Details

Time bar (total: 16.8s)

sample51.0ms

Algorithm
intervals
Results
11.0ms30×body1280valid
11.0ms181×body80valid
9.0ms35×body640valid
4.0ms21×body320valid
1.0ms11×body160valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1128
2248
3488
4718
5798
done798

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.4b
(/ (* x (/ (sin y) y)) z)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
20.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

series163.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* x (/ (sin y) y))
31.0ms
(/ (sin y) y)
76.0ms
(/ (* x (/ (sin y) y)) z)

simplify788.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
0139893
1346861
21728759
done5001759

prune295.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
22.0ms
(/ z (/ (sin y) y))
16.0ms
(/ (sin y) y)
29.0ms
(/ x (/ z (/ (sin y) y)))

series260.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(/ z (/ (sin y) y))
46.0ms
(/ (sin y) y)
107.0ms
(/ x (/ z (/ (sin y) y)))

simplify938.0ms

Counts
302 → 302
Iterations

Useful iterations: done (929.0ms)

IterNodesCost
04915137
113974859
done50004603

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
2.2b
(/ x (/ z (* (sin y) (/ 1 y))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
49×add-exp-log
38×add-sqr-sqrt
32×*-un-lft-identity
31×add-cube-cbrt add-cbrt-cube
22×div-exp
13×cbrt-undiv associate-*r*
12×prod-exp
11×associate-/r/
10×associate-/r*
7×div-inv
6×associate-*r/ un-div-inv cbrt-unprod associate-/l*
5×pow1
3×rec-exp 1-exp associate-*l* add-log-exp unswap-sqr
2×frac-2neg clear-num
1×pow-prod-down *-commutative
Counts
3 → 123
Calls
3 calls:
27.0ms
(/ z (* (sin y) (/ 1 y)))
37.0ms
(* (sin y) (/ 1 y))
40.0ms
(/ x (/ z (* (sin y) (/ 1 y))))

series282.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(/ z (* (sin y) (/ 1 y)))
45.0ms
(* (sin y) (/ 1 y))
110.0ms
(/ x (/ z (* (sin y) (/ 1 y))))

simplify6.3s

Counts
132 → 132
Iterations

Useful iterations: 2 (942.0ms)

IterNodesCost
02181686
15661578
247771201
done50011201

prune387.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.5b
(* (/ 1 z) (* x (/ (sin y) y)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity
22×prod-exp
16×associate-*l*
14×associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num
Counts
3 → 104
Calls
3 calls:
27.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
49.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* x (/ (sin y) y))
32.0ms
(/ (sin y) y)
97.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

simplify1.7s

Counts
113 → 113
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01711242
14671174
22611940
done5001936

prune690.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes206.0ms

Accuracy

43.2% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.9b

bsearch39.0ms

Steps
ItersRangePoint
5
4.874224743411218e-110
1.819997012692534e-109
8.643245776965943e-110

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01624
12122
22222
done2222

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s5852×body80valid
536.0ms1009×body640valid
482.0ms987×body1280valid
142.0ms540×body320valid
49.0ms292×body160valid