Details

Time bar (total: 8.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms315×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2227
3417
4597
5807
6907
done907

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.9b
(/ (* x (- y z)) y)

rewrite17.0ms

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:
9.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series86.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
48.0ms
(/ (* x (- y z)) y)

simplify2.0s

Counts
55 → 55
Iterations

Useful iterations: done (2.0s)

IterNodesCost
090481
1218457
2698399
33260399
done5001398

prune90.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
5.0ms
(/ y (- y z))
11.0ms
(/ x (/ y (- y z)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ y (- y z))
46.0ms
(/ x (/ y (- y z)))

simplify923.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
02182050
14731914
216431842
done50001842

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
8×associate-*r*
7×*-un-lft-identity
4×difference-of-squares
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in times-frac associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp unswap-sqr
Counts
1 → 29
Calls
1 calls:
28.0ms
(* x (- 1 (/ z y)))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* x (- 1 (/ z y)))

simplify1.7s

Counts
32 → 32
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
062306
1148287
2325259
3837259
42793259
done5001259

prune57.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.3b
(/ 1 (/ (/ y (- y z)) x))
1.5b
(/ (/ y (- y z)) x)

rewrite72.0ms

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:
8.0ms
(/ y (- y z))
21.0ms
(/ 1 (/ (/ y (- y z)) x))
12.0ms
(/ (/ y (- y z)) x)

series159.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (- y z))
44.0ms
(/ 1 (/ (/ y (- y z)) x))
71.0ms
(/ (/ y (- y z)) x)

simplify1.8s

Counts
444 → 444
Iterations

Useful iterations: done (1.8s)

IterNodesCost
05778467
114197371
229676527
done50006515

prune654.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

16.5% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.7b

bsearch47.0ms

Steps
ItersRangePoint
8
-4.461331978707604e-303
-5.941587734717454e-307
-1.9569739926254823e-305
6
-1.134609644762367e+48
-1.5785591069619822e+47
-1.8543074289294527e+47

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02030
12730
23330
done3330

end0.0ms

sample412.0ms

Algorithm
intervals
Results
214.0ms9671×body80valid