Details

Time bar (total: 11.9s)

sample76.0ms

Algorithm
intervals
Results
18.0ms33×body1280valid
16.0ms189×body80valid
13.0ms34×body640valid
5.0ms16×body320valid
1.0msbody160valid

simplify74.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.9b
(/ (* x (/ (sin y) y)) z)

rewrite69.0ms

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*
cbrt-undiv div-exp associate-/r*
pow1
prod-exp cbrt-unprod associate-/l*
associate-*l* div-inv add-log-exp
frac-2neg associate-*r/ clear-num unswap-sqr
pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
15.0ms
(* x (/ (sin y) y))
18.0ms
(/ (sin y) y)
34.0ms
(/ (* x (/ (sin y) y)) z)

series235.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* x (/ (sin y) y))
46.0ms
(/ (sin y) y)
113.0ms
(/ (* x (/ (sin y) y)) z)

simplify807.0ms

Counts
92 → 92

prune348.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

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
associate-/l*
associate-/r/
pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
18.0ms
(/ z (/ (sin y) y))
18.0ms
(/ (sin y) y)
44.0ms
(/ x (/ z (/ (sin y) y)))

series272.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(/ z (/ (sin y) y))
49.0ms
(/ (sin y) y)
126.0ms
(/ x (/ z (/ (sin y) y)))

simplify724.0ms

Counts
302 → 302

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
2.9b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite138.0ms

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
pow1 associate-/l*
rec-exp 1-exp cbrt-unprod
unswap-sqr
add-log-exp
frac-2neg associate-*l* clear-num
associate-*r/ associate-/r/ un-div-inv associate-/l/
pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
48.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
15.0ms
(/ 1 (/ y (sin y)))
49.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series273.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* x (/ 1 (/ y (sin y))))
42.0ms
(/ y (sin y))
52.0ms
(/ 1 (/ y (sin y)))
107.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.3s

Counts
219 → 219

prune663.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
0.5b
(/ 1 (/ z (* x (/ (sin y) y))))
2.9b
(/ z (* x (/ (sin y) y)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*r*
12×associate-/r*
10×prod-exp
associate-/l*
div-inv
pow1
associate-*r/ associate-/r/ cbrt-unprod
rec-exp 1-exp add-log-exp
frac-2neg associate-*l* clear-num
unswap-sqr
pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 147
Calls
4 calls:
16.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
48.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
22.0ms
(/ z (* x (/ (sin y) y)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* x (/ (sin y) y))
31.0ms
(/ (sin y) y)
128.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
166.0ms
(/ z (* x (/ (sin y) y)))

simplify1.2s

Counts
159 → 159

prune456.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes254.0ms

Accuracy

0% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify668.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
841.0ms1052×body1280valid
613.0ms5840×body80valid
413.0ms1013×body640valid
126.0ms544×body320valid
40.0ms265×body160valid