Details

Time bar (total: 24.3s)

sample47.0ms

Algorithm
intervals
Results
20.0ms273×body80valid

simplify273.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51739
61989
72049
done2049

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- 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 → 49
Calls
2 calls:
22.0ms
(* z (- y t))
34.0ms
(/ (* x 2.0) (* z (- y t)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* z (- y t))
82.0ms
(/ (* x 2.0) (* z (- y t)))

simplify929.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
093556
1243543
21070427
done5000427

prune166.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 66
Calls
1 calls:
28.0ms
(/ (/ (* x 2.0) z) (- y t))

series82.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.8s

Counts
69 → 69
Iterations

Useful iterations: 2 (549.0ms)

IterNodesCost
01451073
13681025
21163951
done5001951

prune281.0ms

Pruning

8 alts after pruning (7 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))))

rewrite271.0ms

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 add-log-exp
3×pow1/3 prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 990
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
132.0ms
(/ (/ x (* (cbrt z) (cbrt z))) (/ (- y t) (/ 2.0 (cbrt z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
334.0ms
(cbrt z)
351.0ms
(cbrt z)
312.0ms
(cbrt z)
113.0ms
(/ (/ x (* (cbrt z) (cbrt z))) (/ (- y t) (/ 2.0 (cbrt z))))

simplify3.1s

Counts
1002 → 1002
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0148032380
1420630381
done500030121

prune4.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.5b
(* (/ x (* (cbrt (cbrt z)) (cbrt (cbrt z)))) (/ (/ 1 (* (cbrt z) (cbrt z))) (/ (- y t) (/ 2.0 (cbrt (cbrt z))))))

rewrite828.0ms

Algorithm
rewrite-expression-head
Rules
3741×times-frac
1779×add-sqr-sqrt
1663×*-un-lft-identity
1219×add-cube-cbrt
1125×associate-*r*
972×cbrt-prod
373×add-exp-log
217×distribute-lft-out-- difference-of-squares
206×div-exp
204×div-inv
128×add-cbrt-cube
115×prod-exp
92×cbrt-undiv
49×cbrt-unprod
32×unswap-sqr
18×rec-exp 1-exp
8×associate-/r/
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 1305
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
612.0ms
(* (/ x (* (cbrt (cbrt z)) (cbrt (cbrt z)))) (/ (/ 1 (* (cbrt z) (cbrt z))) (/ (- y t) (/ 2.0 (cbrt (cbrt z))))))

series924.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt z)
250.0ms
(cbrt z)
278.0ms
(cbrt z)
115.0ms
(* (/ x (* (cbrt (cbrt z)) (cbrt (cbrt z)))) (/ (/ 1 (* (cbrt z) (cbrt z))) (/ (- y t) (/ 2.0 (cbrt (cbrt z))))))

simplify2.0s

Counts
1317 → 1317
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0201040515
done500038257

prune6.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes223.0ms

Accuracy

44.7% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 5.4b

bsearch64.0ms

Steps
ItersRangePoint
7
1.932542760974693e+40
1.3424286948395401e+42
1.381776730178542e+41
2
-7.788267059150153e+96
-6.828632073403998e+96
-6.948586446622268e+96

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02644
12942
done2942

end0.0ms

sample1.1s

Algorithm
intervals
Results
420.0ms8714×body80valid