Details

Time bar (total: 3.9s)

sample60.0ms

Algorithm
intervals
Results
16.0ms63×body1280valid
12.0ms327×body80valid
11.0ms64×body640valid
4.0ms38×body320valid
1.0ms19×body160valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31464
42924
55564
615434
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
15.9b
(/ (* (sin x) (sinh y)) x)

rewrite29.0ms

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×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u 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 → 55
Calls
3 calls:
1.0ms
(sinh y)
11.0ms
(* (sin x) (sinh y))
13.0ms
(/ (* (sin x) (sinh y)) x)

series228.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(sinh y)
92.0ms
(* (sin x) (sinh y))
82.0ms
(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292340
11273291
25001273

prune134.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:
7.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
16.0ms
(* (sin x) (/ (sinh y) x))

series210.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ (sinh y) x)
56.0ms
(sinh y)
85.0ms
(* (sin x) (/ (sinh y) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0342450
11303402
25001400

prune186.0ms

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

rewrite27.0ms

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 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
1.0ms
(sinh y)
9.0ms
(/ x (sinh y))
13.0ms
(/ (sin x) (/ x (sinh y)))

series242.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(sinh y)
100.0ms
(/ x (sinh y))
88.0ms
(/ (sin x) (/ x (sinh y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0488956
12017903
25001882

prune289.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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×expm1-log1p-u sinh-def associate-*r* associate-/r* log1p-expm1-u 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 → 75
Calls
3 calls:
1.0ms
(sinh y)
17.0ms
(* (/ (sin x) x) (sinh y))
8.0ms
(/ (sin x) x)

series167.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(sinh y)
89.0ms
(* (/ (sin x) x) (sinh y))
26.0ms
(/ (sin x) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0323445
11263397
25001374

prune173.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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
074
174

end0.0ms

sample1.8s

Algorithm
intervals
Results
517.0ms1922×body1280valid
390.0ms10232×body80valid
339.0ms1964×body640valid
129.0ms1087×body320valid
51.0ms628×body160valid