Details

Time bar (total: 11.4s)

sample49.0ms

Algorithm
intervals
Results
16.0ms26×body1280valid
10.0ms194×body80valid
5.0ms23×body640valid
2.0ms15×body320valid
1.0ms13×body160valid

simplify3.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.3b
(/ (* x (/ (sin y) y)) z)

rewrite49.0ms

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))
10.0ms
(/ (sin y) y)
16.0ms
(/ (* x (/ (sin y) y)) z)

series229.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* x (/ (sin y) y))
48.0ms
(/ (sin y) y)
98.0ms
(/ (* x (/ (sin y) y)) z)

simplify33.0ms

Counts
92 → 92

prune251.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.2b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))
1.3b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite144.0ms

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×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
48.0ms
(* x (/ 1 (/ y (sin y))))
19.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))
41.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series232.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* x (/ 1 (/ y (sin y))))
43.0ms
(/ y (sin y))
28.0ms
(/ 1 (/ y (sin y)))
89.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify72.0ms

Counts
219 → 219

prune790.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.5b
(/ 1 (/ (/ z x) (/ (sin y) y)))
0.6b
(/ (/ z x) (/ (sin y) y))

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
2564×times-frac
1114×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
190×associate-/r*
139×div-inv
61×add-exp-log
43×div-exp
35×add-cbrt-cube
22×cbrt-undiv
19×associate-/l*
6×associate-/r/
5×rec-exp 1-exp
4×pow1
3×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 974
Calls
3 calls:
10.0ms
(/ (sin y) y)
85.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
38.0ms
(/ (/ z x) (/ (sin y) y))

series347.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (sin y) y)
110.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
182.0ms
(/ (/ z x) (/ (sin y) y))

simplify226.0ms

Counts
983 → 983

prune4.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ y (sin y)))
0.2b
(/ y (sin y))
1.3b
(/ (/ x (/ y (sin y))) z)

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
50×associate-/l*
23×div-inv
19×add-exp-log associate-/r* add-cbrt-cube
10×cbrt-undiv div-exp
5×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
3 → 293
Calls
3 calls:
19.0ms
(/ x (/ y (sin y)))
11.0ms
(/ y (sin y))
45.0ms
(/ (/ x (/ y (sin y))) z)

series196.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ x (/ y (sin y)))
25.0ms
(/ y (sin y))
87.0ms
(/ (/ x (/ y (sin y))) z)

simplify99.0ms

Counts
302 → 302

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

21.3% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.4b

bsearch0.0ms

simplify98.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
920.0ms5835×body80valid
523.0ms972×body1280valid
312.0ms1063×body640valid
165.0ms577×body320valid
41.0ms287×body160valid