Details

Time bar (total: 5.5s)

sample37.0ms

Algorithm
intervals
Results
12.0ms42×body1280valid
8.0ms187×body80valid
6.0ms30×body640valid
1.0ms10×body320valid
1.0ms11×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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)

rewrite20.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
3.0ms
(/ (sin y) y)
8.0ms
(* x (/ (sin y) y))
5.0ms
(/ (* x (/ (sin y) y)) z)

series151.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
55.0ms
(* x (/ (sin y) y))
70.0ms
(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0333511
11655443
25001443

prune211.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite35.0ms

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×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u 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 → 111
Calls
3 calls:
3.0ms
(/ (sin y) y)
10.0ms
(* x (/ (sin y) y))
17.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series147.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
55.0ms
(* x (/ (sin y) y))
66.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0487693
12670577
25001564

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)

rewrite41.0ms

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×expm1-log1p-u rec-exp 1-exp associate-/r* un-div-inv log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 95
Calls
3 calls:
14.0ms
(* x (* (sin y) (/ 1 y)))
9.0ms
(* (sin y) (/ 1 y))
15.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series148.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* x (* (sin y) (/ 1 y)))
25.0ms
(* (sin y) (/ 1 y))
69.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify60.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0422595
12107461
25002439

prune196.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))

rewrite149.0ms

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×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 980
Calls
3 calls:
3.0ms
(/ (sin y) y)
44.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
11.0ms
(/ (/ z x) (/ (sin y) y))

series201.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (sin y) y)
66.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
107.0ms
(/ (/ z x) (/ (sin y) y))

simplify180.0ms

Algorithm
egg-herbie
Counts
989 → 989
Iterations

Useful iterations: 1 (64.0ms)

IterNodesCost
0371313416
1500212929

prune2.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

76.8% (0.6b remaining)

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

bsearch83.0ms

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

sample1.0s

Algorithm
intervals
Results
292.0ms1015×body1280valid
249.0ms5756×body80valid
202.0ms1080×body640valid
72.0ms549×body320valid
29.0ms308×body160valid