Details

Time bar (total: 5.8s)

sample86.0ms

Algorithm
intervals
Results
36.0ms119×body1280valid
13.0ms71×body640valid
12.0ms280×body80valid
5.0ms39×body320valid
1.0ms16×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:
17.0ms
(* (cosh x) (/ (sin y) y))
9.0ms
(/ (sin y) y)

series109.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (cosh x) (/ (sin y) y))
28.0ms
(/ (sin y) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0271408
11085363
25001351

prune184.0ms

Pruning

7 alts after pruning (6 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))

rewrite64.0ms

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:
38.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
11.0ms
(/ 1 (/ y (sin y)))
6.0ms
(/ y (sin y))

series130.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
31.0ms
(/ 1 (/ y (sin y)))
25.0ms
(/ y (sin y))

simplify99.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06281345
130201171
250021048

prune439.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
5×associate-*r/
4×div-exp pow-prod-down
3×cosh-def un-div-inv unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp 1-exp *-commutative log1p-expm1-u add-log-exp
1×associate-*l/ div-inv
Counts
2 → 67
Calls
2 calls:
34.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
23.0ms
(* (sin y) (/ 1 y))

series108.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
31.0ms
(* (sin y) (/ 1 y))

simplify57.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0341428
11459344
25001315

prune175.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
Calls
4 calls:
3.0ms
(cbrt (/ y (sin y)))
3.0ms
(cbrt (/ y (sin y)))
3.0ms
(cbrt (/ y (sin y)))
37.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (/ y (sin y)))
163.0ms
(cbrt (/ y (sin y)))
168.0ms
(cbrt (/ y (sin y)))
214.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
02931453
110151402
250021340

prune631.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.4s

Algorithm
intervals
Results
925.0ms2949×body1280valid
477.0ms2459×body640valid
379.0ms8502×body80valid
155.0ms1200×body320valid
66.0ms630×body160valid