Details

Time bar (total: 3.2s)

sample28.0ms

Algorithm
intervals
Results
8.0ms33×body1280valid
6.0ms160×body80valid
4.0ms30×body640valid
2.0ms22×body320valid
1.0ms11×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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
(* 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*
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:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune127.0ms

Filtered
65 candidates to 48 candidates (73.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)))
8.0ms
(* (sin y) (/ 1 y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (* (sin y) (/ 1 y)))
25.0ms
(* (sin y) (/ 1 y))

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0282337
11251269
25001252

prune110.0ms

Filtered
66 candidates to 41 candidates (62.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (/ 1 y))
0.4b
(cbrt (* (sin y) (/ 1 y)))
0.4b
(cbrt (* (sin y) (/ 1 y)))
0.4b
(cbrt (* (sin y) (/ 1 y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×add-exp-log *-un-lft-identity associate-*r*
12×add-cube-cbrt
11×times-frac
add-cbrt-cube
pow1 cbrt-div
associate-*r/ prod-exp un-div-inv add-log-exp
cbrt-prod pow1/3 associate-*l* unswap-sqr
div-exp cbrt-unprod
cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
Counts
4 → 69
Calls
4 calls:
11.0ms
(* (sin y) (/ 1 y))
3.0ms
(cbrt (* (sin y) (/ 1 y)))
3.0ms
(cbrt (* (sin y) (/ 1 y)))
3.0ms
(cbrt (* (sin y) (/ 1 y)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (sin y) (/ 1 y))
131.0ms
(cbrt (* (sin y) (/ 1 y)))
312.0ms
(cbrt (* (sin y) (/ 1 y)))
129.0ms
(cbrt (* (sin y) (/ 1 y)))

simplify34.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0249432
1980366
25001332

prune229.0ms

Filtered
81 candidates to 64 candidates (79.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (* (sin y) (/ 1 y)))
0.4b
(cbrt (* (sin y) (/ 1 y)))
0.6b
(cbrt y)
0.7b
(cbrt (sin y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube add-log-exp
associate-*r/ un-div-inv
Counts
4 → 44
Calls
4 calls:
3.0ms
(cbrt (* (sin y) (/ 1 y)))
3.0ms
(cbrt (* (sin y) (/ 1 y)))
0.0ms
(cbrt y)
1.0ms
(cbrt (sin y))

series555.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (* (sin y) (/ 1 y)))
133.0ms
(cbrt (* (sin y) (/ 1 y)))
185.0ms
(cbrt y)
98.0ms
(cbrt (sin y))

simplify49.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0159264
1406238
21388220
35001216

prune186.0ms

Filtered
56 candidates to 47 candidates (83.9%)
Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes120.0ms

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

sample806.0ms

Algorithm
intervals
Results
238.0ms951×body1280valid
177.0ms5210×body80valid
162.0ms981×body640valid
59.0ms543×body320valid
24.0ms315×body160valid