Details

Time bar (total: 32.1s)

sample36.0ms

Algorithm
intervals
Results
16.0ms338×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2117
done117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
12.1b
(/ x (* y y))

rewrite64.0ms

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:
45.0ms
(- (/ x (* y y)) 3.0)
16.0ms
(/ x (* y y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (/ x (* y y)) 3.0)
41.0ms
(/ x (* y y))

simplify2.7s

Counts
74 → 74
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01091039
1233833
2506692
31639587
done5000566

prune144.0ms

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)
0.1b
(/ (/ x y) y)

rewrite116.0ms

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:
86.0ms
(- (/ (/ x y) y) 3.0)
11.0ms
(/ (/ x y) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (/ (/ x y) y) 3.0)
39.0ms
(/ (/ x y) y)

simplify3.6s

Counts
268 → 268
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
03165659
17024303
214713610
347092895
done50002895

prune581.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×times-frac
24×add-exp-log
19×*-un-lft-identity
17×add-cube-cbrt
14×add-cbrt-cube
13×associate-*r* associate-*l*
8×div-exp prod-exp
6×unswap-sqr
4×pow1 cbrt-undiv cbrt-unprod add-log-exp
3×prod-diff
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u div-inv
1×frac-times sub-neg flip3-- fma-neg diff-log associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip--
Counts
2 → 77
Calls
2 calls:
33.0ms
(- (* (/ x y) (/ 1 y)) 3.0)
49.0ms
(* (/ x y) (/ 1 y))

series110.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(- (* (/ x y) (/ 1 y)) 3.0)
42.0ms
(* (/ x y) (/ 1 y))

simplify3.3s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0154952
1393743
21024629
32921598
done5000598

prune210.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (/ 1 1) (/ y (/ x y))) 3.0)
0.2b
(/ y (/ x y))
0.6b
(/ (/ 1 1) (/ y (/ x y)))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
9322×times-frac
4545×add-sqr-sqrt
4497×*-un-lft-identity
4483×add-cube-cbrt
1731×prod-diff
577×fma-neg
495×div-inv
72×associate-/r/
68×add-exp-log
57×div-exp associate-/r*
29×add-cbrt-cube
18×cbrt-undiv
16×associate-/l* difference-of-squares
15×1-exp
6×rec-exp
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log flip-- associate-/l/ distribute-lft-out--
Counts
3 → 3081
Calls
3 calls:
593.0ms
(- (/ (/ 1 1) (/ y (/ x y))) 3.0)
9.0ms
(/ y (/ x y))
63.0ms
(/ (/ 1 1) (/ y (/ x y)))

series84.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (/ (/ 1 1) (/ y (/ x y))) 3.0)
23.0ms
(/ y (/ x y))
20.0ms
(/ (/ 1 1) (/ y (/ x y)))

simplify1.3s

Counts
3090 → 3090
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0284698569
done500089283

prune17.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01730
12028
done2028

end0.0ms

sample868.0ms

Algorithm
intervals
Results
436.0ms10672×body80valid