Details

Time bar (total: 3.2s)

sample37.0ms

Algorithm
intervals
Results
12.0ms173×body80valid
8.0ms28×body1280valid
6.0ms29×body640valid
2.0ms17×body320valid
1.0ms9×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

localize6.0ms

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))
3.0ms
(/ (sin y) y)

series83.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify33.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune146.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (sin y) y) x)
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-*l*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* 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 pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (/ (sin y) y) x)
3.0ms
(/ (sin y) y)

series68.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (/ (sin y) y) x)
25.0ms
(/ (sin y) y)

simplify149.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0222328
1874295
24435295
35003295

prune137.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:
12.0ms
(* x (* (sin y) (/ 1 y)))
9.0ms
(* (sin y) (/ 1 y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* x (* (sin y) (/ 1 y)))
25.0ms
(* (sin y) (/ 1 y))

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0287355
11254286
25002269

prune123.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
21.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
1.0ms
(cbrt (/ (sin y) y))
1.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))

series574.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
138.0ms
(cbrt (/ (sin y) y))
137.0ms
(cbrt (/ (sin y) y))
130.0ms
(cbrt (/ (sin y) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03021455
110211402
250011328

prune473.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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

sample974.0ms

Algorithm
intervals
Results
276.0ms987×body1280valid
252.0ms5201×body80valid
188.0ms973×body640valid
69.0ms506×body320valid
33.0ms333×body160valid