Details

Time bar (total: 1.7m)

sample58.0ms

Algorithm
intervals
Results
26.0ms277×body80valid

simplify251.0ms

Counts
1 → 1
Iterations
IterNodes
done281
8281
7271
6242
5192
4138
388
246
120
010

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 2.0 (* (/ z x) (- y t)))
4.0b
(* (/ z x) (- y t))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
18×prod-diff
16×add-cbrt-cube add-exp-log
13×times-frac associate-*l*
11×distribute-rgt-in distribute-lft-in
5×cbrt-undiv div-exp associate-*r* associate-/r/
4×frac-times pow1 flip3-- prod-exp associate-*r/ cbrt-unprod flip--
3×associate-/l*
2×expm1-log1p-u sub-neg associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 92
Calls
2 calls:
12.0ms
(/ 2.0 (* (/ z x) (- y t)))
32.0ms
(* (/ z x) (- y t))

series136.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ 2.0 (* (/ z x) (- y t)))
84.0ms
(* (/ z x) (- y t))

simplify1.5s

Counts
98 → 98
Iterations
IterNodes
done5000
22776
1516
0191

prune623.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.5b
(/ 1 (/ z x))
4.5b
(* (/ 1 (/ z x)) (/ 2.0 (- y t)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
188×times-frac
146×add-sqr-sqrt
117×*-un-lft-identity
99×add-cube-cbrt
61×add-exp-log
44×associate-*l*
31×add-cbrt-cube
29×div-exp
21×associate-*r*
18×associate-/r*
14×prod-exp
13×cbrt-undiv
11×div-inv
10×unswap-sqr
7×distribute-lft-out-- difference-of-squares
6×pow1 rec-exp 1-exp associate-/r/ cbrt-unprod associate-/l*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-- flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
3 → 226
Calls
3 calls:
8.0ms
(/ 2.0 (- y t))
8.0ms
(/ 1 (/ z x))
73.0ms
(* (/ 1 (/ z x)) (/ 2.0 (- y t)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ 2.0 (- y t))
9.0ms
(/ 1 (/ z x))
90.0ms
(* (/ 1 (/ z x)) (/ 2.0 (- y t)))

simplify856.0ms

Counts
235 → 235
Iterations
IterNodes
done5001
1970
0311

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
4.1b
(/ (/ 2.0 (- y t)) (/ z x))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
24×associate-/l*
18×associate-/r*
16×add-cbrt-cube add-exp-log
15×flip3-- flip--
9×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 368
Calls
2 calls:
18.0ms
(/ 2.0 (- y t))
24.0ms
(/ (/ 2.0 (- y t)) (/ z x))

series244.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 2.0 (- y t))
179.0ms
(/ (/ 2.0 (- y t)) (/ z x))

simplify1.5s

Counts
374 → 374
Iterations
IterNodes
done5001
12012
0598

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ (/ (sqrt 2.0) 1) (/ (/ z x) (/ (sqrt 2.0) (- y t))))
0.5b
(/ (sqrt 2.0) (- y t))
4.1b
(/ (/ z x) (/ (sqrt 2.0) (- y t)))

rewrite3.3s

Algorithm
rewrite-expression-head
Rules
47375×times-frac
21353×add-sqr-sqrt *-un-lft-identity
17583×add-cube-cbrt
8979×sqrt-prod
1885×distribute-lft-out-- difference-of-squares
1678×div-inv
653×associate-/r/
514×associate-/r*
314×flip3-- flip--
76×add-exp-log
58×add-cbrt-cube div-exp
41×associate-/l*
40×cbrt-undiv
5×1-exp
3×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
2×associate-/l/
Counts
3 → 11536
Calls
3 calls:
758.0ms
(/ (/ (sqrt 2.0) 1) (/ (/ z x) (/ (sqrt 2.0) (- y t))))
19.0ms
(/ (sqrt 2.0) (- y t))
38.0ms
(/ (/ z x) (/ (sqrt 2.0) (- y t)))

series545.0ms

Counts
3 → 9
Calls
3 calls:
229.0ms
(/ (/ (sqrt 2.0) 1) (/ (/ z x) (/ (sqrt 2.0) (- y t))))
132.0ms
(/ (sqrt 2.0) (- y t))
183.0ms
(/ (/ z x) (/ (sqrt 2.0) (- y t)))

simplify10.2s

Counts
11545 → 11545
Iterations
IterNodes
done11540
011540

prune1.3m

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes462.0ms

Accuracy

54.8% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 5.7b

bsearch96.0ms

Steps
ItersRangePoint
9
2.8774859621899767e+35
3.074106454824911e+42
2.2278084343868805e+36
0
-2.947476224672355e+38
-2.85426433178091e+38
-2.9008702782266326e+38

simplify6.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample1.1s

Algorithm
intervals
Results
583.0ms8708×body80valid