Details

Time bar (total: 18.3s)

sample182.0ms

Algorithm
intervals
Results
53.0ms305×body80nan
29.0ms49×body1280valid
18.0ms191×body80valid
14.0ms12×body2560valid
9.0ms21×body640valid
5.0ms16×body320valid
1.0ms6×body160valid

simplify356.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13219
25419
37619
48919
59219
done9219

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.5b

localize21.0ms

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))))
25.9b
(cos (- y (/ (* z t) 3.0)))

rewrite74.0ms

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:
10.0ms
(/ (* z t) 3.0)
9.0ms
(/ a (* b 3.0))
36.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms
(cos (- y (/ (* z t) 3.0)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z t) 3.0)
26.0ms
(/ a (* b 3.0))
134.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
42.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0170993
1420965
21962821
done5001813

prune539.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 16.6b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.8b
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
30.5b
(cos (/ (* z t) 3.0))
31.1b
(sin (/ (* z t) 3.0))

rewrite152.0ms

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-*l* *-commutative
1×associate-*r/ associate-*l/ cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
59.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
77.0ms
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
5.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (/ (* z t) 3.0))

series348.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
180.0ms
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
14.0ms
(cos (/ (* z t) 3.0))
25.0ms
(sin (/ (* z t) 3.0))

simplify856.0ms

Counts
72 → 72
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
01301275
13471214
21443956
done5000928

prune466.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (/ (* z t) 3.0)))
2.8b
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
30.5b
(cos (* 0.3333333333333333 (* t z)))
31.1b
(sin (/ (* z t) 3.0))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×associate-*r* associate-*l* add-log-exp
2×*-commutative sin-mult
1×associate-*l/ unswap-sqr
Counts
4 → 56
Calls
4 calls:
22.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
63.0ms
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
18.0ms
(cos (* 0.3333333333333333 (* t z)))
4.0ms
(sin (/ (* z t) 3.0))

series256.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
167.0ms
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
16.0ms
(cos (* 0.3333333333333333 (* t z)))
24.0ms
(sin (/ (* z t) 3.0))

simplify680.0ms

Counts
68 → 68
Iterations

Useful iterations: done (677.0ms)

IterNodesCost
097987
1225954
2962778
done5000764

prune546.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.8b
(* (* (sin y) (sin (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
30.5b
(cos (* 0.3333333333333333 (* t z)))
30.8b
(sin (* 0.3333333333333333 (* t z)))

rewrite270.0ms

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-*l* *-commutative
1×associate-*r/ associate-*l/ cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
105.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
114.0ms
(* (* (sin y) (sin (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
25.0ms
(cos (* 0.3333333333333333 (* t z)))
23.0ms
(sin (* 0.3333333333333333 (* t z)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
201.0ms
(* (* (sin y) (sin (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
15.0ms
(cos (* 0.3333333333333333 (* t z)))
20.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify960.0ms

Counts
72 → 72
Iterations

Useful iterations: done (957.0ms)

IterNodesCost
01251275
13391214
21558960
done5000928

prune361.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.4b

regimes3.4s

Accuracy

50.4% (1.9b remaining)

Error of 18.2b against oracle of 16.3b and baseline of 20.1b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04386
15869
done5869

end0.0ms

sample6.9s

Algorithm
intervals
Results
2.0s9370×body80nan
1.5s1570×body1280valid
895.0ms5645×body80valid
476.0ms917×body640valid
402.0ms375×body2560valid
163.0ms432×body320valid
44.0ms205×body160valid