Details

Time bar (total: 10.3s)

sample22.0ms

Algorithm
intervals
Results
9.0ms268×body80valid
1.0msbody1280valid

simplify638.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12213
23713
36113
49513
512613
615913
719113
824513
931613
1040413
1146513
1254513
1355813
done55813

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 60.0 (- x y))
0.0b
(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.3b
(/ (* 60.0 (- x y)) (- z t))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-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 associate-/l* unswap-sqr
Counts
3 → 66
Calls
3 calls:
10.0ms
(* 60.0 (- x y))
22.0ms
(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms
(/ (* 60.0 (- x y)) (- z t))

series228.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* 60.0 (- x y))
126.0ms
(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
65.0ms
(/ (* 60.0 (- x y)) (- z t))

simplify639.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
0138885
1367838
21373752
done5000752

prune207.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- x y))
0.0b
(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.6b
(/ 60.0 (/ (- z t) (- x y)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
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-+
Counts
3 → 205
Calls
3 calls:
11.0ms
(/ (- z t) (- x y))
79.0ms
(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
14.0ms
(/ 60.0 (/ (- z t) (- x y)))

series508.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- z t) (- x y))
155.0ms
(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
297.0ms
(/ 60.0 (/ (- z t) (- x y)))

simplify1.1s

Counts
214 → 214
Iterations

Useful iterations: 2 (283.0ms)

IterNodesCost
03003766
17283523
227243409
done50013409

prune812.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.0b
(/ (- x y) (- z t))
0.3b
(* 60.0 (/ (- x y) (- z t)))

rewrite53.0ms

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:
8.0ms
(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
11.0ms
(/ (- x y) (- z t))
27.0ms
(* 60.0 (/ (- x y) (- z t)))

series240.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
51.0ms
(/ (- x y) (- z t))
66.0ms
(* 60.0 (/ (- x y) (- z t)))

simplify784.0ms

Counts
122 → 122
Iterations

Useful iterations: done (780.0ms)

IterNodesCost
01701605
14491510
214641416
done50021410

prune316.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 (/ (/ (- z t) (- x y)) 60.0)) (* a 120.0))
0.0b
(/ (- z t) (- x y))
0.2b
(/ (/ (- z t) (- x y)) 60.0)
0.6b
(/ 1 (/ (/ (- z t) (- x y)) 60.0))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
794×add-sqr-sqrt *-un-lft-identity
450×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
32×add-exp-log
23×div-inv
20×add-cbrt-cube
19×div-exp
18×flip3-- flip--
10×cbrt-undiv
add-log-exp
pow1
rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/
+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
4 → 622
Calls
4 calls:
194.0ms
(+ (/ 1 (/ (/ (- z t) (- x y)) 60.0)) (* a 120.0))
11.0ms
(/ (- z t) (- x y))
19.0ms
(/ (/ (- z t) (- x y)) 60.0)
33.0ms
(/ 1 (/ (/ (- z t) (- x y)) 60.0))

series578.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(+ (/ 1 (/ (/ (- z t) (- x y)) 60.0)) (* a 120.0))
56.0ms
(/ (- z t) (- x y))
59.0ms
(/ (/ (- z t) (- x y)) 60.0)
302.0ms
(/ 1 (/ (/ (- z t) (- x y)) 60.0))

simplify1.5s

Counts
634 → 634
Iterations

Useful iterations: done (1.5s)

IterNodesCost
073314241
1187012604
done500011318

prune1.2s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes423.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
11513
done1513

end0.0ms

sample552.0ms

Algorithm
intervals
Results
282.0ms8513×body80valid
6.0ms40×body1280valid
5.0ms24×body2560valid
5.0ms39×body640valid
2.0ms25×body320valid
1.0ms10×body160valid