Details

Time bar (total: 8.3s)

sample105.0ms

Algorithm
intervals
Results
21.0ms58×body1280valid
17.0ms294×body80nan
13.0ms189×body80valid
8.0ms13×body2560valid
6.0ms25×body640valid
1.0ms7×body320valid
1.0ms6×body160valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210
done9210

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.5b

localize16.0ms

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))))
27.9b
(cos (- y (/ (* z t) 3.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum frac-2neg clear-num div-inv
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
9.0ms
(/ (* z t) 3.0)
8.0ms
(/ a (* b 3.0))
31.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
16.0ms
(cos (- y (/ (* z t) 3.0)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
99.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
41.0ms
(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0404507
11689429
25001426
done5001426

prune363.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.4b
(cos (/ (* z t) 3.0))
31.5b
(sin (/ (* z t) 3.0))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
36.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
40.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (/ (* z t) 3.0))

series251.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
101.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
11.0ms
(cos (/ (* z t) 3.0))
19.0ms
(sin (/ (* z t) 3.0))

simplify52.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0351704
11500545
25001540
done5001540

prune336.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
30.8b
(cos (* 0.3333333333333333 (* t z)))
31.5b
(sin (/ (* z t) 3.0))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
75.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
41.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms
(cos (* 0.3333333333333333 (* t z)))
3.0ms
(sin (/ (* z t) 3.0))

series249.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
97.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
14.0ms
(cos (* 0.3333333333333333 (* t z)))
17.0ms
(sin (/ (* z t) 3.0))

simplify44.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0355704
11526545
25001540
done5001540

prune340.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
30.8b
(cos (* 0.3333333333333333 (* t z)))
31.3b
(sin (* 0.3333333333333333 (* t z)))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
74.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
82.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
18.0ms
(cos (* 0.3333333333333333 (* t z)))
17.0ms
(sin (* 0.3333333333333333 (* t z)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
107.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
12.0ms
(cos (* 0.3333333333333333 (* t z)))
21.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify43.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0341704
11502545
25001540
done5001540

prune253.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.4b

regimes2.2s

Accuracy

57.5% (1.6b remaining)

Error of 18.3b against oracle of 16.7b and baseline of 20.5b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05952
16152
26152
done6152

end0.0ms

sample3.0s

Algorithm
intervals
Results
580.0ms1542×body1280valid
558.0ms9174×body80nan
320.0ms5686×body80valid
237.0ms364×body2560valid
234.0ms945×body640valid
84.0ms446×body320valid
26.0ms205×body160valid