Details

Time bar (total: 3.7s)

sample31.0ms

Algorithm
intervals
Results
8.0ms31×body1280valid
7.0ms160×body80valid
4.0ms24×body640valid
4.0ms31×body320valid
1.0ms10×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

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*
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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* 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

prune134.0ms

Filtered
69 candidates to 52 candidates (75.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New61869
Fresh000
Picked101
Done000
Total62870

Merged error: 0.0b

Counts
70 → 8

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)))

rewrite33.0ms

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:
15.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* x (/ 1 (/ y (sin y))))
25.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05761226
129061067
25001946

prune266.0ms

Filtered
191 candidates to 119 candidates (62.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1892191
Fresh527
Picked011
Done000
Total1945199

Merged error: 0b

Counts
199 → 5

localize7.0ms

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)))

rewrite99.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 483
Calls
3 calls:
45.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
12.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series104.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
21.0ms
(/ 1 (sin y))
27.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify90.0ms

Algorithm
egg-herbie
Counts
492 → 492
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
017844470
150013847

prune672.0ms

Filtered
492 candidates to 262 candidates (53.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4920492
Fresh033
Picked011
Done011
Total4925497

Merged error: 0b

Counts
497 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series738.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt x) (cbrt x))
176.0ms
(cbrt x)
182.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify88.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune184.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done022
Total93598

Merged error: 0b

Counts
98 → 5

regimes59.0ms

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

sample886.0ms

Algorithm
intervals
Results
250.0ms928×body1280valid
209.0ms5238×body80valid
162.0ms929×body640valid
76.0ms577×body320valid
33.0ms328×body160valid

Profiling

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