Details

Time bar (total: 5.3s)

sample79.0ms

Algorithm
intervals
Results
23.0ms68×body1280valid
17.0ms80×body640valid
17.0ms324×body80valid
7.0ms44×body320valid
2.0ms16×body160valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55174
614554
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize10.0ms

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)

rewrite10.0ms

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:
1.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
4.0ms
(/ (* (sin x) (sinh y)) x)

series240.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(sinh y)
85.0ms
(* (sin x) (sinh y))
98.0ms
(/ (* (sin x) (sinh y)) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune125.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:
0.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
9.0ms
(* (sin x) (/ (sinh y) x))

series242.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
78.0ms
(/ (sinh y) x)
99.0ms
(* (sin x) (/ (sinh y) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0328433
11261387
25001385

prune170.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.7b
(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

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)
6.0ms
(/ (sin x) (/ x (sinh y)))

series264.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(/ x (sinh y))
62.0ms
(sinh y)
94.0ms
(/ (sin x) (/ x (sinh y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0475938
11984886
25001865

prune285.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.2b
(/ (/ x (sinh y)) (sin x))
0.7b
(/ 1 (/ (/ x (sinh y)) (sin x)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
501×times-frac
246×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×associate-/r*
32×add-exp-log
23×div-inv
20×add-cbrt-cube associate-/l*
19×div-exp
18×sinh-def associate-/r/
10×cbrt-undiv
5×pow1
4×add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/l/ inv-pow
Counts
4 → 322
Calls
4 calls:
0.0ms
(sinh y)
2.0ms
(/ x (sinh y))
7.0ms
(/ (/ x (sinh y)) (sin x))
15.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(sinh y)
115.0ms
(/ x (sinh y))
167.0ms
(/ (/ x (sinh y)) (sin x))
96.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

simplify63.0ms

Algorithm
egg-herbie
Counts
334 → 334
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012283680
150013295

prune750.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes101.0ms

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

sample2.2s

Algorithm
intervals
Results
627.0ms1869×body1280valid
554.0ms10216×body80valid
443.0ms1925×body640valid
197.0ms1165×body320valid
70.0ms617×body160valid