Details

Time bar (total: 3.2s)

sample28.0ms

Algorithm
intervals
Results
6.0ms38×body640valid
6.0ms26×body1280valid
5.0ms167×body80valid
2.0ms21×body320valid
0.0ms4×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)

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 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:
8.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* x (/ (sin y) y))
30.0ms
(/ (sin y) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune138.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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 expm1-log1p-u rec-exp 1-exp un-div-inv *-commutative log1p-expm1-u add-log-exp
1×div-inv
Counts
2 → 64
Calls
2 calls:
15.0ms
(* x (* (sin y) (/ 1 y)))
9.0ms
(* (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
70 → 70
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0287355
11261286
25001269

prune125.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series475.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
97.0ms
(cbrt (sin y))
99.0ms
(cbrt (sin y))
102.0ms
(cbrt (sin y))

simplify53.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
092244
1196226
2487218
31673218
45001218

prune208.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (cbrt y))

series549.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (sin y))
104.0ms
(cbrt (sin y))
101.0ms
(cbrt (sin y))
244.0ms
(cbrt (cbrt y))

simplify66.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0108281
1220261
2563253
31981253
45002253

prune242.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.2b 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
0114
1114

end0.0ms

sample801.0ms

Algorithm
intervals
Results
220.0ms864×body1280valid
178.0ms5296×body80valid
170.0ms1010×body640valid
59.0ms549×body320valid
21.0ms281×body160valid