Details

Time bar (total: 4.9s)

sample81.0ms

Algorithm
intervals
Results
34.0ms111×body1280valid
13.0ms75×body640valid
11.0ms279×body80valid
7.0ms54×body320valid
2.0ms25×body160valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
718244
850014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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 cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
8.0ms
(* (cosh x) (/ (sin y) y))
3.0ms
(/ (sin y) y)

series100.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0263392
11063349
25001337

prune152.0ms

Filtered
67 candidates to 50 candidates (74.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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×associate-*l* cbrt-unprod 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 → 178
Calls
3 calls:
24.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
5.0ms
(/ 1 (/ y (sin y)))
2.0ms
(/ y (sin y))

series123.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
25.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ y (sin y))

simplify79.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06161321
129861149
250011026

prune334.0ms

Filtered
187 candidates to 115 candidates (61.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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 div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×cosh-def frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 60
Calls
2 calls:
3.0ms
(/ (cosh x) y)
9.0ms
(* (/ (cosh x) y) (sin y))

series134.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (cosh x) y)
75.0ms
(* (/ (cosh x) y) (sin y))

simplify34.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0282386
1974341
25001324

prune142.0ms

Filtered
66 candidates to 49 candidates (74.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
19.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))

series587.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
137.0ms
(cbrt (/ y (sin y)))
134.0ms
(cbrt (/ y (sin y)))
138.0ms
(cbrt (/ y (sin y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
02851421
19881370
250011309

prune500.0ms

Filtered
156 candidates to 126 candidates (80.8%)
Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes160.0ms

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

sample2.2s

Algorithm
intervals
Results
895.0ms3030×body1280valid
456.0ms2474×body640valid
346.0ms8497×body80valid
151.0ms1201×body320valid
51.0ms602×body160valid