Details

Time bar (total: 4.7s)

sample65.0ms

Algorithm
intervals
Results
23.0ms83×body1280valid
13.0ms82×body640valid
12.0ms259×body80valid
4.0ms32×body320valid
1.0ms16×body160valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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

series229.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (sinh y) y)
58.0ms
(sinh y)
86.0ms
(* (cos x) (/ (sinh y) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0339443
11326398
25001396

prune187.0ms

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×expm1-log1p-u sqrt-div log1p-expm1-u 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 → 106
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)))

series345.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sinh y)
85.0ms
(/ (sinh y) y)
87.0ms
(/ (sinh y) y)
116.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0612866
12715761
25001744

prune329.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 73
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (cos x) (sinh y))
8.0ms
(* (* (cos x) (sinh y)) (/ 1 y))

series227.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
78.0ms
(* (cos x) (sinh y))
88.0ms
(* (* (cos x) (sinh y)) (/ 1 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0418490
12033406
25001365

prune156.0ms

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))

rewrite12.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))
2.0ms
(cbrt (cos x))

series450.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
95.0ms
(cbrt (cos x))
95.0ms
(cbrt (cos x))
102.0ms
(cbrt (cos x))

simplify101.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune216.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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

sample2.1s

Algorithm
intervals
Results
820.0ms3017×body1280valid
425.0ms2482×body640valid
325.0ms8564×body80valid
143.0ms1196×body320valid
49.0ms613×body160valid