Details

Time bar (total: 11.5s)

sample30.0ms

Algorithm
intervals
Results
12.0ms277×body80valid

simplify226.0ms

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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)))
25.0ms
(* (/ z x) (- y t))

series129.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 2.0 (* (/ z x) (- y t)))
74.0ms
(* (/ z x) (- y t))

simplify1.3s

Counts
98 → 98
Iterations
IterNodes
done5000
22776
1516
0191

prune477.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite102.0ms

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:
9.0ms
(/ 2.0 (- y t))
8.0ms
(/ 1 (/ z x))
71.0ms
(* (/ 1 (/ z x)) (/ 2.0 (- y t)))

series116.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 2.0 (- y t))
10.0ms
(/ 1 (/ z x))
60.0ms
(* (/ 1 (/ z x)) (/ 2.0 (- y t)))

simplify401.0ms

Counts
235 → 235
Iterations
IterNodes
done5001
1970
0311

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite97.0ms

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:
14.0ms
(/ 2.0 (- y t))
40.0ms
(/ (/ 2.0 (- y t)) (/ z x))

series227.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 2.0 (- y t))
167.0ms
(/ (/ 2.0 (- y t)) (/ z x))

simplify818.0ms

Counts
374 → 374
Iterations
IterNodes
done5001
12012
0598

prune2.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
34×times-frac
32×add-exp-log
25×add-cbrt-cube
23×add-cube-cbrt
21×associate-*r*
12×prod-exp
11×div-exp
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out-- difference-of-squares
5×associate-/r*
4×pow1 associate-/r/
3×div-inv associate-/l*
2×expm1-log1p-u flip3-- 1-exp log1p-expm1-u flip-- add-log-exp unswap-sqr
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 97
Calls
2 calls:
10.0ms
(/ 2.0 (- y t))
41.0ms
(* (/ (* 1 x) z) (/ 2.0 (- y t)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 2.0 (- y t))
73.0ms
(* (/ (* 1 x) z) (/ 2.0 (- y t)))

simplify1.3s

Counts
103 → 103
Iterations
IterNodes
done5002
22419
1466
0162

prune523.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes778.0ms

Accuracy

77.1% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done37
237
135
027

end0.0ms

sample946.0ms

Algorithm
intervals
Results
404.0ms8708×body80valid