Details

Time bar (total: 4.6s)

sample70.0ms

Algorithm
intervals
Results
20.0ms76×body1280valid
17.0ms335×body80valid
12.0ms70×body640valid
5.0ms46×body320valid
1.0ms15×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sin x) (sinh y))
10.7b
(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sinh-def associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 45
Calls
2 calls:
4.0ms
(* (sin x) (sinh y))
4.0ms
(/ (* (sin x) (sinh y)) x)

series179.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (sin x) (sinh y))
93.0ms
(/ (* (sin x) (sinh y)) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0271298
11234252
25001234

prune110.0ms

Filtered
51 candidates to 37 candidates (72.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×sinh-def frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 64
Calls
2 calls:
3.0ms
(/ (sinh y) x)
9.0ms
(* (sin x) (/ (sinh y) x))

series170.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (sinh y) x)
96.0ms
(* (sin x) (/ (sinh y) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0322408
11272363
25001361

prune161.0ms

Filtered
70 candidates to 54 candidates (77.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
9×add-exp-log add-cbrt-cube
6×associate-/r/ div-inv associate-/l*
5×sinh-def
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 106
Calls
2 calls:
2.0ms
(/ x (sinh y))
7.0ms
(/ (sin x) (/ x (sinh y)))

series207.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(/ x (sinh y))
96.0ms
(/ (sin x) (/ x (sinh y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0465914
11976864
25001843

prune277.0ms

Filtered
112 candidates to 93 candidates (83.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.2b
(/ (/ x (sinh y)) (sin x))
0.8b
(/ 1 (/ (/ x (sinh y)) (sin x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
501×times-frac
245×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×associate-/r*
31×add-exp-log
23×div-inv
20×associate-/l*
19×div-exp add-cbrt-cube
18×associate-/r/
17×sinh-def
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 320
Calls
3 calls:
2.0ms
(/ x (sinh y))
7.0ms
(/ (/ x (sinh y)) (sin x))
14.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

series372.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(/ x (sinh y))
161.0ms
(/ (/ x (sinh y)) (sin x))
97.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
329 → 329
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
012213668
150023293

prune729.0ms

Filtered
329 candidates to 235 candidates (71.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample1.8s

Algorithm
intervals
Results
532.0ms1846×body1280valid
419.0ms10329×body80valid
366.0ms1958×body640valid
144.0ms1155×body320valid
53.0ms622×body160valid