Details

Time bar (total: 19.0s)

sample53.0ms

Algorithm
intervals
Results
22.0ms360×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5001
133308
122041
111149
10682
9352
8198
7153
6134
5109
472
340
223
114
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
7.1b
(/ (* y (- z x)) t)

rewrite74.0ms

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:
14.0ms
(+ x (/ (* y (- z x)) t))
36.0ms
(* y (- z x))
23.0ms
(/ (* y (- z x)) t)

series202.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ x (/ (* y (- z x)) t))
63.0ms
(* y (- z x))
69.0ms
(/ (* y (- z x)) t)

simplify2.5s

Counts
70 → 70
Iterations
IterNodes
done5004
33908
2880
1304
0113

prune381.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y t) (- z x)) x)
7.2b
(* (/ y t) (- z x))

rewrite58.0ms

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:
18.0ms
(+ (* (/ y t) (- z x)) x)
36.0ms
(* (/ y t) (- z x))

series131.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (* (/ y t) (- z x)) x)
78.0ms
(* (/ y t) (- z x))

simplify2.6s

Counts
63 → 63
Iterations
IterNodes
done5025
34268
21047
1322
0120

prune304.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
4.6b
(/ y (/ t (- z x)))

rewrite80.0ms

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:
38.0ms
(+ x (/ y (/ t (- z x))))
14.0ms
(/ t (- z x))
18.0ms
(/ y (/ t (- z x)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ x (/ y (/ t (- z x))))
55.0ms
(/ t (- z x))
71.0ms
(/ y (/ t (- z x)))

simplify1.7s

Counts
160 → 160
Iterations
IterNodes
done5000
22149
1611
0242

prune978.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
0.0b
(/ 1 (- z x))
7.2b
(/ (/ y t) (/ 1 (- z x)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ flip-+ pow-flip distribute-lft-out inv-pow associate-/l/
Counts
3 → 384
Calls
3 calls:
96.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
17.0ms
(/ 1 (- z x))
41.0ms
(/ (/ y t) (/ 1 (- z x)))

series216.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
47.0ms
(/ 1 (- z x))
113.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify2.4s

Counts
393 → 393
Iterations
IterNodes
done5001
24330
11836
0590

prune1.3s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes353.0ms

Accuracy

17% (1.7b remaining)

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

bsearch83.0ms

Steps
ItersRangePoint
7
7.311587639460328e-112
1.6953135134700687e-110
1.3134564363836838e-110
5
-6.192758416488176e+24
-2.95044528942059e+24
-5.792166923042434e+24

simplify3.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s10715×body80valid