Details

Time bar (total: 6.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify114.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3819
41259
51659
61949
72059
done2059

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.6b
(/ (* x 2.0) (* z (- y t)))

rewrite18.0ms

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:
9.0ms
(* z (- y t))
7.0ms
(/ (* x 2.0) (* z (- y t)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* z (- y t))
47.0ms
(/ (* x 2.0) (* z (- y t)))

simplify452.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
093556
1250543
21091427
done5000427

prune103.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.9b
(/ 1 (* z (- y t)))
4.2b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
14×associate-*r*
13×pow1 add-sqr-sqrt cbrt-unprod
12×div-exp
11×*-un-lft-identity
9×add-cube-cbrt
7×associate-*r/
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv
1×frac-2neg clear-num associate-/r* un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 98
Calls
3 calls:
9.0ms
(* z (- y t))
8.0ms
(/ 1 (* z (- y t)))
27.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series107.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* z (- y t))
28.0ms
(/ 1 (* z (- y t)))
44.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify678.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
01391165
13781006
21225798
done5001798

prune163.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (- y t))
4.2b
(* (* x 2.0) (/ (/ 1 z) (- y t)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
161×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
71×associate-*r*
46×add-exp-log
28×add-cbrt-cube
27×distribute-lft-out-- difference-of-squares
18×div-exp
15×prod-exp
13×div-inv associate-/l*
9×cbrt-undiv cbrt-unprod
7×pow1
5×associate-/r*
4×associate-/r/
3×rec-exp 1-exp pow-prod-down
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 201
Calls
2 calls:
9.0ms
(/ (/ 1 z) (- y t))
28.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (/ 1 z) (- y t))
44.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

simplify959.0ms

Counts
207 → 207
Iterations

Useful iterations: 2 (400.0ms)

IterNodesCost
02753153
18552655
224222372
done50012372

prune356.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
2.9b
(* (* (* 2.0 x) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (/ (cbrt (/ 1 z)) (- y t)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
114×add-sqr-sqrt *-un-lft-identity
104×cbrt-prod
86×associate-*r*
82×add-cube-cbrt
45×add-exp-log
32×add-cbrt-cube
26×prod-exp cbrt-unprod
22×pow1
16×distribute-lft-out-- difference-of-squares
13×pow-prod-down
11×cbrt-div
9×associate-*r/ div-inv
5×cbrt-undiv frac-times div-exp associate-*l/
4×add-log-exp
3×pow1/3
2×associate-/r/
1×flip3-- associate-*l* *-commutative flip--
Counts
4 → 193
Calls
4 calls:
2.0ms
(cbrt (/ 1 z))
1.0ms
(cbrt (/ 1 z))
1.0ms
(cbrt (/ 1 z))
104.0ms
(* (* (* 2.0 x) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (/ (cbrt (/ 1 z)) (- y t)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt (/ 1 z))
174.0ms
(cbrt (/ 1 z))
178.0ms
(cbrt (/ 1 z))
74.0ms
(* (* (* 2.0 x) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (/ (cbrt (/ 1 z)) (- y t)))

simplify1.5s

Counts
205 → 205
Iterations

Useful iterations: 2 (574.0ms)

IterNodesCost
02884136
18573791
235352706
done50012706

prune470.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes314.0ms

Accuracy

95.3% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.0b

bsearch1.0ms

simplify11.0ms

Iterations

Useful iterations: 4 (5.0ms)

IterNodesCost
02589
13181
23471
34063
44362
54662
64962
75062
done5062

end0.0ms

sample489.0ms

Algorithm
intervals
Results
269.0ms8737×body80valid