Details

Time bar (total: 8.2s)

sample49.0ms

Algorithm
intervals
Results
18.0ms336×body80valid

simplify74.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1157
2347
3717
41007
51067
done1067

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.6b
(* (* y (- x z)) t)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
associate-*r*
*-un-lft-identity
add-cube-cbrt
associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l/ *-commutative flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
21.0ms
(* y (- x z))
32.0ms
(* (* y (- x z)) t)

series89.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* y (- x z))
49.0ms
(* (* y (- x z)) t)

simplify1.0s

Counts
52 → 52
Iterations

Useful iterations: done (1.0s)

IterNodesCost
081452
1209428
21038374
done5000366

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
associate-*l*
*-un-lft-identity
add-cube-cbrt
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
flip3-- associate-*r/ *-commutative flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
31.0ms
(* (- x z) t)
45.0ms
(* y (* (- x z) t))

series125.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (- x z) t)
70.0ms
(* y (* (- x z) t))

simplify587.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
077417
1188403
2785337
done5000337

prune291.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.5b
(* (cbrt y) (* (- x z) t))
4.0b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
associate-*r/
associate-*l/ add-log-exp
flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
43.0ms
(* (cbrt y) (* (- x z) t))
170.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt y)
297.0ms
(cbrt y)
294.0ms
(* (cbrt y) (* (- x z) t))
126.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify1.1s

Counts
87 → 87
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01131029
1330986
21511693
done5000589

prune383.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

5.2b
(* (* t y) (- x z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
42.0ms
(* (* t y) (- x z))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* (* t y) (- x z))

simplify785.0ms

Counts
29 → 29
Iterations

Useful iterations: done (784.0ms)

IterNodesCost
064293
1185282
21084242
done5000240

prune113.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes568.0ms

Accuracy

51.5% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 6.5b

bsearch134.0ms

Steps
ItersRangePoint
12
3.2057298168910155e+109
9.302173780383902e+150
1.2796125811076182e+112
7
-4.325919977650215e-09
-8.7943745151695e-11
-4.079248937665295e-09

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01529
12223
done2223

end0.0ms

sample1.1s

Algorithm
intervals
Results
465.0ms10751×body80valid