Details

Time bar (total: 4.0s)

sample84.0ms

Algorithm
intervals
Results
31.0ms112×body1280valid
13.0ms67×body640valid
12.0ms285×body80valid
5.0ms37×body320valid
2.0ms24×body160valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
55004
614274
746404
850014

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(* (cos x) (/ (sinh y) y))
0.0b
(sinh y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
4.0ms
(/ (sinh y) y)
7.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series41.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ (sinh y) y)
21.0ms
(* (cos x) (/ (sinh y) y))
9.0ms
(sinh y)

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0324427
11285383
25001381

prune83.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New73477
Fresh000
Picked101
Done000
Total74478

Merged error: 0.0b

Counts
78 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ y (sinh y)))
0.0b
(/ y (sinh y))
0.0b
(* (cos x) (/ 1 (/ y (sinh y))))
0.0b
(sinh y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
9×sinh-def
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 192
Calls
4 calls:
6.0ms
(/ 1 (/ y (sinh y)))
3.0ms
(/ y (sinh y))
16.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
1.0ms
(sinh y)

series58.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ 1 (/ y (sinh y)))
19.0ms
(/ y (sinh y))
19.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
8.0ms
(sinh y)

simplify83.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06991426
134281227
250011082

prune156.0ms

Filtered
131 candidates to 204 candidates (-55.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2040204
Fresh033
Picked011
Done000
Total2044208

Merged error: 0.0b

Counts
208 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos x)) (cbrt (cos x)))
0.3b
(cbrt (cos x))
0.3b
(cbrt (cos x))
0.3b
(cbrt (cos x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))

series82.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
17.0ms
(cbrt (cos x))
18.0ms
(cbrt (cos x))
18.0ms
(cbrt (cos x))

simplify109.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune82.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh022
Picked101
Done011
Total85489

Merged error: 0b

Counts
89 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos x)) (cbrt (cos x)))
0.3b
(cbrt (cos x))
0.3b
(cbrt (cos x))
0.3b
(cbrt (cos x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))

series83.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
18.0ms
(cbrt (cos x))
17.0ms
(cbrt (cos x))
20.0ms
(cbrt (cos x))

simplify110.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune75.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0b

Counts
89 → 4

regimes299.0ms

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
0115
1115

end0.0ms

sample2.4s

Algorithm
intervals
Results
911.0ms3112×body1280valid
439.0ms2452×body640valid
366.0ms8413×body80valid
158.0ms1254×body320valid
59.0ms641×body160valid

Profiling

Loading profile data...