Details

Time bar (total: 4.3s)

sample70.0ms

Algorithm
intervals
Results
19.0ms66×body1280valid
18.0ms85×body640valid
13.0ms331×body80valid
5.0ms41×body320valid
1.0ms16×body160valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1324
2684
31464
42924
55564
615434
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
11.3b
(/ (* (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×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)
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series237.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
83.0ms
(* (sin x) (sinh y))
94.0ms
(/ (* (sin x) (sinh y)) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0292340
11273291
25001273

prune141.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (/ (sinh y) x))
0.3b
(/ (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×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:
0.0ms
(sinh y)
8.0ms
(* (sin x) (/ (sinh y) x))
3.0ms
(/ (sinh y) x)

series222.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
91.0ms
(* (sin x) (/ (sinh y) x))
70.0ms
(/ (sinh y) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0342450
11303402
25001400

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (* (sinh y) (/ 1 x)))
0.5b
(* (sinh y) (/ 1 x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt
17×add-cbrt-cube
14×associate-*r*
13×*-un-lft-identity prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
7×cbrt-unprod
6×associate-*r/ associate-*l*
5×sinh-def
4×div-exp pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ un-div-inv *-commutative
1×div-inv
Counts
3 → 78
Calls
3 calls:
0.0ms
(sinh y)
14.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
11.0ms
(* (sinh y) (/ 1 x))

series220.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(sinh y)
90.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
71.0ms
(* (sinh y) (/ 1 x))

simplify53.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0421485
11597398
25001357

prune180.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/120 (pow y 5) y)
0.0b
(fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y))
0.0b
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x)
0.1b
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma 1/120 (pow y 5) y)
0.0ms
(fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y))
2.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x)
8.0ms
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x))

series416.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(fma 1/120 (pow y 5) y)
51.0ms
(fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y))
69.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x)
188.0ms
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x))

simplify45.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0299781
11304698
25001696

prune290.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes76.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample1.9s

Algorithm
intervals
Results
546.0ms1923×body1280valid
439.0ms10231×body80valid
368.0ms1983×body640valid
147.0ms1134×body320valid
60.0ms638×body160valid