Details

Time bar (total: 16.5s)

sample44.0ms

Algorithm
intervals
Results
27.0ms329×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5001
113881
101313
9507
8252
7161
6132
5111
487
355
231
114
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
10.6b
(* (/ x y) (- z t))

rewrite65.0ms

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:
23.0ms
(+ (* (/ x y) (- z t)) t)
41.0ms
(* (/ x y) (- z t))

series163.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* (/ x y) (- z t)) t)
97.0ms
(* (/ x y) (- z t))

simplify2.7s

Counts
65 → 65
Iterations
IterNodes
done5002
34374
21068
1330
0124

prune357.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (/ (* x z) y) (/ (* t x) y)) t)
4.4b
(/ (* t x) y)
4.5b
(/ (* x z) y)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
12×*-un-lft-identity
8×add-log-exp
7×add-sqr-sqrt add-cube-cbrt
6×associate-/r* times-frac
4×cbrt-undiv div-exp
3×pow1 insert-posit16
2×associate-+l+ clear-num sum-log frac-2neg prod-exp cbrt-unprod div-inv distribute-lft-out associate-/l*
1×+-commutative sub-neg flip3-+ diff-log associate-+l- flip-+ distribute-lft-out--
Counts
3 → 62
Calls
3 calls:
83.0ms
(+ (- (/ (* x z) y) (/ (* t x) y)) t)
9.0ms
(/ (* t x) y)
9.0ms
(/ (* x z) y)

series135.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ (- (/ (* x z) y) (/ (* t x) y)) t)
37.0ms
(/ (* t x) y)
33.0ms
(/ (* x z) y)

simplify1.4s

Counts
71 → 71
Iterations
IterNodes
done5002
21253
1314
0115

prune353.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(* (/ (cbrt x) y) (- z t))
3.0b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×frac-times pow1 associate-*r/
10×distribute-rgt-in cbrt-undiv distribute-lft-in
6×sub-neg flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ insert-posit16 add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 139
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
38.0ms
(* (/ (cbrt x) y) (- z t))
73.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series893.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt x)
269.0ms
(cbrt x)
219.0ms
(* (/ (cbrt x) y) (- z t))
117.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify2.0s

Counts
151 → 151
Iterations
IterNodes
done5001
22335
1691
0227

prune710.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (/ (* x z) y) (/ t (/ y x))) t)
4.5b
(/ (* x z) y)
7.5b
(/ t (/ y x))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
52×*-un-lft-identity
47×add-sqr-sqrt add-cube-cbrt
16×associate-/r*
13×add-cbrt-cube add-exp-log
8×add-log-exp
6×div-inv
5×cbrt-undiv div-exp
4×associate-/l*
3×pow1 insert-posit16
2×associate-+l+ clear-num sum-log frac-2neg distribute-lft-out
1×+-commutative sub-neg flip3-+ diff-log prod-exp associate-/r/ associate-+l- cbrt-unprod flip-+ distribute-lft-out--
Counts
3 → 111
Calls
3 calls:
86.0ms
(+ (- (/ (* x z) y) (/ t (/ y x))) t)
17.0ms
(/ (* x z) y)
6.0ms
(/ t (/ y x))

series129.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ (- (/ (* x z) y) (/ t (/ y x))) t)
33.0ms
(/ (* x z) y)
33.0ms
(/ t (/ y x))

simplify1.5s

Counts
120 → 120
Iterations
IterNodes
done5000
22037
1554
0219

prune517.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes278.0ms

Accuracy

13.4% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch142.0ms

Steps
ItersRangePoint
10
1.0557140695987437e+80
1.1157287899299547e+91
1.0663057389610308e+80
8
-7.031908089210839e+117
-2.552279280824353e+115
-1.0528328207751368e+116

simplify4.0ms

Iterations
IterNodes
done31
131
022

end0.0ms

sample1.3s

Algorithm
intervals
Results
996.0ms10610×body80valid