Details

Time bar (total: 7.1s)

sample113.0ms

Algorithm
halfpoints

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54107
610177
720747
850017

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
16×add-sqr-sqrt associate-*l*
13×times-frac
11×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out add-log-exp
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 47
Calls
2 calls:
4.0ms
(+ (exp x) (exp (- x)))
10.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp x) (exp (- x)))
63.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify162.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0277461
11018404
24757402
35001402

prune135.0ms

Filtered
53 candidates to 40 candidates (75.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New49453
Fresh000
Picked011
Done000
Total49554

Merged error: 0.0b

Counts
54 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
153×sqrt-prod
134×*-un-lft-identity
126×times-frac
93×add-sqr-sqrt
92×add-cube-cbrt
46×associate-*l*
29×add-exp-log add-cbrt-cube
21×distribute-lft-out
14×associate-/l*
12×associate-/r*
10×pow1 prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×sqrt-div
4×associate-/l/ add-log-exp
3×flip3-+ pow-prod-down associate-*l/ flip-+ div-inv
2×sqrt-undiv frac-2neg clear-num
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ associate-*r* *-commutative
Counts
4 → 228
Calls
4 calls:
5.0ms
(sqrt (+ (exp x) (exp (- x))))
9.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
9.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
28.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))

series446.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(sqrt (+ (exp x) (exp (- x))))
127.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
121.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
150.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05413612
122353070
250012911

prune537.0ms

Filtered
240 candidates to 127 candidates (52.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2391240
Fresh123
Picked101
Done011
Total2414245

Merged error: 0b

Counts
245 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt 2.0)))
0.0b
(* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
0.2b
(* (/ (cbrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
0.2b
(* (/ (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt 2.0))) (* (/ (cbrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
181×sqrt-prod
140×add-exp-log
117×associate-*l*
116×*-un-lft-identity
111×cbrt-prod
110×add-cbrt-cube
108×times-frac
106×add-sqr-sqrt
84×add-cube-cbrt
70×prod-exp cbrt-unprod
36×cbrt-undiv div-exp
25×pow1
24×cbrt-div sqrt-div
15×distribute-lft-out
14×frac-times swap-sqr associate-*l/
12×flip3-+ associate-*r* flip-+
11×pow-prod-down
10×associate-*r/
9×associate-/r* unswap-sqr
8×associate-/l/
6×pow1/3
4×add-log-exp
3×*-commutative div-inv
2×pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/l*
Counts
4 → 304
Calls
4 calls:
17.0ms
(/ (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt 2.0)))
16.0ms
(* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
32.0ms
(* (/ (cbrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
49.0ms
(* (/ (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt 2.0))) (* (/ (cbrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
241.0ms
(/ (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt 2.0)))
274.0ms
(* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))
354.0ms
(* (/ (cbrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
149.0ms
(* (/ (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt 2.0))) (* (/ (cbrt (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))))

simplify83.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011038383
150016953

prune948.0ms

Filtered
316 candidates to 172 candidates (54.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3160316
Fresh022
Picked011
Done011
Total3164320

Merged error: 0b

Counts
320 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.3b
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
0.5b
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
20×add-sqr-sqrt
16×associate-*l*
15×add-exp-log add-cube-cbrt add-cbrt-cube
13×times-frac
9×pow1
8×cbrt-prod
6×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out
3×pow-unpow associate-*r* associate-*l/ pow-exp rem-cube-cbrt
2×cbrt-undiv cube-div cube-mult unpow-prod-down pow-pow unpow3 cube-prod div-exp pow-prod-down unswap-sqr sqr-pow
1×+-commutative pow-to-exp cbrt-div flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ div-inv
Counts
4 → 90
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
10.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
10.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
2.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

series226.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (exp x) (exp (- x)))
57.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
83.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
61.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0383858
11701826
25001823

prune247.0ms

Filtered
102 candidates to 73 candidates (71.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done022
Total1024106

Merged error: 0b

Counts
106 → 4

regimes45.0ms

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
0127
1127

end0.0ms

sample2.5s

Algorithm
halfpoints