Details

Time bar (total: 4.2s)

sample64.0ms

Algorithm
intervals
Results
17.0ms64×body1280valid
12.0ms341×body80valid
12.0ms71×body640valid
4.0ms35×body320valid
2.0ms25×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: 15.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
15.1b
(/ (* (sin x) (sinh y)) x)

rewrite33.0ms

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)
16.0ms
(* (sin x) (sinh y))
14.0ms
(/ (* (sin x) (sinh y)) x)

series246.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
89.0ms
(* (sin x) (sinh y))
98.0ms
(/ (* (sin x) (sinh y)) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0280320
11233272
25001255

prune134.0ms

Pruning

5 alts after pruning (5 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))

rewrite28.0ms

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:
7.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
18.0ms
(* (sin x) (/ (sinh y) x))

series239.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(/ (sinh y) x)
64.0ms
(sinh y)
99.0ms
(* (sin x) (/ (sinh y) x))

simplify38.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0328433
11261387
25001385

prune360.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (* (sinh y) (/ 1 x)))
0.2b
(* (sinh y) (/ 1 x))

rewrite56.0ms

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×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 → 72
Calls
3 calls:
1.0ms
(sinh y)
35.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
17.0ms
(* (sinh y) (/ 1 x))

series231.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
96.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
76.0ms
(* (sinh y) (/ 1 x))

simplify50.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0407464
11555379
25002334

prune166.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
0.2b
(* (sin x) (/ 1 x))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
27×prod-exp
18×add-sqr-sqrt
17×pow1
15×cbrt-unprod
14×associate-*r*
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow-prod-down
7×associate-*r/
6×div-exp
4×sinh-def associate-*l*
3×cbrt-undiv rec-exp 1-exp un-div-inv add-log-exp unswap-sqr
2×frac-times associate-*l/ *-commutative
1×div-inv
Counts
3 → 79
Calls
3 calls:
1.0ms
(sinh y)
52.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
20.0ms
(* (sin x) (/ 1 x))

series190.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
100.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
28.0ms
(* (sin x) (/ 1 x))

simplify57.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0459559
12083439
25001415

prune158.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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

sample1.9s

Algorithm
intervals
Results
538.0ms1904×body1280valid
408.0ms10429×body80valid
336.0ms1908×body640valid
135.0ms1117×body320valid
54.0ms646×body160valid