Details

Time bar (total: 3.2s)

sample30.0ms

Algorithm
intervals
Results
9.0ms37×body1280valid
6.0ms165×body80valid
5.0ms31×body640valid
1.0ms11×body320valid
1.0ms12×body160valid

simplify7.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (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:
3.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (sin y) y)
55.0ms
(* x (/ (sin y) y))

simplify31.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune125.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
cbrt-undiv prod-exp
pow1 associate-/l*
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod add-log-exp
frac-2neg clear-num associate-/r/
pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 176
Calls
3 calls:
20.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
5.0ms
(/ 1 (/ y (sin y)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* x (/ 1 (/ y (sin y))))
24.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05671204
128851046
25001925

prune292.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
add-exp-log add-cbrt-cube
div-inv associate-/l*
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/r/
Counts
2 → 97
Calls
2 calls:
5.0ms
(/ x (/ y (sin y)))
2.0ms
(/ y (sin y))

series74.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ x (/ y (sin y)))
21.0ms
(/ y (sin y))

simplify43.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0365711
11625675
25002674

prune221.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (sin y))
0.1b
(* x (/ (/ 1 y) (/ 1 (sin y))))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
pow1
cbrt-unprod
associate-*l* add-log-exp
frac-2neg clear-num associate-/r/
pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 477
Calls
3 calls:
2.0ms
(/ 1 (sin y))
59.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
11.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series93.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1 (sin y))
54.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
25.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
486 → 486
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
017764443
150023822

prune783.0ms

Pruning

7 alts after pruning (4 fresh and 3 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

sample847.0ms

Algorithm
intervals
Results
249.0ms962×body1280valid
195.0ms5165×body80valid
162.0ms1025×body640valid
63.0ms562×body320valid
23.0ms286×body160valid