Details

Time bar (total: 9.7s)

sample21.0ms

Algorithm
intervals
Results
12.0ms294×body80valid

simplify49.0ms

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: 15.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.3b
(/ (* x (- y z)) y)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
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:
24.0ms
(* x (- y z))
22.0ms
(/ (* x (- y z)) y)

series111.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* x (- y z))
62.0ms
(/ (* x (- y z)) y)

simplify2.3s

Counts
55 → 55
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
090481
1219457
2715399
33669399
done5000399

prune119.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
1.5b
(* x (/ (- y z) y))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
26.0ms
(/ (- y z) y)
39.0ms
(* x (/ (- y z) y))

series103.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (- y z) y)
68.0ms
(* x (/ (- y z) y))

simplify1.7s

Counts
82 → 82
Iterations

Useful iterations: 2 (125.0ms)

IterNodesCost
0111813
1259769
2751706
32537706
done5000706

prune205.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1 (/ z y))
1.5b
(* x (- 1 (/ z y)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
12×*-un-lft-identity
associate-*r* difference-of-squares
pow1 add-exp-log add-cube-cbrt times-frac add-cbrt-cube add-log-exp
sub-neg associate-*l*
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
18.0ms
(- 1 (/ z y))
66.0ms
(* x (- 1 (/ z y)))

series51.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1 (/ z y))
34.0ms
(* x (- 1 (/ z y)))

simplify2.0s

Counts
52 → 52
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
074499
1177465
2401427
31128427
done5000427

prune97.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.5b
(/ x (/ y (- y z)))

rewrite47.0ms

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/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
11.0ms
(/ y (- y z))
29.0ms
(/ x (/ y (- y z)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ y (- y z))
65.0ms
(/ x (/ y (- y z)))

simplify1.3s

Counts
145 → 145
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02182050
14591914
216191842
done50001833

prune383.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

17.7% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.2b

bsearch18.0ms

Steps
ItersRangePoint
6
7.37838564378281e-301
5.698806164872307e-300
1.5039508245390077e-300
0
-1.1680172252431395e-122
-1.1611631838346019e-122
-1.1645902045388707e-122

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01629
12323
done2323

end0.0ms

sample760.0ms

Algorithm
intervals
Results
382.0ms9541×body80valid