Details

Time bar (total: 4.0s)

sample34.0ms

Algorithm
intervals
Results
8.0ms28×body1280valid
8.0ms197×body80valid
5.0ms30×body640valid
2.0ms20×body320valid
1.0ms8×body160valid

simplify10.0ms

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)

rewrite20.0ms

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:
8.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
71.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune213.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
0.4b
(/ 1 (/ z (* x (/ (sin y) y))))
1.5b
(/ z (* x (/ (sin y) y)))

rewrite33.0ms

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:
9.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
11.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
5.0ms
(/ z (* x (/ (sin y) y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
73.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
101.0ms
(/ z (* x (/ (sin y) y)))

simplify71.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05081006
12791859
25002818

prune304.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.4b
(/ x (/ z (/ (sin y) y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
5.0ms
(/ z (/ (sin y) y))
3.0ms
(/ (sin y) y)
17.0ms
(/ x (/ z (/ (sin y) y)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ z (/ (sin y) y))
25.0ms
(/ (sin y) y)
81.0ms
(/ x (/ z (/ (sin y) y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
011102950
150012830

prune864.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
3.0b
(* (/ x z) (/ (sin y) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 77
Calls
2 calls:
3.0ms
(/ (sin y) y)
15.0ms
(* (/ x z) (/ (sin y) y))

series105.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (sin y) y)
80.0ms
(* (/ x z) (/ (sin y) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0370490
11709435
25001435

prune202.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

79.1% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch85.0ms

Steps
ItersRangePoint
9
9.42413906705472e+166
4.7403349141338714e+174
3.828568004607636e+167
9
-1.5441955118259315e-27
-1.5787481178162737e-32
-3.5372630576773575e-28

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02113
12113

end0.0ms

sample1.0s

Algorithm
intervals
Results
270.0ms993×body1280valid
243.0ms5900×body80valid
188.0ms1025×body640valid
68.0ms545×body320valid
26.0ms292×body160valid