Details

Time bar (total: 31.1s)

sample35.0ms

Algorithm
intervals
Results
15.0ms329×body80valid

simplify11.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
10.2b
(/ x (* y y))

rewrite53.0ms

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:
42.0ms
(- (/ x (* y y)) 3.0)
8.0ms
(/ x (* y y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (/ x (* y y)) 3.0)
28.0ms
(/ x (* y y))

simplify2.8s

Counts
74 → 74
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01091039
1233833
2506692
31639587
done5000566

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite157.0ms

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:
98.0ms
(- (/ (/ x y) y) 3.0)
22.0ms
(/ (/ x y) y)

series88.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (/ (/ x y) y) 3.0)
48.0ms
(/ (/ x y) y)

simplify3.6s

Counts
268 → 268
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
03165659
17024303
214713610
347092895
done50002895

prune529.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

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)))

rewrite1.5s

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:
754.0ms
(- (/ (/ 1 1) (/ y (/ x y))) 3.0)
12.0ms
(/ y (/ x y))
54.0ms
(/ (/ 1 1) (/ y (/ x y)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (/ (/ 1 1) (/ y (/ x y))) 3.0)
34.0ms
(/ y (/ x y))
32.0ms
(/ (/ 1 1) (/ y (/ x y)))

simplify1.3s

Counts
3090 → 3090
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0284698569
done500089283

prune15.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
129×times-frac
82×add-sqr-sqrt
77×*-un-lft-identity
75×add-cube-cbrt
68×add-exp-log
54×prod-diff
41×div-exp
29×add-cbrt-cube
18×fma-neg
16×prod-exp
15×1-exp
13×associate-*l* associate-/l*
12×cbrt-undiv div-inv
6×rec-exp associate-*l/ cbrt-unprod
5×pow1 associate-/r/ add-log-exp
3×expm1-log1p-u associate-*r* log1p-expm1-u
2×unswap-sqr
1×sub-neg flip3-- frac-2neg diff-log pow-prod-down clear-num associate-/r* *-commutative flip-- associate-/l/ distribute-lft-out-- difference-of-squares
Counts
3 → 190
Calls
3 calls:
60.0ms
(- (/ (/ 1 1) (* (/ y x) y)) 3.0)
15.0ms
(* (/ y x) y)
18.0ms
(/ (/ 1 1) (* (/ y x) y))

series86.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (/ (/ 1 1) (* (/ y x) y)) 3.0)
30.0ms
(* (/ y x) y)
24.0ms
(/ (/ 1 1) (* (/ y x) y))

simplify3.4s

Counts
199 → 199
Iterations

Useful iterations: done (3.4s)

IterNodesCost
02673417
15662207
210421750
333101308
done50001299

prune359.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample712.0ms

Algorithm
intervals
Results
333.0ms10619×body80valid