Details

Time bar (total: 32.3s)

sample149.0ms

Algorithm
intervals
Results
32.0ms56×body1280valid
32.0ms268×body80nan
16.0ms168×body80valid
14.0ms13×body2560valid
12.0ms26×body640valid
4.0ms14×body320valid
2.0ms8×body160valid

simplify146.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
018428
132428
250428
367428
478428
584428
686428
done86428

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.2b

localize38.0ms

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))))
22.0b
(cos (- y (/ (* z t) 3.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
9×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-/r* div-exp associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum clear-num frac-2neg 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)
6.0ms
(/ a (* b 3.0))
21.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
12.0ms
(cos (- y (/ (* z t) 3.0)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* z t) 3.0)
23.0ms
(/ a (* b 3.0))
122.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
40.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.7s

Counts
84 → 84
Iterations

Useful iterations: done (1.7s)

IterNodesCost
017020478
142019143
2135318703
done500018343

prune896.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 16.9b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.3333333333333333 (* t z))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (* 0.3333333333333333 (* t z)))))
0.2b
(/ a (* b 3.0))
22.1b
(cos (- y (* 0.3333333333333333 (* t z))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
14×pow1
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×prod-exp cbrt-unprod
6×pow-prod-down
4×associate-*r* associate-*l* add-log-exp
3×cos-diff times-frac associate-/l*
2×cbrt-undiv cos-sum div-exp *-commutative
1×distribute-rgt-in clear-num associate-/r* sub-neg frac-2neg distribute-lft-in div-inv
Counts
4 → 69
Calls
4 calls:
22.0ms
(* 0.3333333333333333 (* t z))
39.0ms
(* (* 2.0 (sqrt x)) (cos (- y (* 0.3333333333333333 (* t z)))))
11.0ms
(/ a (* b 3.0))
21.0ms
(cos (- y (* 0.3333333333333333 (* t z))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 0.3333333333333333 (* t z))
166.0ms
(* (* 2.0 (sqrt x)) (cos (- y (* 0.3333333333333333 (* t z)))))
36.0ms
(/ a (* b 3.0))
67.0ms
(cos (- y (* 0.3333333333333333 (* t z))))

simplify3.6s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
015719824
138718571
2116417891
3410117771
done500017771

prune1.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.8b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
0.2b
(/ a (* b 3.0))
27.5b
(sin (* 0.3333333333333333 (* t z)))
27.6b
(cos (* 0.3333333333333333 (* t z)))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
9×pow1
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×prod-exp cbrt-unprod add-log-exp
3×times-frac associate-*r* pow-prod-down associate-*r/ associate-/l*
2×cbrt-undiv div-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 58
Calls
4 calls:
141.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
6.0ms
(/ a (* b 3.0))
13.0ms
(sin (* 0.3333333333333333 (* t z)))
19.0ms
(cos (* 0.3333333333333333 (* t z)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
21.0ms
(/ a (* b 3.0))
27.0ms
(sin (* 0.3333333333333333 (* t z)))
20.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify3.0s

Counts
70 → 70
Iterations

Useful iterations: done (2.9s)

IterNodesCost
015823819
143722686
2172022206
done500422086

prune1.0s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.7b

localize118.0ms

Local error

Found 4 expressions with local error:

27.5b
(sin (* 0.3333333333333333 (* t z)))
27.5b
(sin (* 0.3333333333333333 (* t z)))
27.5b
(sin (* 0.3333333333333333 (* t z)))
27.6b
(cos (* 0.3333333333333333 (* t z)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
Counts
4 → 28
Calls
4 calls:
13.0ms
(sin (* 0.3333333333333333 (* t z)))
25.0ms
(sin (* 0.3333333333333333 (* t z)))
25.0ms
(sin (* 0.3333333333333333 (* t z)))
33.0ms
(cos (* 0.3333333333333333 (* t z)))

series74.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sin (* 0.3333333333333333 (* t z)))
22.0ms
(sin (* 0.3333333333333333 (* t z)))
20.0ms
(sin (* 0.3333333333333333 (* t z)))
13.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify4.5s

Counts
40 → 40
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227398
1307398
2397398
3477398
4627398
5997398
61697398
73487398
88707398
929117398
done50017398

prune501.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.7b

regimes6.1s

Accuracy

59.4% (1.5b remaining)

Error of 17.7b against oracle of 16.1b and baseline of 19.9b

bsearch3.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0401282
1511282
done511282

end0.0ms

sample7.7s

Algorithm
intervals
Results
2.1s9108×body80nan
1.7s1546×body1280valid
1.5s5689×body80valid
598.0ms961×body640valid
544.0ms377×body2560valid
203.0ms412×body320valid
49.0ms189×body160valid