Details

Time bar (total: 3.9s)

sample71.0ms

Algorithm
intervals
Results
28.0ms105×body1280valid
13.0ms83×body640valid
10.0ms290×body80valid
5.0ms46×body320valid
1.0ms17×body160valid

simplify76.0ms

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

localize11.0ms

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×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:
4.0ms
(/ (sinh y) y)
7.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series235.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (sinh y) y)
89.0ms
(* (cos x) (/ (sinh y) y))
58.0ms
(sinh y)

simplify41.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0324427
11285383
25001381

prune168.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ (sinh y) y) 3))
0.0b
(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b
(sinh y)
0.0b
(pow (/ (sinh y) y) 3)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-prod
66×add-sqr-sqrt
56×times-frac
51×add-cube-cbrt *-un-lft-identity
41×unpow-prod-down cube-prod
35×associate-*r*
9×add-exp-log
8×add-cbrt-cube
7×pow1 unswap-sqr
6×div-inv
4×add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*l*
2×cbrt-div pow-exp rem-cube-cbrt
1×cbrt-undiv pow-to-exp sinh-def pow-pow pow1/3 associate-*r/ div-exp pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
4 → 153
Calls
4 calls:
5.0ms
(cbrt (pow (/ (sinh y) y) 3))
13.0ms
(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
1.0ms
(sinh y)
5.0ms
(pow (/ (sinh y) y) 3)

series372.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (pow (/ (sinh y) y) 3))
100.0ms
(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
61.0ms
(sinh y)
119.0ms
(pow (/ (sinh y) y) 3)

simplify74.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05801049
12732947
25001926

prune296.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

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:
1.0ms
(sinh y)
4.0ms
(* (cos x) (sinh y))
5.0ms
(/ (* (cos x) (sinh y)) y)

series224.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
76.0ms
(* (cos x) (sinh y))
88.0ms
(/ (* (cos x) (sinh y)) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0267317
11179271
25002253

prune109.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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
0106
1106

end0.0ms

sample2.1s

Algorithm
intervals
Results
839.0ms3042×body1280valid
418.0ms2496×body640valid
317.0ms8745×body80valid
135.0ms1144×body320valid
48.0ms621×body160valid