Details

Time bar (total: 2.7s)

sample22.0ms

Algorithm
intervals
Results
8.0ms348×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433
done1433

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.0b
(* t (* y (- x z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
pow1 add-exp-log add-cbrt-cube
sub-neg associate-*r/ associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
22.0ms
(* y (- x z))
38.0ms
(* t (* y (- x z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* y (- x z))
49.0ms
(* t (* y (- x z)))

simplify48.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04021084
11572663
25001645
done5001645

prune124.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* t (* x y)) (* t (* (- z) y)))
6.2b
(* t (* x y))
6.3b
(* t (* (- z) y))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
distribute-lft-neg-out expm1-log1p-u distribute-rgt-neg-out log1p-expm1-u
associate-*r* *-commutative
+-commutative fma-def flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 58
Calls
3 calls:
17.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
18.0ms
(* t (* x y))
18.0ms
(* t (* (- z) y))

series116.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
25.0ms
(* t (* x y))
28.0ms
(* t (* (- z) y))

simplify43.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0267305
11118259
25001253
done5001253

prune138.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

6.3b
(* (* t y) (- x z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-cbrt-cube
associate-*r*
pow-prod-down prod-exp cbrt-unprod
sub-neg associate-*r/
expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
32.0ms
(* (* t y) (- x z))

series44.0ms

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

simplify40.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0303430
11277281
25002269
done5002269

prune65.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

6.3b
(* t (* (- z) y))
12.0b
(cbrt (* t (* x y)))
12.0b
(cbrt (* t (* x y)))
12.0b
(cbrt (* t (* x y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
distribute-lft-neg-out associate-*r* *-commutative distribute-rgt-neg-out
Counts
4 → 54
Calls
4 calls:
18.0ms
(* t (* (- z) y))
10.0ms
(cbrt (* t (* x y)))
11.0ms
(cbrt (* t (* x y)))
10.0ms
(cbrt (* t (* x y)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* t (* (- z) y))
98.0ms
(cbrt (* t (* x y)))
96.0ms
(cbrt (* t (* x y)))
96.0ms
(cbrt (* t (* x y)))

simplify94.0ms

Counts
66 → 66
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0211339
1713303
23583294
35001279
done5001279

prune189.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes421.0ms

Accuracy

37.6% (4.5b remaining)

Error of 4.5b against oracle of 0.0b and baseline of 7.2b

bsearch60.0ms

Steps
ItersRangePoint
5
1.1185588446697183e+99
3.0561487330222832e+99
1.3299380315149737e+99
9
-4.944831102620533e-70
-1.6337444706395285e-77
-2.9777692951452427e-72

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03824
14624
25024
35024
done5024

end0.0ms

sample605.0ms

Algorithm
intervals
Results
248.0ms10699×body80valid