Details

Time bar (total: 6.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify161.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3879
41319
51789
62189
72369
82399
done2399

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.6b
(/ (* x 2.0) (* z (- y t)))

rewrite22.0ms

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:
39.0ms
(* z (- y t))
44.0ms
(/ (* x 2.0) (* z (- y t)))

simplify844.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
01451080
1335905
21587681
done5000681

prune125.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y t) z)
4.6b
(/ (* 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:
10.0ms
(* (- y t) z)
7.0ms
(/ (* x 2.0) (* (- y t) z))

series106.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y t) z)
75.0ms
(/ (* x 2.0) (* (- y t) z))

simplify446.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
093558
1254547
21277433
done5000433

prune112.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.9b
(/ 1 (* z (- y t)))
4.2b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite56.0ms

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
14×associate-*r*
13×pow1 cbrt-unprod
12×div-exp
11×distribute-rgt-in distribute-lft-in
7×associate-*r/
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* 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 clear-num associate-/r* un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 122
Calls
3 calls:
12.0ms
(* z (- y t))
8.0ms
(/ 1 (* z (- y t)))
30.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series106.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* z (- y t))
25.0ms
(/ 1 (* z (- y t)))
47.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify1.1s

Counts
131 → 131
Iterations

Useful iterations: 2 (170.0ms)

IterNodesCost
01931709
14701396
219141068
done50011068

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (- y t))
4.2b
(* (* x 2.0) (/ (/ 1 z) (- y t)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
161×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
71×associate-*r*
46×add-exp-log
28×add-cbrt-cube
27×distribute-lft-out-- difference-of-squares
18×div-exp
15×prod-exp
13×div-inv associate-/l*
9×cbrt-undiv cbrt-unprod
7×pow1
5×associate-/r*
4×associate-/r/
3×rec-exp 1-exp pow-prod-down
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 205
Calls
2 calls:
10.0ms
(/ (/ 1 z) (- y t))
30.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (/ 1 z) (- y t))
48.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

simplify1.9s

Counts
211 → 211
Iterations

Useful iterations: 2 (336.0ms)

IterNodesCost
02793193
18692771
234142408
done50002408

prune335.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

33% (3.3b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 5.0b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02037
12437
22537
done2537

end0.0ms

sample494.0ms

Algorithm
intervals
Results
259.0ms8737×body80valid