Details

Time bar (total: 20.0s)

sample31.0ms

Algorithm
intervals
Results
15.0ms333×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
204946
194678
184407
174139
163867
153599
143328
133060
122794
112528
102251
91857
81548
7962
6412
5205
4128
363
230
116
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-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* sub-neg times-frac flip3-- associate-*l* flip--
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares associate-/l/
1×clear-num frac-2neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
7.0ms
(- x (/ (* y (- z t)) a))
16.0ms
(* y (- z t))
32.0ms
(/ (* y (- z t)) a)

series231.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(- x (/ (* y (- z t)) a))
60.0ms
(* y (- z t))
80.0ms
(/ (* y (- z t)) a)

simplify2.2s

Counts
72 → 72
Iterations
IterNodes
done5046
33370
2844
1305
0120

prune466.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
3×flip3-- flip--
2×frac-times associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg diff-log div-exp pow-prod-down associate-*r/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 50
Calls
2 calls:
8.0ms
(- x (* (- z t) (/ y a)))
26.0ms
(* (- z t) (/ y a))

series114.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- x (* (- z t) (/ y a)))
55.0ms
(* (- z t) (/ y a))

simplify2.7s

Counts
56 → 56
Iterations
IterNodes
done5002
34643
21021
1305
0119

prune379.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ a (* y (- z t)))))
0.0b
(* y (- z t))
0.7b
(/ 1 (/ a (* y (- z t))))
4.9b
(/ a (* y (- z t)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
37×add-sqr-sqrt
32×*-un-lft-identity add-exp-log
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv flip3-- div-inv flip--
6×associate-/l* add-log-exp
5×associate-*r* prod-exp
4×difference-of-squares
3×rec-exp sub-neg 1-exp associate-*l* cbrt-unprod distribute-lft-out--
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in
1×diff-log pow-prod-down *-commutative pow-flip inv-pow unswap-sqr
Counts
4 → 130
Calls
4 calls:
36.0ms
(- x (/ 1 (/ a (* y (- z t)))))
32.0ms
(* y (- z t))
35.0ms
(/ 1 (/ a (* y (- z t))))
18.0ms
(/ a (* y (- z t)))

series282.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- x (/ 1 (/ a (* y (- z t)))))
48.0ms
(* y (- z t))
86.0ms
(/ 1 (/ a (* y (- z t))))
66.0ms
(/ a (* y (- z t)))

simplify1.6s

Counts
142 → 142
Iterations
IterNodes
done5001
21423
1477
0206

prune727.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (/ a y) (- z t))))
0.7b
(/ 1 (/ (/ a y) (- z t)))
6.3b
(/ (/ a y) (- z t))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
784×times-frac
482×add-sqr-sqrt
465×*-un-lft-identity
327×add-cube-cbrt
76×associate-/r*
73×difference-of-squares
68×distribute-lft-out--
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
6×flip3-- flip--
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×clear-num frac-2neg
1×sub-neg diff-log pow-flip inv-pow associate-/l/
Counts
3 → 433
Calls
3 calls:
109.0ms
(- x (/ 1 (/ (/ a y) (- z t))))
37.0ms
(/ 1 (/ (/ a y) (- z t)))
24.0ms
(/ (/ a y) (- z t))

series234.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(- x (/ 1 (/ (/ a y) (- z t))))
90.0ms
(/ 1 (/ (/ a y) (- z t)))
53.0ms
(/ (/ a y) (- z t))

simplify3.0s

Counts
442 → 442
Iterations
IterNodes
done5006
24733
11651
0594

prune2.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes663.0ms

Accuracy

55.5% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.5b

bsearch168.0ms

Steps
ItersRangePoint
9
2.4312365745785198e-34
1.619720430203381e-29
6.5786165081996666e-31
10
-8.579735130968805e+138
-1.5206150013069137e+124
-1.5459227357160263e+124

simplify7.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample1.4s

Algorithm
intervals
Results
824.0ms10720×body80valid