Details

Time bar (total: 14.2s)

sample53.0ms

Algorithm
intervals
Results
11.0ms189×body80valid
11.0ms30×body1280valid
9.0ms40×body640valid
2.0ms10×body320valid
1.0ms6×body160valid

simplify54.0ms

Counts
1 → 1
Iterations
IterNodes
done79
579
471
348
224
112
07

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize22.0ms

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)

rewrite39.0ms

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:
17.0ms
(* x (/ (sin y) y))
6.0ms
(/ (sin y) y)
11.0ms
(/ (* x (/ (sin y) y)) z)

series223.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* x (/ (sin y) y))
41.0ms
(/ (sin y) y)
102.0ms
(/ (* x (/ (sin y) y)) z)

simplify1.1s

Counts
98 → 98
Iterations
IterNodes
done5000
21731
1352
0145

prune532.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite74.0ms

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:
7.0ms
(/ (sin y) y)
15.0ms
(/ (/ (sin y) y) z)
46.0ms
(* x (/ (/ (sin y) y) z))

series185.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (sin y) y)
40.0ms
(/ (/ (sin y) y) z)
115.0ms
(* x (/ (/ (sin y) y) z))

simplify1.7s

Counts
177 → 177
Iterations
IterNodes
done5000
23213
1662
0254

prune998.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite63.0ms

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:
6.0ms
(/ (sin y) y)
10.0ms
(/ z (/ (sin y) y))
31.0ms
(/ x (/ z (/ (sin y) y)))

series263.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (sin y) y)
105.0ms
(/ z (/ (sin y) y))
118.0ms
(/ x (/ z (/ (sin y) y)))

simplify1.2s

Counts
308 → 308
Iterations
IterNodes
done5000
11403
0497

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))
3.4b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*l*
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 215
Calls
4 calls:
29.0ms
(* x (/ 1 (/ y (sin y))))
4.0ms
(/ y (sin y))
8.0ms
(/ 1 (/ y (sin y)))
16.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series205.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* x (/ 1 (/ y (sin y))))
35.0ms
(/ y (sin y))
35.0ms
(/ 1 (/ y (sin y)))
78.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.6s

Counts
227 → 227
Iterations
IterNodes
done5000
24772
1818
0294

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes277.0ms

Accuracy

49.6% (1.5b remaining)

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

bsearch64.0ms

Steps
ItersRangePoint
8
-3164552054182.1987
-3322970397.4786234
-7744513270.893534

simplify2.0ms

Iterations
IterNodes
done15
115
013

end0.0ms

sample2.6s

Algorithm
intervals
Results
891.0ms5812×body80valid
670.0ms1028×body1280valid
418.0ms1053×body640valid
141.0ms573×body320valid
45.0ms293×body160valid