Details

Time bar (total: 48.6s)

sample216.0ms

Algorithm
intervals
Results
38.0ms49×body1280valid
38.0ms303×body80nan
35.0ms30×body640valid
22.0ms179×body80valid
8.0ms7×body2560valid
7.0ms17×body320valid
1.0ms2×body160valid

simplify310.0ms

Counts
1 → 1
Iterations
IterNodes
done86
686
584
478
367
250
132
018

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.1b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b
(/ a (* b 3.0))
25.2b
(cos (- y (/ (* z t) 3.0)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
9×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-/r* div-exp insert-posit16 associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum clear-num frac-2neg div-inv
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 76
Calls
4 calls:
24.0ms
(/ (* z t) 3.0)
80.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
20.0ms
(/ a (* b 3.0))
23.0ms
(cos (- y (/ (* z t) 3.0)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* z t) 3.0)
240.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
45.0ms
(/ a (* b 3.0))
106.0ms
(cos (- y (/ (* z t) 3.0)))

simplify3.0s

Counts
88 → 88
Iterations
IterNodes
done5001
21374
1428
0174

prune1.9s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 16.6b

localize142.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
28.5b
(cos (/ (* z t) 3.0))
28.8b
(sin (/ (* z t) 3.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
9×pow1
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×times-frac associate-*r* pow-prod-down associate-*r/ associate-/l*
2×cbrt-undiv div-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 62
Calls
4 calls:
10.0ms
(/ a (* b 3.0))
92.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
10.0ms
(cos (/ (* z t) 3.0))
10.0ms
(sin (/ (* z t) 3.0))

series676.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ a (* b 3.0))
605.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
17.0ms
(cos (/ (* z t) 3.0))
26.0ms
(sin (/ (* z t) 3.0))

simplify4.0s

Counts
74 → 74
Iterations
IterNodes
done5001
21616
1451
0166

prune2.3s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 16.5b

localize133.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.2b
(/ a (* b 3.0))
28.7b
(cos (* 0.3333333333333333 (* t z)))
28.8b
(sin (/ (* z t) 3.0))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
9×pow1
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×times-frac associate-*r* pow-prod-down associate-*r/ associate-/l*
2×cbrt-undiv div-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 62
Calls
4 calls:
171.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
10.0ms
(/ a (* b 3.0))
24.0ms
(cos (* 0.3333333333333333 (* t z)))
9.0ms
(sin (/ (* z t) 3.0))

series743.0ms

Counts
4 → 12
Calls
4 calls:
624.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
44.0ms
(/ a (* b 3.0))
32.0ms
(cos (* 0.3333333333333333 (* t z)))
43.0ms
(sin (/ (* z t) 3.0))

simplify4.1s

Counts
74 → 74
Iterations
IterNodes
done5000
21642
1452
0169

prune2.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.5b

localize147.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
28.5b
(sin (* 0.3333333333333333 (* t z)))
28.7b
(cos (* 0.3333333333333333 (* t z)))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
9×pow1
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×times-frac associate-*r* pow-prod-down associate-*r/ associate-/l*
2×cbrt-undiv div-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 62
Calls
4 calls:
18.0ms
(/ a (* b 3.0))
236.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
28.0ms
(sin (* 0.3333333333333333 (* t z)))
22.0ms
(cos (* 0.3333333333333333 (* t z)))

series669.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ a (* b 3.0))
569.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
31.0ms
(sin (* 0.3333333333333333 (* t z)))
31.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify4.3s

Counts
74 → 74
Iterations
IterNodes
done5014
21747
1444
0162

prune1.5s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.5b

regimes13.7s

Accuracy

60.4% (1.5b remaining)

Error of 17.3b against oracle of 15.8b and baseline of 19.6b

bsearch5.0ms

simplify22.0ms

Iterations
IterNodes
done61
161
047

end0.0ms

sample7.2s

Algorithm
intervals
Results
2.1s1569×body1280valid
1.5s9051×body80nan
1.0s5637×body80valid
590.0ms926×body640valid
477.0ms361×body2560valid
216.0ms434×body320valid
47.0ms205×body160valid