Details

Time bar (total: 5.5s)

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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))

series56.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (/ x (* y y)) 3.0)
22.0ms
(/ x (* y y))

simplify1.5s

Counts
74 → 74
Iterations

Useful iterations: 3 (458.0ms)

IterNodesCost
01091039
1230833
2648671
33307587
done5001587

prune113.0ms

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)

rewrite72.0ms

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

series56.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (/ (/ x y) y) 3.0)
22.0ms
(/ (/ x y) y)

simplify764.0ms

Counts
268 → 268
Iterations

Useful iterations: done (755.0ms)

IterNodesCost
03165659
16554303
218153481
done50013325

prune356.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

series40.0ms

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

simplify1.0s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
022148
136148
278108
3279108
41497108
done5000108

prune35.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 (* y (/ y x))) 3.0)
0.1b
(* y (/ y x))
0.7b
(/ 1 (* y (/ y x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity
29×add-exp-log add-cube-cbrt
25×times-frac
24×prod-diff
17×add-cbrt-cube
13×associate-*r*
10×div-exp
8×pow1 fma-neg prod-exp
7×div-inv
6×associate-*r/
5×cbrt-undiv associate-/r/ add-log-exp
4×cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp associate-*l* log1p-expm1-u associate-/l*
2×pow-flip pow-prod-down distribute-lft-out-- unswap-sqr
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* *-commutative flip-- inv-pow difference-of-squares
Counts
3 → 118
Calls
3 calls:
17.0ms
(- (/ 1 (* y (/ y x))) 3.0)
7.0ms
(* y (/ y x))
7.0ms
(/ 1 (* y (/ y x)))

series60.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(- (/ 1 (* y (/ y x))) 3.0)
19.0ms
(* y (/ y x))
17.0ms
(/ 1 (* y (/ y x)))

simplify730.0ms

Counts
127 → 127
Iterations

Useful iterations: done (727.0ms)

IterNodesCost
01701658
13841334
212901085
done5000943

prune166.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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: 1 (1.0ms)

IterNodesCost
089
1117
done117

end0.0ms

sample373.0ms

Algorithm
intervals
Results
206.0ms10629×body80valid