Details

Time bar (total: 18.7s)

sample24.0ms

Algorithm
intervals
Results
13.0ms336×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09204
121204
263204
3163204
4447204
51198204
done5000204

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
7.7b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
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 div-exp associate-*l/ associate-*r/ add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
1×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
34.0ms
(* (- 1.0 x) (- 3.0 x))
21.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series94.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 x) (- 3.0 x))
63.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify2.1s

Counts
69 → 69
Iterations

Useful iterations: 2 (648.0ms)

IterNodesCost
013620864
141517291
2215816448
done503716448

prune318.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-cbrt-cube associate-*r* associate-*l* add-exp-log
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv associate-/r* div-exp
5×pow1
4×prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
3×add-log-exp
2×clear-num frac-2neg flip3-- div-sub flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 138
Calls
3 calls:
12.0ms
(/ (- 3.0 x) 3.0)
16.0ms
(/ (- 1.0 x) y)
85.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series185.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/ (- 3.0 x) 3.0)
49.0ms
(/ (- 1.0 x) y)
65.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify2.2s

Counts
147 → 147
Iterations

Useful iterations: done (2.1s)

IterNodesCost
020237580
157635149
2189534222
done500034102

prune721.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-cbrt-cube add-exp-log
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1 associate-*l*
3×flip3-- div-sub prod-exp cbrt-unprod flip-- add-log-exp unswap-sqr associate-/l/
2×frac-times clear-num frac-2neg associate-*l/
1×pow-prod-down associate-*r/ *-commutative
Counts
3 → 222
Calls
3 calls:
21.0ms
(/ (- 3.0 x) 3.0)
74.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
18.0ms
(/ (/ (- 3.0 x) 3.0) y)

series194.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (- 3.0 x) 3.0)
67.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
66.0ms
(/ (/ (- 3.0 x) 3.0) y)

simplify2.5s

Counts
231 → 231
Iterations

Useful iterations: 2 (999.0ms)

IterNodesCost
031174109
183268649
2260666504
done500666504

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
45×*-un-lft-identity
35×times-frac
23×add-cube-cbrt
19×associate-*l*
15×difference-of-squares
10×add-cbrt-cube add-exp-log
9×distribute-lft-out--
8×associate-*r*
5×pow1 associate-/l* add-log-exp
4×flip3-- flip--
3×associate-/r* sub-neg
2×distribute-rgt-in frac-times cbrt-undiv distribute-lft-in div-exp prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg diff-log div-sub pow-prod-down associate-*l/ *-commutative
Counts
3 → 106
Calls
3 calls:
17.0ms
(- 1 (/ x 3.0))
21.0ms
(/ (- 1.0 x) y)
61.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- 1 (/ x 3.0))
55.0ms
(/ (- 1.0 x) y)
78.0ms
(* (/ (- 1.0 x) y) (- 1 (/ x 3.0)))

simplify4.4s

Counts
115 → 115
Iterations

Useful iterations: done (4.4s)

IterNodesCost
016730077
146327097
2145026449
3480926449
done500026369

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09204
110204
done10204

end0.0ms

sample812.0ms

Algorithm
intervals
Results
556.0ms10717×body80valid