Details

Time bar (total: 12.2s)

sample38.0ms

Algorithm
intervals
Results
17.0ms288×body80valid

simplify94.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4617
5827
6927
done927

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.0b
(/ (* x (- y z)) y)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
23.0ms
(* x (- y z))
22.0ms
(/ (* x (- y z)) y)

series116.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (- y z))
64.0ms
(/ (* x (- y z)) y)

simplify2.5s

Counts
55 → 55
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
090481
1219457
2715399
33669399
done5000399

prune138.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.6b
(/ x (/ y (- y z)))

rewrite60.0ms

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-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
17.0ms
(/ y (- y z))
27.0ms
(/ x (/ y (- y z)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ y (- y z))
71.0ms
(/ x (/ y (- y z)))

simplify1.1s

Counts
145 → 145
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02182050
14591914
216191842
done50001833

prune362.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y) (- (- y z)))
3.6b
(/ x (/ (- y) (- (- y z))))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
1138×times-frac
723×add-sqr-sqrt *-un-lft-identity
519×add-cube-cbrt
468×distribute-lft-neg-in distribute-rgt-neg-in
160×associate-/r*
122×neg-mul-1
102×distribute-lft-out-- difference-of-squares
13×associate-/l*
11×associate-/r/
10×distribute-neg-frac
9×add-exp-log add-cbrt-cube
6×div-inv
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×neg-sub0 div-sub distribute-frac-neg
Counts
2 → 782
Calls
2 calls:
40.0ms
(/ (- y) (- (- y z)))
70.0ms
(/ x (/ (- y) (- (- y z))))

series115.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- y) (- (- y z)))
67.0ms
(/ x (/ (- y) (- (- y z))))

simplify1.4s

Counts
788 → 788
Iterations

Useful iterations: done (1.3s)

IterNodesCost
093314223
1205813268
done500012976

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
3.6b
(/ (/ y (- y z)) x)

rewrite167.0ms

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×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 435
Calls
3 calls:
18.0ms
(/ y (- y z))
54.0ms
(/ 1 (/ (/ y (- y z)) x))
35.0ms
(/ (/ y (- y z)) x)

series220.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(/ y (- y z))
66.0ms
(/ 1 (/ (/ y (- y z)) x))
90.0ms
(/ (/ y (- y z)) x)

simplify1.9s

Counts
444 → 444
Iterations

Useful iterations: done (1.9s)

IterNodesCost
05778467
113357371
226726527
done50016425

prune749.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

47.1% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.4b

bsearch80.0ms

Steps
ItersRangePoint
8
8.666561730544872e-18
4.405667100367089e-14
2.7317275713955442e-15
5
-2.294626366488831e+97
-1.033466382081211e+97
-1.290655561206784e+97

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02131
12731
done2731

end0.0ms

sample870.0ms

Algorithm
intervals
Results
394.0ms9526×body80valid