Details

Time bar (total: 3.5s)

sample34.0ms

Algorithm
intervals
Results
9.0ms157×body80valid
8.0ms30×body1280valid
7.0ms38×body640valid
3.0ms22×body320valid
1.0ms9×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))
0.2b
(/ (sin y) y)

rewrite16.0ms

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:
11.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)

series77.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune145.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ 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-*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:
21.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
8.0ms
(/ 1 (/ y (sin y)))

series106.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* x (/ 1 (/ y (sin y))))
26.0ms
(/ y (sin y))
26.0ms
(/ 1 (/ y (sin y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05761226
129061067
25001946

prune335.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 101
Calls
2 calls:
5.0ms
(/ x (/ y (sin y)))
2.0ms
(/ y (sin y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ x (/ y (sin y)))
23.0ms
(/ y (sin y))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0371723
11637687
25001686

prune267.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
19.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series576.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (/ y (sin y)))
133.0ms
(cbrt (/ y (sin y)))
136.0ms
(cbrt (/ y (sin y)))
175.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify45.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02931453
110151402
250021340

prune494.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1123
2123

end0.0ms

sample974.0ms

Algorithm
intervals
Results
274.0ms5161×body80valid
258.0ms956×body1280valid
180.0ms1001×body640valid
75.0ms582×body320valid
36.0ms300×body160valid