Details

Time bar (total: 6.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms279×body80valid

simplify187.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3879
41319
51769
62149
72329
82359
done2359

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.4b
(/ (* x 2.0) (* z (- y t)))

rewrite26.0ms

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:
12.0ms
(* z (- y t))
7.0ms
(/ (* x 2.0) (* z (- y t)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* z (- y t))
46.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.3s

Counts
77 → 77
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01451080
1331905
21253699
done5001681

prune129.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y t) z)
4.4b
(/ (* x 2.0) (* (- y t) z))

rewrite19.0ms

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×expm1-log1p-u 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 → 49
Calls
2 calls:
11.0ms
(* (- y t) z)
7.0ms
(/ (* x 2.0) (* (- y t) z))

series107.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- y t) z)
77.0ms
(/ (* x 2.0) (* (- y t) z))

simplify881.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
093558
1251547
21211433
done5000433

prune117.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- y t))
3.6b
(/ (/ (* x 2.0) (- y t)) z)

rewrite21.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 95
Calls
2 calls:
6.0ms
(/ (* x 2.0) (- y t))
11.0ms
(/ (/ (* x 2.0) (- y t)) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (* x 2.0) (- y t))
75.0ms
(/ (/ (* x 2.0) (- y t)) z)

simplify840.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (178.0ms)

IterNodesCost
01691373
14141308
214761192
done50011192

prune237.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y t))
3.6b
(* (/ x (- y t)) (/ 2.0 z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*l*
16×add-exp-log add-cbrt-cube
13×associate-*r*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 99
Calls
2 calls:
5.0ms
(/ x (- y t))
22.0ms
(* (/ x (- y t)) (/ 2.0 z))

series108.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (- y t))
77.0ms
(* (/ x (- y t)) (/ 2.0 z))

simplify1.0s

Counts
105 → 105
Iterations

Useful iterations: 2 (227.0ms)

IterNodesCost
01631171
14411129
214141017
done50011017

prune232.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes250.0ms

Accuracy

55.4% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.5b

bsearch69.0ms

Steps
ItersRangePoint
8
3.9920367094066775e+70
1.3128586934298357e+74
3.071234821651189e+72
6
-1.3754745118843937e+46
-1.674724446095358e+45
-3.942523043744089e+45

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02135
12535
done2535

end0.0ms

sample533.0ms

Algorithm
intervals
Results
295.0ms8740×body80valid