Details

Time bar (total: 10.2s)

sample28.0ms

Algorithm
intervals
Results
11.0ms274×body80valid

simplify281.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51929
62389
72659
82729
done2729

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.6b
(/ (* x 2.0) (* z (- y t)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
28.0ms
(* z (- y t))
19.0ms
(/ (* x 2.0) (* z (- y t)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* z (- y t))
55.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01451080
1371911
22010719
done5000689

prune270.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (/ (* x 2.0) z) (- y t))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
37×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×div-inv associate-/l*
5×cbrt-undiv div-exp associate-/r*
2×associate-/r/
1×pow1 expm1-log1p-u flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 68
Calls
1 calls:
39.0ms
(/ (/ (* x 2.0) z) (- y t))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: 2 (242.0ms)

IterNodesCost
01471093
13851045
21878981
done5002981

prune249.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
5.9b
(* x (/ (/ 2.0 z) (- y t)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 197
Calls
2 calls:
34.0ms
(/ (/ 2.0 z) (- y t))
72.0ms
(* x (/ (/ 2.0 z) (- y t)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (/ 2.0 z) (- y t))
58.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify1.8s

Counts
203 → 203
Iterations

Useful iterations: 2 (655.0ms)

IterNodesCost
02782857
17812670
235942560
done50002560

prune742.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
5.9b
(/ (- y t) (/ (* x 2.0) z))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
373×times-frac
207×add-sqr-sqrt *-un-lft-identity
135×add-cube-cbrt
47×associate-/r*
45×add-exp-log
36×distribute-lft-out-- difference-of-squares
32×div-inv
28×div-exp
25×add-cbrt-cube
14×cbrt-undiv
8×associate-/l*
6×associate-/r/
4×rec-exp 1-exp prod-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 263
Calls
2 calls:
50.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
23.0ms
(/ (- y t) (/ (* x 2.0) z))

series324.0ms

Counts
2 → 6
Calls
2 calls:
202.0ms
(/ 1 (/ (- y t) (/ (* x 2.0) z)))
121.0ms
(/ (- y t) (/ (* x 2.0) z))

simplify899.0ms

Counts
269 → 269
Iterations

Useful iterations: done (883.0ms)

IterNodesCost
03805211
111324525
done50004337

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes272.0ms

Accuracy

61.8% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 6.2b

bsearch78.0ms

Steps
ItersRangePoint
7
2.1578007639646556e-39
6.8410550143029e-38
6.749469156544846e-38
2
-2.431490042894291e-08
-2.0869213830822955e-08
-2.302276795464793e-08

simplify20.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02346
13734
23934
done3934

end0.0ms

sample1.2s

Algorithm
intervals
Results
550.0ms8744×body80valid