Details

Time bar (total: 3.5s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify223.0ms

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

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))))

rewrite17.0ms

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:
6.0ms
(+ (exp x) (exp (- x)))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series67.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (exp x) (exp (- x)))
40.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify127.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0200433
1666397
23139394
35001393

prune137.0ms

Filtered
58 candidates to 46 candidates (79.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.5b
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×times-frac
6×add-exp-log add-cbrt-cube add-log-exp
5×log1p-expm1-u distribute-lft-out
4×pow1 expm1-log1p-u associate-/r*
3×fma-def associate-/l*
2×flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative log1p-udef expm1-log1p frac-2neg log1p-expm1 div-exp clear-num sum-log div-inv expm1-udef
Counts
4 → 74
Calls
4 calls:
0.0ms
(log1p (expm1 (/ 2.0 (+ (exp x) (exp (- x))))))
6.0ms
(+ (exp x) (exp (- x)))
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
0.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(log1p (expm1 (/ 2.0 (+ (exp x) (exp (- x))))))
28.0ms
(+ (exp x) (exp (- x)))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
93.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

simplify150.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0255639
1813578
23783573
35001572

prune217.0ms

Filtered
86 candidates to 64 candidates (74.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (cbrt (pow (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) 3)))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.5b
(pow (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) 3)
0.5b
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
12×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 expm1-log1p-u log1p-expm1-u
4×associate-/r* distribute-lft-out add-log-exp
3×unpow-prod-down pow-unpow cube-prod associate-/l*
2×associate-/r/
1×cbrt-undiv cube-mult pow-to-exp log1p-udef expm1-log1p pow-pow frac-2neg flip3-+ unpow3 log1p-expm1 div-exp pow-exp clear-num flip-+ div-inv expm1-udef rem-cube-cbrt sqr-pow
Counts
4 → 82
Calls
4 calls:
0.0ms
(log1p (cbrt (pow (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) 3)))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
1.0ms
(pow (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) 3)
0.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

series513.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(log1p (cbrt (pow (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) 3)))
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
186.0ms
(pow (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) 3)
95.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0387817
11578741
25001734

prune246.0ms

Filtered
94 candidates to 62 candidates (66.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ 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))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
18×cbrt-prod
15×distribute-lft-out
12×associate-/r*
10×add-exp-log add-cbrt-cube
9×associate-/l*
8×associate-/r/
4×pow1 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 134
Calls
4 calls:
6.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
44.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
44.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify168.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
02671352
18501268
240281257
350011257

prune425.0ms

Filtered
146 candidates to 111 candidates (76.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

sample265.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid