Details

Time bar (total: 23.7s)

sample178.0ms

Algorithm
intervals
Results
59.0ms290×body80nan
26.0ms45×body1280valid
18.0ms198×body80valid
12.0ms29×body640valid
7.0ms7×body2560valid
3.0ms11×body320valid
1.0ms7×body160valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
13219
25419
37519
48719
58919
done8919

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b
(/ a (* b 3.0))
20.9b
(cos (- y (/ (* z t) 3.0)))

rewrite111.0ms

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:
19.0ms
(/ (* z t) 3.0)
52.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
12.0ms
(/ a (* b 3.0))
24.0ms
(cos (- y (/ (* z t) 3.0)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* z t) 3.0)
132.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
28.0ms
(/ a (* b 3.0))
58.0ms
(cos (- y (/ (* z t) 3.0)))

simplify3.0s

Counts
84 → 84
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
0170993
1399961
21327813
34801813
done5000813

prune498.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* b 3.0))
0.3b
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.4b
(/ t (cbrt 3.0))
20.6b
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
49×times-frac
36×add-cube-cbrt *-un-lft-identity
32×add-exp-log
24×add-cbrt-cube
23×cbrt-prod
22×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* associate-/r*
6×pow1 associate-/l* unswap-sqr
4×div-inv add-log-exp
2×cos-sum frac-2neg clear-num
1×cos-diff frac-times sub-neg associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 129
Calls
4 calls:
12.0ms
(/ a (* b 3.0))
73.0ms
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
9.0ms
(/ t (cbrt 3.0))
15.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series316.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ a (* b 3.0))
99.0ms
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
68.0ms
(/ t (cbrt 3.0))
130.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify1.7s

Counts
141 → 141
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02241850
15431780
220001458
done50001329

prune870.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 13.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ a b) 3.0)
0.3b
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.4b
(/ t (cbrt 3.0))
20.6b
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
121×times-frac
92×add-sqr-sqrt
76×add-cube-cbrt *-un-lft-identity
32×add-exp-log
24×add-cbrt-cube
23×cbrt-prod
22×associate-*r*
16×associate-/l*
11×cbrt-undiv div-exp
9×associate-/r*
8×prod-exp cbrt-unprod div-inv
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
2×cos-sum frac-2neg clear-num
1×cos-diff frac-times sub-neg associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 178
Calls
4 calls:
11.0ms
(/ (/ a b) 3.0)
52.0ms
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
6.0ms
(/ t (cbrt 3.0))
10.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series332.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (/ a b) 3.0)
99.0ms
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
70.0ms
(/ t (cbrt 3.0))
136.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify1.9s

Counts
190 → 190
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03212527
17592411
223932087
done50011958

prune1.0s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 13.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 b) 3.0)
0.3b
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.4b
(/ t (cbrt 3.0))
20.6b
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
121×times-frac
92×add-sqr-sqrt
76×add-cube-cbrt *-un-lft-identity
36×add-exp-log
24×add-cbrt-cube
23×cbrt-prod
22×associate-*r*
16×associate-/l*
14×div-exp
11×cbrt-undiv
9×associate-/r*
8×prod-exp cbrt-unprod div-inv
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
2×cos-sum frac-2neg clear-num
1×cos-diff frac-times sub-neg rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 180
Calls
4 calls:
15.0ms
(/ (/ 1 b) 3.0)
57.0ms
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
16.0ms
(/ t (cbrt 3.0))
13.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (/ 1 b) 3.0)
101.0ms
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
77.0ms
(/ t (cbrt 3.0))
133.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify1.8s

Counts
192 → 192
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03142534
17332343
221601996
done50001867

prune915.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 13.5b

regimes3.4s

Accuracy

55% (2.0b remaining)

Error of 18.3b against oracle of 16.4b and baseline of 20.7b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04059
15059
done5059

end0.0ms

sample6.5s

Algorithm
intervals
Results
1.4s1644×body1280valid
1.2s9310×body80nan
1.1s5609×body80valid
760.0ms366×body2560valid
553.0ms909×body640valid
128.0ms412×body320valid
45.0ms217×body160valid