Details

Time bar (total: 11.5s)

sample52.0ms

Algorithm
intervals
Results
16.0ms190×body80valid
11.0ms34×body1280valid
8.0ms35×body640valid
2.0ms13×body320valid
1.0ms9×body160valid

simplify45.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.1b
(/ (* x (/ (sin y) y)) z)

rewrite87.0ms

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:
31.0ms
(* x (/ (sin y) y))
17.0ms
(/ (sin y) y)
19.0ms
(/ (* x (/ (sin y) y)) z)

series228.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* x (/ (sin y) y))
34.0ms
(/ (sin y) y)
114.0ms
(/ (* x (/ (sin y) y)) z)

simplify789.0ms

Counts
92 → 92

prune271.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
2.6b
(* x (/ (/ (sin y) y) z))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
29.0ms
(/ (/ (sin y) y) z)
25.0ms
(/ (sin y) y)
50.0ms
(* x (/ (/ (sin y) y) z))

series496.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (/ (sin y) y) z)
27.0ms
(/ (sin y) y)
432.0ms
(* x (/ (/ (sin y) y) z))

simplify973.0ms

Counts
171 → 171

prune541.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.6b
(/ x (/ z (/ (sin y) y)))

rewrite84.0ms

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:
9.0ms
(/ z (/ (sin y) y))
13.0ms
(/ (sin y) y)
30.0ms
(/ x (/ z (/ (sin y) y)))

series249.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(/ z (/ (sin y) y))
44.0ms
(/ (sin y) y)
110.0ms
(/ x (/ z (/ (sin y) y)))

simplify2.1s

Counts
302 → 302

prune1.1s

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 (/ y (sin y)))
0.1b
(/ y (sin y))
2.6b
(/ x (* z (/ y (sin y))))

rewrite57.0ms

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-/l*
5×pow1
4×prod-exp associate-/r* cbrt-unprod
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 83
Calls
3 calls:
22.0ms
(* z (/ y (sin y)))
10.0ms
(/ y (sin y))
22.0ms
(/ x (* z (/ y (sin y))))

series251.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(* z (/ y (sin y)))
53.0ms
(/ y (sin y))
114.0ms
(/ x (* z (/ y (sin y))))

simplify598.0ms

Counts
92 → 92

prune266.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes163.0ms

Accuracy

9.4% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify464.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s5851×body80valid
518.0ms989×body1280valid
301.0ms1043×body640valid
107.0ms525×body320valid
77.0ms293×body160valid