Details

Time bar (total: 12.7s)

sample71.0ms

Algorithm
intervals
Results
21.0ms203×body80valid
15.0ms32×body1280valid
11.0ms33×body640valid
5.0ms17×body320valid
0.0ms3×body160valid

simplify39.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.9b
(/ (* x (/ (sin y) y)) z)

rewrite69.0ms

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:
22.0ms
(* x (/ (sin y) y))
13.0ms
(/ (sin y) y)
29.0ms
(/ (* x (/ (sin y) y)) z)

series234.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(* x (/ (sin y) y))
43.0ms
(/ (sin y) y)
95.0ms
(/ (* x (/ (sin y) y)) z)

simplify1.1s

Counts
92 → 92
Iterations
IterNodes
done5000
21724
1346
0139

prune582.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ y (sin y)))
0.1b
(/ y (sin y))
1.9b
(/ (/ x (/ y (sin y))) z)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
50×associate-/l*
23×div-inv
19×associate-/r* add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
5×associate-/r/
3×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
3 → 293
Calls
3 calls:
16.0ms
(/ x (/ y (sin y)))
8.0ms
(/ y (sin y))
46.0ms
(/ (/ x (/ y (sin y))) z)

series262.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ x (/ y (sin y)))
46.0ms
(/ y (sin y))
128.0ms
(/ (/ x (/ y (sin y))) z)

simplify735.0ms

Counts
302 → 302
Iterations
IterNodes
done5001
11299
0490

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (/ 1 y) (sin y)))
0.2b
(* (/ 1 y) (sin y))
1.9b
(/ (* x (* (/ 1 y) (sin y))) z)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
16×associate-*l*
15×*-un-lft-identity
14×times-frac add-cube-cbrt
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r* pow-prod-down
3×rec-exp associate-/r* 1-exp associate-*l/ add-log-exp unswap-sqr
2×associate-*r/ *-commutative div-inv
1×clear-num frac-2neg associate-/l* associate-/l/
Counts
3 → 86
Calls
3 calls:
28.0ms
(* x (* (/ 1 y) (sin y)))
35.0ms
(* (/ 1 y) (sin y))
57.0ms
(/ (* x (* (/ 1 y) (sin y))) z)

series204.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* x (* (/ 1 y) (sin y)))
39.0ms
(* (/ 1 y) (sin y))
98.0ms
(/ (* x (* (/ 1 y) (sin y))) z)

simplify1.4s

Counts
95 → 95
Iterations
IterNodes
done5000
22697
1423
0156

prune384.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
1.9b
(* x (/ (/ (sin y) y) z))

rewrite55.0ms

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:
15.0ms
(/ (/ (sin y) y) z)
7.0ms
(/ (sin y) y)
25.0ms
(* x (/ (/ (sin y) y) z))

series188.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (/ (sin y) y) z)
39.0ms
(/ (sin y) y)
103.0ms
(* x (/ (/ (sin y) y) z))

simplify1.2s

Counts
171 → 171
Iterations
IterNodes
done5001
23314
1666
0248

prune907.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes375.0ms

Accuracy

42.7% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.8b

bsearch99.0ms

Steps
ItersRangePoint
10
3.7894223338564524e+60
4.426812106667921e+76
4.0405855551710644e+60

simplify3.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample2.7s

Algorithm
intervals
Results
881.0ms982×body640valid
613.0ms1010×body1280valid
566.0ms5820×body80valid
138.0ms580×body320valid
51.0ms285×body160valid