Details

Time bar (total: 16.5s)

sample165.0ms

Algorithm
intervals
Results
50.0ms41×body1280valid
36.0ms17×body2560valid
22.0ms33×body640valid
22.0ms142×body80valid
9.0ms19×body320valid
2.0msbody160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
111
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize76.0ms

Local error

Found 3 expressions with local error:

6.7b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.3b
(tan (/ x (* y 2.0)))
26.4b
(sin (/ x (* y 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
tan-quot
cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
Counts
3 → 49
Calls
3 calls:
14.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms
(tan (/ x (* y 2.0)))
8.0ms
(sin (/ x (* y 2.0)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
58.0ms
(tan (/ x (* y 2.0)))
19.0ms
(sin (/ x (* y 2.0)))

simplify1.4s

Counts
58 → 58
Iterations
IterNodes
done5002
33055
2502
1152
083

prune501.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 24.1b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune102.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.1b

localize36.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
26.0b
(cos (/ x (* y 2.0)))
26.4b
(sin (/ x (* y 2.0)))
26.4b
(sin (/ x (* y 2.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
add-cbrt-cube add-exp-log
div-inv
expm1-log1p-u pow1 log1p-expm1-u add-log-exp
cbrt-undiv associate-/r* div-exp
clear-num frac-2neg associate-/l/
Counts
4 → 99
Calls
4 calls:
28.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
8.0ms
(cos (/ x (* y 2.0)))
6.0ms
(sin (/ x (* y 2.0)))
8.0ms
(sin (/ x (* y 2.0)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
16.0ms
(cos (/ x (* y 2.0)))
13.0ms
(sin (/ x (* y 2.0)))
23.0ms
(sin (/ x (* y 2.0)))

simplify1.7s

Counts
111 → 111
Iterations
IterNodes
done5001
21786
1402
0167

prune811.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 24.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (cos (/ x (* 2.0 y))))
0.7b
(log1p (expm1 (/ 1 (cos (/ x (* 2.0 y))))))
0.8b
(expm1 (/ 1 (cos (/ x (* 2.0 y)))))
26.0b
(cos (/ x (* 2.0 y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-exp-log
add-cbrt-cube
pow1 log1p-expm1-u
expm1-log1p-u add-log-exp
associate-/r* associate-/l*
div-exp
cbrt-undiv rec-exp log1p-udef expm1-log1p clear-num frac-2neg 1-exp log1p-expm1 div-inv pow-flip inv-pow expm1-udef
Counts
4 → 64
Calls
4 calls:
8.0ms
(/ 1 (cos (/ x (* 2.0 y))))
0.0ms
(log1p (expm1 (/ 1 (cos (/ x (* 2.0 y))))))
0.0ms
(expm1 (/ 1 (cos (/ x (* 2.0 y)))))
4.0ms
(cos (/ x (* 2.0 y)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (cos (/ x (* 2.0 y))))
110.0ms
(log1p (expm1 (/ 1 (cos (/ x (* 2.0 y))))))
69.0ms
(expm1 (/ 1 (cos (/ x (* 2.0 y)))))
17.0ms
(cos (/ x (* 2.0 y)))

simplify3.6s

Counts
76 → 76
Iterations
IterNodes
done5000
33297
2586
1164
091

prune496.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 24.0b

regimes890.0ms

Accuracy

0% (2.5b remaining)

Error of 28.2b against oracle of 25.8b and baseline of 28.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.9s652×body2560valid
1.5s1349×body1280valid
1.1s4149×body80valid
861.0ms1014×body640valid
272.0ms552×body320valid
87.0ms284×body160valid