Details

Time bar (total: 4.1s)

sample58.0ms

Algorithm
intervals
Results
16.0ms58×body1280valid
16.0ms343×body80valid
9.0ms53×body640valid
4.0ms30×body320valid
1.0ms15×body160valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55174
614554
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.1b
(/ (* (sin x) (sinh y)) x)

rewrite9.0ms

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)) x)

series244.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(sinh y)
85.0ms
(* (sin x) (sinh y))
94.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune121.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

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:
2.0ms
(/ (sinh y) x)
0.0ms
(sinh y)
8.0ms
(* (sin x) (/ (sinh y) x))

series235.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ (sinh y) x)
65.0ms
(sinh y)
96.0ms
(* (sin x) (/ (sinh y) x))

simplify38.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0328433
11261387
25001385

prune188.0ms

Filtered
77 candidates to 61 candidates (79.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.6b
(/ (sin x) (/ x (sinh y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
2.0ms
(/ x (sinh y))
0.0ms
(sinh y)
9.0ms
(/ (sin x) (/ x (sinh y)))

series266.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(/ x (sinh y))
58.0ms
(sinh y)
94.0ms
(/ (sin x) (/ x (sinh y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0475938
11984886
25001865

prune277.0ms

Filtered
119 candidates to 99 candidates (83.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1
3×sinh-def associate-*r* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
0.0ms
(sinh y)
10.0ms
(* (/ (sin x) x) (sinh y))
5.0ms
(/ (sin x) x)

series201.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(sinh y)
94.0ms
(* (/ (sin x) x) (sinh y))
33.0ms
(/ (sin x) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0311427
11229381
25001358

prune179.0ms

Filtered
78 candidates to 59 candidates (75.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.0s

Algorithm
intervals
Results
613.0ms10333×body80valid
538.0ms1888×body1280valid
347.0ms1907×body640valid
148.0ms1127×body320valid
49.0ms559×body160valid