Details

Time bar (total: 6.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify170.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3879
41319
51769
62149
72329
82359
done2359

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
7.3b
(/ (* x 2.0) (* z (- y t)))

rewrite21.0ms

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:
12.0ms
(* z (- y t))
6.0ms
(/ (* x 2.0) (* z (- y t)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
46.0ms
(/ (* x 2.0) (* z (- y t)))

simplify884.0ms

Counts
77 → 77
Iterations

Useful iterations: done (881.0ms)

IterNodesCost
01451080
1327905
21249699
done5000681

prune127.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify927.0ms

Counts
71 → 71
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01471093
13751045
21245971
done5000971

prune168.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
4.3b
(* (/ x z) (/ 2.0 (- y t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-*l*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 99
Calls
2 calls:
5.0ms
(/ 2.0 (- y t))
22.0ms
(* (/ x z) (/ 2.0 (- y t)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 2.0 (- y t))
45.0ms
(* (/ x z) (/ 2.0 (- y t)))

simplify764.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (229.0ms)

IterNodesCost
01571173
14161124
213781012
done50011012

prune250.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 2.0 (- y t)))
0.6b
(cbrt (/ 2.0 (- y t)))
0.6b
(cbrt (/ 2.0 (- y t)))
4.3b
(* (/ x z) (* (* (cbrt (/ 2.0 (- y t))) (cbrt (/ 2.0 (- y t)))) (cbrt (/ 2.0 (- y t)))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
56×add-sqr-sqrt *-un-lft-identity
54×times-frac
38×add-cube-cbrt
27×cbrt-div
25×add-exp-log
17×frac-times add-cbrt-cube
13×pow1 associate-*r/ associate-*l*
12×prod-exp cbrt-unprod
11×associate-*l/
9×distribute-lft-out-- difference-of-squares
6×pow-prod-down associate-/r/
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv flip3-- pow1/3 div-exp flip--
1×associate-*r* *-commutative
Counts
4 → 150
Calls
4 calls:
3.0ms
(cbrt (/ 2.0 (- y t)))
3.0ms
(cbrt (/ 2.0 (- y t)))
3.0ms
(cbrt (/ 2.0 (- y t)))
142.0ms
(* (/ x z) (* (* (cbrt (/ 2.0 (- y t))) (cbrt (/ 2.0 (- y t)))) (cbrt (/ 2.0 (- y t)))))

series733.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (/ 2.0 (- y t)))
206.0ms
(cbrt (/ 2.0 (- y t)))
204.0ms
(cbrt (/ 2.0 (- y t)))
122.0ms
(* (/ x z) (* (* (cbrt (/ 2.0 (- y t))) (cbrt (/ 2.0 (- y t)))) (cbrt (/ 2.0 (- y t)))))

simplify796.0ms

Counts
162 → 162
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
02352989
15382890
214412197
done50012197

prune504.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes181.0ms

Accuracy

48% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 5.3b

bsearch68.0ms

Steps
ItersRangePoint
9
7.057717429749845e-42
3.5276053561013562e-34
4.536023366252226e-37
6
-7.081229578003571e-128
-4.508223937620286e-129
-6.93799498024277e-128

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02035
12335
done2335

end0.0ms

sample489.0ms

Algorithm
intervals
Results
271.0ms8761×body80valid