Details

Time bar (total: 5.7s)

sample24.0ms

Algorithm
intervals
Results
10.0ms280×body80valid

simplify219.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51869
62249
72399
82429
done2429

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.1b
(/ (* x 2.0) (* z (- y t)))

rewrite44.0ms

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:
23.0ms
(* z (- y t))
18.0ms
(/ (* x 2.0) (* z (- y t)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* z (- y t))
53.0ms
(/ (* x 2.0) (* z (- y t)))

simplify721.0ms

Counts
77 → 77
Iterations

Useful iterations: done (719.0ms)

IterNodesCost
01451080
1324905
21205699
done5000675

prune116.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.4b
(/ 1 (/ (* z (- y t)) (* x 2.0)))
6.0b
(/ (* z (- y t)) (* x 2.0))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
35×add-cbrt-cube
31×add-sqr-sqrt
29×*-un-lft-identity
27×add-cube-cbrt
26×div-exp
20×times-frac
18×prod-diff
17×prod-exp
13×cbrt-undiv
11×distribute-rgt-in distribute-lft-in
9×cbrt-unprod
6×pow1 associate-/r* div-inv
5×rec-exp 1-exp associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-flip pow-prod-down associate-/r/ *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 129
Calls
3 calls:
25.0ms
(* z (- y t))
25.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
24.0ms
(/ (* z (- y t)) (* x 2.0))

series207.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* z (- y t))
99.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
72.0ms
(/ (* z (- y t)) (* x 2.0))

simplify763.0ms

Counts
138 → 138
Iterations

Useful iterations: done (760.0ms)

IterNodesCost
02232104
15101793
217811423
done50021387

prune180.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.5b
(/ 1 (* z (- y t)))
6.0b
(* (/ 1 (* z (- y t))) (* x 2.0))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
25×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
13×pow1 cbrt-unprod
12×div-exp associate-*l*
11×distribute-rgt-in distribute-lft-in
6×cbrt-undiv rec-exp times-frac 1-exp associate-*r/ associate-*r*
5×pow-prod-down
4×associate-/r/
3×expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l* add-log-exp
2×sub-neg pow-flip *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
24.0ms
(* z (- y t))
19.0ms
(/ 1 (* z (- y t)))
71.0ms
(* (/ 1 (* z (- y t))) (* x 2.0))

series163.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* z (- y t))
27.0ms
(/ 1 (* z (- y t)))
99.0ms
(* (/ 1 (* z (- y t))) (* x 2.0))

simplify837.0ms

Counts
130 → 130
Iterations

Useful iterations: done (834.0ms)

IterNodesCost
01971707
14261386
213171088
done50001064

prune188.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.1b
(/ (/ (* x 2.0) z) (- y t))

rewrite26.0ms

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:
22.0ms
(/ (/ (* x 2.0) z) (- y t))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify842.0ms

Counts
71 → 71
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
01471093
13711045
21163971
done5000971

prune151.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes232.0ms

Accuracy

47.9% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 5.7b

bsearch64.0ms

Steps
ItersRangePoint
8
8.474771072676942e+81
2.858167048617583e+86
8.697575599925425e+81
9
-1.5363030971934703e+144
-2.4882870722039588e+138
-5.646136584525686e+138

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01735
12227
done2227

end0.0ms

sample562.0ms

Algorithm
intervals
Results
245.0ms8734×body80valid