Details

Time bar (total: 15.0s)

sample50.0ms

Algorithm
intervals
Results
28.0ms332×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317511
447511
5107311
6284811
done500211

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.4b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
62.0ms
(* (- 1.0 x) (- 3.0 x))
42.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series86.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 x) (- 3.0 x))
52.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify962.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (328.0ms)

IterNodesCost
0136998
1406961
22048821
done5001821

prune225.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.0b
(/ (- 3.0 x) 3.0)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
26.0ms
(/ (- 1.0 x) y)
23.0ms
(/ (- 3.0 x) 3.0)
69.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series170.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- 1.0 x) y)
56.0ms
(/ (- 3.0 x) 3.0)
74.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.7s

Counts
147 → 147
Iterations

Useful iterations: 2 (369.0ms)

IterNodesCost
02021815
15461751
217731580
done50001580

prune349.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×*-un-lft-identity
33×times-frac
22×add-cube-cbrt
19×associate-*l*
11×difference-of-squares
9×add-exp-log add-cbrt-cube
8×associate-*r* distribute-lft-out--
5×associate-/l*
4×pow1
3×flip3-- associate-/r* flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 89
Calls
2 calls:
18.0ms
(/ (- 1.0 x) y)
92.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- 1.0 x) y)
70.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

simplify3.6s

Counts
95 → 95
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
01571240
14191194
212691088
346881088
done50001088

prune219.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 1.0 x))
0.1b
(/ 1 (/ y (- 1.0 x)))
0.1b
(* (/ 1 (/ y (- 1.0 x))) (- 1 (/ x 3.0)))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
254×times-frac
193×add-sqr-sqrt
177×*-un-lft-identity
121×add-cube-cbrt
68×associate-*l*
35×add-exp-log
29×difference-of-squares
26×associate-/r* distribute-lft-out--
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×flip3-- flip-- div-inv
8×associate-*r*
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×cbrt-unprod add-log-exp
2×distribute-rgt-in frac-times sub-neg frac-2neg distribute-lft-in associate-*r/ clear-num
1×pow-flip pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 254
Calls
3 calls:
23.0ms
(/ y (- 1.0 x))
36.0ms
(/ 1 (/ y (- 1.0 x)))
188.0ms
(* (/ 1 (/ y (- 1.0 x))) (- 1 (/ x 3.0)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (- 1.0 x))
47.0ms
(/ 1 (/ y (- 1.0 x)))
87.0ms
(* (/ 1 (/ y (- 1.0 x))) (- 1 (/ x 3.0)))

simplify1.6s

Counts
263 → 263
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03484049
18483431
222263068
done50013016

prune704.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
11413
done1413

end0.0ms

sample1.1s

Algorithm
intervals
Results
677.0ms10591×body80valid