Details

Time bar (total: 3.7s)

sample30.0ms

Algorithm
intervals
Results
7.0ms30×body1280valid
6.0ms172×body80valid
4.0ms28×body640valid
2.0ms18×body320valid
1.0ms8×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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 div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
18.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)

series88.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* x (/ (sin y) y))
28.0ms
(/ (sin y) y)

simplify35.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0213320
1988289
25002289

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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*
4×associate-*r/ div-exp pow-prod-down
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv
Counts
2 → 60
Calls
2 calls:
32.0ms
(* x (* (sin y) (/ 1 y)))
17.0ms
(* (sin y) (/ 1 y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* x (* (sin y) (/ 1 y)))
27.0ms
(* (sin y) (/ 1 y))

simplify41.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0282337
11251269
25001252

prune120.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite43.0ms

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:
29.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
3.0ms
(cbrt (/ (sin y) y))

series632.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
144.0ms
(cbrt (/ (sin y) y))
148.0ms
(cbrt (/ (sin y) y))
149.0ms
(cbrt (/ (sin y) y))

simplify47.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02961415
19901364
250011289

prune474.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (sin y))
5.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series518.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
113.0ms
(cbrt (sin y))
110.0ms
(cbrt (sin y))
108.0ms
(cbrt (sin y))

simplify56.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
087222
1186204
2472196
31587196
45002196

prune241.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes123.0ms

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

sample865.0ms

Algorithm
intervals
Results
228.0ms938×body1280valid
193.0ms5227×body80valid
155.0ms999×body640valid
57.0ms540×body320valid
22.0ms296×body160valid