Details

Time bar (total: 12.1s)

sample37.0ms

Algorithm
intervals
Results
16.0ms325×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2349
3849
42319
57999
639999
done50019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.1b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
36.0ms
(* (- 1.0 y) z)
28.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (- 1.0 y) z)
81.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify723.0ms

Counts
52 → 52
Iterations

Useful iterations: done (720.0ms)

IterNodesCost
093536
1226518
2881464
done5000462

prune119.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* x z))
5.8b
(* x (* z y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
sub-neg flip3-- diff-log associate-*r* *-commutative flip--
Counts
2 → 30
Calls
2 calls:
7.0ms
(- x (* x z))
38.0ms
(* x (* z y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- x (* x z))
29.0ms
(* x (* z y))

simplify2.1s

Counts
36 → 36
Iterations

Useful iterations: 3 (698.0ms)

IterNodesCost
058282
1143270
2518232
32292230
done5000230

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* x z))
4.5b
(* (* x z) y)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
sub-neg flip3-- diff-log associate-*l* *-commutative flip--
Counts
2 → 30
Calls
2 calls:
10.0ms
(- x (* x z))
35.0ms
(* (* x z) y)

series91.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- x (* x z))
54.0ms
(* (* x z) y)

simplify819.0ms

Counts
36 → 36
Iterations

Useful iterations: done (817.0ms)

IterNodesCost
061285
1159267
2985233
done5000231

prune97.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(* (cbrt x) (* z y))
3.5b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* z y)))

rewrite108.0ms

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*
add-log-exp
pow1/3 associate-*r* *-commutative
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(* (cbrt x) (* z y))
86.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* z y)))

series731.0ms

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt x)
236.0ms
(cbrt x)
137.0ms
(* (cbrt x) (* z y))
51.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* z y)))

simplify1.3s

Counts
83 → 83
Iterations

Useful iterations: done (1.3s)

IterNodesCost
085800
1247771
21150541
done5000439

prune179.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

87.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch78.0ms

Steps
ItersRangePoint
9
6.726299759608796e-85
1.4300391605158731e-78
8.891798451741654e-79
9
-1.8410053593774747e-55
-3.7909375370054273e-62
-1.8056719246554763e-55

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01847
12835
done2835

end0.0ms

sample890.0ms

Algorithm
intervals
Results
465.0ms10122×body80valid