Details

Time bar (total: 27.1s)

sample284.0ms

Algorithm
intervals
Results
123.0ms86×body1280valid
84.0ms54×body2560valid
21.0ms36×body640valid
8.0ms19×body320valid
7.0ms55×body80valid
2.0ms6×body160valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done1501
101501
91489
81336
71246
61065
5802
4460
3223
298
142
023

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 46.9b

localize45.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (* (/ t 16.0) b) (+ 1.0 (* 2.0 a)))
2.4b
(/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z))
36.4b
(cos (/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z)))
36.6b
(cos (* (* (/ t 16.0) b) (+ 1.0 (* 2.0 a))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
435×times-frac
203×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
49×associate-/r*
25×associate-/r/
22×add-cbrt-cube add-exp-log
17×div-inv
14×flip3-+ flip-+
9×pow1
7×cbrt-undiv div-exp
5×prod-exp cbrt-unprod
4×associate-*l/ add-log-exp
3×associate-*r* pow-prod-down associate-/l*
2×distribute-rgt-in frac-times cos-sum distribute-lft-in associate-*r/
1×clear-num frac-2neg associate-*l* *-commutative
Counts
4 → 259
Calls
4 calls:
32.0ms
(* (* (/ t 16.0) b) (+ 1.0 (* 2.0 a)))
23.0ms
(/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z))
26.0ms
(cos (/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z)))
22.0ms
(cos (* (* (/ t 16.0) b) (+ 1.0 (* 2.0 a))))

series268.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* (/ t 16.0) b) (+ 1.0 (* 2.0 a)))
78.0ms
(/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z))
48.0ms
(cos (/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z)))
38.0ms
(cos (* (* (/ t 16.0) b) (+ 1.0 (* 2.0 a))))

simplify838.0ms

Counts
271 → 271
Iterations
IterNodes
done5000
11856
0625

prune3.0s

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 41.8b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 16.0 (+ (* 2.0 y) 1.0)) z)
0.2b
(* (cos (/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z))) x)
2.4b
(/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z))
36.4b
(cos (/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
516×times-frac
250×add-sqr-sqrt
248×*-un-lft-identity add-cube-cbrt
52×associate-/r*
33×associate-/r/
22×div-inv
20×add-cbrt-cube add-exp-log
18×associate-/l*
16×flip3-+ flip-+
9×cbrt-undiv div-exp
6×pow1
4×add-log-exp
3×associate-*r* associate-*l*
2×clear-num frac-2neg
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 319
Calls
4 calls:
21.0ms
(/ (/ 16.0 (+ (* 2.0 y) 1.0)) z)
9.0ms
(* (cos (/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z))) x)
35.0ms
(/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z))
39.0ms
(cos (/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ (/ 16.0 (+ (* 2.0 y) 1.0)) z)
110.0ms
(* (cos (/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z))) x)
67.0ms
(/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z))
38.0ms
(cos (/ t (/ (/ 16.0 (+ (* 2.0 y) 1.0)) z)))

simplify827.0ms

Counts
331 → 331
Iterations
IterNodes
done5001
11731
0598

prune3.4s

Pruning

50 alts after pruning (50 fresh and 0 done)

Merged error: 40.1b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune485.0ms

Pruning

50 alts after pruning (49 fresh and 1 done)

Merged error: 40.1b

localize85.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
36.6b
(cos (* (/ (* (cbrt t) (cbrt t)) (* (/ (cbrt 16.0) (cbrt z)) (/ (cbrt 16.0) (cbrt z)))) (/ (cbrt t) (/ (cbrt 16.0) (* (cbrt z) (+ 1.0 (* 2.0 y)))))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log add-log-exp
3×pow1/3
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt 16.0)
1.0ms
(cbrt 16.0)
1.0ms
(cbrt 16.0)
5.0ms
(cos (* (/ (* (cbrt t) (cbrt t)) (* (/ (cbrt 16.0) (cbrt z)) (/ (cbrt 16.0) (cbrt z)))) (/ (cbrt t) (/ (cbrt 16.0) (* (cbrt z) (+ 1.0 (* 2.0 y)))))))

series157.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
157.0ms
(cos (* (/ (* (cbrt t) (cbrt t)) (* (/ (cbrt 16.0) (cbrt z)) (/ (cbrt 16.0) (cbrt z)))) (/ (cbrt t) (/ (cbrt 16.0) (* (cbrt z) (+ 1.0 (* 2.0 y)))))))

simplify954.0ms

Counts
46 → 46
Iterations
IterNodes
done5000
32341
2384
1116
056

prune480.0ms

Pruning

52 alts after pruning (50 fresh and 2 done)

Merged error: 40.1b

regimes5.4s

Accuracy

0% (5.1b remaining)

Error of 43.8b against oracle of 38.8b and baseline of 43.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
213
19
06

end0.0ms

sample7.9s

Algorithm
intervals
Results
3.2s1753×body2560valid
2.4s2292×body1280valid
710.0ms1122×body640valid
417.0ms41×body5120valid
331.0ms1963×body80valid
239.0ms584×body320valid
89.0ms245×body160valid