Details

Time bar (total: 17.6s)

sample31.0ms

Algorithm
intervals
Results
15.0ms320×body80valid

simplify138.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4697
5937
61087
71107
done1107

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.2b
(/ (* x (- y z)) y)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u 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 → 71
Calls
2 calls:
25.0ms
(* x (- y z))
36.0ms
(/ (* x (- y z)) y)

series117.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (- y z))
70.0ms
(/ (* x (- y z)) y)

simplify3.6s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01401001
1300814
2850666
34488624
done5000624

prune175.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.6b
(/ x (/ y (- y z)))

rewrite55.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
15.0ms
(/ y (- y z))
30.0ms
(/ x (/ y (- y z)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (- y z))
73.0ms
(/ x (/ y (- y z)))

simplify1.5s

Counts
149 → 149
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02222078
14661939
216351867
done50001858

prune433.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b
(* x (- 1 (/ z y)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
78×prod-diff
75×*-un-lft-identity
71×add-cube-cbrt
56×times-frac
41×distribute-rgt-in distribute-lft-in
8×associate-*r*
6×div-inv
4×difference-of-squares
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp unswap-sqr
Counts
1 → 109
Calls
1 calls:
73.0ms
(* x (- 1 (/ z y)))

series57.0ms

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

simplify5.5s

Counts
112 → 112
Iterations

Useful iterations: 3 (3.2s)

IterNodesCost
02813690
15252973
211922063
343381626
done50001626

prune159.0ms

Pruning

4 alts after pruning (3 fresh and 1 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)) x))
2.6b
(/ (/ y (- y z)) x)

rewrite169.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 441
Calls
3 calls:
27.0ms
(/ y (- y z))
40.0ms
(/ 1 (/ (/ y (- y z)) x))
57.0ms
(/ (/ y (- y z)) x)

series276.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(/ y (- y z))
74.0ms
(/ 1 (/ (/ y (- y z)) x))
120.0ms
(/ (/ y (- y z)) x)

simplify2.8s

Counts
450 → 450
Iterations

Useful iterations: done (2.7s)

IterNodesCost
05838515
113447406
226866558
done50006456

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

13.4% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.4b

bsearch70.0ms

Steps
ItersRangePoint
6
6.5607638168025004e-108
4.3788851649892593e-107
2.7244071018967518e-107
7
-9.48193357278905e-162
-2.864240984184734e-163
-7.699929332195363e-162

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01731
12425
done2425

end0.0ms

sample906.0ms

Algorithm
intervals
Results
585.0ms9567×body80valid