Details

Time bar (total: 5.6s)

sample37.0ms

Algorithm
intervals
Results
12.0ms42×body1280valid
8.0ms187×body80valid
5.0ms30×body640valid
1.0ms10×body320valid
1.0ms11×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
1.9b
(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
3.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))
5.0ms
(/ (* x (/ (sin y) y)) z)

series150.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
54.0ms
(* x (/ (sin y) y))
71.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune192.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.1b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
3.0ms
(/ (sin y) y)
8.0ms
(* x (/ (sin y) y))
16.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series149.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (sin y) y)
54.0ms
(* x (/ (sin y) y))
68.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify64.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0480667
12656552
25001539

prune213.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.5b
(* (sin y) (/ 1 y))
1.9b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×rec-exp 1-exp associate-/r* un-div-inv add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 89
Calls
3 calls:
13.0ms
(* x (* (sin y) (/ 1 y)))
9.0ms
(* (sin y) (/ 1 y))
14.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series148.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (* (sin y) (/ 1 y)))
28.0ms
(* (sin y) (/ 1 y))
68.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0415565
12095432
25002410

prune180.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.6b
(/ 1 (/ (/ z x) (/ (sin y) y)))
2.3b
(/ (/ z x) (/ (sin y) y))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
2564×times-frac
1114×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
190×associate-/r*
139×div-inv
61×add-exp-log
43×div-exp
35×add-cbrt-cube
22×cbrt-undiv
19×associate-/l*
6×associate-/r/
5×rec-exp 1-exp
4×pow1
3×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 974
Calls
3 calls:
3.0ms
(/ (sin y) y)
43.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
11.0ms
(/ (/ z x) (/ (sin y) y))

series199.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (sin y) y)
70.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
103.0ms
(/ (/ z x) (/ (sin y) y))

simplify176.0ms

Algorithm
egg-herbie
Counts
983 → 983
Iterations

Useful iterations: 1 (60.0ms)

IterNodesCost
0367913389
1500212903

prune2.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

76.8% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.7b

bsearch89.0ms

Steps
ItersRangePoint
9
3.3205719084428313e-53
2.116861950278137e-44
1.0255724748390319e-44
8
-3.9934486818618
-0.00014149539617518177
-0.03345568135380677

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02614
12614

end0.0ms

sample1.1s

Algorithm
intervals
Results
296.0ms1015×body1280valid
259.0ms5756×body80valid
199.0ms1080×body640valid
71.0ms549×body320valid
28.0ms308×body160valid