Details

Time bar (total: 5.6s)

sample77.0ms

Algorithm
intervals
Results
25.0ms42×body1280valid
16.0ms38×body640valid
15.0ms146×body80valid
10.0ms22×body320valid
2.0ms8×body160valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b
(* (/ 8.0 3.0) (sin (* x 0.5)))
13.0b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite66.0ms

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:
27.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
11.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
24.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series192.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
40.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
89.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify69.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0412862
12127656
25001637

prune285.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:
25.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms
(/ (sin (* 0.5 x)) (sin x))
12.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
42.0ms
(/ (sin (* 0.5 x)) (sin x))
46.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify81.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
04741006
12505814
25001799

prune342.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:
7.0ms
(/ (sin (* 0.5 x)) 3.0)
19.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))
5.0ms
(/ (sin (* 0.5 x)) (sin x))

series170.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (sin (* 0.5 x)) 3.0)
86.0ms
(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))
44.0ms
(/ (sin (* 0.5 x)) (sin x))

simplify78.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0437968
12144808
25001786

prune304.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
65×add-exp-log
51×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×add-cbrt-cube
24×cbrt-prod
23×cbrt-undiv div-exp
22×prod-exp cbrt-unprod
13×associate-*r* associate-/l*
11×div-inv
10×associate-/r*
9×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*r/ pow-prod-down clear-num
1×frac-times associate-*l* associate-*l/ *-commutative associate-/l/
Counts
4 → 175
Calls
4 calls:
7.0ms
(/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0)))
65.0ms
(* (* 8.0 (/ (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms
(/ (sin (* 0.5 x)) (sin x))
11.0ms
(/ (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series507.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0)))
191.0ms
(* (* 8.0 (/ (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))) (/ (sin (* 0.5 x)) (sin x)))
43.0ms
(/ (sin (* 0.5 x)) (sin x))
132.0ms
(/ (/ (sin (* 0.5 x)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07532381
136871920
250021799

prune587.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.5b 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
01714
11714

end0.0ms

sample2.3s

Algorithm
intervals
Results
919.0ms1495×body1280valid
513.0ms1218×body640valid
468.0ms4358×body80valid
189.0ms618×body320valid
62.0ms311×body160valid