Details

Time bar (total: 3.5s)

sample38.0ms

Algorithm
intervals
Results
10.0ms29×body640valid
7.0ms29×body1280valid
7.0ms181×body80valid
2.0ms18×body320valid
1.0ms10×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.5b
(/ (* x (/ (sin y) y)) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
15.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

series138.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
23.0ms
(/ (sin y) y)
63.0ms
(/ (* x (/ (sin y) y)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326487
11643420
25001420

prune204.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.5b
(/ (* 1 (* x (/ (sin y) y))) z)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
26×add-sqr-sqrt
24×add-cbrt-cube
22×times-frac
21×add-cube-cbrt *-un-lft-identity
13×associate-*r*
12×prod-exp
11×div-exp
7×cbrt-undiv cbrt-unprod
6×associate-/r*
5×pow1
4×associate-/l*
3×1-exp associate-*r/ associate-*l* div-inv add-log-exp
2×frac-2neg clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 88
Calls
3 calls:
18.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
29.0ms
(/ (* 1 (* x (/ (sin y) y))) z)

series138.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* x (/ (sin y) y))
29.0ms
(/ (sin y) y)
61.0ms
(/ (* 1 (* x (/ (sin y) y))) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0399540
12108463
25001462

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.6b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
15.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
39.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series140.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
23.0ms
(/ (sin y) y)
65.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify62.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0480667
12656552
25001539

prune227.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
0.6b
(/ 1 (/ z (* x (/ (sin y) y))))
1.3b
(/ z (* x (/ (sin y) y)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*r*
12×associate-/r*
10×prod-exp
9×associate-/l*
8×div-inv
7×pow1
6×associate-*r/ associate-/r/ cbrt-unprod
4×rec-exp 1-exp add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 147
Calls
4 calls:
25.0ms
(* x (/ (sin y) y))
14.0ms
(/ (sin y) y)
21.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
11.0ms
(/ z (* x (/ (sin y) y)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* x (/ (sin y) y))
23.0ms
(/ (sin y) y)
66.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
92.0ms
(/ z (* x (/ (sin y) y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05081006
12791859
25002818

prune279.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes242.0ms

Accuracy

84.3% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.8b

bsearch64.0ms

Steps
ItersRangePoint
6
1.0259030552896696e+108
9.413056898863044e+108
1.3851323961029343e+108
9
-2.31404309910768e+44
-4.3463433571433286e+38
-9.14307071959453e+39

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample1.0s

Algorithm
intervals
Results
257.0ms996×body1280valid
235.0ms5821×body80valid
173.0ms1009×body640valid
79.0ms547×body320valid
25.0ms290×body160valid