Details

Time bar (total: 3.1s)

sample28.0ms

Algorithm
intervals
Results
6.0ms24×body1280valid
6.0ms167×body80valid
4.0ms27×body640valid
3.0ms26×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
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite25.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
14.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)

series76.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (/ (sin y) y))
28.0ms
(/ (sin y) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune141.0ms

Pruning

9 alts after pruning (9 fresh and 0 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)))

rewrite58.0ms

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×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u 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 → 182
Calls
3 calls:
34.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
11.0ms
(/ 1 (/ y (sin y)))

series95.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* x (/ 1 (/ y (sin y))))
24.0ms
(/ y (sin y))
23.0ms
(/ 1 (/ y (sin y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05761226
129061067
25001946

prune334.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
44×prod-exp
36×div-exp
34×add-sqr-sqrt add-cbrt-cube
26×*-un-lft-identity times-frac
25×add-cube-cbrt
22×associate-*r*
18×rec-exp 1-exp
12×pow1
10×cbrt-undiv cbrt-unprod
6×associate-*l* associate-/l*
4×expm1-log1p-u associate-*r/ associate-/r* associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp unswap-sqr
3×pow-flip pow-prod-down
2×frac-2neg clear-num *-commutative inv-pow
Counts
4 → 159
Calls
4 calls:
53.0ms
(* x (/ 1 (* y (/ 1 (sin y)))))
6.0ms
(/ 1 (sin y))
19.0ms
(/ 1 (* y (/ 1 (sin y))))
17.0ms
(* y (/ 1 (sin y)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* x (/ 1 (* y (/ 1 (sin y)))))
13.0ms
(/ 1 (sin y))
23.0ms
(/ 1 (* y (/ 1 (sin y))))
24.0ms
(* y (/ 1 (sin y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0494852
12295672
25001623

prune241.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (/ 1 (/ y (sin y))))) (cbrt (* x (/ 1 (/ y (sin y))))))
6.8b
(cbrt (* x (/ 1 (/ y (sin y)))))
6.8b
(cbrt (* x (/ 1 (/ y (sin y)))))
6.8b
(cbrt (* x (/ 1 (/ y (sin y)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
11×pow1 associate-*r/
10×add-sqr-sqrt
9×pow1/3 un-div-inv
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
15.0ms
(* (cbrt (* x (/ 1 (/ y (sin y))))) (cbrt (* x (/ 1 (/ y (sin y))))))
11.0ms
(cbrt (* x (/ 1 (/ y (sin y)))))
11.0ms
(cbrt (* x (/ 1 (/ y (sin y)))))
11.0ms
(cbrt (* x (/ 1 (/ y (sin y)))))

series479.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (* x (/ 1 (/ y (sin y))))) (cbrt (* x (/ 1 (/ y (sin y))))))
109.0ms
(cbrt (* x (/ 1 (/ y (sin y)))))
110.0ms
(cbrt (* x (/ 1 (/ y (sin y)))))
115.0ms
(cbrt (* x (/ 1 (/ y (sin y)))))

simplify36.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0214758
1890673
25001619

prune237.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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

sample836.0ms

Algorithm
intervals
Results
219.0ms927×body1280valid
179.0ms5209×body80valid
144.0ms987×body640valid
63.0ms562×body320valid
27.0ms315×body160valid