Details

Time bar (total: 14.2s)

sample22.0ms

Algorithm
intervals
Results
14.0ms299×body80valid

simplify2.8s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.4b
(/ (* x (- y z)) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod insert-posit16 flip-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 51
Calls
2 calls:
22.0ms
(* x (- y z))
15.0ms
(/ (* x (- y z)) y)

series109.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (- y z))
56.0ms
(/ (* x (- y z)) y)

simplify1.9s

Counts
57 → 57
Iterations
IterNodes
done5004
33442
2706
1232
092

prune181.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.4b
(/ x (/ y (- y z)))

rewrite32.0ms

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 insert-posit16 add-log-exp
Counts
2 → 141
Calls
2 calls:
12.0ms
(/ y (- y z))
16.0ms
(/ x (/ y (- y z)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ y (- y z))
74.0ms
(/ x (/ y (- y z)))

simplify1.4s

Counts
147 → 147
Iterations
IterNodes
done5000
22303
1556
0220

prune552.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
3.4b
(/ (/ y (- y z)) x)

rewrite50.0ms

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 insert-posit16 add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 438
Calls
3 calls:
8.0ms
(/ y (- y z))
13.0ms
(/ 1 (/ (/ y (- y z)) x))
13.0ms
(/ (/ y (- y z)) x)

series190.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ y (- y z))
48.0ms
(/ 1 (/ (/ y (- y z)) x))
95.0ms
(/ (/ y (- y z)) x)

simplify2.0s

Counts
447 → 447
Iterations
IterNodes
done5007
24004
11581
0580

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (* (/ y (- y z)) (/ 1 x)))
3.5b
(* (/ y (- y z)) (/ 1 x))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
62×add-sqr-sqrt
51×div-exp
49×times-frac
47×*-un-lft-identity
35×add-cbrt-cube
32×prod-exp
31×add-cube-cbrt
21×associate-*l*
17×rec-exp 1-exp
14×cbrt-undiv
13×associate-*r*
8×pow1 associate-/r/ cbrt-unprod
7×distribute-lft-out-- difference-of-squares
6×associate-/r* associate-/l* unswap-sqr
4×div-inv
3×insert-posit16 add-log-exp
2×frac-times clear-num frac-2neg flip3-- pow-prod-down associate-*l/ associate-*r/ un-div-inv pow-flip flip--
1×*-commutative inv-pow
Counts
3 → 161
Calls
3 calls:
13.0ms
(/ y (- y z))
29.0ms
(/ 1 (* (/ y (- y z)) (/ 1 x)))
23.0ms
(* (/ y (- y z)) (/ 1 x))

series196.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ y (- y z))
57.0ms
(/ 1 (* (/ y (- y z)) (/ 1 x)))
89.0ms
(* (/ y (- y z)) (/ 1 x))

simplify1.5s

Counts
170 → 170
Iterations
IterNodes
done5000
21958
1613
0222

prune429.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes153.0ms

Accuracy

-7.2% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.9b

bsearch54.0ms

Steps
ItersRangePoint
7
1.4052738887841556e-139
1.750004160971659e-137
1.1367980230815625e-137
4
-3.3545779559118727e-13
-1.7028068208877994e-13
-1.876455341869721e-13

simplify3.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample846.0ms

Algorithm
intervals
Results
578.0ms9546×body80valid