Details

Time bar (total: 6.9s)

sample49.0ms

Algorithm
intervals
Results
12.0ms36×body1280valid
10.0ms181×body80valid
8.0ms35×body640valid
3.0ms20×body320valid
1.0ms8×body160valid

simplify4.0ms

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
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
1.4b
(/ (* x (/ (sin y) y)) z)

rewrite56.0ms

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:
23.0ms
(/ (sin y) y)
15.0ms
(* x (/ (sin y) y))
14.0ms
(/ (* x (/ (sin y) y)) z)

series164.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (sin y) y)
63.0ms
(* x (/ (sin y) y))
74.0ms
(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Counts
92 → 92

prune194.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
3.7b
(/ x (/ z (/ (sin y) y)))

rewrite60.0ms

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:
15.0ms
(/ z (/ (sin y) y))
8.0ms
(/ (sin y) y)
19.0ms
(/ x (/ z (/ (sin y) y)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(/ z (/ (sin y) y))
27.0ms
(/ (sin y) y)
90.0ms
(/ x (/ z (/ (sin y) y)))

simplify51.0ms

Counts
302 → 302

prune790.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
2.7b
(* (/ x z) (/ (sin y) y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 77
Calls
2 calls:
8.0ms
(/ (sin y) y)
24.0ms
(* (/ x z) (/ (sin y) y))

series122.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (sin y) y)
89.0ms
(* (/ x z) (/ (sin y) y))

simplify41.0ms

Counts
83 → 83

prune178.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
3.7b
(/ x (/ z (/ 1 (/ y (sin y)))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
2211×times-frac
977×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
197×associate-/r*
76×div-inv
64×add-exp-log
44×div-exp
34×add-cbrt-cube
23×associate-/r/
20×cbrt-undiv
12×associate-/l*
6×rec-exp 1-exp
5×pow1
4×frac-2neg clear-num add-log-exp
1×pow-flip inv-pow
Counts
4 → 877
Calls
4 calls:
24.0ms
(/ z (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
11.0ms
(/ 1 (/ y (sin y)))
50.0ms
(/ x (/ z (/ 1 (/ y (sin y)))))

series212.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ z (/ 1 (/ y (sin y))))
24.0ms
(/ y (sin y))
27.0ms
(/ 1 (/ y (sin y)))
89.0ms
(/ x (/ z (/ 1 (/ y (sin y)))))

simplify147.0ms

Counts
889 → 889

prune2.1s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes189.0ms

Accuracy

95.1% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
531.0ms5793×body80valid
415.0ms1014×body1280valid
403.0ms569×body320valid
309.0ms1016×body640valid
39.0ms322×body160valid