Details

Time bar (total: 10.7s)

sample59.0ms

Algorithm
intervals
Results
35.0ms345×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done2000
151990
141662
131313
12944
11612
10421
9272
8188
7154
6133
5108
473
341
224
115
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
8.5b
(/ (* y (- z t)) a)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* times-frac associate-*l* insert-posit16
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
14.0ms
(+ x (/ (* y (- z t)) a))
28.0ms
(* y (- z t))
27.0ms
(/ (* y (- z t)) a)

series234.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ x (/ (* y (- z t)) a))
62.0ms
(* y (- z t))
92.0ms
(/ (* y (- z t)) a)

simplify592.0ms

Counts
73 → 73
Iterations
IterNodes
done2001
2891
1313
0119

prune342.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y a) (- z t)) x)
6.9b
(* (/ y a) (- z t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×distribute-rgt-in pow1 associate-+l+ sub-neg distribute-lft-in add-log-exp
2×frac-times flip3-- prod-exp associate-*r/ cbrt-unprod insert-posit16 flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 59
Calls
2 calls:
16.0ms
(+ (* (/ y a) (- z t)) x)
19.0ms
(* (/ y a) (- z t))

series140.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* (/ y a) (- z t)) x)
79.0ms
(* (/ y a) (- z t))

simplify758.0ms

Counts
65 → 65
Iterations
IterNodes
done2000
21079
1333
0125

prune324.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (/ z (/ a y)) (/ t (/ a y))) x)
0.0b
(- (/ z (/ a y)) (/ t (/ a y)))
5.1b
(/ t (/ a y))
6.1b
(/ z (/ a y))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
212×times-frac
138×add-sqr-sqrt
135×*-un-lft-identity
102×add-cube-cbrt
26×associate-/r*
15×distribute-lft-out--
14×add-cbrt-cube add-exp-log div-inv
11×add-log-exp
9×difference-of-squares
6×cbrt-undiv div-exp associate-/l*
4×pow1 associate-/r/ insert-posit16
2×associate-+l+ clear-num sum-log sub-neg frac-2neg distribute-rgt-out-- diff-log distribute-lft-out
1×+-commutative flip3-+ flip3-- frac-sub associate-+l- flip-+ flip-- sub-div
Counts
4 → 200
Calls
4 calls:
113.0ms
(+ (- (/ z (/ a y)) (/ t (/ a y))) x)
23.0ms
(- (/ z (/ a y)) (/ t (/ a y)))
5.0ms
(/ t (/ a y))
6.0ms
(/ z (/ a y))

series170.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ (- (/ z (/ a y)) (/ t (/ a y))) x)
55.0ms
(- (/ z (/ a y)) (/ t (/ a y)))
26.0ms
(/ t (/ a y))
26.0ms
(/ z (/ a y))

simplify536.0ms

Counts
212 → 212
Iterations
IterNodes
done2001
1829
0329

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

6.1b
(/ z (/ a y))
11.6b
(cbrt (/ z (/ a y)))
11.6b
(cbrt (/ z (/ a y)))
11.6b
(cbrt (/ z (/ a y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
273×times-frac
151×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
132×cbrt-prod
17×div-inv
13×associate-/r*
9×add-cbrt-cube add-exp-log
4×pow1 associate-/r/ insert-posit16 add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp associate-/l*
1×clear-num frac-2neg
Counts
4 → 233
Calls
4 calls:
9.0ms
(/ z (/ a y))
3.0ms
(cbrt (/ z (/ a y)))
3.0ms
(cbrt (/ z (/ a y)))
3.0ms
(cbrt (/ z (/ a y)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ z (/ a y))
119.0ms
(cbrt (/ z (/ a y)))
123.0ms
(cbrt (/ z (/ a y)))
102.0ms
(cbrt (/ z (/ a y)))

simplify828.0ms

Counts
245 → 245
Iterations
IterNodes
done2001
21321
1511
0261

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes474.0ms

Accuracy

70.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.3b

bsearch88.0ms

Steps
ItersRangePoint
5
3.694433286626098e-35
1.1818147898444562e-34
1.156346486413499e-34
9
-2.1664976836902173e-51
-1.533400212308845e-56
-2.0994806737492123e-51

simplify14.0ms

Iterations
IterNodes
done36
336
235
131
021

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s10688×body80valid