Details

Time bar (total: 4.3s)

sample78.0ms

Algorithm
intervals
Results
28.0ms96×body1280valid
16.0ms83×body640valid
13.0ms310×body80valid
5.0ms42×body320valid
2.0ms18×body160valid

simplify56.0ms

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: 0.1b

localize10.0ms

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

prune155.0ms

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))

rewrite36.0ms

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))))
6.0ms
(/ 1 (/ y (sin y)))
4.0ms
(/ y (sin y))

series125.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
26.0ms
(/ 1 (/ y (sin y)))
23.0ms
(/ y (sin y))

simplify78.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06281345
130201171
250021048

prune371.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:
8.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
8.0ms
(* (sin y) (/ 1 y))

series98.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
28.0ms
(* (sin y) (/ 1 y))

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0341428
11459344
25001315

prune136.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
44×prod-exp
36×div-exp
34×add-sqr-sqrt add-cbrt-cube
26×*-un-lft-identity times-frac
25×add-cube-cbrt
22×associate-*r*
18×rec-exp 1-exp
12×pow1
10×cbrt-undiv cbrt-unprod
6×associate-*l* associate-/l*
4×expm1-log1p-u associate-*r/ associate-/r* associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp unswap-sqr
3×pow-flip pow-prod-down
2×cosh-def frac-2neg clear-num *-commutative inv-pow
1×frac-times associate-*l/
Counts
4 → 161
Calls
4 calls:
12.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
4.0ms
(/ 1 (sin y))
9.0ms
(/ 1 (* y (/ 1 (sin y))))
8.0ms
(* y (/ 1 (sin y)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
17.0ms
(/ 1 (sin y))
26.0ms
(/ 1 (* y (/ 1 (sin y))))
24.0ms
(* y (/ 1 (sin y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0546940
12442743
25001687

prune246.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
925.0ms3022×body1280valid
477.0ms2517×body640valid
363.0ms8489×body80valid
167.0ms1268×body320valid
62.0ms635×body160valid