Details

Time bar (total: 5.1s)

sample74.0ms

Algorithm
intervals
Results
29.0ms106×body1280valid
14.0ms83×body640valid
11.0ms270×body80valid
4.0ms30×body320valid
2.0ms18×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
54924
613904
748564
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) y)
0.0b
(* (sin x) (/ (sinh y) 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×associate-*l* associate-/r* 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 → 68
Calls
3 calls:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) y)
8.0ms
(* (sin x) (/ (sinh y) y))

series260.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(sinh y)
89.0ms
(/ (sinh y) y)
106.0ms
(* (sin x) (/ (sinh y) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0333428
11323384
25001382

prune177.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series741.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt y) (cbrt y))
177.0ms
(cbrt y)
184.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
11.7b
(/ (* (sin x) (sinh y)) y)

rewrite10.0ms

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×sinh-def times-frac associate-*r* associate-*l* associate-/r* 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 → 49
Calls
3 calls:
0.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
4.0ms
(/ (* (sin x) (sinh y)) y)

series253.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
86.0ms
(* (sin x) (sinh y))
102.0ms
(/ (* (sin x) (sinh y)) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0279320
11233272
25001255

prune109.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
0.2b
(/ 1 (/ y (* (sin x) (sinh y))))
11.7b
(/ y (* (sin x) (sinh y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
32×add-exp-log
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
14×div-exp
9×associate-/r*
7×pow1 cbrt-undiv sinh-def
6×associate-*r/ associate-/r/ div-inv associate-/l*
5×prod-exp
4×add-log-exp
3×rec-exp 1-exp associate-*r* associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 109
Calls
4 calls:
0.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
8.0ms
(/ 1 (/ y (* (sin x) (sinh y))))
4.0ms
(/ y (* (sin x) (sinh y)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(sinh y)
88.0ms
(* (sin x) (sinh y))
78.0ms
(/ 1 (/ y (* (sin x) (sinh y))))
126.0ms
(/ y (* (sin x) (sinh y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0467848
12167707
25001650

prune202.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.2s

Algorithm
intervals
Results
876.0ms2930×body1280valid
466.0ms2549×body640valid
354.0ms8538×body80valid
156.0ms1219×body320valid
53.0ms614×body160valid