Details

Time bar (total: 20.1s)

sample49.0ms

Algorithm
intervals
Results
26.0ms273×body80valid

simplify353.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51869
62249
72399
82429
done2429

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.5b
(/ (* x 2.0) (* z (- y t)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
25.0ms
(* z (- y t))
20.0ms
(/ (* x 2.0) (* z (- y t)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* z (- y t))
56.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.1s

Counts
77 → 77
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01451080
1324905
21205699
done5000675

prune227.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
37×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×div-inv associate-/l*
5×cbrt-undiv div-exp associate-/r*
2×associate-/r/
1×pow1 expm1-log1p-u flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 68
Calls
1 calls:
21.0ms
(/ (/ (* x 2.0) z) (- y t))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
01471093
13711045
21163971
done5000971

prune248.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.2b
(/ (/ x (* (cbrt z) (cbrt z))) (/ (- y t) (/ 2.0 (cbrt z))))

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
2753×times-frac
1295×add-sqr-sqrt *-un-lft-identity
943×add-cube-cbrt
369×cbrt-prod
176×distribute-lft-out-- difference-of-squares
165×div-inv
115×associate-/r*
40×add-exp-log
31×add-cbrt-cube
24×cbrt-undiv div-exp
9×associate-/r/
7×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 998
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
132.0ms
(/ (/ x (* (cbrt z) (cbrt z))) (/ (- y t) (/ 2.0 (cbrt z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt z)
322.0ms
(cbrt z)
280.0ms
(cbrt z)
128.0ms
(/ (/ x (* (cbrt z) (cbrt z))) (/ (- y t) (/ 2.0 (cbrt z))))

simplify3.2s

Counts
1010 → 1010
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0148432432
1421030433
done500030173

prune4.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
5.5b
(cbrt (/ (- y t) (/ 2.0 (cbrt z))))
5.5b
(cbrt (/ (- y t) (/ 2.0 (cbrt z))))
5.5b
(cbrt (/ (- y t) (/ 2.0 (cbrt z))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
600×times-frac
483×cbrt-prod
401×add-sqr-sqrt *-un-lft-identity
269×add-cube-cbrt
66×distribute-lft-out-- difference-of-squares
18×div-inv
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div associate-/r/
Counts
4 → 391
Calls
4 calls:
1.0ms
(cbrt z)
13.0ms
(cbrt (/ (- y t) (/ 2.0 (cbrt z))))
14.0ms
(cbrt (/ (- y t) (/ 2.0 (cbrt z))))
31.0ms
(cbrt (/ (- y t) (/ 2.0 (cbrt z))))

series1.8s

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt z)
536.0ms
(cbrt (/ (- y t) (/ 2.0 (cbrt z))))
545.0ms
(cbrt (/ (- y t) (/ 2.0 (cbrt z))))
463.0ms
(cbrt (/ (- y t) (/ 2.0 (cbrt z))))

simplify1.5s

Counts
403 → 403
Iterations

Useful iterations: done (1.5s)

IterNodesCost
04238834
18238308
220688029
done50007972

prune2.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01844
11944
done1944

end0.0ms

sample1.3s

Algorithm
intervals
Results
779.0ms8714×body80valid