Details

Time bar (total: 6.0s)

sample72.0ms

Algorithm
intervals
Results
27.0ms92×body1280valid
14.0ms77×body640valid
12.0ms287×body80valid
4.0ms30×body320valid
2.0ms20×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
718244
850014

prune2.0ms

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 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:
6.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series98.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (cosh x) (/ (sin y) y))
25.0ms
(/ (sin y) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0263392
11063349
25001337

prune164.0ms

Pruning

10 alts after pruning (9 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
(/ y (sin y))
0.1b
(/ 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×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:
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)))

simplify75.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06161321
129861149
250011026

prune367.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*l* add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 479
Calls
3 calls:
45.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
11.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
13.0ms
(/ 1 (sin y))
32.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
018404718
150014083

prune966.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:
3.0ms
(cbrt (/ y (sin y)))
3.0ms
(cbrt (/ y (sin y)))
5.0ms
(cbrt (/ y (sin y)))
12.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series575.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (/ y (sin y)))
132.0ms
(cbrt (/ y (sin y)))
128.0ms
(cbrt (/ y (sin y)))
177.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02851421
19961370
250011309

prune528.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes165.0ms

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

sample2.3s

Algorithm
intervals
Results
913.0ms2967×body1280valid
484.0ms2497×body640valid
375.0ms8518×body80valid
171.0ms1254×body320valid
58.0ms637×body160valid