Details

Time bar (total: 4.2s)

sample85.0ms

Algorithm
intervals
Results
34.0ms111×body1280valid
18.0ms89×body640valid
12.0ms285×body80valid
5.0ms42×body320valid
1.0ms17×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh 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 cosh-def div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 65
Calls
2 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series97.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (cosh x) (/ (sin y) y))
25.0ms
(/ (sin y) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0271408
11085363
25001351

prune153.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New63871
Fresh000
Picked011
Done000
Total63972

Merged error: 0.0b

Counts
72 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))

rewrite32.0ms

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×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 184
Calls
3 calls:
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
4.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
25.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06281345
130201171
250021048

prune302.0ms

Filtered
193 candidates to 120 candidates (62.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1912193
Fresh077
Picked101
Done011
Total19210202

Merged error: 0.0b

Counts
202 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (sin y))
0.3b
(* (* (cosh x) (sin y)) (/ 1 y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×associate-*r* add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt *-un-lft-identity
9×pow1 times-frac
7×cbrt-unprod
4×div-exp associate-*l* pow-prod-down associate-*l/
3×cosh-def
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp *-commutative log1p-expm1-u add-log-exp
1×frac-times associate-*r/ un-div-inv div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
4.0ms
(* (cosh x) (sin y))
8.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series138.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (cosh x) (sin y))
75.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify51.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0380448
11782365
25001332

prune112.0ms

Filtered
69 candidates to 42 candidates (60.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh088
Picked011
Done011
Total681179

Merged error: 0b

Counts
79 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
0.1b
(/ 1 (sin y))
0.1b
(/ 1 (* y (/ 1 (sin y))))
0.2b
(* y (/ 1 (sin y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
44×prod-exp
36×div-exp
34×add-sqr-sqrt add-cbrt-cube
26×*-un-lft-identity times-frac
25×add-cube-cbrt
22×associate-*r*
18×rec-exp 1-exp
12×pow1
10×cbrt-undiv cbrt-unprod
6×associate-*l* associate-/l*
4×expm1-log1p-u associate-*r/ associate-/r* associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp unswap-sqr
3×pow-flip pow-prod-down
2×cosh-def frac-2neg clear-num *-commutative inv-pow
1×frac-times associate-*l/
Counts
4 → 161
Calls
4 calls:
11.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
4.0ms
(/ 1 (sin y))
7.0ms
(/ 1 (* y (/ 1 (sin y))))
11.0ms
(* y (/ 1 (sin y)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
17.0ms
(/ 1 (sin y))
24.0ms
(/ 1 (* y (/ 1 (sin y))))
22.0ms
(* y (/ 1 (sin y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0546940
12442743
25001687

prune193.0ms

Filtered
173 candidates to 88 candidates (50.9%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1730173
Fresh088
Picked011
Done022
Total17311184

Merged error: 0b

Counts
184 → 11

regimes176.0ms

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
074
174

end0.0ms

sample2.2s

Algorithm
intervals
Results
877.0ms2978×body1280valid
473.0ms2536×body640valid
373.0ms8628×body80valid
154.0ms1209×body320valid
54.0ms618×body160valid