Details

Time bar (total: 7.6s)

sample46.0ms

Algorithm
intervals
Results
19.0ms272×body80valid

simplify337.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51929
62389
72659
82729
done2729

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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:
47.0ms
(* z (- y t))
37.0ms
(/ (* x 2.0) (* z (- y t)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* z (- y t))
90.0ms
(/ (* x 2.0) (* z (- y t)))

simplify925.0ms

Counts
77 → 77
Iterations

Useful iterations: done (922.0ms)

IterNodesCost
01451080
1371911
22010719
done5000689

prune225.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite56.0ms

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:
43.0ms
(/ (/ (* x 2.0) z) (- y t))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: 2 (305.0ms)

IterNodesCost
01471093
13851045
21878981
done5002981

prune239.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:
35.0ms
(* (- y t) z)
27.0ms
(/ (* x 2.0) (* (- y t) z))

series150.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y t) z)
112.0ms
(/ (* x 2.0) (* (- y t) z))

simplify742.0ms

Counts
55 → 55
Iterations

Useful iterations: done (739.0ms)

IterNodesCost
093558
1251547
21462443
done5000433

prune173.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

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:
34.0ms
(/ (* x 2.0) (- y t))
57.0ms
(/ (/ (* x 2.0) (- y t)) z)

series140.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (* x 2.0) (- y t))
92.0ms
(/ (/ (* x 2.0) (- y t)) z)

simplify986.0ms

Counts
101 → 101
Iterations

Useful iterations: done (982.0ms)

IterNodesCost
01691373
14251308
221251210
done50001198

prune365.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes348.0ms

Accuracy

57.5% (2.3b remaining)

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

bsearch55.0ms

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

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01835
12427
done2427

end0.0ms

sample1.1s

Algorithm
intervals
Results
540.0ms8724×body80valid