Details

Time bar (total: 28.2s)

sample33.0ms

Algorithm
intervals
Results
12.0ms288×body80valid

simplify258.0ms

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 2.0 (* (/ z x) (- y t)))
4.9b
(* (/ z x) (- y t))

rewrite55.0ms

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:
15.0ms
(/ 2.0 (* (/ z x) (- y t)))
37.0ms
(* (/ z x) (- y t))

series137.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ 2.0 (* (/ z x) (- y t)))
79.0ms
(* (/ z x) (- y t))

simplify1.1s

Counts
98 → 98
Iterations
IterNodes
done5000
22776
1516
0191

prune460.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(/ 2.0 (* (/ (* (cbrt z) (cbrt z)) 1) (* (- y t) (/ (cbrt z) x))))
1.2b
(* (- y t) (/ (cbrt z) x))
2.1b
(* (/ (* (cbrt z) (cbrt z)) 1) (* (- y t) (/ (cbrt z) x)))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
140×add-exp-log
73×add-cbrt-cube
64×prod-exp
51×div-exp
38×cbrt-unprod
33×add-sqr-sqrt
29×cbrt-undiv
26×times-frac
25×*-un-lft-identity
23×associate-*r* add-cube-cbrt
20×frac-times
15×associate-*r/
13×cbrt-prod
12×1-exp associate-*l* associate-*l/
11×pow1 associate-/r/
10×flip3-- flip--
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×div-inv associate-/l* unswap-sqr
2×*-commutative
1×clear-num associate-/r* frac-2neg pow1/3 distribute-lft-out-- difference-of-squares
Counts
4 → 174
Calls
4 calls:
1.0ms
(cbrt z)
88.0ms
(/ 2.0 (* (/ (* (cbrt z) (cbrt z)) 1) (* (- y t) (/ (cbrt z) x))))
29.0ms
(* (- y t) (/ (cbrt z) x))
99.0ms
(* (/ (* (cbrt z) (cbrt z)) 1) (* (- y t) (/ (cbrt z) x)))

series784.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt z)
172.0ms
(/ 2.0 (* (/ (* (cbrt z) (cbrt z)) 1) (* (- y t) (/ (cbrt z) x))))
196.0ms
(* (- y t) (/ (cbrt z) x))
122.0ms
(* (/ (* (cbrt z) (cbrt z)) 1) (* (- y t) (/ (cbrt z) x)))

simplify518.0ms

Counts
186 → 186
Iterations
IterNodes
done5001
1922
0289

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

2.4b
(/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x)))
16.1b
(cbrt (/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x))))
16.1b
(cbrt (/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x))))
16.1b
(cbrt (/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod
43×times-frac
40×add-exp-log
31×add-cbrt-cube
20×associate-/r/
18×cbrt-undiv div-exp
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×prod-exp cbrt-unprod div-inv
8×frac-times flip3-- associate-*l/ flip--
7×associate-/l*
4×expm1-log1p-u pow1 associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-div pow1/3
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 132
Calls
4 calls:
46.0ms
(/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x)))
18.0ms
(cbrt (/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x))))
18.0ms
(cbrt (/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x))))
29.0ms
(cbrt (/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
208.0ms
(/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x)))
274.0ms
(cbrt (/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x))))
285.0ms
(cbrt (/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x))))
285.0ms
(cbrt (/ (/ 2.0 (* (cbrt z) (cbrt z))) (* (- y t) (/ (cbrt z) x))))

simplify1.1s

Counts
144 → 144
Iterations
IterNodes
done5001
22156
1524
0211

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.3b
(/ (/ (cbrt 2.0) (- y t)) (/ (cbrt z) x))
2.2b
(* (* (/ (cbrt 2.0) (cbrt z)) (/ (cbrt 2.0) (cbrt z))) (/ (/ (cbrt 2.0) (- y t)) (/ (cbrt z) x)))

rewrite749.0ms

Algorithm
rewrite-expression-head
Rules
4269×times-frac
2292×add-sqr-sqrt
2261×*-un-lft-identity
1721×add-cube-cbrt
1344×cbrt-prod
797×associate-*r*
270×distribute-lft-out-- difference-of-squares
146×add-exp-log
120×div-inv
92×associate-/r/
82×add-cbrt-cube
68×cbrt-undiv div-exp
45×flip3-- prod-exp cbrt-unprod flip--
36×associate-/l*
22×associate-/r*
10×unswap-sqr
9×pow1
5×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-*r/
2×pow1/3
1×clear-num frac-2neg associate-*l* *-commutative associate-/l/
Counts
4 → 1775
Calls
4 calls:
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
54.0ms
(/ (/ (cbrt 2.0) (- y t)) (/ (cbrt z) x))
406.0ms
(* (* (/ (cbrt 2.0) (cbrt z)) (/ (cbrt 2.0) (cbrt z))) (/ (/ (cbrt 2.0) (- y t)) (/ (cbrt z) x)))

series981.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
670.0ms
(/ (/ (cbrt 2.0) (- y t)) (/ (cbrt z) x))
311.0ms
(* (* (/ (cbrt 2.0) (cbrt z)) (/ (cbrt 2.0) (cbrt z))) (/ (/ (cbrt 2.0) (- y t)) (/ (cbrt z) x)))

simplify1.7s

Counts
1783 → 1783
Iterations
IterNodes
done5000
01929

prune14.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes916.0ms

Accuracy

92.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.2b

bsearch1.0ms

simplify7.0ms

Iterations
IterNodes
done45
345
242
139
031

end0.0ms

sample1.4s

Algorithm
intervals
Results
931.0ms8699×body80valid