Details

Time bar (total: 7.7s)

sample33.0ms

Algorithm
intervals
Results
14.0ms272×body80valid

simplify271.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51799
62129
72309
82349
done2349

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.0b
(/ (* x 2.0) (* z (- y t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- 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 → 49
Calls
2 calls:
25.0ms
(* z (- y t))
17.0ms
(/ (* x 2.0) (* z (- y t)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* z (- y t))
64.0ms
(/ (* x 2.0) (* z (- y t)))

simplify679.0ms

Counts
55 → 55
Iterations

Useful iterations: done (677.0ms)

IterNodesCost
093556
1260543
21413437
done5002427

prune130.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 66
Calls
1 calls:
37.0ms
(/ (/ (* x 2.0) z) (- y t))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.0s

Counts
69 → 69
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01451073
13831025
21862961
done5000957

prune249.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y t) z)
6.0b
(/ (* x 2.0) (* (- y t) z))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt div-exp associate-*l/
3×associate-*r*
2×flip3-- associate-/r/ flip-- 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 → 45
Calls
2 calls:
22.0ms
(* (- y t) z)
28.0ms
(/ (* x 2.0) (* (- y t) z))

series566.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (- y t) z)
512.0ms
(/ (* x 2.0) (* (- y t) z))

simplify1.1s

Counts
51 → 51
Iterations

Useful iterations: done (1.1s)

IterNodesCost
089526
1249515
21464411
done5001401

prune170.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- y t))
4.7b
(/ (/ (* x 2.0) (- y t)) z)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
36×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
10×associate-/r/
8×associate-/r*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
5×flip3-- flip--
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 91
Calls
2 calls:
16.0ms
(/ (* x 2.0) (- y t))
51.0ms
(/ (/ (* x 2.0) (- y t)) z)

series184.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (* x 2.0) (- y t))
134.0ms
(/ (/ (* x 2.0) (- y t)) z)

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01651337
14201276
221171174
done50001166

prune282.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes253.0ms

Accuracy

57.3% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.4b

bsearch46.0ms

Steps
ItersRangePoint
4
1.4074213790390215e-27
2.2820188492885047e-27
1.9774916922282594e-27
3
-1.3377850317474812e+98
-1.1338304569119937e+98
-1.1465776178392118e+98

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01939
12729
done2729

end0.0ms

sample1.2s

Algorithm
intervals
Results
586.0ms8724×body80valid