Details

Time bar (total: 7.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms283×body80valid

simplify455.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11811
23311
35711
49111
512611
615311
717811
822211
928811
1037711
1142311
1250111
1352311
done52311

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) (- z a)))
11.0b
(/ (* y (- z t)) (- z a))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 times-frac associate-*r* associate-/r* add-log-exp
associate-*r/
flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 67
Calls
3 calls:
10.0ms
(* y (- z t))
11.0ms
(+ x (/ (* y (- z t)) (- z a)))
10.0ms
(/ (* y (- z t)) (- z a))

series174.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z t))
75.0ms
(+ x (/ (* y (- z t)) (- z a)))
65.0ms
(/ (* y (- z t)) (- z a))

simplify1.7s

Counts
76 → 76
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0128846
1337793
21039715
34333715
done5000713

prune169.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- z a) (- z t))))
0.0b
(/ (- z a) (- z t))
2.3b
(/ y (/ (- z a) (- z t)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
197×*-un-lft-identity
195×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
associate-/l*
flip3-- flip-- div-inv
add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num associate-/l/
+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 206
Calls
3 calls:
47.0ms
(+ x (/ y (/ (- z a) (- z t))))
11.0ms
(/ (- z a) (- z t))
15.0ms
(/ y (/ (- z a) (- z t)))

series235.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ x (/ y (/ (- z a) (- z t))))
41.0ms
(/ (- z a) (- z t))
115.0ms
(/ y (/ (- z a) (- z t)))

simplify858.0ms

Counts
215 → 215
Iterations

Useful iterations: 2 (293.0ms)

IterNodesCost
02923727
17033478
223773372
done50013372

prune502.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- z a))
0.0b
(+ x (* (/ y (- z a)) (- z t)))
11.1b
(* (/ y (- z a)) (- z t))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*l*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-*r* associate-/r* add-log-exp
distribute-rgt-in sub-neg associate-+r+ flip3-- distribute-lft-in associate-/r/ flip--
associate-/l*
cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
+-commutative frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 102
Calls
3 calls:
5.0ms
(/ y (- z a))
6.0ms
(+ x (* (/ y (- z a)) (- z t)))
24.0ms
(* (/ y (- z a)) (- z t))

series214.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ y (- z a))
78.0ms
(+ x (* (/ y (- z a)) (- z t)))
109.0ms
(* (/ y (- z a)) (- z t))

simplify1.9s

Counts
111 → 111
Iterations

Useful iterations: 2 (197.0ms)

IterNodesCost
01661289
14161232
213381152
349561152
done50001152

prune251.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

63.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.2b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01957
12547
done2547

end0.0ms

sample536.0ms

Algorithm
intervals
Results
275.0ms8764×body80valid
0.0msbody1280valid
0.0msbody640valid
0.0msbody320valid
0.0msbody160valid