Details

Time bar (total: 3.4s)

sample22.0ms

Algorithm
intervals
Results
7.0ms282×body80valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0185
1335
2585
31015
41455
51785
62045
72645
83525
94415
107075
119065
1210225
1310445
1410445
done10445

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
13.1b
(/ (* y (- z t)) (- z a))

rewrite63.0ms

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:
18.0ms
(+ x (/ (* y (- z t)) (- z a)))
22.0ms
(* y (- z t))
21.0ms
(/ (* y (- z t)) (- z a))

series183.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(+ x (/ (* y (- z t)) (- z a)))
35.0ms
(* y (- z t))
67.0ms
(/ (* y (- z t)) (- z a))

simplify41.0ms

Counts
76 → 76
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0337381
11443342
25002342
done5002342

prune161.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 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))
2.2b
(/ y (/ (- z a) (- z t)))

rewrite115.0ms

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:
57.0ms
(+ x (/ y (/ (- z a) (- z t))))
20.0ms
(/ (- z a) (- z t))
25.0ms
(/ y (/ (- z a) (- z t)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ x (/ y (/ (- z a) (- z t))))
43.0ms
(/ (- z a) (- z t))
117.0ms
(/ y (/ (- z a) (- z t)))

simplify78.0ms

Counts
215 → 215
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07021885
130691832
250021829
done50021829

prune458.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (* (- z a) (/ 1 (- z t)))))
0.0b
(/ 1 (- z t))
0.2b
(* (- z a) (/ 1 (- z t)))
2.2b
(/ y (* (- z a) (/ 1 (- z t))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
35×times-frac
32×add-exp-log
26×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
11×div-exp
10×associate-/r/
prod-exp distribute-lft-out-- difference-of-squares
pow1
cbrt-undiv flip3-- associate-/r* flip-- associate-/l* add-log-exp
associate-*l*
frac-times associate-*l/ cbrt-unprod
rec-exp 1-exp div-inv unswap-sqr
frac-2neg associate-*r/ clear-num un-div-inv
+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out inv-pow
Counts
4 → 134
Calls
4 calls:
18.0ms
(+ x (/ y (* (- z a) (/ 1 (- z t)))))
11.0ms
(/ 1 (- z t))
44.0ms
(* (- z a) (/ 1 (- z t)))
19.0ms
(/ y (* (- z a) (/ 1 (- z t))))

series279.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ x (/ y (* (- z a) (/ 1 (- z t)))))
36.0ms
(/ 1 (- z t))
43.0ms
(* (- z a) (/ 1 (- z t)))
112.0ms
(/ y (* (- z a) (/ 1 (- z t))))

simplify55.0ms

Counts
146 → 146
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0477827
12103713
25001666
done5001666

prune251.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
2.1b
(* y (/ (- z t) (- z a)))

rewrite72.0ms

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:
6.0ms
(+ x (* y (/ (- z t) (- z a))))
20.0ms
(/ (- z t) (- z a))
42.0ms
(* y (/ (- z t) (- z a)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ x (* y (/ (- z t) (- z a))))
46.0ms
(/ (- z t) (- z a))
68.0ms
(* y (/ (- z t) (- z a)))

simplify51.0ms

Counts
122 → 122
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423747
11655704
25001704
done5001704

prune240.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115
done115

end0.0ms

sample593.0ms

Algorithm
intervals
Results
243.0ms8772×body80valid
0.0msbody640valid
0.0msbody160valid
0.0msbody1280valid