Details

Time bar (total: 12.5s)

sample77.0ms

Algorithm
intervals
Results
35.0ms36×body1280valid
14.0ms197×body80valid
7.0ms29×body640valid
4.0ms16×body320valid
1.0ms10×body160valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1128
2248
3488
4718
5798
done798

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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:
19.0ms
(* x (/ (sin y) y))
13.0ms
(/ (sin y) y)
20.0ms
(/ (* x (/ (sin y) y)) z)

series202.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* x (/ (sin y) y))
37.0ms
(/ (sin y) y)
85.0ms
(/ (* x (/ (sin y) y)) z)

simplify804.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (227.0ms)

IterNodesCost
0139893
1346861
21728759
done5001759

prune304.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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:
10.0ms
(/ z (/ (sin y) y))
8.0ms
(/ (sin y) y)
17.0ms
(/ x (/ z (/ (sin y) y)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ z (/ (sin y) y))
27.0ms
(/ (sin y) y)
107.0ms
(/ x (/ z (/ (sin y) y)))

simplify831.0ms

Counts
302 → 302
Iterations

Useful iterations: done (820.0ms)

IterNodesCost
04915137
113974859
done50004603

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.0b
(/ x (pow (/ z (/ (sin y) y)) 1))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
492×times-frac
246×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
176×unpow-prod-down
64×associate-/r*
23×div-inv
22×add-exp-log
12×div-exp add-cbrt-cube
9×associate-/l*
5×cbrt-undiv associate-/r/
4×sqr-pow
3×pow1 frac-2neg pow-exp clear-num add-log-exp
1×pow-to-exp
Counts
3 → 308
Calls
3 calls:
9.0ms
(/ z (/ (sin y) y))
8.0ms
(/ (sin y) y)
34.0ms
(/ x (pow (/ z (/ (sin y) y)) 1))

series235.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ z (/ (sin y) y))
37.0ms
(/ (sin y) y)
112.0ms
(/ x (pow (/ z (/ (sin y) y)) 1))

simplify894.0ms

Counts
317 → 317
Iterations

Useful iterations: done (878.0ms)

IterNodesCost
06056114
114275132
done50004868

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))
2.5b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×rec-exp 1-exp associate-/r* un-div-inv add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 89
Calls
3 calls:
32.0ms
(* x (* (sin y) (/ 1 y)))
17.0ms
(* (sin y) (/ 1 y))
45.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series207.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* x (* (sin y) (/ 1 y)))
30.0ms
(* (sin y) (/ 1 y))
94.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify3.4s

Counts
98 → 98
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01581114
14321028
23259717
done5000705

prune279.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes217.0ms

Accuracy

42.1% (1.7b remaining)

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

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01729
12227
done2227

end0.0ms

sample2.3s

Algorithm
intervals
Results
578.0ms5797×body80valid
496.0ms1021×body1280valid
454.0ms562×body320valid
308.0ms1060×body640valid
41.0ms302×body160valid