Details

Time bar (total: 4.6s)

sample109.0ms

Algorithm
halfpoints

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54107
610177
720747
850017

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
29.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms
(+ (exp x) (exp (- x)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
24.0ms
(+ (exp x) (exp (- x)))

simplify166.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0277461
11018404
24757402
35001402

prune142.0ms

Filtered
53 candidates to 40 candidates (75.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cos y) (+ (exp (* -1 x)) (exp x)))
0.0b
(+ (exp (* -1 x)) (exp x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
14.0ms
(* (cos y) (+ (exp (* -1 x)) (exp x)))
4.0ms
(+ (exp (* -1 x)) (exp x))

series68.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (cos y) (+ (exp (* -1 x)) (exp x)))
21.0ms
(+ (exp (* -1 x)) (exp x))

simplify100.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0186310
1701273
23345266
35001266

prune103.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp (* -1 x)) (exp x))
0.0b
(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
0.0b
(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
0.0b
(pow (+ (exp (* -1 x)) (exp x)) 3)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
60×cbrt-prod
57×add-sqr-sqrt
56×times-frac
55×associate-*l*
41×add-cube-cbrt
21×unpow-prod-down cube-prod
11×distribute-lft-out
10×add-exp-log
9×add-cbrt-cube
7×pow1
6×add-log-exp unswap-sqr sqr-pow
5×cube-mult unpow3
4×cube-div
3×pow-unpow flip3-+ associate-*r* flip-+
2×cbrt-div prod-exp cbrt-unprod
1×cbrt-undiv +-commutative pow-to-exp pow-pow pow1/3 div-exp pow-prod-down associate-*l/ pow-exp sum-log *-commutative rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 142
Calls
4 calls:
4.0ms
(+ (exp (* -1 x)) (exp x))
45.0ms
(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
7.0ms
(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
7.0ms
(pow (+ (exp (* -1 x)) (exp x)) 3)

series144.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (exp (* -1 x)) (exp x))
59.0ms
(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
20.0ms
(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
45.0ms
(pow (+ (exp (* -1 x)) (exp x)) 3)

simplify62.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04721398
117891287
250011275

prune380.0ms

Filtered
154 candidates to 96 candidates (62.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))) (cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))))
0.3b
(cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))
0.3b
(cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))
0.3b
(cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*l/
7×cbrt-prod cbrt-div
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
8.0ms
(* (cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))) (cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))))
11.0ms
(cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))
12.0ms
(cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))
11.0ms
(cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))) (cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))))
137.0ms
(cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))
142.0ms
(cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))
144.0ms
(cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))

simplify155.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
02181168
1905989
24574880
35002868

prune297.0ms

Filtered
76 candidates to 60 candidates (78.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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
0157
1157

end0.0ms

sample1.9s

Algorithm
halfpoints