Details

Time bar (total: 3.2s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify212.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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 (- x)))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series63.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (exp x) (exp (- x)))
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify117.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0191411
1633377
23009375
35002374

prune111.0ms

Filtered
51 candidates to 39 candidates (76.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
98×sqrt-prod
90×add-sqr-sqrt times-frac
62×add-cube-cbrt
29×swap-sqr
27×distribute-lft-out
21×associate-*r* associate-*l*
19×pow1
12×associate-/r/
10×add-exp-log add-cbrt-cube
9×unswap-sqr
8×sqrt-pow1 pow1/2 associate-/r*
7×flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr
2×cbrt-undiv frac-2neg div-exp clear-num
1×+-commutative pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 186
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
58.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (exp x) (exp (- x)))
40.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
97.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))

simplify67.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
03831978
118351833
250011804

prune403.0ms

Filtered
198 candidates to 116 candidates (58.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
48×times-frac
40×add-sqr-sqrt add-cube-cbrt
16×associate-/r* distribute-lft-out
12×add-exp-log add-cbrt-cube associate-/l*
8×associate-/r/
4×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
4 → 132
Calls
4 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series160.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify76.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01631244
15491156
221721152
350011152

prune469.0ms

Filtered
144 candidates to 108 candidates (75.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

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)))))
0.5b
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

rewrite75.0ms

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
8×add-log-exp
4×pow1 cbrt-undiv div-exp
2×+-commutative frac-2neg clear-num sum-log
1×associate-/l/
Counts
4 → 309
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
5.0ms
(+ (exp x) (exp (- x)))
35.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
11.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (exp x) (exp (- x)))
22.0ms
(+ (exp x) (exp (- x)))
43.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
89.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
321 → 321
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
07396227
126935571
250015417

prune454.0ms

Filtered
321 candidates to 137 candidates (42.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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
01530
11530

end0.0ms

sample275.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid