Details

Time bar (total: 3.6s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify223.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5415
6665
71655
811235
950015

prune2.0ms

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:
5.0ms
(+ (exp x) (exp (- x)))
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series61.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp x) (exp (- x)))
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify122.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0200433
1666397
23139394
35001393

prune142.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)))))

rewrite15.0ms

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:
1.0ms
(log1p (expm1 (/ 2.0 (+ (exp x) (exp (- x))))))
5.0ms
(+ (exp x) (exp (- x)))
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
1.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(log1p (expm1 (/ 2.0 (+ (exp x) (exp (- x))))))
22.0ms
(+ (exp x) (exp (- x)))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
100.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

simplify141.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0255639
1813578
23783573
35001572

prune221.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))))

rewrite12.0ms

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:
1.0ms
(log1p (cbrt (pow (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) 3)))
7.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
2.0ms
(pow (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) 3)
1.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

series496.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(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)
89.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0387815
11578741
25002734

prune257.0ms

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))))

rewrite33.0ms

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:
9.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series497.0ms

Counts
4 → 12
Calls
4 calls:
376.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify161.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
02671352
18501268
240281257
350011257

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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

sample268.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid