Details

Time bar (total: 2.3s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×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

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

rewrite35.0ms

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:
23.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
11.0ms
(+ (exp x) (exp (- x)))

series57.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
21.0ms
(+ (exp x) (exp (- x)))

simplify121.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0191411
1633377
23009375
35001374

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.5b
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
24×times-frac
19×add-sqr-sqrt add-cube-cbrt
15×sqrt-prod
8×distribute-lft-out
6×associate-/r*
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-+ flip-+ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 60
Calls
2 calls:
11.0ms
(+ (exp x) (exp (- x)))
36.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (exp x) (exp (- x)))
69.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

simplify148.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0222661
1727622
23408607
35001606

prune129.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.5b
(/ (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.5b
(/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
774×sqrt-prod
756×times-frac
573×*-un-lft-identity
371×add-sqr-sqrt add-cube-cbrt
101×distribute-lft-out
44×associate-/l*
18×associate-/r*
12×div-inv
10×add-exp-log add-cbrt-cube
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 associate-/l/
2×frac-2neg flip3-+ clear-num flip-+
1×+-commutative sum-log
Counts
3 → 499
Calls
3 calls:
11.0ms
(+ (exp x) (exp (- x)))
57.0ms
(/ (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
39.0ms
(/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (exp x) (exp (- x)))
77.0ms
(/ (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
112.0ms
(/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0)))

simplify120.0ms

Algorithm
egg-herbie
Counts
508 → 508
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
09689995
137508981
250018967

prune547.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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
01212
11212

end0.0ms

sample290.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid