Details

Time bar (total: 15.0s)

sample86.0ms

Algorithm
intervals
Results
25.0ms189×body80valid
18.0ms30×body1280valid
17.0ms40×body640valid
3.0ms10×body320valid
1.0ms6×body160valid

simplify42.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07183
112183
224183
348183
471183
579183
done79183

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.4b
(/ (* x (/ (sin y) y)) z)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
13×associate-*r*
6×cbrt-undiv associate-/r* div-exp
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
23.0ms
(* x (/ (sin y) y))
7.0ms
(/ (sin y) y)
20.0ms
(/ (* x (/ (sin y) y)) z)

series253.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* x (/ (sin y) y))
39.0ms
(/ (sin y) y)
126.0ms
(/ (* x (/ (sin y) y)) z)

simplify1.7s

Counts
92 → 92
Iterations

Useful iterations: done (1.7s)

IterNodesCost
013922012
134620099
2172419697
done500019537

prune482.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ (/ (sin y) y) z)
2.0b
(* x (/ (/ (sin y) y) z))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×*-un-lft-identity add-cube-cbrt
43×associate-*r*
19×add-cbrt-cube add-exp-log
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×clear-num frac-2neg
1×pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
16.0ms
(/ (sin y) y)
21.0ms
(/ (/ (sin y) y) z)
38.0ms
(* x (/ (/ (sin y) y) z))

series196.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (sin y) y)
45.0ms
(/ (/ (sin y) y) z)
101.0ms
(* x (/ (/ (sin y) y) z))

simplify1.8s

Counts
171 → 171
Iterations

Useful iterations: done (1.8s)

IterNodesCost
024854035
166650007
2330849002
done500048842

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ z (/ (sin y) y))
2.2b
(/ x (/ z (/ (sin y) y)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
60×associate-/r*
23×div-inv
19×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 clear-num frac-2neg add-log-exp
Counts
3 → 293
Calls
3 calls:
6.0ms
(/ (sin y) y)
7.0ms
(/ z (/ (sin y) y))
21.0ms
(/ x (/ z (/ (sin y) y)))

series314.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (sin y) y)
124.0ms
(/ z (/ (sin y) y))
139.0ms
(/ x (/ z (/ (sin y) y)))

simplify1.5s

Counts
302 → 302
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0491137560
11397129831
done5001125195

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
3.0b
(* (/ x z) (/ (sin y) y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 77
Calls
2 calls:
11.0ms
(/ (sin y) y)
33.0ms
(* (/ x z) (/ (sin y) y))

series150.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (sin y) y)
109.0ms
(* (/ x z) (/ (sin y) y))

simplify2.3s

Counts
83 → 83
Iterations

Useful iterations: done (2.2s)

IterNodesCost
014022255
138920665
2243719982
done500119942

prune414.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes320.0ms

Accuracy

49.7% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.0b

bsearch46.0ms

Steps
ItersRangePoint
8
-3164552054182.1987
-3322970397.4786234
-7744513270.893534

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
013434
115434
done15434

end0.0ms

sample2.3s

Algorithm
intervals
Results
637.0ms5812×body80valid
587.0ms1028×body1280valid
466.0ms1053×body640valid
138.0ms573×body320valid
130.0ms293×body160valid