Details

Time bar (total: 30.0s)

sample210.0ms

Algorithm
intervals
Results
72.0ms58×body1280valid
36.0ms303×body80nan
17.0ms173×body80valid
13.0ms29×body640valid
12.0ms12×body2560valid
4.0ms13×body320valid
1.0ms6×body160valid

simplify137.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13319
25819
38219
49719
510419
610619
done10619

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b
(/ (* z t) 3.0)
26.2b
(cos (- y (/ (* z t) 3.0)))

rewrite511.0ms

Algorithm
rewrite-expression-head
Rules
23×cos-sum
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×prod-diff
19×add-exp-log add-cbrt-cube
15×times-frac
9×pow1
5×prod-exp cbrt-unprod div-inv
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
14.0ms
(/ a (* b 3.0))
56.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms
(/ (* z t) 3.0)
419.0ms
(cos (- y (/ (* z t) 3.0)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ a (* b 3.0))
177.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.0ms
(/ (* z t) 3.0)
54.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.9s

Counts
113 → 113
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03272847
16662377
218661875
done50001638

prune628.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 17.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
0.3b
(/ t (sqrt 3.0))
0.3b
(/ z (sqrt 3.0))
25.9b
(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
84×times-frac
61×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
9×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l*
5×cos-sum
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×prod-diff
2×frac-2neg clear-num
1×cos-diff frac-times sub-neg associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 172
Calls
4 calls:
53.0ms
(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
7.0ms
(/ t (sqrt 3.0))
15.0ms
(/ z (sqrt 3.0))
19.0ms
(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

series718.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
102.0ms
(/ t (sqrt 3.0))
124.0ms
(/ z (sqrt 3.0))
283.0ms
(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

simplify2.0s

Counts
184 → 184
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02292296
15122139
215111815
done50001774

prune1.3s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 16.6b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (/ z (sqrt 3.0)) t) (/ 1 (sqrt 3.0)))
0.3b
(/ z (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))
26.1b
(cos (- y (* (* (/ z (sqrt 3.0)) t) (/ 1 (sqrt 3.0)))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
49×add-exp-log
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
33×sqrt-prod
29×add-cbrt-cube
22×associate-*r*
20×prod-exp
13×div-exp
12×associate-/r*
11×pow1
10×cbrt-unprod
7×cbrt-undiv
6×associate-/l*
5×cos-sum
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow-flip prod-diff pow-prod-down associate-*l/ div-inv
2×frac-2neg clear-num
1×cos-diff frac-times sub-neg sqrt-pow1 pow1/2 associate-*r/ associate-*l* un-div-inv *-commutative inv-pow
Counts
4 → 160
Calls
4 calls:
83.0ms
(* (* (/ z (sqrt 3.0)) t) (/ 1 (sqrt 3.0)))
16.0ms
(/ z (sqrt 3.0))
7.0ms
(/ 1 (sqrt 3.0))
11.0ms
(cos (- y (* (* (/ z (sqrt 3.0)) t) (/ 1 (sqrt 3.0)))))

series520.0ms

Counts
4 → 10
Calls
4 calls:
190.0ms
(* (* (/ z (sqrt 3.0)) t) (/ 1 (sqrt 3.0)))
78.0ms
(/ z (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))
252.0ms
(cos (- y (* (* (/ z (sqrt 3.0)) t) (/ 1 (sqrt 3.0)))))

simplify2.0s

Counts
170 → 170
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02322240
14811806
215661398
done50001369

prune1.2s

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 16.6b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))
26.1b
(cos (- y (* (* (* (/ z (sqrt 3.0)) t) (* (cbrt (/ 1 (sqrt 3.0))) (cbrt (/ 1 (sqrt 3.0))))) (cbrt (/ 1 (sqrt 3.0))))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
50×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×sqrt-prod
18×associate-/r*
16×add-exp-log
10×pow1 add-cbrt-cube
9×pow-flip associate-/l*
6×div-exp
5×cos-sum
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp frac-2neg sqrt-pow1 pow1/2 1-exp prod-diff clear-num div-inv inv-pow
1×cos-diff sub-neg
Counts
4 → 156
Calls
4 calls:
9.0ms
(/ 1 (sqrt 3.0))
15.0ms
(/ 1 (sqrt 3.0))
14.0ms
(/ 1 (sqrt 3.0))
11.0ms
(cos (- y (* (* (* (/ z (sqrt 3.0)) t) (* (cbrt (/ 1 (sqrt 3.0))) (cbrt (/ 1 (sqrt 3.0))))) (cbrt (/ 1 (sqrt 3.0))))))

series303.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))
303.0ms
(cos (- y (* (* (* (/ z (sqrt 3.0)) t) (* (cbrt (/ 1 (sqrt 3.0))) (cbrt (/ 1 (sqrt 3.0))))) (cbrt (/ 1 (sqrt 3.0))))))

simplify3.1s

Counts
162 → 162
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
01292243
12131929
23661731
39541448
427791112
done50001112

prune805.0ms

Pruning

31 alts after pruning (29 fresh and 2 done)

Merged error: 16.6b

regimes4.8s

Accuracy

53.6% (2.0b remaining)

Error of 18.1b against oracle of 16.1b and baseline of 20.5b

bsearch3.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
03884
15168
done5168

end0.0ms

sample9.2s

Algorithm
intervals
Results
2.7s9102×body80nan
2.2s1543×body1280valid
1.1s5701×body80valid
712.0ms926×body640valid
607.0ms390×body2560valid
171.0ms416×body320valid
52.0ms192×body160valid