Details

Time bar (total: 10.8s)

sample32.0ms

Algorithm
intervals
Results
14.0ms274×body80valid

simplify196.0ms

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
5.3b
(* (/ 2.0 (- y t)) (/ x z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*l*
16×add-cbrt-cube add-exp-log
13×associate-*r*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 95
Calls
2 calls:
16.0ms
(/ 2.0 (- y t))
41.0ms
(* (/ 2.0 (- y t)) (/ x z))

series575.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ 2.0 (- y t))
498.0ms
(* (/ 2.0 (- y t)) (/ x z))

simplify1.3s

Counts
101 → 101
Iterations
IterNodes
done5002
21469
1453
0159

prune437.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* (/ 2.0 (- y t)) x)
3.4b
(/ (* (/ 2.0 (- y t)) x) z)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*l*
19×add-cbrt-cube add-exp-log
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-*r* div-inv add-log-exp
2×clear-num frac-2neg flip3-- associate-*l/ flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 101
Calls
3 calls:
9.0ms
(/ 2.0 (- y t))
40.0ms
(* (/ 2.0 (- y t)) x)
23.0ms
(/ (* (/ 2.0 (- y t)) x) z)

series308.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 2.0 (- y t))
105.0ms
(* (/ 2.0 (- y t)) x)
155.0ms
(/ (* (/ 2.0 (- y t)) x) z)

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
done5004
21210
1371
0153

prune595.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 91
Calls
2 calls:
14.0ms
(/ (* 2.0 x) (- y t))
26.0ms
(/ (/ (* 2.0 x) (- y t)) z)

series167.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (* 2.0 x) (- y t))
117.0ms
(/ (/ (* 2.0 x) (- y t)) z)

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done5000
21373
1413
0165

prune545.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* (/ 2.0 (- y t)) x)
0.8b
(/ 1 (/ z (* (/ 2.0 (- y t)) x)))
3.0b
(/ z (* (/ 2.0 (- y t)) x))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
70×times-frac
62×add-sqr-sqrt
57×*-un-lft-identity
54×add-exp-log
43×add-cube-cbrt
34×add-cbrt-cube
26×div-exp
21×associate-*l*
14×cbrt-undiv associate-/r*
10×prod-exp associate-/r/
9×associate-/l*
8×div-inv
7×pow1 distribute-lft-out-- difference-of-squares
6×associate-*l/ cbrt-unprod
4×rec-exp 1-exp add-log-exp
3×clear-num frac-2neg associate-*r*
2×flip3-- flip-- unswap-sqr
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 165
Calls
4 calls:
9.0ms
(/ 2.0 (- y t))
25.0ms
(* (/ 2.0 (- y t)) x)
25.0ms
(/ 1 (/ z (* (/ 2.0 (- y t)) x)))
21.0ms
(/ z (* (/ 2.0 (- y t)) x))

series433.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ 2.0 (- y t))
124.0ms
(* (/ 2.0 (- y t)) x)
151.0ms
(/ 1 (/ z (* (/ 2.0 (- y t)) x)))
110.0ms
(/ z (* (/ 2.0 (- y t)) x))

simplify1.4s

Counts
177 → 177
Iterations
IterNodes
done5006
21863
1577
0238

prune793.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes304.0ms

Accuracy

38.3% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 5.5b

bsearch46.0ms

Steps
ItersRangePoint
6
1.1243659295854038e-245
4.910579229175414e-245
3.2887742902305866e-245
4
-7.557294856603768e+88
-3.962670630750149e+88
-4.0563845529555984e+88

simplify3.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample927.0ms

Algorithm
intervals
Results
589.0ms8673×body80valid