Details

Time bar (total: 3.2s)

sample37.0ms

Algorithm
intervals
Results
12.0ms34×body1280valid
8.0ms165×body80valid
5.0ms32×body640valid
2.0ms13×body320valid
1.0ms12×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

localize5.0ms

Local error

Found 2 expressions with local error:

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

series81.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune138.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ 1 (/ y (sin y)))
0.2b
(/ 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×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:
20.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ 1 (/ y (sin y)))
2.0ms
(/ y (sin y))

series105.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* x (/ 1 (/ y (sin y))))
25.0ms
(/ 1 (/ y (sin y)))
25.0ms
(/ y (sin y))

simplify64.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05761226
129061067
25001946

prune317.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*l*
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-*r* cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 181
Calls
3 calls:
23.0ms
(* (/ 1 (/ y (sin y))) x)
5.0ms
(/ 1 (/ y (sin y)))
2.0ms
(/ y (sin y))

series91.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* (/ 1 (/ y (sin y))) x)
25.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ y (sin y))

simplify64.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05621185
127021026
25003931

prune349.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.7b
(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))

series494.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
100.0ms
(cbrt (sin y))
96.0ms
(cbrt (sin y))
125.0ms
(cbrt (sin y))

simplify52.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
092244
1196226
2487218
31673218
45001218

prune193.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes133.0ms

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
0104
1104

end0.0ms

sample966.0ms

Algorithm
intervals
Results
260.0ms984×body1280valid
254.0ms5128×body80valid
185.0ms1020×body640valid
78.0ms582×body320valid
31.0ms286×body160valid