Details

Time bar (total: 16.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms295×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
124250
112114
101026
9469
8224
7122
686
573
453
337
220
111
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize12.0ms

Local error

Found 1 expressions with local error:

10.6b
(/ (* x (- y z)) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp associate-*r/ associate-/l/
1×pow1 clear-num frac-2neg flip3-- prod-exp cbrt-unprod div-inv flip-- associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
12.0ms
(/ (* x (- y z)) y)

series55.0ms

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

simplify1.9s

Counts
26 → 26
Iterations
IterNodes
done5271
32970
2568
1161
059

prune130.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.1b
(/ x (/ y (- y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp
Counts
2 → 139
Calls
2 calls:
10.0ms
(/ y (- y z))
17.0ms
(/ x (/ y (- y z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ y (- y z))
67.0ms
(/ x (/ y (- y z)))

simplify2.1s

Counts
145 → 145
Iterations
IterNodes
done5000
22297
1554
0218

prune707.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
2.1b
(/ (/ y (- y z)) x)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×add-cbrt-cube div-exp
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp clear-num frac-2neg 1-exp add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 435
Calls
3 calls:
9.0ms
(/ y (- y z))
33.0ms
(/ 1 (/ (/ y (- y z)) x))
29.0ms
(/ (/ y (- y z)) x)

series233.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ y (- y z))
63.0ms
(/ 1 (/ (/ y (- y z)) x))
102.0ms
(/ (/ y (- y z)) x)

simplify2.6s

Counts
444 → 444
Iterations
IterNodes
done5000
23753
11576
0577

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.4b
(* (/ (- y z) y) x)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-/r* associate-*r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*l/ *-commutative flip--
Counts
2 → 76
Calls
2 calls:
26.0ms
(/ (- y z) y)
42.0ms
(* (/ (- y z) y) x)

series110.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- y z) y)
54.0ms
(* (/ (- y z) y) x)

simplify2.2s

Counts
82 → 82
Iterations
IterNodes
done5002
33456
2836
1276
0112

prune392.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes294.0ms

Accuracy

-6.9% (3.1b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 3.0b

bsearch78.0ms

Steps
ItersRangePoint
10
-1.3478398739564912e-281
-2.599330916107497e-292
-5.930195457290964e-283
7
-8.703467406804623e-44
-4.5710759460396457e-45
-2.8568771498115e-44

simplify3.0ms

Iterations
IterNodes
done19
119
014

end1.0ms

sample891.0ms

Algorithm
intervals
Results
483.0ms9695×body80valid