Details

Time bar (total: 10.1s)

sample45.0ms

Algorithm
intervals
Results
19.0ms274×body80valid

simplify267.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 2.0 (* (/ z x) (- y t)))
4.6b
(* (/ z x) (- y t))

rewrite69.0ms

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:
25.0ms
(/ 2.0 (* (/ z x) (- y t)))
38.0ms
(* (/ z x) (- y t))

series168.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ 2.0 (* (/ z x) (- y t)))
102.0ms
(* (/ z x) (- y t))

simplify1.3s

Counts
98 → 98
Iterations
IterNodes
done5000
22776
1516
0191

prune529.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y t) x)
0.8b
(/ 2.0 (* z (/ (- y t) x)))
3.4b
(* z (/ (- y t) x))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
19×add-cbrt-cube associate-*r* add-exp-log
8×associate-/l*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×associate-/r* prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr associate-/l/
1×flip3-- div-sub pow-prod-down associate-/r/ *-commutative flip--
Counts
3 → 106
Calls
3 calls:
15.0ms
(/ (- y t) x)
18.0ms
(/ 2.0 (* z (/ (- y t) x)))
39.0ms
(* z (/ (- y t) x))

series248.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- y t) x)
150.0ms
(/ 2.0 (* z (/ (- y t) x)))
55.0ms
(* z (/ (- y t) x))

simplify1.2s

Counts
115 → 115
Iterations
IterNodes
done5001
21735
1394
0158

prune571.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y t) x)
0.5b
(/ 2.0 (/ (- y t) x))
3.4b
(* (/ 1 z) (/ 2.0 (/ (- y t) x)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
203×add-sqr-sqrt
176×*-un-lft-identity
123×add-cube-cbrt
62×associate-*r*
49×add-exp-log
31×add-cbrt-cube
25×distribute-lft-out-- difference-of-squares
22×associate-/r* div-exp
13×cbrt-undiv associate-*l*
12×prod-exp
11×div-inv
9×unswap-sqr
8×associate-/l*
6×cbrt-unprod
5×pow1
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/r/ associate-/l/
1×frac-times flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
3 → 252
Calls
3 calls:
13.0ms
(/ (- y t) x)
13.0ms
(/ 2.0 (/ (- y t) x))
75.0ms
(* (/ 1 z) (/ 2.0 (/ (- y t) x)))

series280.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- y t) x)
112.0ms
(/ 2.0 (/ (- y t) x))
129.0ms
(* (/ 1 z) (/ 2.0 (/ (- y t) x)))

simplify990.0ms

Counts
261 → 261
Iterations
IterNodes
done5001
11106
0338

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 2.0 x) (- y t))
3.4b
(/ (/ (* 2.0 x) (- y t)) z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
36×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
16×add-cbrt-cube add-exp-log
12×associate-/l*
10×associate-/r/
8×associate-/r*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
5×flip3-- flip--
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 95
Calls
2 calls:
19.0ms
(/ (* 2.0 x) (- y t))
24.0ms
(/ (/ (* 2.0 x) (- y t)) z)

series131.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* 2.0 x) (- y t))
92.0ms
(/ (/ (* 2.0 x) (- y t)) z)

simplify997.0ms

Counts
101 → 101
Iterations
IterNodes
done5001
22122
1425
0169

prune491.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes314.0ms

Accuracy

37% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 5.5b

bsearch69.0ms

Steps
ItersRangePoint
8
7.04602585187768e-264
1.2764682549673759e-259
3.7769874953739505e-260
7
-5.052750263496205e-64
-2.6228899954356625e-65
-3.0038132906004534e-64

simplify3.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample787.0ms

Algorithm
intervals
Results
436.0ms8673×body80valid