Details

Time bar (total: 6.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms274×body80valid

simplify182.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3879
41319
51769
62149
72329
82359
done2359

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize7.0ms

Local error

Found 1 expressions with local error:

8.2b
(/ (* x 2.0) (* z (- y t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×associate-*r/ associate-/r/
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
7.0ms
(/ (* x 2.0) (* z (- y t)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (* x 2.0) (* z (- y t)))

simplify880.0ms

Counts
28 → 28
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
069359
1207351
21034261
done5000261

prune61.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.9b
(/ (/ (* x 2.0) z) (- y t))

rewrite15.0ms

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))

series44.0ms

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

simplify1.0s

Counts
71 → 71
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
01471093
13751045
21246971
done5000971

prune165.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
5.2b
(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 z) (cbrt (- y t))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
196×times-frac
156×add-sqr-sqrt
124×*-un-lft-identity
110×associate-*r*
92×add-cube-cbrt
84×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
20×cbrt-div
16×distribute-lft-out-- difference-of-squares
15×cbrt-undiv div-exp associate-*l*
12×prod-exp cbrt-unprod
10×flip3-- associate-/r/ flip-- div-inv unswap-sqr
6×pow1
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 218
Calls
4 calls:
2.0ms
(cbrt (- y t))
2.0ms
(cbrt (- y t))
2.0ms
(cbrt (- y t))
99.0ms
(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 z) (cbrt (- y t))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- y t))
147.0ms
(cbrt (- y t))
151.0ms
(cbrt (- y t))
79.0ms
(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 z) (cbrt (- y t))))

simplify672.0ms

Counts
230 → 230
Iterations

Useful iterations: done (665.0ms)

IterNodesCost
03864866
112474659
done50014575

prune715.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
7.4b
(* x (/ (/ 2.0 z) (- y t)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 197
Calls
2 calls:
10.0ms
(/ (/ 2.0 z) (- y t))
40.0ms
(* x (/ (/ 2.0 z) (- y t)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (/ 2.0 z) (- y t))
51.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify903.0ms

Counts
203 → 203
Iterations

Useful iterations: 2 (346.0ms)

IterNodesCost
02782857
17222658
220612522
done50002522

prune496.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes253.0ms

Accuracy

56.3% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.4b

bsearch70.0ms

Steps
ItersRangePoint
7
8.260126993332981e+21
8.006616795100256e+23
8.624013021746182e+21
8
-3.0985365288236678e+125
-5.8085154147629945e+121
-6.309838351206638e+121

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01835
12327
done2327

end0.0ms

sample485.0ms

Algorithm
intervals
Results
265.0ms8733×body80valid