Details

Time bar (total: 3.6s)

sample47.0ms

Algorithm
intervals
Results
13.0ms32×body1280valid
10.0ms170×body80valid
8.0ms28×body640valid
3.0ms17×body320valid
1.0msbody160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
3.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (sin y) y)
53.0ms
(* x (/ (sin y) y))

simplify38.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune123.0ms

Filtered
65 candidates to 48 candidates (73.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite23.0ms

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
pow1
cbrt-unprod
associate-*l*
associate-*r/ div-exp pow-prod-down
unswap-sqr
cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
div-inv
Counts
2 → 60
Calls
2 calls:
12.0ms
(* x (* (sin y) (/ 1 y)))
9.0ms
(* (sin y) (/ 1 y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* x (* (sin y) (/ 1 y)))
30.0ms
(* (sin y) (/ 1 y))

simplify38.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0282337
11251269
25001252

prune118.0ms

Filtered
66 candidates to 41 candidates (62.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
17.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
1.0ms
(cbrt (/ (sin y) y))
1.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series553.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
130.0ms
(cbrt (/ (sin y) y))
126.0ms
(cbrt (/ (sin y) y))
132.0ms
(cbrt (/ (sin y) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02961415
19901364
250011289

prune423.0ms

Filtered
156 candidates to 126 candidates (80.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt (/ (sin y) y))
1.0ms
(cbrt (/ (sin y) y))
1.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series691.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (/ (sin y) y))
125.0ms
(cbrt (/ (sin y) y))
308.0ms
(cbrt (/ (sin y) y))
130.0ms
(cbrt (/ (sin y) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0133728
1298700
21004676
35002660

prune340.0ms

Filtered
100 candidates to 84 candidates (84.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes97.0ms

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
063
163

end0.0ms

sample795.0ms

Algorithm
intervals
Results
226.0ms938×body1280valid
184.0ms5266×body80valid
149.0ms962×body640valid
60.0ms512×body320valid
29.0ms322×body160valid