Details

Time bar (total: 4.9s)

sample86.0ms

Algorithm
intervals
Results
32.0ms103×body1280valid
15.0ms78×body640valid
13.0ms282×body80valid
9.0ms51×body320valid
1.0ms14×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u cosh-def div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 65
Calls
2 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series99.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (cosh x) (/ (sin y) y))
25.0ms
(/ (sin y) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0271408
11085363
25001351

prune139.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New65671
Fresh000
Picked011
Done000
Total65772

Merged error: 0.0b

Counts
72 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 184
Calls
3 calls:
25.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
25.0ms
(/ y (sin y))
28.0ms
(/ 1 (/ y (sin y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06281345
130201171
250021048

prune313.0ms

Filtered
193 candidates to 122 candidates (63.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1885193
Fresh325
Picked011
Done011
Total1919200

Merged error: 0b

Counts
200 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) y)
0.3b
(* (/ (cosh x) y) (sin y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×cosh-def frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 64
Calls
2 calls:
3.0ms
(/ (cosh x) y)
6.0ms
(* (/ (cosh x) y) (sin y))

series128.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (cosh x) y)
74.0ms
(* (/ (cosh x) y) (sin y))

simplify33.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0292401
11003354
25001337

prune132.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh066
Picked011
Done022
Total70979

Merged error: 0b

Counts
79 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
4.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series466.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt y)
109.0ms
(cbrt (sin y))
93.0ms
(cbrt (sin y))
94.0ms
(cbrt (sin y))

simplify57.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
092244
1196226
2487218
31673218
45001218

prune172.0ms

Filtered
64 candidates to 53 candidates (82.8%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New64064
Fresh055
Picked011
Done033
Total64973

Merged error: 0b

Counts
73 → 9

regimes215.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.0s3006×body1280valid
515.0ms2403×body640valid
431.0ms8570×body80valid
204.0ms1309×body320valid
68.0ms661×body160valid

Profiling

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