Details

Time bar (total: 24.3s)

sample197.0ms

Algorithm
intervals
Results
53.0ms308×body80nan
30.0ms46×body1280valid
22.0ms195×body80valid
15.0ms27×body640valid
12.0ms11×body2560valid
4.0ms10×body320valid
1.0ms7×body160valid

simplify112.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
13319
25819
38219
410019
510819
611019
done11019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.9b
(cos (- y (/ (* z t) 3.0)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
23×cos-sum
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×prod-diff
19×add-exp-log add-cbrt-cube
15×times-frac
9×pow1
5×prod-exp cbrt-unprod div-inv
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
16.0ms
(/ (* z t) 3.0)
11.0ms
(/ a (* b 3.0))
58.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
36.0ms
(cos (- y (/ (* z t) 3.0)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* z t) 3.0)
25.0ms
(/ a (* b 3.0))
129.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
62.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.5s

Counts
113 → 113
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03272847
17112399
229131885
done50001822

prune802.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.3333333333333333 (* t z))
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (* 0.3333333333333333 (* t z)))))
24.9b
(cos (- y (* 0.3333333333333333 (* t z))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
14×pow1
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×pow-prod-down
5×cos-sum
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
3×cos-diff times-frac prod-diff associate-/l*
2×cbrt-undiv div-exp *-commutative
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num associate-/r* div-inv
Counts
4 → 80
Calls
4 calls:
30.0ms
(* 0.3333333333333333 (* t z))
13.0ms
(/ a (* b 3.0))
46.0ms
(* (* 2.0 (sqrt x)) (cos (- y (* 0.3333333333333333 (* t z)))))
13.0ms
(cos (- y (* 0.3333333333333333 (* t z))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 0.3333333333333333 (* t z))
29.0ms
(/ a (* b 3.0))
131.0ms
(* (* 2.0 (sqrt x)) (cos (- y (* 0.3333333333333333 (* t z)))))
42.0ms
(cos (- y (* 0.3333333333333333 (* t z))))

simplify979.0ms

Counts
92 → 92
Iterations

Useful iterations: done (975.0ms)

IterNodesCost
01891183
14431159
21741981
done5000972

prune762.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.8b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.3333333333333333 (* t z))
0.2b
(/ (/ a b) 3.0)
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (* 0.3333333333333333 (* t z)))))
24.9b
(cos (- y (* 0.3333333333333333 (* t z))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
14×pow1
13×associate-/l*
6×pow-prod-down prod-exp cbrt-unprod
5×cos-sum div-inv
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
3×cbrt-undiv cos-diff div-exp prod-diff associate-/r*
2×*-commutative
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num associate-/l/
Counts
4 → 129
Calls
4 calls:
31.0ms
(* 0.3333333333333333 (* t z))
21.0ms
(/ (/ a b) 3.0)
46.0ms
(* (* 2.0 (sqrt x)) (cos (- y (* 0.3333333333333333 (* t z)))))
12.0ms
(cos (- y (* 0.3333333333333333 (* t z))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 0.3333333333333333 (* t z))
30.0ms
(/ (/ a b) 3.0)
136.0ms
(* (* 2.0 (sqrt x)) (cos (- y (* 0.3333333333333333 (* t z)))))
66.0ms
(cos (- y (* 0.3333333333333333 (* t z))))

simplify1.5s

Counts
141 → 141
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02911860
16911790
229221616
done50021601

prune1.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ a b) 3.0)
0.3b
(* (* 2.0 (sqrt x)) (expm1 (log1p (cos (- y (* 0.3333333333333333 (* t z)))))))
0.4b
(log1p (cos (- y (* 0.3333333333333333 (* t z)))))
24.9b
(cos (- y (* 0.3333333333333333 (* t z))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×associate-/l*
9×pow1
5×expm1-log1p-u cos-sum div-inv
4×log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*r* prod-diff pow-prod-down prod-exp associate-/r* cbrt-unprod
1×cos-diff sub-neg log1p-udef frac-2neg log1p-expm1 associate-*l* clear-num *-commutative associate-/l/
Counts
4 → 118
Calls
4 calls:
22.0ms
(/ (/ a b) 3.0)
25.0ms
(* (* 2.0 (sqrt x)) (expm1 (log1p (cos (- y (* 0.3333333333333333 (* t z)))))))
0.0ms
(log1p (cos (- y (* 0.3333333333333333 (* t z)))))
20.0ms
(cos (- y (* 0.3333333333333333 (* t z))))

series455.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (/ a b) 3.0)
218.0ms
(* (* 2.0 (sqrt x)) (expm1 (log1p (cos (- y (* 0.3333333333333333 (* t z)))))))
132.0ms
(log1p (cos (- y (* 0.3333333333333333 (* t z)))))
75.0ms
(cos (- y (* 0.3333333333333333 (* t z))))

simplify1.3s

Counts
130 → 130
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02771850
16221729
225051561
done50001543

prune1.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 14.6b

regimes4.9s

Accuracy

67.4% (1.9b remaining)

Error of 16.8b against oracle of 14.8b and baseline of 20.8b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04075
14955
done4955

end0.0ms

sample8.2s

Algorithm
intervals
Results
2.3s1569×body1280valid
2.0s9213×body80nan
789.0ms5620×body80valid
725.0ms967×body640valid
513.0ms397×body2560valid
191.0ms400×body320valid
48.0ms196×body160valid