Details

Time bar (total: 14.8s)

sample56.0ms

Algorithm
intervals
Results
13.0ms189×body80valid
12.0ms30×body1280valid
12.0ms40×body640valid
2.0ms10×body320valid
1.0ms6×body160valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07183
112183
224183
348183
471183
579183
done79183

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize14.0ms

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)

rewrite48.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
22.0ms
(* x (/ (sin y) y))
12.0ms
(/ (sin y) y)
11.0ms
(/ (* x (/ (sin y) y)) z)

series258.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(* x (/ (sin y) y))
51.0ms
(/ (sin y) y)
106.0ms
(/ (* x (/ (sin y) y)) z)

simplify1.4s

Counts
98 → 98
Iterations

Useful iterations: done (1.4s)

IterNodesCost
014523344
135221406
2173121004
done500020769

prune650.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite57.0ms

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×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg
1×pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 168
Calls
3 calls:
6.0ms
(/ (sin y) y)
14.0ms
(/ (/ (sin y) y) z)
30.0ms
(* x (/ (/ (sin y) y) z))

series206.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (sin y) y)
46.0ms
(/ (/ (sin y) y) z)
106.0ms
(* x (/ (/ (sin y) y) z))

simplify2.1s

Counts
177 → 177
Iterations

Useful iterations: done (2.1s)

IterNodesCost
025455367
166251289
2321350364
done500050289

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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)))

rewrite64.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
Counts
3 → 299
Calls
3 calls:
7.0ms
(/ (sin y) y)
8.0ms
(/ z (/ (sin y) y))
23.0ms
(/ x (/ z (/ (sin y) y)))

series283.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (sin y) y)
84.0ms
(/ z (/ (sin y) y))
149.0ms
(/ x (/ z (/ (sin y) y)))

simplify1.4s

Counts
308 → 308
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0497138892
11403131138
done5000126557

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 81
Calls
2 calls:
7.0ms
(/ (sin y) y)
22.0ms
(* (/ x z) (/ (sin y) y))

series145.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (sin y) y)
106.0ms
(* (/ x z) (/ (sin y) y))

simplify1.7s

Counts
87 → 87
Iterations

Useful iterations: done (1.7s)

IterNodesCost
014423143
139221528
2217220685
done500120635

prune438.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes378.0ms

Accuracy

49.7% (1.5b remaining)

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

bsearch41.0ms

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
915.0ms5812×body80valid
472.0ms1028×body1280valid
453.0ms1053×body640valid
154.0ms573×body320valid
53.0ms293×body160valid