Details

Time bar (total: 13.0s)

sample46.0ms

Algorithm
intervals
Results
18.0ms334×body80valid

simplify99.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1157
2347
3717
4977
51037
done1037

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z y))
8.8b
(* (- (* x y) (* z y)) t)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
8.0ms
(- (* x y) (* z y))
28.0ms
(* (- (* x y) (* z y)) t)

series130.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x y) (* z y))
91.0ms
(* (- (* x y) (* z y)) t)

simplify2.3s

Counts
40 → 40
Iterations

Useful iterations: 3 (895.0ms)

IterNodesCost
060467
1157365
2581327
32722325
done5002325

prune136.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
40.0ms
(* t (- x z))
58.0ms
(* y (* t (- x z)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* t (- x z))
53.0ms
(* y (* t (- x z)))

simplify2.0s

Counts
60 → 60
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
089535
1204517
2625451
33002451
done5001451

prune146.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

4.8b
(* (* y t) (- x z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
34.0ms
(* (* y t) (- x z))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (* y t) (- x z))

simplify2.6s

Counts
29 → 29
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
064293
1175282
2670236
32728236
done5000236

prune114.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
1.2b
(* (* (* y t) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
4.0b
(* (* y t) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite440.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
9.0ms
(cbrt (- x z))
8.0ms
(cbrt (- x z))
311.0ms
(* (* (* y t) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
94.0ms
(* (* y t) (* (cbrt (- x z)) (cbrt (- x z))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (- x z))
221.0ms
(cbrt (- x z))
65.0ms
(* (* (* y t) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
134.0ms
(* (* y t) (* (cbrt (- x z)) (cbrt (- x z))))

simplify1.9s

Counts
130 → 130
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01992730
15282629
217942217
done50002050

prune456.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes300.0ms

Accuracy

47.6% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 6.6b

bsearch83.0ms

Steps
ItersRangePoint
7
5.286892203419643e+22
2.0544205719112106e+24
1.3811451339360519e+23
6
-3.020437118939684e+152
-1.9690694688920877e+151
-7.874814358430001e+151

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01733
12623
done2623

end0.0ms

sample1.3s

Algorithm
intervals
Results
609.0ms10542×body80valid