Details

Time bar (total: 5.1s)

sample58.0ms

Algorithm
intervals
Results
20.0ms44×body1280valid
11.0ms38×body640valid
11.0ms135×body80valid
5.0ms23×body320valid
2.0ms16×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

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)))
14.6b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite164.0ms

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×associate-/r* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
3 → 79
Calls
3 calls:
69.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
27.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
66.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series157.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
37.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
70.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify56.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0402818
12097614
25002599

prune234.0ms

Pruning

10 alts after pruning (10 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)))

rewrite110.0ms

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×associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*r/ clear-num
Counts
3 → 98
Calls
3 calls:
14.0ms
(/ (sin (* 0.5 x)) (sin x))
66.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
27.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (sin (* 0.5 x)) (sin x))
75.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
34.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify69.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0463970
12477779
25002764

prune282.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l*
6×associate-/r*
5×pow1
4×div-inv associate-/l*
3×add-log-exp
2×frac-2neg clear-num unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 94
Calls
3 calls:
19.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
13.0ms
(/ (sin (* 0.5 x)) (sin x))
38.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (* 8.0 (sin (* x 0.5))) 3.0)
37.0ms
(/ (sin (* 0.5 x)) (sin x))
74.0ms
(* (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin (* 0.5 x)) (sin x)))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0458994
12409812
25001788

prune277.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 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))))
0.4b
(* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))
1.0b
(/ 8.0 (cbrt 3.0))

rewrite479.0ms

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×associate-*r/ div-inv add-log-exp
3×*-commutative associate-/l* unswap-sqr
1×frac-2neg clear-num
Counts
4 → 228
Calls
4 calls:
316.0ms
(* (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
108.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))
32.0ms
(* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))
9.0ms
(/ 8.0 (cbrt 3.0))

series400.0ms

Counts
4 → 10
Calls
4 calls:
166.0ms
(* (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))) (/ (sin (* 0.5 x)) (sin x)))
132.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5))))
101.0ms
(* (/ 8.0 (cbrt 3.0)) (sin (* x 0.5)))
0.0ms
(/ 8.0 (cbrt 3.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010373268
150012460

prune549.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1179
2179

end0.0ms

sample1.7s

Algorithm
intervals
Results
715.0ms1523×body1280valid
374.0ms1274×body640valid
261.0ms4262×body80valid
135.0ms615×body320valid
46.0ms326×body160valid