Details

Time bar (total: 38.3s)

sample51.0ms

Algorithm
intervals
Results
26.0ms272×body80valid

simplify341.0ms

Counts
1 → 1
Iterations
IterNodes
done203
8203
7201
6182
5156
4117
374
242
119
010

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
5.0b
(* (/ x z) (/ 2.0 (- y t)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-*l*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 95
Calls
2 calls:
23.0ms
(/ 2.0 (- y t))
119.0ms
(* (/ x z) (/ 2.0 (- y t)))

series171.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ 2.0 (- y t))
95.0ms
(* (/ x z) (/ 2.0 (- y t)))

simplify6.6s

Counts
101 → 101
Iterations
IterNodes
done5005
21557
1428
0153

prune2.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* x (/ 2.0 (- y t)))
3.6b
(/ (* x (/ 2.0 (- y t))) z)

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×flip3-- frac-2neg associate-*r/ clear-num flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 101
Calls
3 calls:
28.0ms
(/ 2.0 (- y t))
163.0ms
(* x (/ 2.0 (- y t)))
33.0ms
(/ (* x (/ 2.0 (- y t))) z)

series768.0ms

Counts
3 → 9
Calls
3 calls:
320.0ms
(/ 2.0 (- y t))
118.0ms
(* x (/ 2.0 (- y t)))
325.0ms
(/ (* x (/ 2.0 (- y t))) z)

simplify6.6s

Counts
110 → 110
Iterations
IterNodes
done5004
21246
1361
0148

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* x (/ 2.0 (- y t)))
3.6b
(* (* x (/ 2.0 (- y t))) (/ 1 z))

rewrite324.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-sqr-sqrt
44×*-un-lft-identity
40×times-frac
34×associate-*r*
31×add-cbrt-cube
30×add-cube-cbrt
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv distribute-lft-out-- difference-of-squares
5×associate-/r*
4×associate-*r/ associate-*l* pow-prod-down associate-/r/
3×rec-exp 1-exp div-inv associate-/l* add-log-exp
2×flip3-- *-commutative flip-- unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 123
Calls
3 calls:
33.0ms
(/ 2.0 (- y t))
161.0ms
(* x (/ 2.0 (- y t)))
98.0ms
(* (* x (/ 2.0 (- y t))) (/ 1 z))

series1.3s

Counts
3 → 9
Calls
3 calls:
419.0ms
(/ 2.0 (- y t))
153.0ms
(* x (/ 2.0 (- y t)))
748.0ms
(* (* x (/ 2.0 (- y t))) (/ 1 z))

simplify6.2s

Counts
132 → 132
Iterations
IterNodes
done5004
21622
1498
0186

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
4.7b
(* x (/ (/ 2.0 z) (- y t)))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 193
Calls
2 calls:
36.0ms
(/ (/ 2.0 z) (- y t))
111.0ms
(* x (/ (/ 2.0 z) (- y t)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (/ 2.0 z) (- y t))
111.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify4.5s

Counts
199 → 199
Iterations
IterNodes
done5000
22287
1746
0274

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes1.3s

Accuracy

54% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.5b

bsearch150.0ms

Steps
ItersRangePoint
7
5.959426181750985e-64
1.5712680714815965e-62
1.4121515034645938e-62
8
-4.331117105080386e+94
-9.534476778362202e+91
-9.646959927651131e+91

simplify6.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s8732×body80valid