Details

Time bar (total: 5.4s)

sample91.0ms

Algorithm
intervals
Results
37.0ms98×body1280valid
16.0ms73×body640valid
13.0ms254×body80valid
6.0ms38×body320valid
2.0ms18×body160valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

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: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(* (cos x) (/ (sinh y) y))
0.0b
(sinh y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
4.0ms
(/ (sinh y) y)
7.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series230.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (sinh y) y)
86.0ms
(* (cos x) (/ (sinh y) y))
57.0ms
(sinh y)

simplify41.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0339443
11326398
25001396

prune161.0ms

Filtered
83 candidates to 67 candidates (80.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New78583
Fresh000
Picked101
Done000
Total79584

Merged error: 0b

Counts
84 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ y (sinh y)))
0.0b
(* (cos x) (/ 1 (/ y (sinh y))))
0.0b
(sinh y)
0.0b
(/ y (sinh y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
9×sinh-def
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 200
Calls
4 calls:
6.0ms
(/ 1 (/ y (sinh y)))
18.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
1.0ms
(sinh y)
3.0ms
(/ y (sinh y))

series320.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ 1 (/ y (sinh y)))
87.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
60.0ms
(sinh y)
89.0ms
(/ y (sinh y))

simplify83.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07181454
134641253
250011108

prune325.0ms

Filtered
212 candidates to 140 candidates (66.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2111212
Fresh134
Picked101
Done000
Total2134217

Merged error: 0b

Counts
217 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (sinh y))
0.0b
(/ (/ 1 y) (/ 1 (sinh y)))
0.0b
(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
0.0b
(sinh y)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
898×times-frac
441×add-sqr-sqrt
412×*-un-lft-identity
406×add-cube-cbrt
187×associate-*r*
106×add-exp-log
66×div-exp
59×div-inv
36×add-cbrt-cube
30×associate-/r/
29×sinh-def
17×cbrt-undiv rec-exp 1-exp prod-exp associate-/r*
16×associate-/l*
10×unswap-sqr
7×pow1
5×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l*
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
4 → 521
Calls
4 calls:
4.0ms
(/ 1 (sinh y))
11.0ms
(/ (/ 1 y) (/ 1 (sinh y)))
49.0ms
(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
1.0ms
(sinh y)

series303.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ 1 (sinh y))
86.0ms
(/ (/ 1 y) (/ 1 (sinh y)))
86.0ms
(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
63.0ms
(sinh y)

simplify86.0ms

Algorithm
egg-herbie
Counts
533 → 533
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
019975063
150024414

prune811.0ms

Filtered
533 candidates to 301 candidates (56.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New5330533
Fresh033
Picked011
Done000
Total5334537

Merged error: 0b

Counts
537 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (cos x) (sinh y))
0.2b
(/ (* (cos x) (sinh y)) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 55
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (cos x) (sinh y))
5.0ms
(/ (* (cos x) (sinh y)) y)

series217.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
73.0ms
(* (cos x) (sinh y))
85.0ms
(/ (* (cos x) (sinh y)) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0279337
11212289
25001271

prune99.0ms

Filtered
64 candidates to 48 candidates (75.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh022
Picked011
Done011
Total64468

Merged error: 0b

Counts
68 → 4

regimes94.0ms

Accuracy

0% (0.0b 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
0126
1126

end0.0ms

sample2.3s

Algorithm
intervals
Results
884.0ms2951×body1280valid
472.0ms2506×body640valid
370.0ms8751×body80valid
165.0ms1225×body320valid
59.0ms653×body160valid