Details

Time bar (total: 22.9s)

sample320.0ms

Algorithm
intervals
Results
124.0ms71×body1280valid
88.0ms50×body2560valid
48.0ms49×body640valid
9.0ms62×body80valid
7.0ms16×body320valid
3.0ms8×body160valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02327
14227
29827
322127
439127
560827
682627
798227
8107227
9121627
10122827
done122827

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.8b

localize42.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (+ (* y 2.0) 1.0) z) t)
3.6b
(* (* (+ (* a 2.0) 1.0) b) t)
33.0b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.1b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×associate-*l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 54
Calls
4 calls:
52.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
48.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
6.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
7.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series252.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
67.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
60.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
59.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.1s

Counts
66 → 66
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0138888
1365878
21549714
done5000706

prune470.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 41.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
0.2b
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
1.5b
(* (* (+ (* y 2.0) 1.0) z) t)
33.0b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×associate-*l/
7×prod-exp cbrt-unprod
6×associate-*r*
4×associate-*l* pow-prod-down add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ *-commutative flip-+ associate-/l/
1×frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 70
Calls
4 calls:
10.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
49.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
49.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series278.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
63.0ms
(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
64.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
50.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.2s

Counts
82 → 82
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01431250
13721230
216511006
done50021000

prune592.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 40.0b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune197.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 40.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0)))
0.2b
(/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0)
2.9b
(* (* z t) (+ (* y 2.0) 1.0))
33.0b
(cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down add-log-exp
3×cbrt-undiv times-frac div-exp associate-/r*
2×flip3-+ *-commutative flip-+ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 72
Calls
4 calls:
12.0ms
(* x (cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0)))
29.0ms
(/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0)
34.0ms
(* (* z t) (+ (* y 2.0) 1.0))
12.0ms
(cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0))

series289.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* x (cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0)))
95.0ms
(/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0)
73.0ms
(* (* z t) (+ (* y 2.0) 1.0))
30.0ms
(cos (/ (* (* z t) (+ (* y 2.0) 1.0)) 16.0))

simplify1.3s

Counts
84 → 84
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
01441290
13981262
218711040
done50001040

prune324.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 39.5b

regimes3.1s

Accuracy

0% (4.7b remaining)

Error of 43.9b against oracle of 39.2b and baseline of 43.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
089
1115
2121
done121

end0.0ms

sample9.9s

Algorithm
intervals
Results
4.7s1839×body2560valid
2.7s2226×body1280valid
935.0ms1153×body640valid
365.0ms1964×body80valid
278.0ms528×body320valid
171.0ms37×body5120valid
78.0ms253×body160valid