Details

Time bar (total: 8.9s)

sample25.0ms

Algorithm
intervals
Results
11.0ms345×body80valid

simplify383.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1169
2329
3659
41389
52139
62679
72879
83419
94399
104469
done4469

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
5.9b
(/ (* y (- z t)) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
10.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series133.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- x (/ (* y (- z t)) a))
35.0ms
(* y (- z t))
50.0ms
(/ (* y (- z t)) a)

simplify1.7s

Counts
72 → 72
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0120760
1291717
2853639
33825627
done5000624

prune161.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (- z t) (/ a y)))
5.6b
(/ (- z t) (/ a y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
95×add-sqr-sqrt
88×*-un-lft-identity
58×add-cube-cbrt
17×difference-of-squares
15×distribute-lft-out--
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 flip3-- div-sub flip-- associate-/l/
1×sub-neg frac-2neg diff-log clear-num associate-/r/ associate--r-
Counts
2 → 118
Calls
2 calls:
29.0ms
(- x (/ (- z t) (/ a y)))
14.0ms
(/ (- z t) (/ a y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- x (/ (- z t) (/ a y)))
46.0ms
(/ (- z t) (/ a y))

simplify786.0ms

Counts
124 → 124
Iterations

Useful iterations: done (782.0ms)

IterNodesCost
02271984
16111846
218191774
done50011768

prune314.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- t z)))
5.6b
(* (/ y a) (- t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y a) (- t z)))
16.0ms
(* (/ y a) (- t z))

series104.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ x (* (/ y a) (- t z)))
56.0ms
(* (/ y a) (- t z))

simplify2.1s

Counts
63 → 63
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
0123723
1321691
21058619
34224619
done5000619

prune145.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- t z) a)))
0.0b
(/ (- t z) a)
3.4b
(* y (/ (- t z) a))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
2.0ms
(+ x (* y (/ (- t z) a)))
8.0ms
(/ (- t z) a)
16.0ms
(* y (/ (- t z) a))

series125.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ x (* y (/ (- t z) a)))
26.0ms
(/ (- t z) a)
48.0ms
(* y (/ (- t z) a))

simplify1.5s

Counts
96 → 96
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01391051
1345980
2951914
33409890
done5000889

prune191.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes228.0ms

Accuracy

-4.5% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.5b

bsearch71.0ms

Steps
ItersRangePoint
8
2.667056467527902e-151
5.525767292787017e-148
6.939075397429748e-149
8
-6.396913838347584e-156
-1.661443646813989e-159
-5.324908245937673e-158

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02437
13135
done3135

end0.0ms

sample638.0ms

Algorithm
intervals
Results
307.0ms10779×body80valid