Details

Time bar (total: 5.1s)

sample86.0ms

Algorithm
intervals
Results
29.0ms92×body1280valid
19.0ms81×body640valid
14.0ms290×body80valid
7.0ms51×body320valid
2.0ms22×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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)

simplify38.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0271408
11085363
25001351

prune146.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New63871
Fresh000
Picked011
Done000
Total63972

Merged error: 0b

Counts
72 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))

rewrite32.0ms

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:
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
22.0ms
(/ y (sin y))
29.0ms
(/ 1 (/ y (sin y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06281345
130201171
250021048

prune306.0ms

Filtered
193 candidates to 121 candidates (62.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1921193
Fresh167
Picked011
Done011
Total1939202

Merged error: 0b

Counts
202 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)
10.0ms
(* (/ (cosh x) y) (sin y))

series131.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (cosh x) y)
71.0ms
(* (/ (cosh x) y) (sin y))

simplify33.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0292401
11003354
25001337

prune131.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New68270
Fresh246
Picked011
Done022
Total70979

Merged error: 0b

Counts
79 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
22×cosh-def
20×frac-times
14×associate-*r/ associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 90
Calls
4 calls:
6.0ms
(* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y))))
4.0ms
(cbrt (* (cosh x) (/ (sin y) y)))
4.0ms
(cbrt (* (cosh x) (/ (sin y) y)))
4.0ms
(cbrt (* (cosh x) (/ (sin y) y)))

series649.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y))))
159.0ms
(cbrt (* (cosh x) (/ (sin y) y)))
156.0ms
(cbrt (* (cosh x) (/ (sin y) y)))
152.0ms
(cbrt (* (cosh x) (/ (sin y) y)))

simplify128.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
03061025
1940941
24360856
35001856

prune258.0ms

Filtered
102 candidates to 82 candidates (80.4%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1020102
Fresh055
Picked011
Done033
Total1029111

Merged error: 0b

Counts
111 → 9

regimes150.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s3008×body1280valid
519.0ms2455×body640valid
424.0ms8523×body80valid
190.0ms1298×body320valid
65.0ms622×body160valid