Details

Time bar (total: 8.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms328×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2117
done117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
9.4b
(/ x (* y y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity prod-diff
19×add-cube-cbrt
16×times-frac
7×add-exp-log fma-neg add-cbrt-cube
5×div-inv
4×add-log-exp
3×associate-/l*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num associate-/r* flip-- cbrt-unprod distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
12.0ms
(- (/ x (* y y)) 3.0)
3.0ms
(/ x (* y y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (/ x (* y y)) 3.0)
23.0ms
(/ x (* y y))

simplify2.4s

Counts
74 → 74
Iterations

Useful iterations: 3 (378.0ms)

IterNodesCost
01091039
1245833
2738671
33743587
done5001587

prune111.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (/ x y) y) 3.0)
0.2b
(/ (/ x y) y)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
342×times-frac
236×add-sqr-sqrt
229×*-un-lft-identity
227×add-cube-cbrt
129×prod-diff
43×fma-neg
21×div-inv
13×associate-/l*
7×add-exp-log add-cbrt-cube
4×add-log-exp
3×cbrt-undiv div-exp associate-/r* difference-of-squares
2×pow1 expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l/ distribute-lft-out--
Counts
2 → 262
Calls
2 calls:
49.0ms
(- (/ (/ x y) y) 3.0)
6.0ms
(/ (/ x y) y)

series58.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (/ (/ x y) y) 3.0)
23.0ms
(/ (/ x y) y)

simplify1.1s

Counts
268 → 268
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03165659
17154303
223173481
done50003385

prune380.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 1 y) (/ x y) (- 3.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ 1 y) (/ x y) (- 3.0))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (/ 1 y) (/ x y) (- 3.0))

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
022148
136148
283108
3341108
41954108
done5000108

prune38.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 (/ y (/ x y))) 3.0)
0.2b
(/ y (/ x y))
0.7b
(/ 1 (/ y (/ x y)))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
1803×times-frac
990×add-sqr-sqrt
973×*-un-lft-identity
967×add-cube-cbrt
411×prod-diff
137×fma-neg
75×div-inv
57×associate-/r*
29×add-exp-log
22×associate-/r/
18×div-exp
17×add-cbrt-cube
9×cbrt-undiv
7×difference-of-squares
6×associate-/l*
5×add-log-exp
4×pow1
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
2×frac-2neg clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- inv-pow
Counts
3 → 849
Calls
3 calls:
154.0ms
(- (/ 1 (/ y (/ x y))) 3.0)
5.0ms
(/ y (/ x y))
14.0ms
(/ 1 (/ y (/ x y)))

series60.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- (/ 1 (/ y (/ x y))) 3.0)
19.0ms
(/ y (/ x y))
18.0ms
(/ 1 (/ y (/ x y)))

simplify709.0ms

Counts
858 → 858
Iterations

Useful iterations: done (671.0ms)

IterNodesCost
088221734
1202515952
done500014205

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
1117
2137
done137

end0.0ms

sample372.0ms

Algorithm
intervals
Results
207.0ms10629×body80valid