Details

Time bar (total: 11.6s)

sample99.0ms

Algorithm
intervals
Results
23.0ms50×body1280valid
18.0ms273×body80nan
10.0ms171×body80valid
8.0ms13×body2560valid
7.0ms27×body640valid
4.0ms17×body320valid
1.0ms9×body160valid

simplify42.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13219
25419
37519
48819
59119
done9119

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.3b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.4b
(cos (- y (/ (* z t) 3.0)))

rewrite28.0ms

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:
3.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
12.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
9.0ms
(cos (- y (/ (* z t) 3.0)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
91.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
36.0ms
(cos (- y (/ (* z t) 3.0)))

simplify463.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
0170993
1412961
21579813
done5000813

prune319.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 16.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.3b
(/ a (* b 3.0))
26.3b
(cos (/ (* z t) 3.0))
26.4b
(sin (/ (* z t) 3.0))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod add-log-exp
3×times-frac associate-*r/ associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv div-exp
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add clear-num associate-/r* cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 58
Calls
4 calls:
212.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
3.0ms
(/ a (* b 3.0))
1.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series241.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
18.0ms
(/ a (* b 3.0))
9.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (/ (* z t) 3.0))

simplify555.0ms

Counts
70 → 70
Iterations

Useful iterations: done (553.0ms)

IterNodesCost
01621246
14351219
217591025
done50001023

prune379.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
26.4b
(cos (* 0.3333333333333333 (* t z)))
26.4b
(sin (/ (* z t) 3.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod add-log-exp
3×times-frac associate-*r/ associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv div-exp
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add clear-num associate-/r* cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 58
Calls
4 calls:
3.0ms
(/ a (* b 3.0))
26.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms
(cos (* 0.3333333333333333 (* t z)))
1.0ms
(sin (/ (* z t) 3.0))

series238.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ a (* b 3.0))
193.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
9.0ms
(cos (* 0.3333333333333333 (* t z)))
18.0ms
(sin (/ (* z t) 3.0))

simplify569.0ms

Counts
70 → 70
Iterations

Useful iterations: done (567.0ms)

IterNodesCost
01651246
14401219
217751025
done50001023

prune431.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.3b
(* (/ 1 b) (/ a 3.0))
26.4b
(cos (* 0.3333333333333333 (* t z)))
26.4b
(sin (/ (* z t) 3.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×add-exp-log
25×times-frac
21×*-un-lft-identity add-cbrt-cube
19×add-cube-cbrt
16×associate-*r*
14×associate-*l*
11×pow1 prod-exp
8×div-exp
7×cbrt-unprod
6×unswap-sqr
4×cbrt-undiv associate-*r/ pow-prod-down add-log-exp
2×rec-exp 1-exp *-commutative div-inv
1×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*l/ frac-add cos-mult flip-+ sin-mult
Counts
4 → 93
Calls
4 calls:
27.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
18.0ms
(* (/ 1 b) (/ a 3.0))
4.0ms
(cos (* 0.3333333333333333 (* t z)))
1.0ms
(sin (/ (* z t) 3.0))

series241.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
16.0ms
(* (/ 1 b) (/ a 3.0))
10.0ms
(cos (* 0.3333333333333333 (* t z)))
16.0ms
(sin (/ (* z t) 3.0))

simplify984.0ms

Counts
105 → 105
Iterations

Useful iterations: done (982.0ms)

IterNodesCost
02341694
16721566
227381296
done50011294

prune495.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 16.8b

regimes2.8s

Accuracy

35.6% (2.3b remaining)

Error of 18.9b against oracle of 16.5b and baseline of 20.2b

bsearch233.0ms

Steps
ItersRangePoint
9
4.768959137225491e-24
2.7664650876626605e-17
2.4348734333899417e-18
8
-127575.43791052715
-2.650090642608748
-2.711112522981125

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05080
16380
26480
done6480

end0.0ms

sample3.0s

Algorithm
intervals
Results
646.0ms1557×body1280valid
631.0ms9074×body80nan
360.0ms5663×body80valid
258.0ms924×body640valid
250.0ms373×body2560valid
87.0ms430×body320valid
28.0ms195×body160valid