Details

Time bar (total: 12.2s)

sample102.0ms

Algorithm
intervals
Results
20.0ms50×body1280valid
18.0ms273×body80nan
11.0ms171×body80valid
9.0ms13×body2560valid
8.0ms27×body640valid
6.0ms17×body320valid
1.0ms9×body160valid

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13219
25419
37419
48719
59019
done9019

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)))

rewrite29.0ms

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)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
94.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
38.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts
84 → 84
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
0170993
1404961
21372813
done5000813

prune338.0ms

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))

rewrite26.0ms

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:
18.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms
(/ a (* b 3.0))
1.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series246.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
21.0ms
(/ a (* b 3.0))
11.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (/ (* z t) 3.0))

simplify815.0ms

Counts
70 → 70
Iterations

Useful iterations: done (813.0ms)

IterNodesCost
01621246
14331219
216131025
done50001023

prune407.0ms

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
(/ 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))

series245.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ a (* b 3.0))
198.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
10.0ms
(cos (* 0.3333333333333333 (* t z)))
16.0ms
(sin (/ (* z t) 3.0))

simplify911.0ms

Counts
70 → 70
Iterations

Useful iterations: done (908.0ms)

IterNodesCost
01651246
14371219
216291025
done50001023

prune437.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (/ (* z t) 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))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×associate-*r/
2×*-commutative sin-mult
1×distribute-rgt-in distribute-lft-in flip3-+ frac-add cos-mult flip-+ unswap-sqr
Counts
4 → 56
Calls
4 calls:
6.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
28.0ms
(* (* 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))

series261.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
191.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
10.0ms
(cos (* 0.3333333333333333 (* t z)))
16.0ms
(sin (/ (* z t) 3.0))

simplify864.0ms

Counts
68 → 68
Iterations

Useful iterations: done (862.0ms)

IterNodesCost
01391329
13691284
214101102
done50001100

prune318.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 16.8b

regimes2.4s

Accuracy

35.9% (2.4b remaining)

Error of 18.8b against oracle of 16.5b and baseline of 20.1b

bsearch227.0ms

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

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05181
16581
done6581

end0.0ms

sample3.0s

Algorithm
intervals
Results
635.0ms1557×body1280valid
621.0ms9074×body80nan
356.0ms5663×body80valid
265.0ms924×body640valid
257.0ms373×body2560valid
90.0ms430×body320valid
30.0ms195×body160valid