Details

Time bar (total: 10.5s)

sample17.0ms

Algorithm
intervals
Results
8.0ms335×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317411
446011
5107911
6307111
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.2b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u 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 → 85
Calls
2 calls:
20.0ms
(* (- 1.0 x) (- 3.0 x))
22.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series81.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 x) (- 3.0 x))
51.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.1s

Counts
91 → 91
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01881602
14941390
223041157
done50001139

prune185.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
43×*-un-lft-identity
36×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1 associate-/r/
4×prod-exp cbrt-unprod
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l/ unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 114
Calls
3 calls:
6.0ms
(/ 3.0 (- 3.0 x))
17.0ms
(* y (/ 3.0 (- 3.0 x)))
15.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

series126.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ 3.0 (- 3.0 x))
41.0ms
(* y (/ 3.0 (- 3.0 x)))
54.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

simplify955.0ms

Counts
123 → 123
Iterations

Useful iterations: done (951.0ms)

IterNodesCost
02081511
15181437
215811277
done50001271

prune296.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ 3.0 (- 3.0 x)))
0.0b
(expm1 (log1p (/ 3.0 (- 3.0 x))))
0.1b
(* y (expm1 (log1p (/ 3.0 (- 3.0 x)))))
0.1b
(/ (- 1.0 x) (* y (expm1 (log1p (/ 3.0 (- 3.0 x))))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt
6×pow1
5×expm1-log1p-u times-frac associate-/l*
4×log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×log1p-udef expm1-log1p flip3-- frac-2neg div-sub log1p-expm1 pow-prod-down clear-num associate-/r* *-commutative flip-- div-inv expm1-udef unswap-sqr
Counts
4 → 72
Calls
4 calls:
0.0ms
(log1p (/ 3.0 (- 3.0 x)))
0.0ms
(expm1 (log1p (/ 3.0 (- 3.0 x))))
3.0ms
(* y (expm1 (log1p (/ 3.0 (- 3.0 x)))))
10.0ms
(/ (- 1.0 x) (* y (expm1 (log1p (/ 3.0 (- 3.0 x))))))

series689.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(log1p (/ 3.0 (- 3.0 x)))
220.0ms
(expm1 (log1p (/ 3.0 (- 3.0 x))))
96.0ms
(* y (expm1 (log1p (/ 3.0 (- 3.0 x)))))
244.0ms
(/ (- 1.0 x) (* y (expm1 (log1p (/ 3.0 (- 3.0 x))))))

simplify2.0s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01681233
14011054
21208914
34642905
done5000905

prune230.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
43×*-un-lft-identity
36×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1 associate-/r/
4×prod-exp cbrt-unprod
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l/ unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 114
Calls
3 calls:
6.0ms
(/ 3.0 (- 3.0 x))
18.0ms
(* y (/ 3.0 (- 3.0 x)))
14.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

series132.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 3.0 (- 3.0 x))
41.0ms
(* y (/ 3.0 (- 3.0 x)))
55.0ms
(/ (- 1.0 x) (* y (/ 3.0 (- 3.0 x))))

simplify978.0ms

Counts
123 → 123
Iterations

Useful iterations: done (974.0ms)

IterNodesCost
02081511
15181437
215811277
done50001271

prune271.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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
0911
11011
done1011

end0.0ms

sample422.0ms

Algorithm
intervals
Results
257.0ms10669×body80valid