 frac-times add-log-exp
3×pow1/3 distribute-lft-out
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
17.0ms
(/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))
4.0ms
(cbrt (+ (exp x) (exp (neg x))))
4.0ms
(cbrt (+ (exp x) (exp (neg x))))
5.0ms
(cbrt (+ (exp x) (exp (neg x))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (neg x)))) (cbrt (+ (exp x) (exp (neg x))))))
23.0ms
(cbrt (+ (exp x) (exp (neg x))))
23.0ms
(cbrt (+ (exp x) (exp (neg x))))
24.0ms
(cbrt (+ (exp x) (exp (neg x))))

simplify134.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
02991094
1956995
24209958
35003957

prune130.0ms

Filtered
72 candidates to 89 candidates (-23.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done022
Total89392

Merged error: 0b

Counts
92 → 3

regimes62.0ms

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
01115
11115

end0.0ms

analyze1.0ms

Algorithm
search

sample332.0ms

Algorithm
intervals
Results
235.0ms8000×body80valid

Profiling

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