Details

Time bar (total: 4.9s)

sample58.0ms

Algorithm
intervals
Results
19.0ms41×body1280valid
15.0ms39×body640valid
8.0ms138×body80valid
6.0ms28×body320valid
1.0ms10×body160valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))
16.1b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l*
13×times-frac
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
6×associate-*r*
5×associate-*l/
4×pow-prod-down
3×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
3 → 85
Calls
3 calls:
21.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
12.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
21.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series180.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
41.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
82.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify58.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0412862
12127656
25001637

prune235.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×associate-*l*
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
4×pow-prod-down associate-*l/
3×expm1-log1p-u associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*r/ clear-num
Counts
3 → 104
Calls
3 calls:
4.0ms
(/ (sin (* 0.5 x)) (sin x))
23.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
13.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (sin (* 0.5 x)) (sin x))
79.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
37.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify67.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04741006
12505814
25001799

prune301.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* 0.5 x)) 3.0)
0.1b
(/ (sin (* 0.5 x)) (sin x))
0.2b
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp
6×associate-/r* associate-/l*
3×expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*l* associate-*l/ *-commutative
Counts
3 → 99
Calls
3 calls:
3.0ms
(/ (sin (* 0.5 x)) 3.0)
4.0ms
(/ (sin (* 0.5 x)) (sin x))
18.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (sin (* 0.5 x)) 3.0)
43.0ms
(/ (sin (* 0.5 x)) (sin x))
78.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0437968
12144808
25001786

prune271.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
0.3b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))
0.5b
(* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))
1.0b
(/ 8.0 (cbrt 3.0))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
313×add-exp-log
178×prod-exp
122×add-cbrt-cube
81×div-exp
76×cbrt-unprod
50×add-sqr-sqrt times-frac
42×add-cube-cbrt *-un-lft-identity
39×cbrt-undiv
30×associate-*l*
22×cbrt-prod
20×pow1
18×rec-exp 1-exp
17×associate-*r*
13×associate-*l/
10×pow-prod-down
6×frac-times associate-/r*
4×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp
3×*-commutative associate-/l* unswap-sqr
1×frac-2neg clear-num
Counts
4 → 236
Calls
4 calls:
163.0ms
(* (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
49.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))
15.0ms
(* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))
3.0ms
(/ 8.0 (cbrt 3.0))

series422.0ms

Counts
4 → 10
Calls
4 calls:
175.0ms
(* (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
140.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))
108.0ms
(* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))
0.0ms
(/ 8.0 (cbrt 3.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010493338
150022528

prune589.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02315
12515
22515

end0.0ms

sample1.7s

Algorithm
intervals
Results
748.0ms1505×body1280valid
396.0ms1262×body640valid
281.0ms4337×body80valid
132.0ms599×body320valid
49.0ms297×body160valid