Details

Time bar (total: 3.1s)

sample29.0ms

Algorithm
intervals
Results
7.0ms28×body1280valid
6.0ms163×body80valid
5.0ms33×body640valid
2.0ms19×body320valid
1.0ms13×body160valid

simplify8.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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

series82.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune132.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 176
Calls
3 calls:
18.0ms
(* x (/ 1 (/ y (sin y))))
4.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series103.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* x (/ 1 (/ y (sin y))))
22.0ms
(/ y (sin y))
26.0ms
(/ 1 (/ y (sin y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05671204
128851046
25001925

prune321.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

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
6×pow1
5×cbrt-unprod
3×associate-*l* add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 477
Calls
3 calls:
47.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
12.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
13.0ms
(/ 1 (sin y))
26.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
486 → 486
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
017764443
150023822

prune825.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (sin y))
7.3b
(/ (* x (sin y)) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 39
Calls
2 calls:
4.0ms
(* x (sin y))
5.0ms
(/ (* x (sin y)) y)

series95.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (sin y))
55.0ms
(/ (* x (sin y)) y)

simplify29.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0154189
1799158
25001158

prune71.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample832.0ms

Algorithm
intervals
Results
234.0ms970×body1280valid
191.0ms5099×body80valid
161.0ms1028×body640valid
63.0ms577×body320valid
25.0ms326×body160valid