Details

Time bar (total: 6.5s)

sample69.0ms

Algorithm
intervals
Results
20.0ms71×body1280valid
17.0ms76×body640valid
12.0ms301×body80valid
5.0ms38×body320valid
1.0ms16×body160valid

simplify46.0ms

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: 13.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.7b
(/ (* (sin x) (sinh y)) x)

rewrite26.0ms

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)

series225.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(sinh y)
80.0ms
(* (sin x) (sinh y))
87.0ms
(/ (* (sin x) (sinh y)) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0292340
11273291
25001273

prune183.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
0.4b
(* (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))

series206.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (sinh y) x)
58.0ms
(sinh y)
85.0ms
(* (sin x) (/ (sinh y) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0342450
11303402
25001400

prune277.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
1.0b
(/ (sin x) (/ x (sinh y)))

rewrite28.0ms

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)
5.0ms
(/ x (sinh y))
17.0ms
(/ (sin x) (/ x (sinh y)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
102.0ms
(/ x (sinh y))
90.0ms
(/ (sin x) (/ x (sinh y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0488956
12017903
25001882

prune471.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.9b
(/ (cbrt (sin x)) (/ (cbrt x) (sinh y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
264×times-frac
146×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×cbrt-prod
23×associate-/r*
9×add-exp-log
8×associate-/r/ div-inv
7×sinh-def
6×add-cbrt-cube associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num
Counts
4 → 223
Calls
4 calls:
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
15.0ms
(/ (cbrt (sin x)) (/ (cbrt x) (sinh y)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (sin x))
97.0ms
(cbrt (sin x))
96.0ms
(cbrt (sin x))
148.0ms
(/ (cbrt (sin x)) (/ (cbrt x) (sinh y)))

simplify109.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07852913
134522857
250012777

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.1s

Algorithm
intervals
Results
622.0ms10216×body80valid
538.0ms1904×body1280valid
378.0ms1995×body640valid
147.0ms1102×body320valid
50.0ms562×body160valid