Details

Time bar (total: 15.8s)

sample35.0ms

Algorithm
intervals
Results
14.0ms273×body80valid
0.0msbody160valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11811
23311
35811
410511
516711
622511
730811
848011
986411
10252411
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
11.2b
(/ (* y (- z t)) (- z a))

rewrite92.0ms

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:
28.0ms
(+ x (/ (* y (- z t)) (- z a)))
31.0ms
(* y (- z t))
31.0ms
(/ (* y (- z t)) (- z a))

series258.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(+ x (/ (* y (- z t)) (- z a)))
45.0ms
(* y (- z t))
80.0ms
(/ (* y (- z t)) (- z a))

simplify920.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (206.0ms)

IterNodesCost
0128846
1353793
21359715
done5001715

prune240.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- z a) (- z t))))
0.0b
(/ (- z a) (- z t))
2.0b
(/ y (/ (- z a) (- z t)))

rewrite158.0ms

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:
71.0ms
(+ x (/ y (/ (- z a) (- z t))))
38.0ms
(/ (- z a) (- z t))
28.0ms
(/ y (/ (- z a) (- z t)))

series366.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(+ x (/ y (/ (- z a) (- z t))))
69.0ms
(/ (- z a) (- z t))
181.0ms
(/ y (/ (- z a) (- z t)))

simplify1.8s

Counts
215 → 215
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02923727
18013518
240183378
done50013372

prune804.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
1.7b
(* y (/ (- z t) (- z a)))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l* add-log-exp
associate-/r/
flip3-- associate-*l* flip--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
17.0ms
(+ x (* y (/ (- z t) (- z a))))
374.0ms
(/ (- z t) (- z a))
68.0ms
(* y (/ (- z t) (- z a)))

series280.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(+ x (* y (/ (- z t) (- z a))))
66.0ms
(/ (- z t) (- z a))
104.0ms
(* y (/ (- z t) (- z a)))

simplify1.0s

Counts
122 → 122
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01621555
14481466
217851374
done50001368

prune415.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b
(/ 1 (- z a))
0.3b
(* (- z t) (/ 1 (- z a)))
1.7b
(* y (* (- z t) (/ 1 (- z a))))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
cbrt-unprod
flip3-- div-exp flip-- add-log-exp
associate-/r*
frac-times pow-prod-down associate-*l/ associate-/r/
cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
un-div-inv *-commutative div-inv
+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 130
Calls
4 calls:
20.0ms
(+ x (* y (* (- z t) (/ 1 (- z a)))))
28.0ms
(/ 1 (- z a))
73.0ms
(* (- z t) (/ 1 (- z a)))
99.0ms
(* y (* (- z t) (/ 1 (- z a))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ x (* y (* (- z t) (/ 1 (- z a)))))
56.0ms
(/ 1 (- z a))
82.0ms
(* (- z t) (/ 1 (- z a)))
97.0ms
(* y (* (- z t) (/ 1 (- z a))))

simplify4.2s

Counts
142 → 142
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01821728
14841527
231931234
done50001228

prune405.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.2s

Algorithm
intervals
Results
528.0ms8757×body80valid
0.0msbody320valid
0.0msbody160valid
0.0msbody640valid