Details

Time bar (total: 9.1s)

sample43.0ms

Algorithm
intervals
Results
20.0ms334×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
93129
8915
7384
6200
5144
488
345
225
114
08

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
7.0b
(/ (* y (- z x)) t)

rewrite56.0ms

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*
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 → 61
Calls
3 calls:
12.0ms
(+ x (/ (* y (- z x)) t))
27.0ms
(* y (- z x))
15.0ms
(/ (* y (- z x)) t)

series191.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ x (/ (* y (- z x)) t))
62.0ms
(* y (- z x))
79.0ms
(/ (* y (- z x)) t)

simplify636.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
21163
1309
0113

prune274.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
6.2b
(/ y (/ t (- z x)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
49.0ms
(+ x (/ y (/ t (- z x))))
14.0ms
(/ t (- z x))
16.0ms
(/ y (/ t (- z x)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ x (/ y (/ t (- z x))))
41.0ms
(/ t (- z x))
82.0ms
(/ y (/ t (- z x)))

simplify876.0ms

Counts
160 → 160
Iterations
IterNodes
done5000
22887
1622
0242

prune728.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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 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 → 57
Calls
2 calls:
13.0ms
(+ (* (/ y t) (- z x)) x)
27.0ms
(* (/ y t) (- z x))

series100.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* (/ y t) (- z x)) x)
63.0ms
(* (/ y t) (- z x))

simplify621.0ms

Counts
63 → 63
Iterations
IterNodes
done5001
21376
1322
0120

prune320.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (/ (- z x) t)) x)
0.0b
(/ (- z x) t)
6.0b
(* y (/ (- z x) t))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-/r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip-+ flip--
Counts
3 → 87
Calls
3 calls:
17.0ms
(+ (* y (/ (- z x) t)) x)
20.0ms
(/ (- z x) t)
36.0ms
(* y (/ (- z x) t))

series141.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ (* y (/ (- z x) t)) x)
29.0ms
(/ (- z x) t)
72.0ms
(* y (/ (- z x) t))

simplify605.0ms

Counts
96 → 96
Iterations
IterNodes
done5001
21547
1362
0137

prune818.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes389.0ms

Accuracy

13.4% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch93.0ms

Steps
ItersRangePoint
6
2.4751903738970958e-169
1.7515810259041272e-168
7.486542709900388e-169
9
-5.617430501226469e+72
-1.0385201596785602e+64
-8.363664958439673e+69

simplify6.0ms

Iterations
IterNodes
done30
230
129
019

end0.0ms

sample1.2s

Algorithm
intervals
Results
474.0ms10676×body80valid