Details

Time bar (total: 5.0s)

sample63.0ms

Algorithm
intervals
Results
22.0ms83×body1280valid
13.0ms82×body640valid
10.0ms259×body80valid
4.0ms32×body320valid
1.0ms16×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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:
3.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
7.0ms
(* (cos x) (/ (sinh y) y))

series237.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (sinh y) y)
60.0ms
(sinh y)
91.0ms
(* (cos x) (/ (sinh y) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0324427
11285383
25001381

prune180.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
16×associate-*r*
13×add-exp-log sqrt-prod add-cbrt-cube
9×pow1
6×associate-/r* associate-/l*
4×sqrt-div add-log-exp
3×sinh-def associate-*r/ pow-prod-down prod-exp cbrt-unprod div-inv
2×cbrt-undiv frac-2neg div-exp clear-num associate-/l/
1×frac-times associate-*l* associate-*l/ *-commutative
Counts
4 → 98
Calls
4 calls:
1.0ms
(sinh y)
4.0ms
(/ (sinh y) y)
4.0ms
(/ (sinh y) y)
12.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sinh y)
89.0ms
(/ (sinh y) y)
86.0ms
(/ (sinh y) y)
109.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0587836
12657732
25001728

prune338.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (cos x) (sinh y))
0.3b
(* (* (cos x) (sinh y)) (/ 1 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
16×associate-*r*
14×add-sqr-sqrt
13×prod-exp
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×times-frac
7×cbrt-unprod
4×sinh-def associate-*r/ div-exp associate-*l* pow-prod-down
3×add-log-exp
2×cbrt-undiv rec-exp 1-exp *-commutative
1×frac-times associate-*l/ un-div-inv div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (cos x) (sinh y))
8.0ms
(* (* (cos x) (sinh y)) (/ 1 y))

series221.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(sinh y)
76.0ms
(* (cos x) (sinh y))
87.0ms
(* (* (cos x) (sinh y)) (/ 1 y))

simplify51.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0406468
11998386
25002345

prune142.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos x)) (cbrt (cos x)))
0.3b
(cbrt (cos x))
0.3b
(cbrt (cos x))
0.3b
(cbrt (cos x))

rewrite11.0ms

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 (cos x)) (cbrt (cos x)))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))

series455.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
100.0ms
(cbrt (cos x))
100.0ms
(cbrt (cos x))
94.0ms
(cbrt (cos x))

simplify102.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune209.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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
0109
1109

end0.0ms

sample2.3s

Algorithm
intervals
Results
832.0ms3017×body1280valid
636.0ms2482×body640valid
318.0ms8564×body80valid
155.0ms1196×body320valid
49.0ms613×body160valid